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cut_v by_o draw_v parallel_n that_o the_o long_a day_n in_o the_o parallel_n more_o remote_a from_o the_o aequator_fw-la exceed_v the_o long_a day_n of_o the_o parallel_n more_o near_o the_o equator_fw-la in_o a_o certain_a part_n of_o a_o hour_n or_o number_n of_o hour_n viz._n half_a a_o hour_n in_o place_n situate_v even_o to_o the_o arctic_a circle_n in_o other_o place_n a_o whole_a hour_n or_o some_o hour_n and_o day_n the_o begin_n of_o a_o climate_n be_v call_v a_o parallel_n with_o which_o the_o climate_n begin_v and_o be_v more_o nigh_o the_o aequator_fw-la the_o end_n of_o a_o climate_n be_v call_v a_o parallel_n terminate_n the_o climate_n the_o middle_n of_o a_o climate_n be_v call_v a_o parallel_n draw_v almost_o through_o the_o middle_a superficies_n of_o a_o climate_n so_o that_o in_o that_o the_o long_a day_n exceed_v the_o long_a day_n of_o the_o begin_n of_o a_o climate_n by_o a_o quarter_n of_o a_o hour_n or_o a_o half_a difference_n wherein_o the_o long_a day_n of_o 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the_o pole_n by_o a_o equal_a increase_n of_o distance_n viz._n for_o conveniency_n parallel_n of_o 10_o 20_o 30_o 40_o 50_o 60_o degree_n of_o latitude_n for_o these_o parallel_n in_o the_o globe_n let_v the_o pole_n be_v elevate_v to_o the_o latitude_n of_o 10_o degree_n and_o the_o first_o degree_n of_o cancer_n be_v bring_v to_o the_o oriental_a horizon_n and_o that_o be_v note_v let_v the_o point_n of_o the_o tropic_n be_v also_o note_v which_o then_o be_v in_o the_o occidental_a horizon_n for_o the_o arch_n of_o the_o tropic_a then_o be_v above_o the_o horizon_n show_v the_o stay_n of_o the_o sun_n above_o the_o horizon_n of_o the_o place_n 10_o degree_n of_o latitude_n the_o hour_n of_o this_o his_o stay_n may_v also_o be_v know_v by_o the_o index_n and_o horary_a circle_n then_o let_v the_o pole_n be_v elevate_v according_a to_o the_o latitude_n of_o the_o second_o place_n 20_o degree_n and_o the_o first_o degree_n of_o cancer_n be_v again_o bring_v to_o the_o oriental_a horizon_n let_v the_o point_n of_o the_o tropic_n be_v note_v in_o the_o occidental_a for_o the_o arch_n above_o the_o horizon_n will_v again_o note_v the_o stay_n which_o also_o may_v be_v know_v by_o the_o index_n and_o the_o circle_n in_o the_o hour_n the_o same_o may_v be_v use_v with_o place_n who_o latitude_n be_v 40_o 50_o 60_o 70_o degree_n and_o the_o like_a which_o be_v do_v let_v the_o diurual_a hour_n of_o the_o sun_n stay_v above_o the_o the_o horizon_n or_o the_o arch_n of_o the_o tropic_n be_v compare_v and_o it_o will_v be_v manifest_a that_o the_o quantity_n of_o the_o long_a day_n do_v much_o more_o increase_n in_o place_n more_o remote_a than_o in_o the_o place_n more_o adjacent_a to_o the_o aequator_fw-la and_o therefore_o the_o increase_n of_o the_o long_a day_n do_v more_o augment_v than_o the_o increase_n of_o the_o distance_n of_o the_o place_n from_o the_o aequator_fw-la note_v what_o have_v be_v say_v and_o show_v concern_v the_o long_a day_n that_o be_v true_a of_o all_o the_o day_n of_o one_o half_a of_o the_o year_n and_o be_v demonstrate_v after_o the_o same_o manner_n if_o instead_o of_o the_o tropic_a of_o cancer_n the_o parallel_n of_o the_o place_n be_v take_v and_o therefore_o although_o general_n must_v be_v deliver_v general_o yet_o because_o the_o doctrine_n of_o climate_n especial_o require_v the_o explication_n of_o the_o increase_n of_o the_o long_a day_n therefore_o we_o do_v not_o observe_v in_o this_o doctrine_n that_o law_n 〈◊〉_d 〈◊〉_d 〈◊〉_d 〈◊〉_d 〈◊〉_d proposition_n x._o if_o so_o many_o place_n or_o parallel_n be_v so_o take_v between_o the_o aequator_fw-la and_o
the_o pole_n that_o the_o long_a day_n of_o one_o place_n exceed_v the_o long_a day_n of_o the_o vicine_fw-la place_n which_o be_v more_o nigh_o the_o aequator_fw-la every_o where_n equal_a in_o excess_n or_o that_o the_o long_a day_n equal_o may_v increase_v pole_n of_o parallel_n between_o the_o aequator_fw-la and_o the_o pole_n these_o parallel_n shall_v not_o equal_o be_v distant_a one_o from_o another_o viz_o every_o vicine_fw-la couple_n but_o these_o which_o be_v more_o remote_a from_o the_o aequator_fw-la shall_v have_v a_o less_o distance_n than_o those_o more_o near_o the_o aequator_fw-la the_o truth_n of_o this_o proposition_n be_v show_v from_o the_o precedent_n for_o if_o these_o parallel_n shall_v be_v equal_o distant_a from_o one_o another_o viz._n every_o two_o vicine_fw-la the_o quantity_n of_o the_o long_a day_n in_o these_o parallel_n will_v not_o augment_v by_o a_o equal_a increase_n as_o we_o have_v here_o show_v and_o it_o be_v now_o lay_v down_o that_o the_o place_n or_o parallel_n so_o take_v equal_o increase_n that_o the_o long_a day_n may_v equal_o increase_v in_o they_o wherefore_o every_o two_o vicine_fw-la or_o near_a parallel_n shall_v not_o so_o equal_o be_v distant_a one_o from_o another_o but_o many_o parallel_n be_v take_v from_o the_o aequator_fw-la towards_o the_o pole_n on_o this_o condition_n that_o the_o long_a day_n may_v equal_o increase_v these_o parallel_n shall_v not_o be_v equal_o distant_a from_o one_o another_o but_o the_o distance_n of_o the_o three_o from_o the_o second_o shall_v be_v lesser_a than_o the_o second_o from_o the_o first_o that_o of_o the_o four_o less_o from_o the_o three_o that_o of_o the_o five_o lesser_o from_o the_o four_o and_o so_o forward_o corollary_n and_o because_o that_o many_o of_o the_o climate_n be_v so_o take_v that_o the_o long_a day_n in_o the_o final_a parallel_n of_o the_o climate_n exceed_v the_o long_a day_n of_o the_o begin_n at_o the_o climate_n by_o half_a a_o hour_n it_o follow_v from_o this_o proposition_n that_o the_o climate_n more_o remote_a from_o the_o aequator_fw-la be_v less_o broad_a or_o more_o narrow_a than_o these_o more_o near_o the_o aequator_fw-la and_o therefore_o the_o latitude_n and_o magnitude_n of_o the_o climate_n decrease_v towards_o the_o pole_n hence_o it_o come_v to_o pass_v see_v that_o the_o climate_n at_o length_n will_v become_v very_o narrow_a towards_o the_o pole_n if_o that_o the_o same_o excess_n shall_v be_v keep_v viz._n the_o excess_n of_o half_a a_o hour_n so_o that_o geographer_n define_v the_o bound_n of_o the_o northern_a climate_n not_o by_o half_a a_o hour_n but_o first_o by_o whole_a hour_n and_o then_o by_o whole_a day_n proposition_n xi_o the_o number_n of_o the_o hour_n of_o the_o long_a day_n be_v give_v in_o any_o place_n or_o parallel_v of_o the_o earth_n to_o find_v the_o latitude_n of_o the_o place_n or_o elevation_n of_o the_o pole_n of_o this_o parallel_n and_o to_o exhibit_v the_o parallel_n itself_o in_o the_o globe_n or_o to_o exhibit_v those_o place_n where_o the_o long_a day_n be_v so_o great_a cancer_n for_o the_o find_v the_o latitude_n of_o a_o place_n etc._n etc._n the_o long_a day_n in_o all_o northern_a place_n be_v when_o the_o sun_n be_v in_o the_o first_o degree_n of_o cancer_n let_v the_o place_n of_o the_o sun_n of_o the_o long_a day_n be_v bring_v to_o the_o meridian_n let_v the_o index_n be_v bring_v to_o the_o 12_o hour_n of_o the_o horary_a cycle_n let_v the_o globe_n be_v turn_v until_o the_o index_n show_v that_o hour_n of_o the_o cycle_n from_o which_o the_o give_a number_n of_o the_o long_a day_n be_v denominate_v and_o then_o let_v the_o point_n of_o the_o tropic_a in_o the_o meridian_n be_v note_v then_o let_v the_o first_o degree_n of_o cancer_n be_v bring_v to_o the_o oriental_a horizon_n and_o the_o meridian_n in_o the_o crena_n be_v so_o move_v to_o the_o pole_n elevate_v or_o depress_v until_o the_o other_o note_a point_n of_o the_o tropic_a be_v in_o the_o occidental_a horizon_n but_o so_o that_o the_o first_o degree_n of_o cancer_n be_v yet_o in_o the_o east_n which_o be_v do_v number_n the_o degree_n of_o the_o elevation_n of_o the_o pole_n for_o that_o be_v the_o seek_v for_o elevation_n or_o latitude_n of_o the_o parallel_n which_o you_o shall_v find_v in_o the_o very_a globe_n itself_o if_o you_o number_v so_o many_o degree_n in_o the_o meridian_n from_o the_o aequator_fw-la towards_o the_o pole_n and_o a_o chalk_n be_v apply_v you_o may_v turn_v round_o the_o globe_n to_o the_o term_n of_o the_o numeration_n for_o the_o describe_v parallel_n be_v that_o which_o be_v seek_v the_o probation_n of_o the_o method_n be_v easy_a proposition_n xii_o the_o number_n of_o some_o day_n be_v give_v to_o find_v out_o the_o latitude_n of_o the_o place_n or_o parallel_n and_o to_o exhibit_v the_o place_n of_o the_o frigid_a zone_n on_o the_o earth_n when_o the_o sun_n for_o so_o many_o day_n set_v not_o and_o for_o so_o many_o more_o arise_v not_o place_n further_n concern_v the_o latitude_n of_o place_n let_v the_o number_n of_o the_o day_n be_v divide_v in_o half_a and_o let_v so_o many_o degree_n be_v number_v in_o the_o ecliptic_a from_o the_o first_o degree_n of_o cancer_n as_o that_o divide_a or_o half_a number_n be_v or_o as_o many_o unite_v as_o this_o have_v the_o numeration_n may_v be_v make_v from_o both_o part_n of_o this_o begin_n let_v the_o term_n be_v be_v note_v with_o chalk_n if_o the_o day_n be_v more_o than_o thirty_o the_o number_n of_o the_o degree_n must_v be_v take_v lesser_a than_o a_o unite_n then_o let_v this_o note_a point_n be_v bring_v to_o the_o meridian_n and_o let_v the_o degree_n interrupt_v between_o that_o and_o the_o pole_n be_v number_v for_o these_o be_v the_o seek_v for_o elevation_n of_o the_o pole_n or_o latitude_n of_o the_o place_n wherein_o so_o many_o day_n as_o be_v give_v the_o sun_n set_v not_o and_o in_o so_o many_o day_n rise_v not_o you_o shall_v find_v the_o very_a place_n and_o parallel_n in_o the_o globe_n if_o that_o you_o number_v the_o find_v out_o latitude_n from_o the_o aequator_fw-la towards_o the_o pole_n in_o the_o meridian_n and_o design_v the_o parallel_n by_o chaulk_n apply_v to_o the_o term._n for_o this_o be_v that_o seek_v for_o and_o it_o contain_v all_o the_o place_n seek_v for_o for_o the_o demonstration_n of_o this_o solution_n let_v the_o pole_n be_v elevate_v for_o the_o latitude_n of_o the_o place_n find_v out_o and_o it_o will_v be_v manifest_a that_o the_o note_a degree_n of_o the_o ecliptic_a about_o the_o first_o degree_n of_o cancer_n set_v not_o beneath_o the_o horizon_n but_o remain_v above_o it_o the_o sun_n therefore_o pass_v over_o these_o point_n of_o the_o ecliptic_a set_v not_o now_o he_o pass_v through_o these_o point_n in_o so_o many_o day_n as_o be_v give_v as_o be_v apparent_a by_o the_o connstruction_n after_o the_o same_o manner_n we_o shall_v show_v the_o truth_n of_o this_o solution_n concern_v the_o day_n in_o which_o the_o sun_n do_v not_o arise_v at_o all_o in_o the_o place_n parallel_n find_v corollary_n it_o be_v easy_a therefore_o to_o find_v the_o elevation_n of_o the_o pole_n of_o those_o place_n or_o climate_n which_o lie_v in_o the_o frigid_a zone_n where_o the_o long_a day_n increase_v not_o by_o hour_n but_o by_o a_o number_n of_o whole_a day_n proposition_n xiii_o to_o frame_v or_o compose_v a_o table_n of_o the_o climate_n climate_n of_o the_o make_n a_o table_n of_o the_o climate_n this_o be_v call_v a_o table_n of_o climate_n in_o which_o at_o the_o beginning_n middle_a and_o end_n of_o every_o climate_n the_o elevation_n of_o the_o pole_n or_o là titude_n of_o the_o parallel_n and_o the_o very_a quantity_n of_o the_o long_a day_n be_v find_v note_v as_o also_o the_o interval_n of_o the_o climate_n or_o distance_n of_o the_o parallel_n the_o construction_n be_v easy_a for_o from_o the_o order_n of_o the_o climate_n the_o quantity_n for_o the_o long_a day_n for_o the_o beginning_n middle_a or_o end_n of_o every_o climate_n be_v find_v by_o add_v ¼_n of_o a_o hour_n to_o twelve_o hour_n by_o a_o continual_a succession_n then_o from_o the_o quantity_n of_o the_o long_a day_n of_o every_o parallel_n be_v find_v out_o the_o elevation_n or_o latitude_n of_o the_o pole_n of_o every_o one_o of_o they_o according_a to_o the_o xi_o proposition_n last_o you_o have_v the_o interval_n or_o latitude_n of_o the_o climate_n if_o you_o take_v the_o latitude_n of_o the_o beginning_n parallel_n from_o the_o latitude_n of_o the_o end_a parallel_n all_o these_o be_v note_v in_o the_o table_n we_o shall_v have_v a_o table_n of_o the_o climate_n which_o i_o have_v hereunto_o annex_v a_o table_n of_o the_o climate_n and_o parallel_n climate_n
parallel_n long_a day_n elevation_n of_o the_o pole_n the_o interval_n  _fw-fr  _fw-fr hour_n min._n deg_fw-la min._n  _fw-fr  _fw-fr the_o first_o the_o begin_n middle_a end_n &_o begin_n of_o the_o 2._o 12_o 0_o 0_o 0_o  _fw-fr  _fw-fr  _fw-fr  _fw-fr 12_o 15_o 4_o 15_o 0_o 1_o  _fw-fr  _fw-fr 12_o 30_o 8_o 25_o 8_o 25_o  _fw-fr  _fw-fr 12_o 45_o 12_o 30_o  _fw-fr  _fw-fr the_o second_o the_o middle_a the_o end_n 13_o 0_o 16_o 25_o 8_o  _fw-fr  _fw-fr  _fw-fr 13_o 15_o 20_o 15_o  _fw-fr  _fw-fr the_o three_o the_o middle_a the_o end_n 13_o 30_o 23_o 50_o 7_o 25_o  _fw-fr  _fw-fr 13_o 45_o 27_o 40_o  _fw-fr  _fw-fr the_o four_o the_o middle_a the_o end_n 14_o 0_o 30_o 20_o 6_o 30_o  _fw-fr  _fw-fr 14_o 15_o 33_o 40_o  _fw-fr  _fw-fr the_o five_o the_o middle_a the_o end_n 14_o 30_o 36_o 28_o 6_o 8_o  _fw-fr  _fw-fr 14_o 45_o 39_o 2_o  _fw-fr  _fw-fr the_o six_o the_o middle_a the_o end_n 15_o 0_o 41_o 22_o 4_o 52_o  _fw-fr  _fw-fr 15_o 15_o 43_o 32_o  _fw-fr  _fw-fr the_o seven_o the_o middle_a the_o end_n 15_o 30_o 45_o 29_o 4_o 7_o  _fw-fr  _fw-fr 15_o 45_o 47_o 20_o  _fw-fr  _fw-fr the_o eighth_z the_o middle_a the_o end_n 16_o 0_o 49_o 1_o 3_o 31_o  _fw-fr  _fw-fr 16_o 15_o 50_o 33_o  _fw-fr  _fw-fr the_o nine_o the_o middle_a the_o end_n 16_o 30_o 51_o 58_o 2_o 7_o  _fw-fr  _fw-fr 16_o 45_o 53_o 17_o  _fw-fr  _fw-fr the_o ten_o the_o middle_a the_o end_n 17_o 0_o 54_o 27_o 2_o 49_o  _fw-fr  _fw-fr 17_o 15_o 55_o 34_o  _fw-fr  _fw-fr the_o eleven_o the_o middle_a the_o end_n 17_o 30_o 56_o 37_o 2_o 10_o  _fw-fr  _fw-fr 17_o 45_o 57_o 32_o  _fw-fr  _fw-fr the_o twelve_o the_o middle_a the_o end_n 18_o 0_o 58_o 29_o  _fw-fr  _fw-fr  _fw-fr  _fw-fr 18_o 15_o 59_o 14_o  _fw-fr  _fw-fr the_o thirteen_o the_o middle_a the_o end_n 18_o 30_o 59_o 58_o  _fw-fr  _fw-fr  _fw-fr  _fw-fr 18_o 45_o 60_o 40_o  _fw-fr  _fw-fr the_o fourteen_o the_o middle_a the_o end_n 19_o 0_o 61_o 18_o  _fw-fr  _fw-fr  _fw-fr  _fw-fr 19_o 15_o 61_o 55_o  _fw-fr  _fw-fr the_o fifteen_o the_o middle_a the_o end_n 19_o 30_o 62_o 25_o  _fw-fr  _fw-fr  _fw-fr  _fw-fr 19_o 45_o 62_o 54_o  _fw-fr  _fw-fr the_o sixteenth_o the_o middle_a the_o end_n 20_o 0_o 63_o 22_o  _fw-fr  _fw-fr  _fw-fr  _fw-fr 20_o 15_o 64_o 40_o  _fw-fr  _fw-fr the_o seventeen_o the_o middle_a the_o end_n 20_o 30_o 64_o 6_o  _fw-fr  _fw-fr  _fw-fr  _fw-fr 20_o 45_o 64_o 30_o  _fw-fr  _fw-fr the_o eighteen_o the_o middle_a the_o end_n 21_o 0_o 65_o 49_o  _fw-fr  _fw-fr  _fw-fr  _fw-fr 21_o 15_o 65_o 6_o  _fw-fr  _fw-fr the_o nineteenth_o the_o middle_a the_o end_n 21_o 30_o 65_o 21_o  _fw-fr  _fw-fr  _fw-fr  _fw-fr 21_o 45_o 65_o 35_o  _fw-fr  _fw-fr the_o twenty_o the_o middle_a the_o end_n 22_o 0_o 65_o 47_o  _fw-fr  _fw-fr  _fw-fr  _fw-fr 22_o 15_o 66_o 57_o  _fw-fr  _fw-fr the_o 21_o the_o middle_a the_o end_n 22_o 30_o 66_o 6_o  _fw-fr  _fw-fr  _fw-fr  _fw-fr 22_o 45_o 66_o 14_o  _fw-fr  _fw-fr the_o 22d_o the_o middle_a the_o end_n 23_o 0_o 66_o 20_o  _fw-fr  _fw-fr  _fw-fr  _fw-fr 23_o 15_o 66_o 25_o  _fw-fr  _fw-fr the_o 23d_o the_o middle_a the_o end_n 23_o 30_o 66_o 28_o  _fw-fr  _fw-fr  _fw-fr  _fw-fr 23_o 45_o 66_o 30_o  _fw-fr  _fw-fr the_o 24_o the_o middle_a the_o end_n 24_o 0_o 66_o 31_o  _fw-fr  _fw-fr the_o climate_n be_v wont_a to_o be_v extend_v no_o further_o because_o that_o in_o the_o follow_a place_n the_o long_a day_n do_v not_o increase_v by_o hour_n but_o by_o whole_a day_n or_o diurnal_a revolution_n and_o it_o be_v lose_v labour_n to_o compute_v they_o notwithstanding_o the_o follow_a canon_n will_v show_v the_o elevation_n of_o the_o pole_n or_o latitude_n of_o the_o place_n where_o the_o long_a day_n increase_v by_o whole_a month_n month_n 1_o 2_o 3_o 4_o 5_o 6_o the_o latitude_n of_o the_o place_n deg_fw-la min._n deg_fw-la min._n deg_fw-la min._n deg_fw-la min._n deg_fw-la min._n deg_fw-la min._n  _fw-fr 67_o 20_o 69_o 30_o 73_o 20_o 78_o 20_o 84_o 0_o 90_o 0_o proposition_n fourteen_o to_o explain_v the_o method_n of_o other_o geographer_n in_o reckon_n of_o the_o climate_n and_o make_v the_o table_n of_o the_o climate_n geographer_n the_o division_n of_o the_o earth_n into_o climate_n by_o the_o ancient_a geographer_n the_o ancient_a geographer_n especial_o the_o grecian_n who_o suppose_v only_o a_o small_a portion_n of_o the_o earth_n to_o be_v inhabit_v because_o that_o as_o well_o the_o place_n northern_o as_o those_o of_o the_o torrid_a zone_n they_o deny_v as_o impossible_a to_o be_v inhabit_v therefore_o they_o divide_v only_o that_o portion_n of_o the_o earth_n which_o they_o know_v into_o climate_n and_o so_o only_o number_v seven_o climate_n from_o the_o aequator_fw-la towards_o the_o pole_n arctic_a and_o name_v they_o from_o some_o note_a place_n through_o which_o the_o parallel_n of_o the_o climate_n pass_v viz._n the_o first_o climate_n they_o call_v the_o climate_n through_o meroe_n which_o be_v a_o island_n and_o city_n in_o africa_n encompass_v by_o the_o nile_n the_o second_o through_o syene_n a_o city_n of_o egypt_n the_o three_o through_o alexandria_n in_o egypt_n the_o four_o through_o the_o island_n of_o rhodes_n the_o five_o through_o the_o hellespont_n other_o through_o rome_n the_o six_o through_o borysthenes_n a_o famous_a river_n of_o the_o european_a sarmatia_n the_o seven_o through_o the_o riphaean_a mountain_n of_o sarmatia_n the_o ancient_n number_v not_o the_o other_o climate_n from_o the_o other_o side_n of_o the_o aequator_fw-la towards_o the_o south_n because_o all_o those_o place_n be_v unknown_a to_o they_o and_o many_o thought_n that_o the_o sea_n possess_v all_o the_o superficies_n of_o the_o earth_n which_o see_v it_o seem_v somewhat_o improbable_a to_o the_o latter_a these_o also_o number_v the_o climate_n from_o the_o other_o side_n of_o the_o aequator_fw-la and_o they_o name_v they_o not_o from_o any_o note_a place_n for_o they_o have_v no_o knowledge_n of_o any_o but_o by_o the_o same_o appellation_n with_o those_o of_o the_o northern_a only_o prepose_v the_o preposition_n 〈◊〉_d 〈◊〉_d 〈◊〉_d 〈◊〉_d 〈◊〉_d as_o the_o climate_n 〈◊〉_d 〈◊〉_d 〈◊〉_d 〈◊〉_d 〈◊〉_d as_o if_o you_o shall_v say_v the_o climate_n opposite_a to_o the_o climate_n through_o meroe_n or_o syene_n etc._n etc._n ancient_n other_o climate_n add_v by_o the_o ancient_n but_o when_o through_o progress_n of_o time_n they_o discover_v many_o part_n of_o the_o earth_n lie_v towards_o the_o south_n pole_n to_o be_v inhabit_v many_o more_o climate_n be_v number_v and_o constitute_v some_o name_v the_o eight_o clime_n from_o the_o palus_n maeotis_n the_o nine_o from_o the_o baltic_a sea_n the_o ten_o the_o eleven_o and_o the_o rest_n from_o other_o place_n which_o denomination_n although_o not_o necessary_a for_o the_o construction_n of_o a_o table_n yet_o they_o may_v be_v add_v unto_o our_o table_n in_o those_o areae_fw-la where_o we_o have_v place_v the_o number_n of_o the_o climate_n for_o so_o the_o climate_n will_v stick_v close_o in_o our_o memory_n as_o also_o the_o place_n in_o every_o climate_n and_o we_o may_v be_v able_a to_o make_v a_o better_a comparison_n between_o the_o difference_n of_o cold_a and_o heat_n but_o this_o be_v better_a to_o leave_v to_o the_o industry_n of_o the_o reader_n and_o to_o those_o that_o be_v studious_a than_o to_o add_v it_o to_o it_o that_o so_o we_o may_v afford_v they_o a_o great_a occasion_n of_o contemplate_v the_o terrestrial_a globe_n and_o by_o this_o mean_n may_v more_o easy_o commit_v they_o to_o memory_n climate_n where_o the_o ancient_n begin_v the_o climate_n you_o must_v also_o take_v notice_n that_o the_o ancient_n do_v not_o begin_v the_o numeration_n of_o the_o climate_n from_o the_o aequator_fw-la itself_o as_o our_o table_n do_v but_o from_o the_o place_n or_o parallel_n where_o the_o long_a day_n consist_v of_o 12¾_n hour_n and_o therefore_o their_o first_o climate_n be_v the_o second_o in_o our_o table_n their_o second_o our_o three_o and_o so_o on_o for_o they_o suppose_v those_o place_n which_o we_o ascribe_v to_o the_o first_o climate_n can_v not_o possible_o be_v inhabit_v by_o man_n by_o reason_n of_o the_o excessive_a heat_n of_o the_o sun_n latitude_n the_o first_o climate_n of_o 9_o degree_n of_o latitude_n that_o therefore_o they_o judge_v it_o not_o meet_v to_o reckon_v those_o place_n but_o see_v that_o experience_n have_v demonstrate_v the_o contrary_a we_o will_v observe_v their_o mode_n of_o name_v and_o constitute_v of_o those_o climate_n ptolemy_n begin_v the_o first_o climate_n from_o the_o parallel_n where_o the_o long_a day_n be_v 12¼_n hour_n or_o where_o the_o latitude_n or_o distance_n from_o the_o aequator_fw-la be_v four_o degree_n 15_o minute_n the_o matter_n be_v of_o no_o great_a concernment_n yet_o it_o be_v better_a to_o begin_v from_o the_o aequator_fw-la that_o all_o the_o place_n may_v lie_v in_o some_o climate_n proposition_n xv._o to_o show_v the_o use_n of_o the_o table_n of_o the_o climate_n 1._o the_o latitude_n of_o some_o place_n or_o elevation_n of_o the_o pole_n be_v give_v to_o know_v the_o quantity_n of_o the_o long_a day_n in_o that_o place_n and_o the_o climate_n in_o which_o it_o lie_v let_v the_o give_v elevation_n of_o the_o pole_n be_v
more_o remote_a semicircle_n of_o the_o zodiac_n he_o first_o set_v to_o one_o place_n before_o he_o rise_v to_o another_o viz._n the_o perioeci_n and_o therefore_o they_o have_v no_o part_n of_o the_o day_n but_o some_o part_n of_o the_o night_n common_a and_o the_o sun_n for_o some_o hour_n or_o for_o some_o part_n of_o the_o hour_n depress_v beneath_o the_o horizon_n so_o that_o to_o one_o place_v it_o be_v the_o end_n of_o the_o night_n to_o the_o other_o the_o beginning_n 4._o after_o the_o same_o mode_n those_o star_n which_o decline_v from_o the_o aequator_fw-la towards_o the_o pole_n elevate_v to_o the_o perioeci_n may_v be_v see_v for_o some_o hour_n or_o for_o some_o part_n of_o hour_n at_o once_o viz._n before_o they_o be_v set_v to_o one_o place_n they_o be_v rise_v to_o another_o and_o on_o the_o contrary_a before_o they_o be_v rise_v to_o that_o they_o be_v not_o set_v to_o this_o and_o in_o this_o for_o so_o much_o the_o long_a time_n by_o how_o much_o the_o star_n be_v more_o remote_a from_o the_o aequator_fw-la towards_o the_o pole_n elevate_v on_o the_o contrary_a they_o never_o see_v those_o star_n together_o which_o decline_v from_o the_o aequator_fw-la towards_o the_o pole_n depress_v to_o the_o perioeci_n but_o they_o first_o set_v to_o one_o place_n before_o they_o arise_v to_o another_o and_o therefore_o for_o some_o time_n or_o for_o some_o hour_n or_o part_n of_o the_o hour_n of_o the_o day_n they_o be_v conspicuous_a to_o neither_o of_o the_o perioeci_n and_o for_o so_o much_o the_o long_a time_n by_o how_o much_o the_o star_n be_v more_o near_o the_o pole_n and_o those_o star_n which_o remain_v continual_o to_o the_o antoeci_n above_o the_o horizon_n be_v perpetual_o obscure_v to_o the_o perioeci_n 5._o what_o place_n of_o the_o earth_n one_o of_o the_o perioeci_n have_v in_o the_o set_n aequinoctial_a or_o to_o the_o west_n the_o same_o the_o other_o of_o the_o perioeci_n be_v about_o to_o show_v direct_v the_o digit_fw-la to_o the_o oriental_a quarter_n whereof_o one_o part_n be_v common_a to_o the_o antoeci_n the_o rest_n to_o the_o perioeci_n proposition_n ix_o the_o celestial_a affection_n of_o the_o antipode_n compare_v one_o with_o another_o be_v thus_o antipode_n the_o celestial_a affection_n of_o the_o antipode_n 1._o in_o all_o the_o day_n of_o the_o year_n the_o sun_n and_o the_o star_n rise_v to_o one_o place_n whilst_o they_o set_v to_o another_o for_o they_o have_v the_o same_o horizon_n although_o a_o different_a face_n 2._o the_o day_n of_o one_o be_v the_o night_n of_o another_o 3._o they_o have_v opposite_a equal_a day_n of_o the_o year_n as_o also_o night_n so_o that_o the_o long_a day_n of_o the_o one_o place_n be_v the_o short_a of_o the_o other_o 4._o they_o have_v contrary_a season_n of_o the_o year_n at_o the_o same_o time_n and_o the_o same_o season_n in_o a_o opposite_a time_n viz._n some_o have_v spring_n whilst_o the_o other_o have_v autumn_n the_o one_o summer_n whilst_o the_o other_o have_v winter_n and_o contrariwise_o 5._o they_o have_v the_o different_a pole_n elevate_v by_o a_o equal_a elevation_n they_o be_v equal_o distant_a from_o the_o aequator_fw-la but_o that_o from_o the_o diverse_a quarter_n of_o it_o they_o be_v seat_v in_o the_o same_o meridian_n but_o that_o be_v in_o its_o different_a semicircle_n 6._o they_o reckon_v indeed_o the_o contrary_a hour_n of_o the_o day_n but_o the_o same_o in_o name_n viz._n it_o be_v noon_n to_o one_o place_n whilst_o it_o be_v midnight_n to_o the_o other_o 7._o what_o star_n continual_o appear_v to_o one_o place_n or_o do_v remain_v above_o the_o horizon_n they_o perpetual_o remain_v beneath_o the_o horizon_n of_o the_o other_o place_n also_o what_o star_n remain_v a_o long_a space_n above_o the_o horizon_n of_o one_o place_n they_o remain_v but_o a_o short_a time_n above_o the_o horizon_n of_o the_o other_o place_n 8._o the_o sun_n and_o star_n seem_v to_o rise_v to_o the_o inhabitant_n of_o one_o place_n on_o the_o right_a hand_n to_o the_o inhabitant_n of_o the_o other_o on_o the_o left_a if_o that_o both_o shall_v turn_v their_o face_n to_o the_o aequator_fw-la proposition_n x._o the_o perioeci_n of_o one_o place_n be_v the_o antipode_n of_o the_o antoeci_n of_o that_o place_n and_o the_o antoeci_n of_o the_o antipode_n of_o that_o place_n so_o the_o antipode_n of_o one_o place_n be_v the_o perioeci_n of_o the_o antoeci_n of_o that_o place_n and_o the_o antoeci_n of_o the_o perioeci_n these_o be_v plain_a from_o the_o definition_n neither_o do_v they_o need_v probation_n proposition_n xi_o a_o place_n in_o the_o globe_n be_v give_v to_o find_v those_o place_n which_o have_v the_o same_o hour_n and_o meridies_n with_o the_o place_n give_v also_o those_o place_n which_o reckon_v contrary_a hour_n and_o midnight_n when_o it_o be_v midday_n in_o the_o place_n give_v glâ—be_n sundry_a question_n wrought_v and_o perform_v by_o the_o glâ—be_n let_v the_o place_n give_v be_v bring_v to_o the_o brazen_a meridian_n so_o all_o the_o place_n which_o be_v subject_a to_o the_o same_o semicircle_n of_o the_o meridian_n of_o this_o or_o those_o place_n which_o number_n at_o once_o all_o the_o same_o hour_n then_o let_v the_o index_n be_v place_v at_o the_o 12_o hour_n of_o the_o cycle_n and_o let_v the_o globe_n be_v turn_v round_o until_o the_o index_n show_v the_o other_o 12_o hour_n so_o the_o place_n which_o be_v subject_a to_o the_o same_o semicircle_n of_o the_o brazen_a meridian_n be_v those_o reckon_v hour_n contrary_a to_o the_o hour_n of_o the_o place_n give_v proposition_n xii_o a_o place_n be_v give_v in_o the_o globe_n to_o fiad_v those_o place_n in_o which_o all_o the_o day_n of_o the_o year_n be_v equal_a to_o the_o night_n of_o the_o former_a place_n let_v the_o place_n give_v be_v bring_v to_o the_o meridian_n and_o let_v the_o parallel_n of_o its_o antoeci_n be_v find_v all_o the_o place_n situate_v in_o this_o parallel_n satisfy_v the_o demand_n but_o if_o that_o a_o place_n be_v require_v who_o day_n be_v equal_a to_o the_o night_n of_o the_o place_n give_v and_o all_o the_o hour_n of_o the_o same_o then_o the_o place_n of_o the_o antoeci_n be_v only_o that_o seek_v for_o but_o if_o all_o the_o hour_n be_v contrary_a the_o place_n of_o the_o antipode_n only_o satisfi_v the_o demand_n proposition_n xiii_o a_o place_n in_o the_o globe_n and_o the_o day_n of_o the_o year_n be_v give_v to_o find_v the_o hour_n in_o which_o the_o inhabitant_n of_o that_o place_n and_o its_o antoeci_n both_o together_o may_v see_v the_o sun_n or_o in_o what_o hour_n the_o sun_n be_v above_o the_o horizon_n of_o both_o place_n also_o the_o hour_n in_o which_o he_o be_v soon_o see_v in_o one_o place_n than_o in_o another_o let_v the_o longitude_n or_o time_n of_o the_o stay_n of_o the_o sun_n above_o the_o horizon_n of_o the_o place_n give_v 25._o see_v propos_fw-fr 4._o chap._n 25._o at_o the_o day_n give_v according_a to_o the_o four_o proposition_n of_o the_o 25_o chapter_n be_v find_v the_o hour_n in_o which_o this_o time_n be_v deficient_a from_o 24_o hour_n be_v the_o hour_n of_o the_o day_n in_o the_o place_n of_o the_o antoeci_n for_o these_o two_o place_n have_v the_o sun_n elevate_v together_o so_o many_o hour_n as_o the_o day_n of_o the_o place_n give_v consist_v of_o hour_n or_o the_o day_n of_o the_o antoeci_n viz._n of_o that_o day_n which_o have_v no_o more_o than_o 12_o hour_n as_o he_o be_v in_o the_o day_n of_o the_o aequinox_n but_o lesser_a than_o other_o day_n or_o that_o i_o may_v speak_v more_o plain_o if_o the_o day_n of_o the_o place_n give_v be_v less_o than_o 12_o hour_n than_o the_o antoeci_n shall_v see_v the_o sun_n on_o the_o same_o hour_n but_o yet_o in_o more_o to_o wit_n before_o and_o after_o that_o time_n but_o if_o the_o day_n of_o the_o place_n give_v be_v more_o than_o 12_o hour_n the_o number_n of_o the_o hour_n of_o the_o night_n must_v be_v take_v for_o so_o many_o hour_n together_o the_o antoeci_n shall_v see_v the_o sun_n and_o no_o more_o and_o these_o hour_n be_v to_o be_v reckon_v about_o the_o meridies_n because_o they_o have_v their_o meridies_n together_o then_o half_a of_o the_o difference_n of_o the_o day_n or_o the_o difference_n between_o the_o day_n and_o night_n of_o the_o same_o place_n will_v show_v the_o hour_n in_o which_o the_o sun_n arise_v soon_o above_o the_o horizon_n of_o one_o place_n and_o also_o set_v late_a than_o to_o the_o other_o place_n of_o the_o antoeci_n proposition_n fourteen_o a_o place_n be_v give_v in_o the_o globe_n and_o the_o day_n of_o the_o year_n to_o find_v the_o hour_n in_o which_o the_o inhabitant_n of_o that_o place_n together_o see_v the_o sun_n with_o their_o
therefore_o a_o round_a spherical_a figure_n be_v to_o be_v assign_v to_o the_o earth_n because_o all_o the_o appearance_n as_o well_o celestial_a as_o the_o divers_a elevation_n of_o the_o pole_n the_o divers_a altitude_n of_o the_o sun_n of_o that_o day_n in_o divers_a country_n the_o reason_n of_o the_o shadow_n the_o difference_n and_o increase_n of_o the_o long_a day_n towards_o the_o pole_n time_n of_o the_o rise_n and_o set_v of_o the_o star_n etc._n etc._n as_o terrestrial_a as_o the_o direction_n of_o navigation_n the_o appear_v and_o hide_v of_o tower_n and_o mountain_n the_o distance_n of_o place_n the_o port_n coast_n wind_n etc._n etc._n be_v most_o commodious_o declare_v by_o that_o round_a or_o spherical_a form_n or_o figure_n neither_o can_v another_o figure_n be_v devise_v which_o can_v perform_v that_o as_o it_o be_v manifest_a by_o the_o consideration_n of_o divers_a figure_n and_o form_n of_o body_n and_o our_o artificial_a terrestrial_a globe_n so_o just_o represent_v all_o these_o thing_n as_o they_o be_v real_o find_v to_o be_v in_o the_o earth_n which_o certain_o can_v not_o be_v do_v if_o the_o earth_n have_v any_o form_n or_o figure_n than_o that_o of_o our_o artificial_a globe_n and_o what_o other_o form_n soever_o you_o shall_v choose_v there_o will_v follow_v innumerable_a absurdity_n for_o it_o be_v manifest_a that_o it_o be_v not_o plain_a by_o the_o appearance_n hither_o allege_v and_o that_o it_o neither_o can_v be_v hollow_a be_v clear_a from_o this_o that_o the_o sun_n and_o star_n ought_v first_o than_o to_o appear_v to_o the_o western_a people_n than_o to_o the_o eastern_a if_o it_o be_v of_o such_o a_o figure_n as_o we_o see_v the_o sun_n rise_v first_o to_o illuminate_v the_o valley_n before_o it_o can_v give_v light_n to_o the_o averse_a part_n of_o mountain_n chap._n iu._n concern_v the_o dimension_n and_o magnitude_n of_o the_o earth_n earth_n the_o opinion_n of_o divers_a writer_n concern_v the_o dimension_n and_o magnitude_n of_o the_o earth_n the_o dimension_n or_o measure_n of_o the_o earth_n comprehend_v three_o principal_a head_n first_o the_o longitude_n or_o length_n of_o the_o diameter_n or_o half_a diameter_n that_o be_v of_o a_o line_n from_o the_o superficies_n to_o the_o centre_n as_o also_o of_o a_o periphery_a of_o the_o earth_n or_o the_o circumference_n second_o the_o magnitude_n of_o the_o superficies_n of_o the_o whole_a earth_n three_o the_o solidness_n or_o corporeal_a dimension_n of_o the_o earth_n but_o these_o thing_n be_v so_o contrive_v together_o that_o one_o of_o they_o be_v know_v the_o other_o two_o come_v to_o our_o knowledge_n by_o geometrical_a instrument_n because_o the_o earth_n be_v a_o certain_a sphere_n as_o it_o be_v show_v in_o the_o second_o chapter_n this_o property_n be_v the_o most_o noble_a and_o hard_a to_o know_v and_o have_v exercise_v the_o most_o excellent_a wit_n for_o many_o age_n insomuch_o that_o some_o man_n have_v write_v whole_a book_n concern_v this_o matter_n and_o therefore_o i_o have_v think_v that_o it_o will_v not_o prove_v ungrateful_a to_o the_o student_n of_o geometry_n if_o i_o shall_v full_o relate_v here_o the_o history_n of_o this_o dimension_n diogenes_n laertius_n praise_v anaximander_n the_o milesian_n the_o scholar_n of_o thales_n thales_n anaximander_n the_o milesian_n the_o scholar_n of_o thales_n that_o beside_o other_o astronomical_a invention_n he_o first_o of_o all_o other_o describe_v the_o circuit_n or_o perimeter_n of_o both_o land_n and_o sea_n but_o anaximander_n live_v about_o the_o year_n 550_o before_o the_o birth_n of_o christ_n the_o mathematician_n of_o succeed_a age_n seem_v to_o have_v follow_v his_o dimension_n even_o until_o eratosthenes_n aristotle_n aristotle_n because_o author_n make_v mention_n of_o none_o other_o and_o therefore_o i_o judge_v that_o to_o be_v the_o magnitude_n assign_v by_o anaximander_n which_o aristotle_n have_v note_v in_o the_o end_n of_o his_o second_o book_n de_fw-fr coelo_fw-la say_v the_o mathematician_n also_o which_o endeavour_n to_o measure_v out_o the_o magnitude_n of_o the_o world_n report_v that_o the_o earth_n be_v bound_v in_o and_o gird_v with_o four_o hundred_o stadiums_n by_o this_o perimeter_n it_o be_v no_o difficult_a matter_n to_o assign_v the_o half_a diameter_n of_o the_o earth_n according_a to_o anaximander_n but_o because_o we_o can_v find_v nothing_o note_v concern_v anaximander_n invention_n beside_o that_o one_o place_n of_o diogenes_n laertius_n eratosthenes_n eratosthenes_n his_o and_o eratosthenes_n his_o diligence_n be_v obscure_v who_o next_o after_o anaximander_n undertake_v this_o business_n with_o great_a applause_n of_o all_o man_n he_o live_v about_o two_o hundred_o year_n before_o christ_n and_o as_o he_o be_v most_o conversant_a in_o the_o rest_n of_o the_o mathematics_n and_o dimension_n so_o he_o be_v esteem_v most_o accurate_o to_o have_v perfect_v gâ—eodaesia_n or_o survey_v and_o this_o glory_n be_v principal_o ascribe_v to_o he_o but_o he_o discover_v and_o deliver_v earth_n the_o circuit_n of_o the_o earth_n that_o the_o perimeter_n or_o circuit_n of_o the_o earth_n be_v two_o hundred_o fifty_o thousand_o stadiums_n or_o furlong_n but_o other_o two_o hundred_o fifty_o two_o thousand_o which_o pliny_n report_v to_o make_v up_o three_o hundred_o fifteen_o thousand_o roman_a mile_n every_o one_o of_o which_o be_v think_v to_o be_v a_o thousand_o pace_n eratosthenes_n have_v write_v three_o book_n of_o geography_n eratosthenes_n eratosthenes_n which_o by_o reason_n of_o the_o injury_n of_o time_n be_v now_o not_o to_o be_v find_v strabo_n strabo_n strabo_n the_o famous_a geographer_n relate_v the_o content_n and_o argument_n of_o each_o book_n cleomedes_n cleomedes_n and_o cleomedes_n have_v note_v up_o his_o manner_n which_o eratosthenes_n use_v for_o the_o discovery_n of_o the_o circuit_n of_o the_o earth_n in_o which_o what_o can_v be_v want_v we_o will_v hereafter_o declare_v for_o indeed_o eratosthenes_n his_o measure_v forth_o the_o earth_n be_v by_o many_o mathematician_n especial_o hipparchus_n a_o hundred_o year_n after_o eratosthenes_n judge_v to_o swerve_v from_o the_o truth_n although_o there_o be_v nothing_o write_v touch_v eratosthenes_n his_o dimension_n or_o measure_v forth_o the_o earth_n but_o that_o he_o add_v twenty_o five_o thousand_o stadium_n to_o the_o perimeter_n possidonius_fw-la possidonius_fw-la but_o posidonius_n be_v not_o only_o a_o most_o know_a astronomer_n and_o practioner_n but_o also_o in_o every_o part_n of_o philosophy_n most_o expert_a do_v next_o after_o eratosthenes_n enter_v upon_o this_o doctrine_n a_o little_a before_o the_o birth_n of_o christ_n to_o wit_n in_o the_o time_n of_o cicero_n and_o pompey_n this_o man_n by_o his_o dimension_n find_v the_o circumference_n of_o the_o earth_n to_o be_v two_o hundred_o forty_o thousand_o stadium_n cleomedes_n cleomedes_n as_o cleomedes_n have_v note_v but_o 180000_o stadium_n strabo_n strabo_n as_o strabo_n have_v deliver_v whereby_o arise_v a_o great_a doubt_n concern_v the_o cause_n of_o this_o difference_n between_o cleomedes_n and_o strabo_n his_o allowance_n see_v this_o of_o strabo_n be_v the_o true_a although_o utter_v in_o a_o few_o word_n but_o cleomedes_n his_o assignation_n of_o the_o same_o be_v far_o from_o truth_n although_o he_o read_v and_o expound_v posidonius_n his_o geodesie_n to_o many_o concern_v his_o size_n or_o manner_n we_o will_v speak_v hereafter_o but_o the_o dimension_n of_o eratosthenes_n be_v use_v as_o yet_o of_o many_o even_o to_o ptolomy_n time_n the_o year_n 144_o after_o christ_n who_o use_v a_o perimeter_n of_o 180000_o stadium_n and_o affirm_v it_o to_o be_v more_o agreeable_a to_o truth_n insomuch_o that_o this_o very_a invention_n be_v by_o theon_n ascribe_v to_o he_o theon_n theon_n it_o be_v gather_v that_o marinus_n a_o famous_a geographer_n marinus_n marinus_n and_o by_o who_o write_n ptolemy_n be_v much_o aid_v do_v attempt_v something_o in_o this_o business_n as_o appear_v by_o his_o geographical_a write_n of_o the_o same_o ptolemy_n after_o these_o time_n when_o as_o the_o study_n and_o prosecution_n of_o the_o science_n by_o little_a and_o little_o vanish_v away_o in_o greece_n nothing_o be_v do_v in_o this_o business_n neither_o do_v the_o roman_n undertake_v any_o thing_n herein_o but_o the_o arabian_n and_o sarazon_n have_v obtain_v the_o empire_n or_o glory_n of_o other_o art_n from_o the_o grecian_n to_o themselves_o so_o likewise_o they_o leave_v not_o this_o part_n of_o the_o mathematics_n untouched_a forasmuch_o as_o snellius_n relate_v out_o of_o abelfedea_n a_o arabian_a geographer_n who_o flourish_v about_o the_o year_n of_o christ_n 1300_o and_o who_o write_n be_v print_v at_o rome_n about_o the_o 800_o year_n of_o the_o christian_a account_n flourish_v maimon_n ring_n of_o arabia_n studious_a in_o geography_n in_o who_o day_n it_o flourish_v maimon_n king_n of_o the_o arabian_n or_o the_o calife_n of_o babylon_n be_v studious_a in_o the_o mathematics_n forasmuch_o as_o he_o
sun_n theorem_fw-la the_o meridian_n of_o every_o place_n pass_v through_o both_o the_o pole_n of_o the_o earth_n the_o meridian_n be_v draw_v through_o every_o ten_o degree_n of_o the_o aequator_fw-la which_o be_v the_o meridian_n of_o all_o those_o place_n through_o which_o they_o pass_v but_o instead_o of_o the_o meridian_n of_o all_o other_o place_n that_o do_v supply_v the_o place_n which_o be_v make_v of_o brass_n and_o in_o which_o the_o globe_n do_v hang._n for_o instance_n if_o that_o any_o place_n in_o the_o superficies_n of_o the_o globe_n be_v bring_v unto_o the_o brazen_a meridian_n that_o shall_v be_v the_o meridian_n of_o the_o place_n in_o map_n of_o straight_a line_n the_o meridian_n be_v straight_o line_n draw_v from_o the_o top_n or_o uppermost_a part_n unto_o the_o bottom_n in_o map_n of_o crooked_a line_n they_o be_v those_o crooked_a line_n which_o join_v in_o the_o pole_n norizou_n the_o norizou_n sight_o the_o horizon_n of_o any_o place_n in_o the_o superficies_n of_o the_o earth_n be_v the_o great_a imaginary_a circle_n in_o the_o heaven_n which_o terminate_v the_o visible_a part_n of_o the_o heaven_n in_o that_o place_n it_o be_v also_o term_v the_o rational_a horizon_n that_o it_o may_v be_v distinguish_v from_o the_o visible_a horizon_n which_o be_v improper_o so_o call_v it_o have_v no_o place_n in_o the_o artificial_a globe_n but_o a_o wooden_a circle_n in_o which_o the_o globe_n be_v sustain_v with_o its_o brazen_a meridian_n and_o serve_v instead_o of_o the_o horizon_n of_o any_o place_n as_o shall_v be_v show_v in_o the_o next_o chapter_n and_o therefore_o it_o be_v term_v the_o wooden_a horizon_n and_o simple_o the_o horizon_n these_o be_v the_o definition_n who_o knowledge_n be_v necessary_a for_o the_o attain_v the_o follow_a doctrine_n beside_o which_o it_o behove_v we_o to_o borrow_v from_o astronomy_n the_o mode_n of_o the_o motion_n of_o the_o sun_n and_o star_n star_n the_o motion_n of_o the_o sun_n moon_n and_o star_n the_o first_o and_o common_a motion_n be_v that_o by_o which_o the_o sun_n moon_n and_o all_o the_o star_n seem_v to_o be_v carry_v round_o about_o the_o earth_n to_o arise_v to_o we_o to_o make_v the_o meridian_n and_o to_o set_v and_o that_o in_o the_o space_n of_o twenty_o four_o hour_n every_o one_o of_o the_o star_n and_o the_o sun_n every_o day_n by_o this_o their_o common_a motion_n seem_v to_o deseribe_v parallel_n circle_n unto_o the_o aequator_fw-la because_o that_o this_o motion_n be_v perform_v upon_o the_o axis_n of_o the_o earth_n and_o the_o pole_n of_o the_o same_o and_o therefore_o the_o aequator_fw-la be_v the_o great_a circle_n of_o this_o motion_n and_o the_o rule_n and_o square_n by_o which_o we_o measure_v the_o motion_n of_o the_o other_o parallel_n in_o every_o hour_n they_o pass_v fifteen_o degree_n through_o the_o meridian_n both_o of_o the_o aequator_fw-la and_o every_o other_o parallel_n for_o 360_o degree_n divide_v by_o 24_o the_o hour_n give_v unto_o every_o hour_n fifteen_o and_o therefore_o one_o hour_n and_o fifteen_o degree_n of_o the_o aequator_fw-la make_v a_o equal_a proportion_n the_o horary_a circle_n show_v the_o hour_n which_o circle_n be_v affix_v unto_o the_o artificial_a globe_n be_v see_v in_o the_o brazen_a meridian_n where_o the_o pin_n or_o hand_n adher_v to_o the_o extremity_n of_o the_o axis_n of_o the_o earth_n and_o it_o be_v turn_v about_o in_o the_o horary_a circle_n to_o show_v the_o hour_n sun_n the_o second_o motion_n of_o the_o sun_n second_o the_o proper_a and_o second_o motion_n of_o the_o sun_n which_o be_v also_o annual_a be_v that_o in_o which_o the_o sun_n or_o rather_o the_o earth_n be_v move_v from_o west_n to_o east_n or_o contrary_a to_o its_o first_o motion_n the_o time_n or_o number_n of_o the_o day_n in_o which_o the_o sun_n return_v unto_o the_o same_o point_n from_o whence_o it_o depart_v or_o in_o which_o it_o perform_v its_o whole_a period_n or_o circle_n be_v term_v a_o year_n now_o such_o a_o year_n be_v 361_o day_n and_o one_o four_o part_n of_o a_o day_n or_o thereabouts_o the_o way_n of_o this_o second_o solary_a motion_n be_v term_v the_o ecliptic_a as_o we_o have_v say_v before_o which_o be_v divide_v into_o twelve_o part_n which_o be_v call_v sign_n for_o astronomer_n have_v observe_v these_o constellation_n of_o the_o heaven_n through_o which_o this_o way_n of_o the_o sun_n do_v lie_v and_o from_o these_o constellation_n denominate_v the_o twelve_o part_n of_o the_o ecliptic_a and_o because_o that_o all_o constellation_n represent_v the_o form_n of_o animal_n therefore_o the_o ancient_n term_v that_o way_n or_o ecliptic_a weaven_n the_o zodiac_n zone_n or_o girdle_n in_o the_o weaven_n the_o zodiac_n yet_o those_o which_o speak_v more_o distinct_o call_v the_o zodiac_n a_o zone_n or_o girdle_n in_o the_o heaven_n who_o middle_a be_v the_o very_a ecliptic_a itself_o or_o path_n of_o the_o sun_n but_o the_o extreme_a part_n from_o both_o side_n of_o the_o ecliptic_a be_v distant_a from_o it_o eight_o degree_n by_o reason_n that_o the_o rest_n of_o the_o planet_n have_v a_o certain_a peculiar_a motion_n from_o east_n to_o west_n in_o which_o motion_n they_o do_v not_o describe_v the_o ecliptic_a itself_o but_o path_n decline_v somewhat_o from_o the_o ecliptic_a which_o declination_n by_o reason_n that_o it_o exceed_v not_o 8_o degree_n therefore_o they_o do_v attribute_v 16_o degree_n of_o latitude_n unto_o the_o zodiac_n viz._n eight_o from_o both_o part_n of_o the_o ecliptic_a so_o that_o the_o zodiac_n be_v that_o space_n of_o the_o heaven_n in_o which_o the_o planet_n be_v always_o move_v neither_o do_v they_o ever_o move_v out_o of_o it_o and_o the_o ecliptic_a be_v the_o middle_a line_n of_o the_o zodiac_n which_o the_o sun_n pass_v through_o by_o a_o annual_a motion_n in_o which_o it_o always_o keep_v its_o fix_a course_n moreover_o the_o sign_n or_o constellation_n of_o the_o heaven_n through_o which_o the_o ecliptic_a and_o the_o zodiac_n pass_v be_v these_o march_v 21._o  _fw-fr  _fw-fr zodiac_n the_o sign_n of_o the_o zodiac_n ♈_o ♉_o ♊_o aries_n taurus_n gemini_fw-la june_n 21._o  _fw-fr  _fw-fr ♋_o ♌_o â™_o cancer_n leo_n virgo_fw-la september_n 21._o  _fw-fr  _fw-fr ♎_o â™_o â™_o libra_n scorpius_n sagitarius_n december_n 21._o  _fw-fr  _fw-fr ♑_o â™’_o ♓_o capricorn_n aquarius_n pisces_fw-la moreover_o the_o ecliptic_a oblique_o cut_v the_o aequator_fw-la ecliptic_a ecliptic_a so_o that_o its_o great_a distance_n be_v twenty_o three_o degree_n and_o about_o thirty_o minute_n where_o therefore_o the_o ecliptic_a cut_v the_o aequator_fw-la which_o he_o do_v in_o two_o point_n in_o one_o of_o these_o be_v place_v the_o beginning_n of_o the_o ecliptic_a and_o also_o the_o beginning_n of_o the_o account_v of_o the_o sigus_fw-la in_o those_o point_v the_o sun_n then_o be_v in_o cause_v the_o equality_n of_o the_o day_n and_o night_n in_o all_o place_n as_o also_o the_o beginning_n of_o the_o vernal_a and_o autumnal_a quarter_n we_o begin_v to_o number_v from_o that_o point_n in_o which_o the_o sun_n make_v the_o beginning_n of_o the_o spring_n to_o we_o that_o be_v we_o be_v situate_a from_o the_o aequator_fw-la towards_o the_o pole_n arctic_a the_o first_o sign_n or_o first_o twelve_o part_n of_o the_o ecliptic_a be_v term_v aries_n the_o second_o taurus_n the_o three_o gemini_fw-la and_o so_o forth_o as_o aforesaid_a because_o about_o twenty_o age_n past_a those_o sign_n of_o the_o heaven_n be_v in_o these_o very_a part_n of_o the_o ecliptic_a every_o one_o of_o these_o twelve_o sign_n be_v divide_v into_o thirty_o degree_n for_o the_o whole_a ecliptic_a have_v three_o hundred_o and_o sixty_o degree_n which_o be_v divide_v by_o 12_o make_v 30._o moreover_o see_v that_o the_o sun_n pass_v over_o the_o whole_a ecliptic_a that_o be_v 360_o degree_n in_o 365_o day_n and_o one_o four_o part_n of_o a_o day_n hence_o we_o collect_v that_o in_o every_o day_n he_o pass_v 59_o minute_n and_o 8_o second_o which_o be_v something_o less_o than_o a_o degree_n sun_n the_o motion_n of_o the_o sun_n now_o as_o the_o sun_n in_o a_o year_n time_n or_o 12_o month_n run_v over_o the_o whole_a ecliptic_a or_o 12_o sign_n of_o the_o zodiac_n so_o also_o in_o every_o month_n he_o pass_v about_o one_o sign_n but_o his_o entrance_n into_o the_o sign_n be_v not_o at_o the_o begin_n of_o the_o month_n but_o on_o the_o 21th_o day_n of_o every_o month_n and_o this_o be_v according_a to_o the_o gregorian_a calendar_n and_o on_o the_o 11_o day_n of_o every_o month_n according_a to_o the_o old_a julian_n account_n viz._n on_o the_o 21th_o of_o march_n he_o enter_v the_o sign_n of_o aries_n or_o the_o very_a section_n of_o the_o ecliptic_a with_o the_o aequator_fw-la then_o on_o the_o 21th_o of_o april_n he_o enter_v taurus_n and_o so_o on_o now_o
seek_v in_o the_o table_n and_o on_o the_o opposite_a region_n we_o shall_v find_v both_o the_o quantity_n of_o the_o long_a day_n as_o also_o the_o climate_n and_o the_o parallel_n if_o that_o the_o give_v elevation_n can_v be_v find_v in_o the_o table_n then_o take_v that_o elevation_n which_o be_v less_o near_o or_o the_o like_a which_o be_v find_v in_o the_o table_n climate_n from_o the_o longitude_n of_o the_o long_a day_n of_o any_o place_n to_o know_v the_o latude_n of_o the_o place_n and_o the_o parallel_n and_o climate_n 2._o the_o longitude_n of_o the_o long_a day_n of_o any_o place_n be_v give_v which_o any_o person_n have_v observe_v or_o receive_v by_o relation_n to_o know_v from_o thence_o the_o latitude_n of_o that_o place_n the_o parallel_n and_o the_o climate_n in_o which_o that_o place_n lie_v enter_v the_o table_n with_o the_o latitude_n give_v and_o you_o shall_v see_v on_o the_o opposite_a region_n both_o the_o latitude_n and_o the_o place_n demand_v as_o also_o the_o climate_n and_o parallel_n 3._o a_o climate_n be_v give_v to_o determine_v the_o longitude_n of_o the_o long_a day_n and_o the_o elevation_n of_o the_o pole_n this_o be_v facile_a from_o the_o very_a sight_n of_o the_o table_n chap._n xxvi_o of_o the_o light_n heatt_z cold_a rains_n in_o the_o diverse_a part_n of_o the_o earth_n or_o zone_n and_o other_o property_n of_o the_o zone_n proposition_n i._o these_o cause_n be_v efficacious_a to_o generate_v and_o procure_v light_a heatt_z cold_a and_o rain_n with_o other_o meteor_n in_o the_o place_n of_o the_o earth_n and_o the_o vicine_fw-la air._n heat_n of_o the_o cause_n of_o heat_n 1._o the_o more_o or_o less_o or_o no_o obliquity_n of_o the_o ray_n of_o the_o sun_n come_v to_o or_o emit_v on_o any_o place_n for_o the_o ray_n fall_v perpendicular_a on_o any_o place_n cause_n great_a heat_n and_o the_o other_o ray_n slide_v oblique_o have_v for_o that_o very_a reason_n a_o less_o power_n of_o heat_n by_o how_o much_o the_o obliquity_n of_o they_o be_v the_o great_a that_o be_v by_o how_o much_o the_o more_o they_o decline_v from_o the_o perpendicular_a ray._n 2._o the_o diurnal_a stay_n of_o the_o sun_n above_o the_o horizon_n of_o the_o place_n for_o the_o same_o heat_n make_v more_o hot_a and_o change_v the_o air_n in_o a_o long_a time_n than_o in_o a_o short_a 3._o the_o depression_n of_o the_o sun_n beneath_o the_o horizon_n be_v more_o or_o less_o in_o the_o night_n season_n for_o this_o difference_n of_o depression_n cause_v that_o either_o more_o or_o less_o light_a be_v perceive_v in_o the_o air_n also_o more_o or_o less_o heat_n rain_n thick_a cloud_n hitherto_o belong_v the_o twilight_n 4._o the_o more_o or_o less_o elevation_n of_o the_o moon_n above_o the_o horizon_n the_o more_o or_o less_o depression_n of_o the_o same_o beneath_o the_o horizon_n the_o more_o or_o less_o diurnal_a stay_n of_o the_o same_o above_o the_o horizon_n the_o cause_n be_v the_o same_o with_o those_o allege_v in_o the_o three_o forego_v paragraph_n air._n the_o planet_n and_o fix_a star_n raise_v vapour_n etc._n etc._n in_o the_o air._n 5._o the_o same_o may_v be_v say_v of_o fix_a star_n especial_o of_o those_o more_o note_a one_o and_o of_o the_o five_o other_o planet_n saturn_n jupiter_n mars_n venus_n and_o mercury_n for_o they_o generate_v some_o light_n and_o heat_n in_o the_o air_n although_o it_o be_v but_o little_a and_o change_v the_o air_n divers_a way_n and_o raise_v vapour_n if_o that_o we_o may_v credit_v astronomer_n 6._o the_o propriety_n or_o species_n of_o the_o earth_n of_o every_o place_n for_o where_o the_o earth_n be_v more_o stony_a and_o rocky_a there_o for_o the_o most_o part_n it_o be_v more_o cold_a than_o where_o it_o be_v sulphureous_a and_o fat_a and_o here_o again_o it_o be_v more_o fertile_a where_o there_o be_v much_o sand_n and_o no_o river_n there_o be_v great_a heat_n lake_n fume_n and_o mist_n proceed_v from_o lake_n 7._o lake_n or_o the_o sea_n adjacent_a from_o thence_o also_o fume_n and_o mist_n be_v raise_v more_o moist_a and_o frequent_a in_o the_o air_n and_o the_o ray_n be_v less_o powerful_o reflect_v from_o the_o sea_n than_o from_o the_o earth_n 8._o the_o situation_n of_o place_n for_o the_o sun_n act_v otherwise_o on_o mountain_n and_o mountainous_a place_n than_o on_o valley_n and_o plain_n moreover_o mountain_n hinder_v the_o free_a access_n of_o the_o ray_n of_o the_o sun_n to_o the_o subject_a place_n for_o to_o they_o the_o vapour_n of_o the_o air_n be_v in_o some_o sort_n attract_v 20._o see_v chap._n 20._o whence_o the_o mountain_n change_v the_o season_n of_o the_o adjacent_a place_n as_o heatt_z rain_n and_o the_o like_a for_o these_o will_v be_v otherwise_o in_o the_o subject_a place_n if_o that_o the_o mountain_n be_v absent_a weather_n the_o wind_n cause_n difference_n in_o the_o weather_n 9_o the_o wind_n especial_o the_o general_a so_o the_o etesian_a wind_n temperate_a and_o allay_v the_o canicular_a heat_n a_o general_a wind_n in_o the_o torrid_a zone_n especial_o the_o subsolan_n wind_n in_o brasilia_n render_v the_o heat_n temperate_a when_o in_o africa_n which_o be_v occidental_a the_o heat_n be_v vehement_a because_o these_o place_n feel_v not_o so_o general_a a_o wind._n the_o northern_a wind_n be_v cold_a and_o dry_a the_o southern_a warm_a and_o moist_a in_o our_o place_n 10._o cloud_n rain_n and_o fog_n take_v away_o and_o diminish_v light_a and_o heat_n i_o suppose_v that_o there_o be_v not_o many_o cause_n of_o this_o variety_n in_o light_n and_o heat_n etc._n etc._n which_o be_v observe_v in_o divers_a place_n of_o the_o earth_n or_o also_o in_o the_o same_o place_n but_o yet_o in_o a_o different_a time_n or_o season_n proposition_n ii_o how_o be_v the_o season_n of_o the_o year_n spring_n summer_n autumn_n and_o winter_n to_o be_v define_v year_n the_o four_o season_n of_o the_o year_n although_o in_o science_n we_o ought_v not_o to_o contend_v and_o dispute_v concern_v definition_n yet_o because_o certain_a homonyme_n or_o likeness_n do_v here_o occur_v without_o the_o explication_n of_o which_o there_o will_v arise_v much_o confusion_n in_o the_o follow_a doctrine_n therefore_o i_o will_v so_o propose_v this_o question_n that_o you_o may_v the_o more_o cautious_o avoid_v this_o homonyme_n that_o they_o may_v not_o be_v deceive_v and_o entangle_v by_o the_o same_o the_o question_n comprehend_v two_o difficulty_n first_o whether_o these_o season_n ought_v to_o be_v define_v from_o the_o entrance_n of_o the_o sun_n and_o his_o stay_n in_o certain_a sing_v of_o the_o ecliptic_a and_o zodiac_n astrologer_n according_a to_o astronomer_n and_o astrologer_n for_o so_o astronomer_n and_o astrologer_n common_o do_v say_v that_o that_o be_v the_o spring_n whilst_o the_o sun_n move_v from_o the_o first_o degree_n of_o aries_n to_o the_o first_o of_o cancer_n that_o be_v summer_n whilst_o the_o sun_n move_v from_o the_o first_o of_o cancer_n to_o the_o first_o of_o libra_n that_o be_v autumn_n whilst_o the_o sun_n move_v from_o the_o first_o of_o libra_n to_o the_o first_o of_o capricorn_n and_o that_o be_v winter_n whilst_o the_o sun_n move_v from_o the_o first_o of_o capricorn_n to_o the_o first_o degree_n of_o aries_n now_o it_o be_v manifest_a that_o these_o definition_n be_v not_o general_a and_o agreeable_a to_o all_o place_n because_o they_o be_v only_o of_o force_n in_o the_o northern_a place_n situate_v from_o the_o aequator_fw-la towards_o the_o pole_n arctic_a and_o not_o in_o the_o southern_a so_o that_o for_o these_o definition_n the_o same_o person_n bring_v definition_n contrary_a to_o the_o former_a say_v that_o in_o these_o place_n the_o spring_n begin_v from_o the_o first_o degree_n of_o libra_n proceed_v unto_o the_o first_o of_o capricorn_n the_o summer_n from_o the_o first_o of_o capricorn_n to_o the_o first_o of_o aries_n the_o autumn_n from_o the_o first_o of_o aries_n to_o the_o first_o of_o cancer_n and_o the_o winter_n from_o the_o first_o of_o cancer_n to_o the_o first_o of_o libra_n but_o from_o thence_o it_o will_v follow_v that_o those_o season_n can_v possible_o be_v define_v which_o be_v false_a and_o general_n ought_v to_o be_v define_v by_o general_n second_o definition_n so_o make_v can_v have_v place_n in_o the_o place_n of_o the_o torrid_a zone_n
term_v the_o longitude_n of_o the_o twilight_n in_o which_o either_o before_o the_o rise_n of_o the_o sun_n or_o after_o his_o set_n some_o light_n be_v discover_v in_o the_o air._n year_n for_o the_o find_v the_o longitude_n of_o the_o twilight_n by_o the_o globe_n of_o any_o place_n and_o day_n of_o the_o year_n for_o the_o find_n out_o of_o the_o quantity_n of_o this_o time_n we_o must_v suppose_v that_o which_o be_v observe_v by_o astronomer_n as_o we_o have_v say_v in_o the_o nineteenth_o chapter_n that_o the_o morning_n twilight_n begin_v for_o the_o most_o part_n if_o the_o air_n be_v serene_a the_o sun_n draw_v nigh_o to_o the_o eighteen_o degree_n of_o depression_n beneath_o the_o horizon_n and_o the_o evening_n end_v when_o the_o sun_n have_v come_v to_o that_o degree_n of_o depression_n let_v therefore_o the_o pole_n be_v elevate_v for_o the_o latitude_n of_o the_o place_n give_v and_o let_v the_o place_n of_o the_o sun_n in_o the_o ecliptic_a be_v find_v from_o the_o day_n of_o the_o year_n be_v seek_v in_o the_o ecliptic_a of_o the_o globe_n and_o let_v his_o opposite_a point_n be_v note_v then_o let_v the_o quadrant_n be_v apply_v to_o the_o vertex_fw-la and_o the_o point_n note_v be_v find_v to_o the_o horizon_n the_o index_n to_o the_o twelve_o hour_n of_o the_o cycle_n then_o let_v the_o globe_n be_v turn_v round_o until_o the_o note_a point_n be_v elevate_v 18_o degree_n above_o the_o horizon_n which_o be_v know_v by_o the_o help_n of_o the_o quadrant_n for_o so_o shall_v the_o place_n of_o the_o sun_n be_v depress_v so_o many_o degree_n beneath_o the_o horizon_n and_o the_o index_n in_o the_o cycle_n shall_v show_v how_o many_o hour_n or_o part_n of_o a_o hour_n the_o serenity_n of_o the_o air_n be_v lay_v down_o the_o twilight_n continue_v that_o day_n in_o the_o place_n give_v it_o be_v convenient_a by_o three_o example_n to_o learn_v the_o use_n of_o this_o problem_n choose_v a_o place_n for_o one_o of_o the_o torrid_a zone_n another_o of_o the_o temperate_a and_o a_o three_o of_o the_o frigid_a zone_n proposition_n viii_o in_o place_n of_o the_o torrid_a zone_n the_o twilight_n be_v small_a very_o long_o in_o those_o of_o the_o frigid_a and_o moderate_a in_o those_o of_o the_o temperate_a zone_n zone_n of_o the_o difference_n of_o the_o twilight_n in_o the_o several_a zone_n for_o in_o place_n of_o the_o aequator_fw-la and_o those_o near_a the_o crepusculum_fw-la according_a to_o the_o hypothesis_n lay_v down_o in_o the_o former_a proposition_n be_v of_o about_o one_o hour_n which_o yet_o experience_n testify_v be_v only_a half_a a_o hour_n or_o little_o more_o because_o the_o more_o thick_a and_o gross_a air_n be_v not_o so_o high_a there_o as_o be_v require_v to_o make_v the_o twilight_n to_o the_o 18_o degree_n of_o depression_n both_o also_o because_o the_o hypothesis_n of_o the_o 18_o degree_n be_v to_o be_v take_v concern_v very_o small_a light_n with_o which_o the_o twilight_n begin_v such_o as_o yet_o be_v not_o 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be_v under_o the_o 52_o degree_n of_o south_n latitude_n yet_o they_o have_v no_o very_o hot_a summer_n so_o that_o the_o hollander_n in_o the_o month_n of_o january_n when_o there_o shall_v be_v a_o hot_a summer_n find_v a_o great_a glade_n of_o ice_n in_o the_o creek_n of_o one_o of_o their_o sea_n in_o the_o mountain_n of_o the_o adjacent_a coast_n snow_n be_v discover_v all_o the_o summer_n long_o and_o it_o be_v observe_v that_o in_o almost_o all_o the_o region_n of_o the_o south_n temperate_a zone_n they_o have_v a_o cold_a far_o more_a intense_a in_o winter_n and_o a_o violency_n of_o rain_n and_o a_o less_o heat_n in_o summer_n than_o the_o part_n of_o our_o northern_a temperate_a zone_n whether_o this_o be_v the_o cause_n that_o the_o sun_n make_v a_o long_a stay_n and_o the_o slow_a progress_n in_o the_o semicircle_n of_o the_o northern_a zodiac_n than_o in_o the_o southern_a be_v to_o be_v question_v in_o the_o neighbour_a province_n of_o peru_n which_o they_o call_v la_fw-fr valla_n imperial_a in_o the_o province_n of_o potosi_n they_o find_v so_o great_a a_o cold_a that_o for_o four_o mile_n circumference_n there_o grow_v nothing_o chili_n the_o season_n of_o chili_n in_o the_o kingdom_n of_o chili_n which_o extend_v itself_o from_o 30_o degree_n of_o south_n latitude_n to_o 50_o degree_n the_o spring_n begin_v in_o the_o month_n of_o august_n soon_o than_o the_o celestial_a account_n admit_v and_o end_v in_o the_o middle_n of_o november_n and_o from_o the_o middle_n of_o november_n summer_n begin_v even_o to_o the_o middle_n of_o february_n from_o whence_o autumn_n lead_v on_o to_o the_o middle_n of_o may_n which_o the_o winter_n succede_v which_o be_v very_o violent_a and_o dispoil_v the_o tree_n of_o their_o blossom_n and_o scatter_v a_o deep_a snow_n with_o a_o vehement_a frost_n which_o yet_o be_v discover_v by_o the_o sun_n except_o which_o be_v very_o seldom_o that_o the_o sun_n appear_v not_o but_o the_o snow_n rare_o fall_v in_o the_o 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and_o asia_n lie_v under_o the_o same_o climate_n have_v far_o lesser_a winter_n the_o cause_n be_v because_o that_o japan_n consist_v of_o many_o island_n disjoin_v by_o a_o small_a euripus_n and_o that_o it_o also_o lie_v in_o the_o middle_n of_o the_o ocean_n summer_n america_n very_o hot_a in_o the_o summer_n in_o armenia_n and_o the_o adjoin_a place_n there_o be_v great_a heat_n in_o summer_n because_o it_o lie_v among_o mountain_n here_o and_o there_o mix_v with_o field_n hence_o the_o more_o rich_a in_o some_o place_n in_o summer_n remove_v to_o the_o top_n of_o the_o mountain_n and_o remain_v there_o for_o some_o month_n but_o the_o mean_a sort_n in_o the_o day_n time_n defend_v themselves_o in_o the_o mountain_n from_o the_o near_a and_o about_o eventide_n do_v descend_v to_o the_o low_a ground_n proposition_n xiii_o to_o declare_v how_o in_o place_n in_o the_o frigid_a zone_n the_o four_o season_n of_o the_o year_n have_v themselves_o with_o the_o light_n zone_n of_o the_o 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for_o some_o day_n above_o the_o horizon_n before_o the_o centre_n itself_o arise_v by_o reason_n that_o the_o half_a sun_n possess_v 15_o minute_n in_o the_o heaven_n for_o example_n let_v we_o take_v those_o place_n who_o distance_n be_v from_o the_o aequator_fw-la 67_o degree_n towards_o the_o pole_n arctic_a let_v the_o pole_n be_v elevate_v according_a to_o this_o latitude_n and_o in_o the_o meridian_n crena_n of_o the_o horizon_n you_o shall_v see_v that_o the_o degree_n of_o the_o ecliptic_a do_v not_o arise_v from_o the_o 19_o degree_n of_o sagittarius_fw-la to_o the_o 11_o of_o capricorn_n that_o be_v the_o centre_n of_o the_o sun_n be_v in_o that_o arch_n do_v not_o arise_v for_o 24_o day_n viz._n from_o the_o 10_o of_o december_n to_o the_o four_o of_o january_n and_o yet_o part_v of_o the_o skirt_n of_o the_o sun_n for_o that_o whole_a time_n shall_v be_v above_o the_o horizon_n to_o wit_n on_o the_o 21_o of_o december_n the_o limbus_n glitter_v the_o horizon_n but_o on_o 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it_o follow_v also_o that_o they_o enjoy_v the_o light_n of_o the_o crepusculum_fw-la many_o hour_n before_o the_o rise_n and_o after_o the_o set_n of_o the_o sun_n and_o although_o the_o sun_n arise_v not_o yet_o in_o all_o or_o many_o of_o the_o hour_n of_o the_o day_n they_o have_v light_n in_o the_o air._n there_o be_v also_o another_o cause_n 19_o see_v chap._n 19_o which_o make_v the_o sun_n first_o to_o be_v see_v before_o that_o he_o be_v elevate_v above_o the_o horizon_n for_o thence_o it_o come_v to_o pass_v that_o not_o only_o the_o sun_n be_v see_v before_o he_o be_v elevate_v above_o the_o horizon_n and_o before_o the_o ray_n can_v direct_o come_v from_o he_o to_o the_o eye_n but_o also_o that_o the_o light_n of_o the_o twilight_n soon_o illustrate_v
that_o day_n let_v the_o place_n be_v find_v in_o which_o the_o sun_n become_v vertical_a on_o the_o day_n of_o the_o year_n give_v according_a to_o the_o 9th_o proposition_n in_o the_o 24_o chapter_n these_o shall_v be_v the_o place_n seek_v proposition_n viii_o a_o place_n of_o the_o frigid_a zone_n be_v give_v to_o find_v the_o day_n of_o the_o year_n in_o which_o the_o inhabitant_n of_o it_o be_v periscii_n let_v the_o day_n of_o the_o year_n be_v find_v in_o which_o the_o sun_n set_v not_o in_o the_o give_v place_n according_a to_o the_o 10_o proposition_n of_o the_o 24_o chapter_n they_o be_v the_o day_n seek_v proposition_n ix_o the_o day_n of_o the_o year_n be_v give_v to_o find_v out_o the_o place_n of_o the_o frigid_a zone_n the_o inhabitant_n of_o which_o be_v periscii_n that_o day_n so_o that_o this_o day_n be_v the_o first_o day_n let_v those_o place_n of_o the_o frigid_a zone_n be_v find_v in_o which_o the_o sun_n in_o the_o day_n give_v do_v not_o first_o begin_v to_o 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as_o if_o they_o be_v erect_v in_o the_o place_n of_o the_o torrid_a zone_n proposition_n xii_o in_o the_o place_n seat_v in_o the_o aequator_fw-la the_o shadow_n of_o the_o style_n perpendicular_o erect_v in_o the_o whole_a day_n of_o the_o aequinox_n remain_v in_o one_o right_a line_n whether_o before_o noon_n â—t_z be_v continual_o cast_v into_o one_o quarter_n of_o the_o west_n or_o after_o noon_n into_o a_o quarter_n of_o the_o east_n now_o in_o the_o other_o day_n of_o the_o year_n the_o shadow_n be_v carry_v round_o into_o the_o semicircle_n aequator_fw-la of_o place_n seat_v without_o the_o aequator_fw-la in_o place_n situate_v without_o the_o aequator_fw-la in_o the_o torrid_a zone_n whilst_o the_o sun_n be_v move_v in_o part_n of_o the_o ecliptic_a which_o lie_v between_o the_o vertex_fw-la of_o any_o place_n and_o the_o vicine_fw-la tropic_n the_o shadow_n wander_v through_o the_o lesser_a part_n of_o the_o subject_a superficies_n in_o a_o semicircle_n in_o the_o place_n 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the_o line_n leave_v behind_o viz._n once_o before_o noon_n and_o once_o after_o noon_n the_o sun_n also_o in_o these_o day_n will_v seem_v to_o inflect_v his_o course_n zone_n of_o the_o shadow_n of_o the_o sun_n in_o the_o place_n of_o the_o torrid_a zone_n take_v any_o place_n of_o the_o torrid_a zone_n in_o the_o globe_n and_o let_v the_o pole_n be_v elevate_v according_a to_o his_o latitude_n and_o let_v the_o parallel_n of_o the_o place_n be_v describe_v which_o shall_v cut_v the_o ecliptic_a in_o two_o point_n i_o say_v that_o whilst_o the_o sun_n move_v in_o the_o intercept_a arch_n of_o the_o ecliptic_a between_o this_o parallel_n and_o the_o vicine_fw-la tropic_n in_o those_o day_n the_o sun_n will_v seem_v to_o be_v twice_o retrograde_a and_o go_v over_o the_o line_n leave_v behind_o let_v any_o of_o the_o point_n of_o that_o arch_n be_v take_v and_o let_v the_o parallel_n of_o the_o sun_n be_v describe_v viz._n which_o the_o sun_n be_v in_o that_o point_n describe_v by_o diurnal_a circumvolution_n for_o example_n take_v the_o first_o degree_n of_o cancer_n or_o capricorn_n and_o another_o of_o their_o tropic_n for_o so_o there_o will_v be_v no_o need_n of_o the_o description_n of_o a_o parallel_n until_o it_o come_v to_o the_o point_n in_o which_o the_o quadrant_n touch_v the_o parallel_n the_o sun_n be_v in_o this_o seat_n or_o in_o this_o quarter_n will_v seem_v to_o bend_v his_o course_n towards_o the_o vertex_fw-la of_o the_o place_n and_o the_o shadow_n shall_v begin_v to_o be_v retrograde_a from_o the_o line_n of_o the_o aequator_fw-la towards_o the_o meridian_n line_n after_o the_o same_o manner_n if_o that_o you_o apply_v the_o quadrant_n to_o the_o occidental_a part_n of_o the_o parallel_n you_o shall_v see_v in_o that_o point_n in_o which_o the_o quadrant_n touch_v the_o parallel_n that_o the_o sun_n go_v to_o the_o quarter_n he_o have_v leave_v and_o set_v in_o that_o quarter_n in_o which_o some_o hour_n before_o he_o be_v corollary_n therefore_o it_o be_v not_o against_o nature_n that_o the_o shadow_n shall_v go_v back_o on_o sun-dials_n but_o than_o it_o be_v miraculous_a if_o that_o it_o be_v do_v sudden_o in_o a_o note_a space_n also_o if_o it_o repeat_v the_o lineary_a hour_n viz._n if_o that_o the_o style_n be_v not_o perpendicular_a but_o parallel_n to_o the_o mundane_a axletree_n yea_o although_o it_o be_v perpendicular_a yet_o do_v not_o the_o line_n of_o the_o shadow_n itself_o show_v the_o hour_n but_o the_o line_n of_o the_o shadow_n of_o the_o axis_n of_o the_o world_n part_n of_o which_o be_v conceal_v in_o the_o mind_n on_o the_o dial_n if_o that_o it_o be_v want_v proposition_n fourteen_o a_o place_n be_v give_v in_o the_o torrid_a zone_n and_o one_o day_n of_o those_o in_o which_o the_o sun_n seem_v to_o bend_v his_o course_n and_o the_o shadow_n of_o the_o style_n seem_v to_o go_v back_o to_o find_v the_o quarter_n in_o which_o the_o sun_n then_o shall_v be_v and_o the_o hour_n when_o it_o shall_v be_v let_v the_o pole_n be_v elevate_v for_o the_o latitude_n of_o the_o place_n give_v and_o let_v the_o place_n of_o the_o sun_n be_v find_v at_o the_o give_v day_n and_o let_v it_o be_v note_v in_o the_o ecliptic_a and_o let_v the_o parallel_n be_v describe_v with_o chalk_n which_o the_o sun_n be_v in_o that_o point_n describe_v let_v the_o quadrant_n be_v apply_v to_o the_o vertex_fw-la and_o so_o turn_v about_o until_o it_o touch_v the_o describe_v parallel_n so_o the_o extremity_n of_o the_o quadrant_n in_o the_o horizon_n shall_v show_v the_o place_n seek_v for_o now_o that_o the_o hour_n may_v be_v find_v let_v that_o point_n of_o the_o parallel_n be_v note_v in_o which_o the_o contact_n be_v make_v let_v the_o index_n be_v place_v at_o the_o twelve_o
who_o live_v under_o the_o aequator_fw-la those_o who_o live_v under_o the_o very_a aequator_fw-la if_o they_o turn_v their_o face_n towards_o the_o northern_a pole_n they_o then_o have_v the_o east_n on_o their_o right_a hand_n and_o the_o west_n on_o their_o left_a but_o if_o they_o turn_v their_o face_n towards_o the_o southern_a pole_n it_o be_v contrariwise_o those_o who_o live_v in_o the_o northern_a hemisphere_n to_o they_o their_o face_n be_v turn_v to_o the_o aequator_fw-la the_o sun_n go_v in_o the_o northern_a semicircle_n of_o the_o zodiac_n will_v seem_v to_o rise_v and_o set_v behind_o they_o but_o perambulate_v the_o other_o semicircle_n he_o will_v seem_v before_o they_o the_o contrary_n happen_v in_o the_o northern_a hemisphere_n and_o the_o contrary_n will_v also_o be_v observe_v if_o you_o turn_v your_o face_n towards_o the_o pole_n these_o be_v manifest_a from_o the_o consideration_n of_o his_o circumvolution_n and_o may_v be_v illustrate_v on_o the_o globe_n but_o mariner_n and_o other_o unskilful_a of_o the_o celestial_a motion_n be_v wont_a to_o wonder_v at_o it_o when_o they_o sail_v from_o our_o hemisphere_n into_o the_o southern_a hemisphere_n proposition_n iu._n the_o celestial_a affection_n of_o the_o antoeci_n compare_v among_o themselves_o be_v thus_o 1._o they_o have_v the_o same_o meridies_n 1._o see_v propos_fw-fr 1._o the_o same_o midnight_n and_o reckon_v all_o their_o hour_n together_o as_o be_v manifest_a from_o the_o first_o proposition_n of_o this_o chapter_n 2._o they_o have_v contrary_a season_n of_o the_o year_n at_o the_o same_o time_n for_o when_o it_o be_v spring_n in_o one_o place_n it_o be_v autumn_n in_o another_o when_o that_o have_v summer_n this_o have_v winter_n 2._o proposition_n 2._o as_o be_v manifest_a from_o the_o second_o proposition_n of_o this_o chapter_n 3._o the_o day_n of_o one_o place_n be_v equal_a to_o the_o night_n of_o the_o other_o and_o the_o day_n of_o this_o to_o the_o night_n of_o the_o former_a 4._o when_o the_o day_n of_o one_o place_n increase_v to_o the_o long_a day_n in_o the_o mean_a while_o the_o day_n of_o the_o other_o decrease_n even_o to_o the_o short_a for_o they_o have_v opposite_a equal_a day_n in_o their_o calendar_n for_o example_n the_o day_n of_o one_o place_n at_o the_o twenty_o of_o april_n be_v equal_a to_o the_o twenty_o of_o october_n in_o the_o other_o place_n 5._o on_o the_o day_n of_o the_o aequinoctial_a the_o sun_n rise_v and_o set_v together_o to_o they_o but_o on_o other_o day_n soon_o to_o the_o one_o than_o the_o other_o also_o in_o those_o two_o day_n the_o sun_n have_v the_o same_o altitude_n above_o the_o horizon_n of_o the_o antoeci_n at_o every_o moment_n of_o time_n but_o on_o other_o day_n a_o different_a altitude_n 6._o to_o those_o that_o turn_v their_o face_n one_o towards_o another_o or_o those_o who_o regard_v the_o aequator_fw-la to_o one_o the_o sun_n shall_v seem_v to_o rise_v on_o the_o right_a hand_n and_o set_v on_o the_o left_a and_o to_o the_o other_o to_o rise_v and_o set_v contrary_a after_o the_o same_o mode_n all_o the_o star_n shall_v rise_v to_o one_o on_o the_o right_a hand_n and_o to_o the_o other_o on_o the_o left_a 7._o when_o the_o sun_n rise_v and_o set_v behind_o to_o the_o one_o he_o rise_v and_o set_v before_o to_o the_o other_o contrariwise_o to_o this_o on_o the_o left_a hand_n when_o to_o that_o on_o the_o right_n 8._o they_o have_v the_o divers_a pole_n elevate_v by_o a_o equal_a elevation_n 9_o the_o star_n appear_v perpetual_o to_o one_o place_n or_o not_o set_v never_o arise_v to_o the_o other_o place_n but_o always_o remain_v depress_v beneath_o the_o horizon_n contrariwise_o those_o which_o never_o set_v to_o this_o place_n never_o rise_v to_o that_o these_o be_v all_o manifest_a from_o the_o globe_n proposition_n v._o those_o which_o inhabit_v in_o the_o aequator_fw-la have_v no_o antoeci_n but_o the_o perioeci_n of_o those_o be_v the_o same_o with_o the_o antipode_n of_o these_o the_o pole_n of_o the_o earth_n have_v no_o perioeci_n for_o they_o be_v mutual_o one_o to_o the_o other_o antoeci_n and_o antipode_n the_o truth_n of_o this_o proposition_n be_v evident_a from_o the_o definition_n of_o the_o antoeci_n perioeci_n and_o antipode_n and_o therefore_o need_v no_o probation_n proposition_n vi_o a_o place_n be_v give_v in_o the_o globe_n to_o exhibit_v the_o place_n of_o the_o antoeci_n perioeci_n and_o antipode_n of_o the_o same_o let_v the_o place_n be_v bring_v to_o the_o brazen_a meridian_n and_o as_o many_o degree_n as_o be_v intercept_v between_o this_o and_o the_o aequator_fw-la let_v so_o many_o be_v number_v from_o one_o part_n of_o the_o aequator_fw-la the_o term_n of_o the_o numeration_n shall_v be_v the_o place_n of_o the_o antoeci_n then_o let_v the_o index_n be_v apply_v to_o the_o 12_o hour_n of_o the_o cycle_n and_o let_v the_o point_n of_o the_o meridian_n be_v note_v which_o hang_v over_o the_o place_n give_v also_o that_o which_o hang_v over_o the_o place_n of_o the_o antoeci_n this_o be_v do_v let_v the_o globe_n be_v turn_v round_o until_o the_o index_n shall_v show_v the_o other_o 12_o hour_n so_o the_o point_n of_o the_o globe_n which_o be_v subject_v to_o the_o note_a point_n of_o the_o meridian_n of_o the_o place_n give_v shall_v be_v the_o place_n of_o the_o perioeci_n and_o the_o point_n of_o the_o globe_n subject_v to_o the_o other_o note_a point_n of_o the_o meridian_n shall_v be_v the_o place_n of_o the_o antipode_n proposition_n vii_o those_o who_o live_v in_o the_o same_o parallel_n of_o the_o earth_n have_v every_o day_n and_o every_o night_n equal_a every_o one_o of_o the_o star_n also_o remain_v a_o equal_a time_n above_o their_o orison_n the_o same_o star_n never_o set_v the_o same_o star_n never_o rise_v the_o sun_n every_o day_n and_o all_o the_o star_n also_o rise_v and_o set_v to_o they_o in_o the_o same_o quarter_n and_o in_o the_o same_o hour_n also_o the_o star_n be_v equal_o elevavate_v above_o the_o horizon_n or_o depress_v beneath_o it_o they_o have_v the_o same_o pole_n equal_o elevate_v their_o face_n be_v turn_v to_o the_o aequator_fw-la or_o the_o same_o pole_n the_o star_n rise_v to_o they_o from_o the_o same_o side_n and_o set_v on_o the_o same_o side_n they_o have_v the_o same_o season_n of_o the_o year_n spring_n summer_n autumn_n winter_n together_o and_o at_o the_o same_o time_n except_v the_o singular_a property_n of_o some_o place_n these_o be_v manifest_a from_o the_o very_a consideration_n of_o the_o motion_n of_o the_o star_n and_o situation_n of_o the_o place_n of_o the_o earth_n in_o the_o globe_n if_o that_o one_o certain_a parallel_n be_v take_v and_o the_o pole_n be_v elevate_v near_o its_o latitude_n or_o distance_n from_o the_o aequator_fw-la the_o wooden_a horizon_n of_o all_o place_n shall_v be_v the_o horizon_n of_o that_o parallel_n viz._n if_o that_o every_o place_n be_v bring_v to_o the_o meridian_n and_o then_o will_v be_v manifest_a what_o this_o proposition_n contain_v proposition_n viii_o the_o celestial_a affection_n of_o the_o perioeci_n compare_v one_o with_o another_o be_v thus_o together_o the_o celestial_a affection_n of_o the_o perioeci_n compare_v together_o 1._o they_o have_v all_o those_o thing_n common_a which_o we_o have_v relate_v in_o the_o precede_a proposition_n concern_v the_o inhabitant_n of_o one_o and_o the_o same_o parallel_n 2._o they_o reckon_v contrary_a hour_n of_o the_o day_n in_o reality_n but_o yet_o the_o same_o in_o name_n viz._n when_o in_o one_o place_n it_o be_v noon_n and_o the_o 12_o meridian_n hour_n then_o in_o the_o other_o it_o be_v midnight_n and_o the_o 12_o hour_n of_o midnight_n and_o the_o inhabitant_n of_o this_o number_n 1_o 2_o 3_o from_o midnight_n whilst_o they_o number_v 1_o 2_o 3_o from_o midnoon_n 3._o on_o the_o day_n of_o the_o aequinox_n the_o sun_n set_v to_o one_o place_n whilst_o it_o rise_v to_o another_o and_o therefore_o the_o time_n of_o the_o day_n of_o one_o place_n be_v the_o night_n of_o another_o but_o on_o other_o day_n of_o the_o year_n viz._n on_o the_o half_a year_n in_o which_o the_o sun_n run_v through_o the_o vicine_fw-la semicircle_n of_o those_o place_n of_o the_o zodiac_n that_o be_v in_o the_o spring_n and_o summer_n it_o first_o rise_v to_o one_o place_n before_o he_o set_v to_o another_o and_o therefore_o in_o some_o hour_n or_o some_o part_n of_o a_o hour_n they_o have_v both_o the_o day_n and_o the_o night_n conspicuous_a together_o viz._n whilst_o the_o sun_n tend_v towards_o the_o set_n to_o one_o place_n he_o begin_v to_o ascend_v towards_o the_o meridian_n to_o the_o other_o have_v now_o emerge_v above_o the_o horizon_n but_o in_o the_o other_o half_a of_o the_o year_n autumn_n and_o winter_n in_o which_o the_o sun_n run_v the_o
perioeci_n and_o what_o hour_n they_o do_v not_o see_v it_o together_o let_v the_o place_n of_o the_o stay_n of_o the_o sun_n above_o the_o horizon_n of_o the_o place_n give_v be_v find_v at_o the_o day_n give_v and_o let_v the_o time_n of_o his_o stay_n beneath_o the_o horizon_n that_o be_v the_o quantity_n of_o the_o day_n and_o the_o night_n be_v find_v half_o the_o difference_n between_o the_o quantity_n of_o the_o day_n and_o the_o night_n will_v show_v the_o hour_n or_o part_n of_o the_o hour_n in_o which_o the_o sun_n first_o rise_v to_o one_o place_n before_o he_o set_v to_o another_o and_o set_v late_a also_o to_o that_o place_n than_o he_o arise_v to_o this_o chap._n xxix_o of_o the_o computation_n of_o time_n in_o the_o divers_a place_n of_o the_o earth_n proposition_n i._o the_o hour_n of_o one_o place_n be_v give_v in_o the_o globe_n to_o find_v the_o hour_n of_o another_o place_n give_v out_o by_o the_o globe_n the_o hour_n of_o the_o place_n be_v find_v out_o let_v the_o place_n who_o hour_n be_v give_v be_v bring_v to_o the_o brazen_a meridian_n the_o index_n to_o that_o hour_n of_o the_o horary_a cycle_n such_o as_o be_v give_v let_v the_o globe_n be_v turn_v round_o until_o the_o other_o give_v place_n come_v under_o the_o meridian_n the_o index_n in_o that_o situation_n of_o the_o globe_n will_v show_v the_o hour_n demand_v of_o this_o other_o place_n proposition_n ii_o the_o hour_n of_o our_o place_n be_v give_v or_o of_o some_o other_o place_n in_o the_o globe_n to_o exhibit_v on_o the_o globe_n all_o those_o place_n in_o which_o at_o that_o hour_n the_o meridies_n be_v also_o those_o in_o which_o it_o be_v midnight_n also_o those_o in_o which_o be_v what_o hour_n we_o please_v the_o problem_n shall_v be_v propound_v concern_v the_o earth_n if_o we_o will_v act_v scientifical_o for_o it_o be_v a_o affection_n of_o the_o earth_n understand_v the_o same_o concern_v many_o other_o follow_v problem_n let_v the_o place_n give_v be_v bring_v to_o the_o meridian_n the_o index_n to_o the_o give_v hour_n of_o the_o horary_a cycle_n let_v the_o globe_n be_v turn_v round_o until_o the_o index_n show_v the_o 12_o hour_n of_o the_o meridies_n so_o the_o place_n which_o be_v discover_v to_o be_v subject_a to_o the_o superior_a semicircle_n of_o the_o meridian_n from_o the_o elevate_a pole_n to_o the_o pole_n depress_v be_v those_o which_o have_v the_o meridies_n at_o the_o time_n give_v but_o if_o the_o globe_n be_v turn_v round_o that_o the_o index_n may_v show_v the_o 12_o inferior_a hour_n the_o place_n which_o be_v discover_v to_o be_v subject_a to_o the_o same_o semicircle_n of_o the_o meridian_n be_v those_o in_o which_o the_o midnight_n than_o shall_v be_v if_o we_o desire_v place_n in_o which_o be_v any_o hour_n let_v the_o globe_n be_v turn_v until_o the_o index_n show_v that_o hour_n if_o the_o place_n subject_n to_o the_o semicircle_n of_o the_o meridian_n be_v those_o that_o be_v seek_v proposition_n iii_o the_o altitude_n of_o the_o sun_n be_v give_v the_o day_n of_o the_o year_n and_o the_o latitude_n of_o the_o place_n to_o find_v the_o hour_n at_o the_o time_n of_o that_o altitude_n day_n rule_n for_o the_o find_v the_o hour_n of_o the_o day_n let_v the_o pole_n be_v elevate_v for_o the_o give_v latitude_n of_o the_o place_n from_o the_o give_v day_n let_v the_o place_n of_o the_o sun_n be_v find_v in_o the_o ecliptic_a and_o let_v that_o be_v note_v in_o the_o ecliptic_a of_o the_o globe_n and_o bring_v to_o the_o meridian_n then_o let_v the_o quadrant_n be_v apply_v to_o the_o vertex_fw-la and_o let_v the_o degree_n of_o the_o give_v altitude_n be_v note_v in_o it_o and_o let_v the_o index_n be_v place_v at_o the_o 12_o hour_n of_o the_o horary_a cycle_n then_o let_v the_o globe_n and_o the_o quadrant_n be_v move_v until_o the_o note_a place_n of_o the_o sun_n agree_v with_o the_o note_a point_n of_o the_o quadrant_n in_o that_o situation_n the_o sun_n will_v show_v the_o hour_n demand_v proposition_n iu._n a_o quarter_n be_v give_v in_o which_o the_o sun_n be_v behold_v sometime_o of_o the_o day_n give_v and_o the_o latitude_n of_o a_o place_n be_v give_v to_o find_v the_o hour_n of_o the_o day_n compass_n mariner_n observe_v the_o quarter_n of_o the_o sun_n on_o the_o compass_n let_v all_o be_v do_v as_o in_o the_o precede_a proposition_n that_o the_o quadrant_n may_v be_v apply_v to_o the_o vertex_fw-la let_v his_o end_n or_o extremity_n be_v bring_v to_o that_o quarter_n of_o the_o horizon_n which_o be_v observe_v and_o let_v the_o globe_n be_v turn_v round_o until_o that_o point_n of_o the_o sun_n come_v to_o the_o quadrant_n in_o this_o situation_n the_o index_n will_v show_v the_o hour_n of_o the_o day_n proposition_n v._o the_o sun_n shine_v by_o the_o benefit_n of_o the_o globe_n to_o know_v the_o hour_n of_o the_o place_n give_v or_o the_o latitude_n thereof_o which_o be_v give_v let_v the_o pole_n be_v elevate_v for_o the_o give_v latitude_n of_o the_o place_n and_o let_v the_o globe_n be_v place_v at_o the_o four_o quarter_n of_o the_o world_n then_o let_v a_o needle_n be_v fix_v perpendicular_o at_o the_o place_n of_o the_o sun_n in_o the_o ecliptic_a or_o which_o be_v better_o let_v the_o spherical_a gnomon_n be_v apply_v to_o the_o ecliptic_a so_o that_o the_o apex_n of_o the_o gnomon_n fix_v on_o the_o place_n of_o the_o sun_n and_o so_o let_v it_o be_v bring_v to_o the_o meridian_n and_o the_o index_n to_o the_o 12_o hour_n let_v the_o globe_n be_v turn_v until_o the_o needle_n make_v no_o shadow_n on_o the_o globe_n in_o this_o situation_n the_o index_n will_v show_v the_o demand_v hour_n proposition_n vi_o a_o hour_n of_o our_o numeration_n be_v give_v to_o find_v what_o hour_n it_o be_v from_o the_o rise_n of_o the_o sun_n that_o be_v the_o babylonish_n or_o norimbergian_a hour_n in_o time_n past_o the_o babylonian_n and_o now_o the_o inhabitant_n of_o norimberg_n and_o some_o other_o people_n reckon_v 24_o hour_n from_o one_o rise_v of_o the_o sun_n to_o the_o rise_n of_o the_o sun_n the_o next_o day_n let_v the_o pole_n be_v elevate_v from_o the_o latitude_n of_o the_o place_n give_v and_o the_o place_n of_o the_o sun_n be_v find_v from_o the_o day_n give_v let_v it_o be_v bring_v to_o the_o meridian_n the_o index_n to_o the_o 12_o hour_n of_o the_o horary_a cycle_n let_v the_o globe_n be_v turn_v until_o the_o index_n show_v the_o hour_n give_v then_o the_o globe_n remain_v immovable_a let_v the_o index_n be_v reduce_v to_o 12_o which_o be_v do_v let_v the_o globe_n be_v turn_v from_o the_o set_n to_o the_o rise_n until_o the_o place_n of_o the_o sun_n appear_v in_o the_o oriental_a horizon_n and_o in_o the_o horary_a cycle_n let_v the_o hour_n be_v reckon_v from_o 12_o towards_o the_o east_n or_o rise_n even_o to_o the_o index_n for_o these_o be_v the_o babylonish_n or_o norimberg_n hour_n seek_v for_o proposition_n vii_o on_o the_o contrary_a the_o hour_n be_v give_v from_o the_o babylonish_n rise_v to_o find_v out_o the_o hour_n of_o our_o numeration_n which_o be_v from_o midnight_n or_o midnoon_n let_v the_o pole_n be_v elevate_v for_o the_o latitude_n of_o the_o place_n give_v let_v the_o place_n of_o the_o sun_n be_v note_v in_o the_o ecliptic_a and_o bring_v to_o the_o oriental_a horizon_n the_o index_n to_o the_o 12_o hour_n let_v the_o globe_n be_v turn_v towards_o the_o west_n until_o the_o index_n show_v the_o hour_n give_v on_o the_o cycle_n from_o the_o east_n which_o be_v do_v let_v the_o index_n be_v reduce_v to_o the_o 12_o hour_n and_o then_o let_v the_o globe_n again_o be_v move_v until_o the_o place_n of_o the_o sun_n be_v bring_v back_o to_o the_o semicircle_n of_o the_o meridian_n which_o be_v next_o pass_v through_o and_o let_v the_o hour_n be_v number_v from_o 12_o to_o the_o index_n towards_o that_o quarter_n unto_o which_o the_o motion_n of_o the_o globe_n be_v make_v so_o shall_v be_v find_v the_o hour_n of_o our_o number_n from_o the_o meridies_n or_o midnight_n proposition_n viii_o a_o hour_n of_o our_o reckon_a be_v give_v to_o find_v what_o hour_n it_o be_v from_o the_o precede_a set_v of_o the_o sun_n that_o be_v the_o italian_a hour_n hour_n of_o italian_a hour_n at_o this_o day_n in_o many_o place_n of_o italy_n and_o in_o time_n pass_v in_o greece_n they_o number_v 24_o hour_n from_o one_o set_v of_o the_o sun_n to_o the_o follow_v or_o next_o set_v to_o find_v out_o which_o we_o must_v thus_o do_v from_o the_o hour_n of_o our_o numeration_n let_v the_o pole_n be_v elevate_v for_o the_o latitude_n of_o the_o place_n give_v let_v the_o place_n of_o the_o sun_n in_o the_o
ecliptic_a be_v note_v and_o bring_v to_o the_o meridan_n let_v the_o index_n be_v place_v at_o the_o 12_o hour_n at_o noon_n of_o the_o cycle_n let_v the_o globe_n be_v turn_v until_o the_o index_n show_v the_o hour_n give_v then_o the_o globe_n be_v immovable_a let_v the_o index_n be_v bring_v to_o the_o 12_o hour_n and_o this_o be_v do_v let_v the_o globe_n be_v turn_v towards_o the_o east_n until_o the_o place_n of_o the_o sun_n be_v behold_v in_o the_o occidental_a horizon_n then_o let_v the_o hour_n be_v number_v from_o 12_o to_o the_o index_n near_o the_o quarter_n of_o his_o motion_n for_o these_o shall_v be_v the_o italian_a hour_n of_o numeration_n proposition_n ix_o the_o hour_n from_o the_o set_n of_o the_o sun_n or_o of_o italic_a numeration_n be_v give_v to_o find_v what_o hour_n it_o be_v of_o our_o numeration_n from_o the_o midnoon_n or_o midnight_n let_v the_o pole_n be_v elevate_v for_o the_o latitude_n of_o the_o place_n give_v let_v the_o place_n of_o the_o sun_n in_o the_o ecliptic_a be_v note_v and_o bring_v to_o the_o meridian_n let_v the_o index_n be_v place_v at_o the_o hour_n 12_o let_v the_o globe_n be_v turn_v to_o the_o set_n until_o the_o index_n show_v the_o give_v italic_a hour_n then_o the_o globe_n remain_v immovable_a let_v the_o index_n be_v bring_v to_o the_o 12_o hour_n this_o be_v do_v let_v the_o place_n of_o the_o sun_n be_v turn_v back_o to_o that_o semicircle_n of_o the_o meridian_n which_o it_o do_v near_o pass_v through_o so_o the_o hour_n interrupt_v between_o 12_o and_o the_o index_n number_v from_o 12_o towards_o the_o rise_a be_v the_o hour_n from_o the_o meridies_n or_o midnight_n according_a to_o our_o numeration_n or_o reckon_n proposition_n x._o a_o hour_n of_o our_o numeration_n be_v give_v on_o the_o day_n give_v to_o find_v what_o hour_n of_o the_o day_n that_o hour_n be_v according_a to_o the_o ancient_a judaic_a account_n and_o that_o of_o other_o nation_n night_n the_o jew_n division_n of_o the_o day_n and_o night_n in_o ancient_a time_n the_o jew_n and_o other_o nation_n astronomy_n be_v not_o yet_o polish_v divide_v every_o day_n from_o the_o rise_n of_o the_o sun_n to_o his_o set_n into_o 12_o hour_n and_o the_o night_n into_o as_o many_o which_o hour_n be_v therefore_o term_v judaical_a hour_n planetary_a hour_n for_o another_o reason_n but_o more_o fit_o unequal_a hour_n for_o see_v that_o neither_o the_o day_n or_o night_n be_v equal_a among_o themselves_o or_o of_o equal_a longitude_n but_o increase_n for_o half_a a_o year_n 25._o see_v chap._n 25._o and_o decrease_v the_o other_o half_n except_o in_o the_o place_n of_o the_o aequator_fw-la thence_o it_o come_v to_o pass_v that_o those_o hour_n be_v sometime_o great_a and_o sometime_o lesser_a for_o they_o increase_v with_o the_o longitude_n of_o the_o day_n and_o decrease_v with_o the_o decrease_n of_o the_o same_o but_o in_o place_n near_o the_o aequator_fw-la this_o increase_n be_v not_o great_a as_o we_o have_v show_v in_o the_o 25_o chapter_n but_o all_o the_o day_n of_o the_o whole_a year_n be_v almost_o equal_a and_o thence_o it_o come_v to_o pass_v that_o the_o people_n more_o remote_a from_o the_o aequator_fw-la as_o those_o of_o europe_n never_o use_v these_o hour_n but_o only_o those_o people_n who_o be_v not_o far_o remove_v from_o or_o that_o dwell_v under_o the_o torrid_a zone_n therefore_o the_o problem_n may_v be_v thus_o more_o clear_o propound_v viz._n a_o equal_a hour_n be_v give_v in_o a_o give_v day_n to_o find_v a_o unequal_a hour_n a_o equal_a hour_n be_v term_v the_o 12_o part_n of_o any_o day_n or_o night_n or_o of_o the_o time_n in_o which_o the_o sun_n do_v remain_v above_o or_o beneath_o the_o horizon_n a_o unequal_a hour_n be_v term_v the_o 24_o part_n of_o that_o time_n in_o which_o the_o sun_n be_v move_v from_o the_o semicircle_n of_o the_o meridian_n until_o it_o return_v again_o to_o the_o same_o semicircle_n which_o time_n be_v call_v a_o astronomical_a day_n now_o for_o the_o solution_n of_o this_o problem_n we_o must_v thus_o act_v let_v the_o pole_n he_o elevate_v for_o the_o latitude_n of_o the_o place_n give_v let_v the_o place_n of_o the_o sun_n in_o the_o ecliptic_a be_v note_v and_o bring_v to_o the_o east_n the_o index_n to_o the_o 12_o hour_n of_o the_o cycle_n let_v the_o globe_n be_v turn_v until_o the_o note_a place_n of_o the_o sun_n come_v to_o the_o west_n the_o index_n will_v show_v the_o hour_n for_o the_o longitude_n of_o this_o day_n or_o the_o stay_n of_o the_o sun_n above_o the_o horizon_n which_o must_v be_v observe_v then_o set_v it_o be_v find_v what_o be_v the_o hour_n give_v from_o the_o east_n or_o rise_n or_o from_o the_o west_n and_o set_v if_o that_o any_o hour_n be_v give_v after_o the_o set_n of_o the_o sun_n according_a to_o the_o 6_o or_o 8_o proposition_n 8._o see_v proposition_n 6_o and_o 8._o and_o let_v the_o proportion_n be_v compare_v after_o this_o mode_n that_o as_o the_o note_a hour_n of_o the_o longitude_n of_o the_o whole_a day_n or_o night_n be_v unto_o 2_o hour_n so_o the_o hour_n find_v from_o the_o rise_n or_o set_v if_o that_o a_o hour_n of_o the_o night_n be_v give_v be_v to_o the_o number_n of_o the_o judaic_a hour_n proposition_n xi_o the_o judaic_a hour_n be_v give_v in_o the_o day_n give_v to_o find_v what_o hour_n that_o be_v according_a to_o our_o numeration_n or_o account_n or_o to_o reduce_v a_o give_v unequal_a hour_n to_o a_o equal_a hour_n hour_n of_o the_o judaic_a hour_n let_v the_o pole_n be_v elevate_v for_o the_o latitude_n of_o the_o place_n give_v the_o place_n of_o the_o sun_n in_o the_o ecliptic_a from_o the_o day_n give_v be_v find_v let_v it_o be_v bring_v to_o the_o east_n the_o index_n to_o the_o 12_o hour_n and_o let_v the_o globe_n be_v turn_v to_o the_o west_n that_o the_o longitude_n of_o that_o day_n may_v appear_v in_o unequal_a hour_n on_o the_o horary_a cycle_n which_o be_v note_v then_o let_v the_o place_n of_o the_o sun_n be_v bring_v to_o the_o meridian_n the_o index_n unto_o 12_o and_o let_v the_o place_n of_o the_o sun_n be_v turn_v round_o to_o the_o oriental_a honrizon_n the_o index_n will_v show_v the_o hour_n of_o the_o rise_n then_o let_v it_o so_o be_v bring_v to_o pass_v that_o 12_o be_v add_v to_o the_o number_n of_o the_o judaic_a hour_o so_o also_o let_v the_o find_v out_o latitude_n of_o the_o whole_a be_v add_v to_o the_o other_o number_n which_o if_o that_o be_v add_v to_o the_o hour_n of_o the_o rise_n we_o shall_v have_v the_o hour_n from_o the_o midnight_n according_a to_o our_o numeration_n if_o that_o the_o number_n of_o these_o hour_n be_v more_o than_o 12_o let_v 12_o cast_v away_o and_o the_o remainder_n will_v show_v the_o hour_n from_o noon_n those_o judaic_a hour_n which_o be_v relate_v in_o the_o sermon_n of_o christ_n can_v accurate_o be_v reduce_v to_o the_o hour_n of_o our_o account_n because_o the_o day_n of_o the_o year_n be_v not_o add_v so_o that_o the_o three_o hour_n of_o that_o day_n may_v be_v our_o 8_o 9th_o or_o 10_o so_o that_o the_o 11_o hour_n of_o that_o sermon_n may_v be_v our_o seven_o 6_o or_o 5_o viz_o as_o that_o day_n may_v be_v take_v either_o according_a to_o the_o summer_n or_o winter_n solstice_n or_o the_o aequinoctial_a proposition_n xii_o those_o who_o go_v from_o some_o one_o part_n of_o the_o earth_n or_o sail_v towards_o the_o sun_n rise_v and_o the_o whole_a globe_n of_o the_o earth_n be_v encompass_v by_o they_o they_o return_v to_o the_o same_o place_n whence_o they_o set_v forth_o they_o in_o the_o mean_a space_n at_o once_o have_v often_o have_v the_o sun_n rise_v set_v the_o meridies_n and_o the_o midnight_n the_o very_a same_o with_o the_o inhabitant_n of_o the_o place_n from_o which_o they_o go_v from_o and_o therefore_o when_o they_o return_v they_o number_v one_o day_n of_o a_o year_n more_o than_o in_o that_o place_n for_o example_n if_o in_o this_o place_n it_o be_v the_o first_o day_n of_o january_n they_o reckon_v the_o second_o of_o january_n if_o they_o account_v it_o to_o be_v saturday_n they_o reckon_v sunday_n and_o if_o they_o shall_v have_v sail_v about_o the_o earth_n twice_o thrice_o or_o four_o time_n they_o shall_v still_o number_v so_o many_o more_o day_n earth_n of_o the_o compass_n of_o the_o earth_n those_o who_o by_o a_o determine_a course_n sail_v about_o the_o whole_a earth_n towards_o the_o west_n they_o in_o the_o mean_a while_n for_o one_o space_n have_v the_o set_n or_o rise_v sun_n the_o meridies_n and_o midnight_n more_o rare_a and_o therefore_o when_o they_o return_v they_o number_v one_o day_n less_o than_o in_o that_o
or_o heaven_n which_o the_o meridian_n line_n be_v find_v be_v easy_a to_o do_v by_o the_o mariner_n compass_n or_o the_o magnetic_a needle_n the_o globe_n be_v thus_o place_v at_o every_o moment_n of_o the_o day_n when_o the_o sun_n shine_v on_o the_o globe_n may_v be_v see_v the_o part_n of_o the_o earth_n illuminate_v and_o the_o part_n not_o illuminate_v those_o place_n which_o lie_v in_o the_o middle_a semicircle_n of_o the_o part_n illuminate_v be_v those_o which_o will_v have_v the_o meridies_n at_o that_o moment_n of_o time_n to_o those_o which_o be_v seat_v in_o the_o oriental_a semicircle_n divide_v the_o illuminate_v part_n from_o the_o part_n not_o illuminate_v the_o sun_n set_v but_o to_o those_o which_o be_v in_o the_o occidental_a semicircle_n separate_v the_o illuminate_v part_n from_o the_o part_n not_o illuminate_v the_o sun_n rise_v to_o find_v out_o the_o place_n of_o the_o sun_n in_o the_o ecliptic_a let_v the_o needle_n or_o spherical_a gromon_n be_v move_v hither_o and_o thither_o perpendicular_o about_o the_o middle_n of_o the_o part_n illuminate_v until_o it_o make_v no_o shadow_n and_o let_v the_o point_n in_o the_o globe_n be_v note_v 〈◊〉_d for_o this_o be_v bring_v to_o the_o meridian_n here_o will_v show_v the_o declination_n of_o the_o ecliptic_a point_n in_o which_o the_o sun_n be_v at_o the_o time_n of_o the_o observation_n whence_o according_a to_o the_o condition_n of_o the_o time_n to_o wit_n spring_n summer_n autumn_n or_o winter_n the_o place_n of_o the_o sun_n shall_v be_v know_v and_o thence_o the_o day_n of_o the_o year_n also_o the_o place_n in_o the_o globe_n unto_o which_o the_o needle_n be_v affix_v give_v no_o shadow_n be_v that_o to_o which_o the_o sun_n be_v vertical_a at_o that_o moment_n of_o time_n and_o the_o parallel_n pass_v through_o this_o place_n will_v exhibit_v all_o the_o place_n in_o which_o the_o sun_n will_v be_v vertical_a on_o that_o day_n moreover_o to_o find_v the_o hour_n of_o the_o place_n in_o which_o the_o globe_n be_v so_o place_v or_o hang_v let_v that_o place_n be_v bring_v to_o the_o meridian_n to_o which_o the_o sun_n be_v vertical_a the_o index_n to_o the_o 12_o hour_n of_o the_o horary_a circle_n and_o let_v the_o globe_n be_v turn_v round_o until_o our_o place_n or_o that_o in_o which_o the_o globe_n be_v seat_v do_v come_v to_o the_o meridian_n the_o index_n will_v show_v the_o hour_n but_o because_o the_o globe_n can_v be_v turn_v round_o when_o it_o be_v affix_v by_o the_o iron_n style_n to_o the_o horizontal_n plain_a therefore_o it_o will_v be_v convenient_a that_o the_o quadrant_n be_v tie_v to_o the_o pole_n or_o part_n of_o the_o circle_n of_o the_o periphery_n 113_o â—_o â—_o for_o here_o the_o arch_n be_v bring_v to_o the_o place_n of_o the_o needle_n will_v show_v the_o declination_n of_o the_o sun_n from_o the_o aequator_fw-la whence_o the_o place_n of_o the_o sun_n and_o the_o day_n of_o the_o year_n shall_v be_v find_v the_o same_o arch_n will_v show_v the_o degree_n in_o the_o aequator_fw-la from_o whence_o if_o that_o the_o degree_n be_v number_v to_o the_o brazen_a meridian_n and_o these_o degree_n be_v change_v into_o hour_n or_o part_n of_o hour_n hour_n fifteen_o degree_n make_v a_o hour_n you_o shall_v have_v the_o hour_n of_o the_o place_n if_o so_o be_v that_o the_o sun_n be_v between_o the_o occident_n and_o the_o brazen_a meridian_n that_o be_v of_o our_o place_n but_o if_o that_o it_o be_v between_o the_o east_n and_o our_o meridian_n the_o hour_n find_v out_o must_v be_v subtract_v from_o 12_o and_o the_o remain_a number_n will_v show_v the_o hour_n from_o midnight_n if_o that_o such_o a_o brazen_a arch_n be_v adjoin_v to_o the_o pole_n of_o the_o globe_n as_o i_o have_v describe_v 113_o ½_n degree_n it_o may_v be_v bore_v through_o from_o the_o end_n even_o to_o 47_o degree_n that_o be_v from_o the_o departure_n of_o the_o sun_n from_o the_o aequator_fw-la and_o a_o turn_a plate_n be_v insert_v in_o it_o which_o may_v bear_v the_o perpendicular_a style_n and_o so_o there_o will_v neither_o be_v need_n of_o a_o needle_n or_o of_o a_o spherical_a gnomon_n and_o the_o operation_n will_v be_v less_o obnoxious_a to_o error_n proposition_n ii_o the_o terrestrial_a globe_n be_v â—o_o place_v as_o in_o the_o former_a proposition_n be_v declare_v it_o will_v also_o show_v when_o the_o moon_n shine_v to_o what_o people_n at_o any_o moment_n of_o time_n in_o which_o it_o be_v above_o our_o horizon_n it_o be_v conspicuous_a to_o who_o it_o arise_v to_o who_o it_o set_v and_o to_o who_o it_o be_v vertical_a these_o be_v all_o manifest_a from_o the_o precede_a proposition_n 1._o see_v proposit_n 1._o proposition_n iii_o by_o how_o much_o the_o place_n of_o the_o earth_n be_v remote_a from_o the_o parallel_n of_o the_o sun_n on_o any_o day_n by_o so_o much_o the_o sun_n be_v elevate_v to_o a_o lesser_a altitude_n in_o the_o same_o hour_n above_o their_o horizon_n let_v the_o place_n in_o the_o same_o meridian_n be_v take_v in_o the_o globe_n for_o these_o do_v reckon_v all_o the_o same_o hour_n and_o that_o at_o once_o then_o let_v a_o parallel_n be_v describe_v for_o any_o assume_v day_n and_o it_o will_v be_v manifest_a that_o any_o point_n of_o this_o parallel_n be_v far_a distant_a from_o the_o more_o remote_a place_n than_o from_o the_o place_n more_o near_o the_o sun_n therefore_o be_v above_o the_o point_n of_o this_o parallel_n will_v be_v far_a distant_a from_o the_o vertex_fw-la of_o the_o remote_a place_n than_o from_o the_o vertex_fw-la of_o those_o that_o be_v near_o and_o therefore_o he_o shall_v be_v less_o elevate_v over_o the_o horizon_n of_o those_o place_n than_o of_o these_o proposition_n iv_o by_o how_o much_o the_o place_n of_o the_o earth_n be_v more_o remote_a from_o the_o aequator_fw-la or_o more_o near_o the_o pole_n by_o so_o much_o the_o more_o the_o part_n of_o the_o horizon_n be_v distant_a in_o which_o the_o sun_n rise_v on_o the_o day_n of_o the_o solstice_n and_o the_o day_n of_o the_o winter_n as_o also_o those_o in_o which_o he_o set_v the_o same_o be_v true_a concern_v the_o moon_n and_o all_o the_o planet_n take_v what_o place_n you_o please_v of_o a_o diverse_a distance_n from_o the_o aequator_fw-la and_o let_v the_o pole_n be_v elevate_v for_o the_o latitude_n of_o every_o one_o of_o they_o and_o let_v the_o point_n be_v note_v in_o the_o horizon_n in_o which_o the_o tropic_n of_o capricorn_n and_o cancer_n cut_v it_o a_o comparison_n be_v make_v the_o truth_n of_o the_o proposition_n will_v appear_v this_o be_v also_o show_v the_o same_o way_n by_o how_o much_o the_o place_n be_v more_o remote_a from_o the_o aequator_fw-la by_o so_o much_o the_o more_o the_o sun_n in_o his_o aequinoctial_a rise_n be_v distant_a in_o the_o east_n on_o every_o day_n of_o the_o year_n the_o astronomer_n term_v it_o the_o rise_a amplitude_n proposition_n v._o star_n place_v between_o the_o parallel_n of_o any_o place_n lie_v without_o the_o 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the_o meridian_n and_o so_o descend_v again_o but_o in_o place_n situate_v above_o the_o aequator_fw-la they_o oblique_o ascend_v and_o descend_v and_o so_o much_o the_o more_o oblique_o by_o how_o much_o the_o place_n be_v more_o remote_a from_o the_o aequator_fw-la star_n of_o the_o ascension_n and_o descension_n of_o the_o sun_n and_o star_n let_v any_o parallel_n of_o the_o sun_n be_v describe_v on_o the_o globe_n such_o as_o some_o already_o be_v delineate_v on_o the_o globe_n viz._n the_o aequator_fw-la the_o tropic_n and_o some_o intermedial_a one_o then_o let_v the_o pole_n be_v place_v in_o the_o very_a horizon_n that_o it_o may_v be_v the_o horizon_n of_o the_o place_n of_o the_o aequator_fw-la and_o it_o will_v be_v evident_a that_o the_o point_n of_o the_o
parallel_n direct_o ascend_v from_o the_o horizon_n to_o the_o meridian_n then_o let_v the_o pole_n be_v elevate_v for_o the_o latitude_n of_o any_o other_o place_n and_o it_o will_v appear_v that_o the_o parallel_n be_v so_o much_o the_o more_o oblique_a to_o the_o horizon_n by_o how_o much_o the_o more_o the_o pole_n be_v elevate_v that_o be_v by_o the_o wooden_a horizon_n become_v the_o horizon_n of_o the_o place_n more_o remote_a from_o the_o aequator_fw-la or_o near_o to_o the_o pole_n proposition_n vii_o by_o how_o much_o the_o place_n be_v more_o remote_a from_o the_o aequator_fw-la by_o so_o much_o the_o more_o the_o sign_n of_o the_o zodiac_n and_o the_o other_o constellation_n require_v the_o great_a time_n to_o arise_v and_o set_v and_o they_o pass_v through_o the_o meridian_n of_o all_o place_n at_o a_o equal_a time_n let_v two_o place_n be_v take_v on_o the_o globe_n unequal_o distant_a from_o the_o aequator_fw-la and_o let_v the_o pole_n be_v elevate_v and_o observe_v 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according_a to_o art_n for_o these_o affection_n belong_v unto_o it_o but_o they_o be_v propound_v concern_v the_o globe_n because_o here_o it_o represent_v the_o earth_n although_o another_o method_n must_v be_v use_v in_o the_o earth_n or_o another_o construction_n which_o although_o it_o can_v only_o be_v comprehend_v by_o the_o mind_n be_v sufficient_a that_o it_o may_v hinder_v in_o the_o practice_n by_o reason_n of_o the_o obstacle_n this_o be_v the_o same_o with_o that_o problem_n the_o day_n and_o the_o quarter_n be_v give_v in_o which_o the_o rise_n of_o the_o sun_n be_v observe_v to_o find_v the_o latitude_n of_o that_o place_n or_o its_o parallel_n in_o any_o point_n of_o which_o it_o be_v manifest_a that_o we_o be_v place_v 11._o see_v chap._n 23._o proposit_n 11._o the_o solution_n of_o which_o we_o have_v deliver_v in_o the_o 23_o chapter_n proposition_n 11._o proposition_n ix_o the_o day_n and_o the_o hour_n or_o part_n of_o the_o hour_n be_v give_v to_o show_v the_o 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the_o give_v degree_n must_v not_o exceed_v a_o hundred_o and_o eighty_o or_o the_o day_n and_o the_o hour_n be_v give_v to_o show_v on_o the_o globe_n those_o place_n above_o who_o horizon_n the_o sun_n have_v the_o give_v altitude_n or_o the_o give_v depression_n beneath_o it_o but_o the_o altitude_n give_v must_v not_o exceed_v 90_o degree_n as_o likewise_o the_o depression_n let_v the_o place_n be_v find_v on_o the_o globe_n to_o which_o the_o sun_n be_v vertical_a at_o the_o hour_n give_v and_o let_v this_o be_v bring_v to_o the_o meridian_n and_o let_v the_o quadrant_n be_v affix_v to_o the_o imminent_a point_n of_o the_o meridian_n let_v the_o degree_n of_o distance_n from_o the_o vertex_fw-la give_fw-mi be_v note_v and_o the_o quadrant_n be_v turn_v round_o the_o globe_n remain_v immovable_a all_o the_o place_n of_o the_o earth_n through_o which_o the_o note_a degree_n of_o the_o quadrant_n pass_v be_v those_o from_o who_o the_o sun_n have_v the_o give_v distance_n or_o above_o who_o horizon_n the_o sun_n have_v the_o give_v altitude_n proposition_n xi_o at_o the_o give_v hour_n of_o the_o day_n to_o show_v on_o the_o globe_n all_o plain_n unto_o which_o the_o sun_n rise_v and_o set_v and_o to_o which_o he_o be_v fix_v at_o the_o meridian_n and_o all_o that_o be_v illuminate_v and_o not_o illuminate_v day_n further_o concern_v the_o rise_n and_o set_v of_o the_o sun_n find_v out_o by_o the_o globe_n at_o any_o day_n or_o hour_n of_o the_o day_n let_v the_o place_n be_v find_v in_o the_o globe_n to_o which_o the_o sun_n at_o the_o time_n give_v be_v vertical_a and_o let_v the_o place_n be_v bring_v to_o the_o meridian_n and_o the_o pole_n elevate_v for_o the_o latitude_n of_o that_o place_n or_o let_v that_o place_n be_v place_v in_o the_o vertex_fw-la of_o the_o horizon_n so_o all_o those_o place_n which_o be_v discover_v under_o the_o semicircle_n of_o the_o meridian_n above_o the_o horizon_n shall_v have_v the_o meridies_n but_o those_o place_n which_o be_v behold_v in_o the_o oriental_a semicircle_n of_o the_o horizon_n be_v those_o to_o which_o the_o sun_n than_o set_v but_o to_o those_o which_o lie_v in_o the_o occidental_a semicircle_n of_o the_o horizon_n the_o sun_n rise_v at_o the_o give_v time_n and_o all_o the_o place_n which_o be_v above_o the_o horizon_n be_v illuminate_v by_o the_o sun_n on_o the_o contrary_a all_o the_o place_n situate_v beneath_o the_o same_o then_o want_v the_o presence_n of_o the_o sun_n note_v that_o the_o problem_n must_v be_v understand_v of_o the_o rise_n and_o set_v of_o the_o body_n of_o the_o centre_n of_o the_o sun_n for_o the_o body_n of_o the_o sun_n illustrate_v part_n of_o the_o earth_n somewhat_o big_a than_o the_o hemisphere_n which_o how_o big_a it_o be_v shall_v be_v discover_v in_o the_o follow_a proposition_n therefore_o we_o may_v show_v the_o place_n to_o which_o the_o sun_n rise_v or_o set_v when_o we_o have_v noon_n or_o midnight_n and_o contrariwise_o those_o in_o which_o he_o set_v when_o he_o arise_v to_o we_o who_o then_o have_v midnight_n or_o midday_n proposition_n xii_o the_o semidiameter_n of_o the_o sun_n and_o earth_n be_v give_v and_o the_o distance_n of_o the_o sun_n from_o the_o earth_n be_v know_v to_o find_v out_o the_o part_n of_o the_o earth_n which_o the_o sun_n illuminate_v scheme_n see_v scheme_n let_v the_o semidiameter_n of_o the_o earth_n be_v a_o b_o a_o c_o a_o the_o centre_n a_o b_o c_o d_o e_o the_o great_a circle_n of_o the_o earth_n s_n the_o centre_n of_o the_o sun_n s_o l_o s_o o_o the_o semidiameter_n of_o the_o sun_n l_o b_o o_o c_o the_o ray_n touch_v the_o globe_n of_o the_o sun_n and_o earth_n for_o these_o distinguish_v the_o part_n illuminate_v from_o the_o part_n not_o illuminate_v therefore_o the_o arch_n b_o d_o c_o represent_v the_o part_n of_o the_o superficies_n of_o the_o earth_n illuminate_v and_o the_o arch_n blc_n the_o part_n not_o illuminate_v let_v the_o tangent_n lb_n o_o c_o be_v extend_v until_o they_o concur_v in_o r_n and_z b_o n_n parallel_v to_o a_o s_n therefore_o in_o the_o triangle_n b_o n_o l_o let_v n_n l_o be_v give_v the_o excess_n s_o l_o above_o a_o b_o and_z b_o n_z of_o equal_a distance_n to_o a_o s_n the_o angle_n b_o n_o l_o be_v direct_a because_o that_o b_o l_o touch_v the_o circle_n wherefore_o in_o the_o triangle_n b_o l_o n_o let_v the_o angle_n n_o b_o l_o be_v find_v according_a to_o this_o proposition_n that_o as_o b_o n_n be_v to_o n_n l_o so_fw-mi be_v the_o whole_a sign_n to_o the_o tangent_fw-la of_o the_o angle_n n_o b_o l._n moreover_n the_o two_o angle_n l_o n_n b_o n_o b_o l_o be_v together_o equal_a to_o one_o straight_o or_o 90_o
degree_n and_o b_o n_o l_o be_v equal_a to_o the_o angle_n a_o s_o l_o or_o b_o a_o r._n therefore_o the_o arch_n of_o the_o angle_n n_o b_o l_o be_v equal_a to_o the_o arch_n b_o m_o by_o which_o p_o b_o be_v great_a than_o 90_o degree_n or_o than_o p_o m_o so_o also_o the_o arch_n p_o c._n if_o we_o take_v the_o semidiameter_n of_o the_o sun_n according_a unto_o ptolemy_n of_o 5_o 2_o semidiameter_n of_o the_o earth_n but_o the_o distance_n a_o s_o 1168_o semidiameter_n these_o i_o say_v be_v lay_v down_o the_o arch_n m_o b_o will_v be_v find_v 13_o minute_n in_o which_o the_o sun_n illustrate_v the_o earth_n more_o than_o half_a m_o p_o q._n corollary_n when_o therefore_o the_o centre_n of_o the_o sun_n rise_v to_o some_o place_n than_o his_o limbus_n or_o edge_n rise_v to_o the_o people_n which_o inhabit_v in_o the_o parallel_n of_o the_o horizon_n situate_v 13_o minute_n beneath_o the_o horizon_n also_o after_o the_o same_o mode_n to_o those_o to_o who_o he_o set_v and_o when_o his_o centre_n set_v than_o his_o limbus_n yet_o remain_v conspicuous_a until_o the_o centre_n set_v to_o the_o people_n which_o be_v remote_a 13_o minute_n from_o our_o horizon_n proposition_n xiii_o the_o height_n of_o a_o mountain_n be_v give_v to_o find_v how_o much_o soon_o the_o sun_n seem_v to_o rise_v in_o the_o vertex_fw-la of_o the_o same_o than_o at_o the_o foot_n or_o root_n of_o the_o mountain_n and_o how_o much_o late_a it_o set_v from_o the_o give_a altitude_n 5._o see_v chap._n 9_o proposit_n 5._o by_o the_o five_o proposition_n in_o the_o nine_o chapter_n let_v the_o interval_n or_o arch_n from_o which_o the_o vertex_fw-la of_o the_o mountain_n may_v be_v discover_v or_o in_o the_o bind_v of_o which_o a_o line_n so_o draw_v from_o the_o vertex_fw-la of_o the_o mountain_n that_o it_o may_v be_v the_o tangent_fw-la of_o the_o earth_n refract_v the_o same_o for_o this_o line_n show_v the_o first_o ray_n which_o may_v come_v from_o a_o direct_a passage_n from_o the_o sun_n to_o the_o vertex_fw-la of_o the_o mountain_n moreover_o the_o point_n of_o the_o earth_n in_o which_o this_o be_v touch_v by_o the_o line_n be_v the_o place_n to_o which_o the_o sun_n arise_v when_o he_o begin_v to_o be_v see_v on_o the_o vertex_fw-la of_o the_o mountain_n and_o the_o arch_n interrupt_v between_o that_o point_n and_o the_o foot_n of_o the_o mountain_n be_v equal_a to_o that_o in_o which_o the_o sun_n be_v depress_v as_o yet_o beneath_o the_o horizon_n of_o the_o foot_n of_o the_o mountain_n when_o he_o be_v apparent_a in_o the_o vertex_fw-la therefore_o the_o problem_n be_v reduce_v hither_o the_o depression_n of_o the_o sun_n beneath_o the_o horizon_n be_v give_v to_o find_v the_o time_n which_o be_v spend_v whilst_o the_o sun_n move_v from_o the_o depression_n to_o the_o horizon_n whence_o also_o it_o will_v be_v manifest_a that_o this_o time_n be_v also_o diverse_a in_o the_o divers_a day_n of_o the_o year_n therefore_o let_v the_o place_n of_o the_o root_n of_o the_o mountain_n be_v note_v on_o the_o globe_n and_o let_v the_o pole_n be_v clevate_v for_o the_o latitude_n of_o the_o same_o let_v the_o quadrant_n be_v affix_v to_o the_o vertex_fw-la the_o place_n of_o the_o sun_n be_v find_v in_o the_o ecliptic_a from_o any_o day_n take_v let_v it_o be_v note_v also_o the_o point_n of_o the_o ecliptic_a opposite_a to_o the_o place_n of_o the_o sun_n then_o let_v this_o opposite_a point_n be_v bring_v to_o the_o occidental_a horizon_n and_o let_v the_o index_n be_v place_v at_o the_o hour_n 12._o this_o be_v do_v let_v the_o degree_n of_o depression_n before_o find_v be_v note_v in_o the_o quadrant_n and_o the_o opposite_a point_n be_v turn_v above_o the_o horizon_n until_o it_o have_v a_o altitude_n equal_a to_o the_o arch_n of_o the_o depression_n which_o will_v be_v discover_v from_o the_o application_n of_o the_o quadrant_n so_o the_o place_n of_o the_o sun_n beneath_o the_o oriental_a horizon_n will_v have_v that_o depression_n and_o the_o index_n in_o the_o horaty_a circle_n will_v show_v the_o time_n intercopt_v between_o that_o depression_n of_o he_o and_o his_o emersion_n above_o the_o horizon_n but_o because_o in_o this_o case_n we_o do_v almost_o work_v only_o by_o minute_n therefore_o it_o be_v better_a to_o calculate_v it_o than_o to_o search_v after_o it_o on_o the_o globe_n now_o you_o shall_v find_v it_o if_o that_o the_o altitude_n of_o the_o mountain_n be_v place_v 3_o stadias_fw-la or_o ¾_n of_o a_o german_a mile_n because_o the_o arch_n of_o the_o depression_n be_v about_o three_o degree_n night_n the_o mountain_n of_o caucasus_n and_o casius_n according_a to_o aristotle_n and_o pliny_n be_v illustrate_v with_o the_o sun_n ray_n to_o the_o three_o part_n of_o the_o night_n and_o if_o the_o latitude_n of_o the_o foot_n of_o the_o mountain_n be_v 38_o degree_n and_o the_o place_n of_o the_o sun_n about_o the_o middle_n of_o leo_n the_o time_n in_o which_o the_o sun_n be_v behold_v be_v soon_o in_o the_o vertex_fw-la than_o at_o the_o foot_n of_o the_o mountain_n by_o 13_o minute_n hence_o it_o be_v manifest_a that_o that_o be_v not_o so_o probable_a which_o aristotle_n relate_v of_o the_o high_a part_n of_o caucasus_n and_o pliny_n of_o the_o top_n of_o mount_n casius_n that_o they_o before_o the_o rise_n and_o after_o the_o set_n of_o the_o sun_n be_v illustrate_v with_o the_o sun_n beam_n even_o to_o the_o three_o part_n of_o the_o night_n now_o how_o great_a a_o altitude_n be_v require_v for_o this_o shall_v be_v show_v in_o the_o follow_a proposition_n proposition_n fourteen_o the_o time_n be_v give_v in_o which_o the_o sun_n be_v soon_o discern_v on_o the_o vertex_fw-la of_o the_o mountain_n than_o at_o the_o foot_n of_o the_o same_o to_o find_v the_o altitude_n of_o the_o mountain_n let_v the_o pole_n be_v elevate_v on_o the_o globe_n for_o the_o latitude_n of_o the_o root_n of_o the_o mountain_n and_o the_o point_n be_v note_v which_o be_v oppose_v to_o the_o place_n of_o the_o sun_n in_o the_o ecliptic_a let_v the_o arch_n of_o the_o depression_n of_o the_o sun_n beneath_o the_o horizon_n for_o the_o give_v time_n be_v find_v then_o from_o this_o arch_n as_o from_o a_o interval_n from_o whence_o the_o vertex_fw-la of_o the_o mountain_n be_v discover_v the_o altitude_n of_o the_o mountain_n must_v be_v search_v after_o by_o the_o four_o proposition_n of_o the_o nine_o chapter_n proposition_n xv._o the_o place_n of_o the_o moon_n be_v give_v in_o the_o zodiac_n together_o with_o its_o latitude_n to_o find_v out_o or_o show_v all_o those_o place_n on_o the_o globe_n to_o which_o the_o moon_n be_v vertical_a in_o the_o circumrotation_n of_o that_o day_n let_v the_o place_n of_o the_o moon_n take_v from_o the_o ephemerides_n be_v note_v in_o the_o ecliptic_a then_o let_v one_o end_n of_o the_o quadrant_n be_v apply_v to_o the_o pole_n of_o the_o ecliptic_a the_o other_o to_o the_o point_v note_v in_o the_o ecliptic_a or_o to_o the_o place_n of_o the_o moon_n 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not_o appear_v every_o night_n for_o it_o be_v know_v concern_v the_o moon_n as_o also_o with_o the_o attendant_n of_o jupiter_n that_o they_o rise_v and_o set_v with_o the_o sun_n near_o to_o jupiter_n and_o moreover_o that_o they_o have_v a_o great_a difficulty_n of_o observe_v in_o the_o ship_n join_v or_o accompany_v with_o the_o flow_n of_o wave_n for_o this_o reason_n many_o leave_v the_o appearance_n of_o the_o moon_n and_o the_o attendance_n of_o jupiter_n fly_v to_o the_o automatical_a horologe_n and_o advise_v the_o mechanical_a artificer_n so_o to_o endeavour_v to_o prepare_v a_o machine_n or_o horologe_n as_o may_v be_v subject_a to_o no_o error_n so_o that_o it_o may_v show_v 24_o hour_n at_o the_o same_o time_n in_o which_o the_o sun_n may_v be_v circumvolve_v and_o may_v make_v one_o day_n or_o 24_o hour_n and_o may_v neither_o anticipate_v or_o postdate_v the_o time_n place_n a_o move_a dial_n very_o useful_a for_o the_o find_v the_o longitude_n of_o place_n if_o that_o 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this_o place_n or_o meridian_n may_v be_v find_v out_o from_o the_o hour_n of_o the_o automaton_n compare_v with_o the_o hour_n of_o the_o place_n unto_o which_o we_o be_v come_v and_o the_o hour_n of_o the_o automaton_n do_v not_o altogether_o exact_o agree_v with_o the_o hour_n of_o the_o place_n whence_o we_o set_v sail_n thence_o it_o will_v come_v to_o pass_v that_o a_o defective_a longitude_n may_v be_v take_v and_o a_o false_a meridian_n note_v in_o the_o map_n for_o the_o place_n of_o the_o ship_n that_o day_n in_o the_o follow_a day_n viz._n on_o the_o three_o day_n a_o false_a longitude_n shall_v again_o be_v find_v and_o that_o be_v number_v from_o the_o false_a meridian_n of_o the_o precede_a day_n shall_v duplicate_v the_o error_n on_o the_o four_o day_n again_o it_o shall_v be_v augment_v and_o the_o defect_n shall_v be_v triplicate_v on_o the_o five_o day_n it_o shall_v be_v four_o time_n worse_o and_o so_o on_o for_o example_n if_o that_o a_o horologe_n in_o the_o space_n of_o 24_o hour_n prove_v defective_a in_o the_o celestial_a motion_n and_o revolution_n for_o the_o 15_o part_n of_o a_o hour_n which_o perfection_n our_o artificer_n do_v seldom_o exceed_v the_o longitude_n find_v from_o it_o shall_v be_v great_a or_o lesser_a than_o a_o whole_a degree_n for_o 1_o 13_o of_o a_o hour_n make_v a_o degree_n and_o so_o a_o false_a meridian_n of_o this_o day_n shall_v be_v note_v in_o the_o map_n which_o be_v distant_a from_o the_o true_a a_o degree_n or_o 15_o mile_n and_o on_o the_o three_o day_n by_o reason_n that_o the_o automaton_n err_v again_o the_o 15_o part_n of_o a_o hour_n here_o again_o will_v be_v the_o defect_n of_o one_o degree_n of_o longitude_n and_o see_v that_o the_o note_a meridian_n of_o the_o former_a day_n be_v also_o absent_a one_o degree_n from_o the_o meridian_n which_o be_v true_a and_o from_o thence_o the_o numeration_n be_v make_v for_o the_o meridian_n of_o the_o three_o day_n here_o now_o will_v be_v a_o meridian_n 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night_n the_o most_o remarkable_a star_n at_o both_o time_n it_o be_v best_o to_o expect_v the_o time_n in_o which_o the_o sun_n or_o star_n be_v in_o the_o meridian_n and_o for_o the_o know_v the_o hour_n and_o horary_a scruple_n of_o the_o other_o remain_v part_n of_o time_n a_o most_o exact_a automaton_n must_v be_v use_v for_o a_o automaton_n will_v little_o err_v above_o the_o space_n of_o half_a a_o day_n if_o it_o be_v exact_o make_v and_o so_o we_o shall_v have_v no_o need_n of_o the_o elevation_n of_o the_o pole_n in_o this_o case_n which_o yet_o we_o ought_v to_o know_v by_o reason_n of_o the_o parallel_n concern_v the_o day_n therefore_o the_o sun_n be_v bring_v into_o the_o meridian_n we_o know_v the_o 12_o hour_n to_o be_v in_o the_o place_n and_o therefore_o the_o automaton_n must_v be_v place_v at_o this_o very_a moment_n of_o time_n to_o show_v the_o hour_n of_o the_o follow_a time_n but_o if_o the_o phoenomenon_n must_v be_v observe_v before_o the_o meridies_n let_v 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wast-ground_n it_o be_v water_v by_o the_o river_n scheld_v and_o ley_n which_o run_v through_o the_o city_n and_o make_v 26_o island_n which_o be_v conjoin_v by_o 98_o bridge_n this_o place_n be_v particular_o famous_a for_o be_v the_o birth-place_n of_o john_n of_o gaunt_n duke_n of_o lancaster_n 2._o bruges_n seat_v on_o a_o large_a and_o deep_a channel_n of_o the_o sea_n from_o which_o it_o be_v distant_a about_o three_o league_n once_o a_o famous_a mart_n town_n but_o now_o of_o small_a account_n as_o to_o matter_n of_o traffic_n 3._o ipres_fw-fr seat_v on_o a_o river_n so_o call_v a_o town_n of_o great_a strength_n 4._o gravel_v or_o gravelines_n feat_v on_o the_o seashore_n a_o place_n of_o good_a strength_n and_o 5._o lisle_n of_o some_o account_n the_o four_o principal_a port_n in_o flanders_n be_v 1._o dunkirk_n now_o in_o the_o possession_n of_o the_o french_a a_o place_n of_o good_a strength_n especial_o of_o late_a when_o the_o english_a be_v master_n of_o it_o nigh_o to_o 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this_o work_n dassipodius_fw-la and_o wolkinstenius_fw-la describe_v yea_o better_o than_o in_o the_o true_a heaven_n because_o here_o the_o sun_n darkness_n they_o not_o by_o day_n nor_o the_o moon_n by_o night_n the_o instrument_n of_o these_o motion_n be_v hide_v in_o the_o body_n of_o a_o pelican_n which_o be_v portray_v under_o the_o globe_n the_o pole_n lift_v up_o to_o the_o elevation_n of_o strasburgh_n and_o note_v by_o a_o fair_a star_n make_v in_o brass_n the_o zenith_n be_v declare_v by_o a_o angel_n place_v in_o the_o midst_n of_o the_o meridian_n the_o second_o thing_n to_o be_v observe_v which_o be_v the_o first_o on_o the_o wall_n be_v two_o great_a circle_n one_o within_o another_o the_o one_o eight_o foot_n the_o other_o nine_o foot_n broad_a the_o uttermost_a move_v from_o the_o north_n to_o the_o south_n once_o in_o a_o year_n and_o have_v two_o angel_n the_o one_o on_o the_o north-side_n which_o point_v every_o day_n in_o the_o week_n the_o other_o on_o the_o 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circle_n on_o the_o wall_n the_o eclipse_n of_o the_o sun_n and_o moon_n be_v which_o be_v to_o come_v for_o many_o year_n even_o so_o many_o year_n as_o the_o wall_n may_v orderly_o contain_v the_o three_o thing_n which_o be_v to_o be_v see_v a_o little_a above_o this_o be_v a_o weekly_a motion_n of_o the_o planet_n as_o they_o name_v the_o day_n as_o on_o sunday_n the_o sun_n be_v draw_v about_o in_o his_o chariot_n according_o as_o the_o day_n be_v spend_v and_o so_o draw_v into_o another_o place_n so_o that_o before_o he_o be_v full_a in_o you_o shall_v have_v monday_n that_o be_v the_o moon_n clean_o forth_o and_o the_o horse_n of_o mars_n chariot_n put_v forth_o their_o head_n and_o so_o it_o be_v for_o every_o day_n in_o the_o week_n on_o this_o side_n there_o be_v nothing_o but_o dumb_a picture_n to_o garnish_v the_o wall_n
kexholm_n or_o barelogorod_n ingria_n which_o be_v not_o subdivide_v into_o province_n notteburg_n or_o orescu_n juanogorod_n caporia_n jamagorod_n livonia_n in_o part_n as_o the_o rest_n belong_v to_o the_o crown_n of_o poland_n esten_n or_o estonie_a where_o be_v the_o part_n of_o esten_n febin_n vickeland_n pernajo_n habsel_n harneland_n revel_v wireland_n wiesenburg_n tolsburg_n alantack_n nerva_n nyslot_n jervenland_n wittenstein_n kikeland_n derpt_v let_v with_o its_o part_n and_o place_n as_o they_o lie_v towards_o the_o west_n riga_n segenwold_n wenden_n walmer_n towards_o the_o south_n koekenhaus_n creutzburg_n dunburg_n towards_o the_o east_n maryenburg_n scandinavia_n wherein_o be_v the_o estate_n of_o denmark_n and_o sweden_n scandinavia_n the_o extent_n bound_n etc._n etc._n of_o scandinavia_n scandia_n or_o scandinavia_n be_v only_o a_o peninsula_n which_o extend_v itself_o from_o the_o 56th_o degree_n of_o latitude_n unto_o or_o beyond_o the_o 71_o which_o be_v near_o 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very_o cold_a and_o consequent_o not_o over_o fertile_a nor_o afford_v good_a fruit_n the_o commodity_n that_o this_o kingdom_n afford_v be_v fish_n hides_n tallow_n furniture_n for_o ship_n as_o pitch_n tar_n cordage_n mast_n etc._n etc._n also_o fir_n board_n wainscot_n several_a sort_n of_o armour_n etc._n etc._n virtute_fw-la non_fw-fr vi_o to_z the_o rt._n honorable_n 〈…〉_o lord_n 〈…〉_o &_o 〈…〉_o of_o 〈…〉_o dâ—â—â—â—â—_n &_o earl_n of_o 〈◊〉_d and_o l_o d_o of_o his_o majesty_n most_o honourable_a privy_a council_n &c_n &c_n 1678_o of_o 〈…〉_o &_o young_a son_n of_o one_o of_o the_o danish_n king_n that_o come_v into_o england_n with_o william_n the_o conqueror_n this_o map_n be_v humble_o dedicate_v by_o r_n b_o â—â—pp_n of_o the_o kingdom_n of_o dennmarke_n with_o its_o several_a diocese_n or_o province_n design_v by_o monsieur_n sanson_n geo_n inhabitant_n its_o inhabitant_n the_o inhabitant_n for_o the_o most_o part_n be_v of_o a_o good_a statute_n and_o complexion_n very_o healthful_a ingenious_a and_o of_o a_o ready_a wit_n very_o punctual_a in_o perform_v their_o promise_n proud_a and_o high_a conceit_a of_o their_o own_o worth_n lover_n of_o learning_n as_o may_v appear_v by_o those_o famous_a man_n it_o have_v breed_v viz._n tycho_n brahe_n the_o great_a mathematician_n john_n cluverus_n the_o renown_a philosopher_n and_o physician_n godfrey_n gottricus_n that_o stout_a warrior_n who_o not_o only_o settle_v the_o government_n of_o this_o kingdom_n but_o also_o shake_v the_o realm_n of_o france_n likewise_o waldemare_n christiern_n the_o second_o and_o four_o canutus_n and_o sueno_n which_o two_o last_n be_v the_o conqueror_n of_o england_n they_o be_v great_a punisher_n of_o offender_n especial_o theft_n and_o piracy_n their_o woman_n be_v of_o a_o comely_a grace_n very_o fair_a and_o as_o fruitful_a in_o child_n discreet_a and_o sober_a the_o peninsula_n call_v jvitland_n once_o cimbrica_n chersonesus_n juitland_n juitland_n from_o the_o cimbrian_o its_o ancient_a inhabitant_n it_o be_v divide_v into_o north_n and_o south_n juitland_n north_n jvitland_n be_v sever_v into_o the_o bishopric_n of_o ripen_v arthusen_n albourg_n and_o wibourg_n ripen_v diocese_n of_o ripen_v ripen_v contain_v 30_o prefecture_n or_o heret_n as_o they_o term_v they_o 7_o city_n or_o wall_a town_n and_o 10_o castle_n it_o be_v chief_a place_n be_v 1._o ripen_v seat_v near_o the_o german_a ocean_n the_o chief_a place_n of_o the_o diocese_n and_o dignify_v with_o a_o episcopal_n see_v 2._o kolding_n seat_v on_o a_o creek_n of_o the_o baltic_a sea_n 3._o we_o will_v 4._o warde_n etc._n etc._n arthusen_n diocese_n of_o arthusen_n arthusen_n contain_v 31_o prefecture_n 7_o city_n or_o wall_a town_n and_o 5_o castle_n it_o be_v chief_a place_n be_v 1._o arthusen_n seat_v on_o the_o baltic_a sea_n have_v a_o commodious_a and_o well_o frequent_v port_n and_o dignify_v with_o a_o episcopal_a see_n 2._o kalla_n a_o strong_a place_n seat_v in_o a_o large_a bay_n reach_v two_o dutch_a mile_n to_o the_o high_a hill_n of_o elemanberg_n opposite_a to_o which_o lie_v the_o isle_n of_o hilgones_n tuen_n samsoe_n hiarneo_n and_o hiolm_n etc._n etc._n 3._o horsen_n 4._o randersen_n 5._o ebelto_n and_o 6._o hobro_fw-la albourg_n diocese_n of_o albourg_n albourg_n which_o be_v divide_v into_o four_o part_n viz._n thyland_n who_o chief_a town_n be_v albourg_n seat_v on_o the_o bay_n of_o limford_n which_o open_v into_o the_o baltic_a sea_n extend_v itself_o through_o the_o main_a land_n almost_o to_o the_o german_a ocean_n 2._o hanebert_n on_o the_o northwest_n of_o limford_n bay_n contain_v 4_o prefecture_n and_o have_v for_o its_o chief_a place_n thystad_n 3._o morsee_v lie_v on_o the_o ocean_n contain_v 3_o prefecture_n the_o isle_n of_o ageroe_n the_o town_n of_o nicopin_n and_o the_o castle_n of_o lunstead_n and_o 4._o vensyssel_n according_a to_o mercator_n vandalorum_fw-la sedes_fw-la or_o the_o seat_n of_o the_o vandal_n contain_v 6_o prefecture_n 3_o town_n and_o 1_o castle_n viz._n selby_n cagen_n and_o hir_v wibourg_n diocese_n of_o wibourg_n wibourg_n contain_v 16_o prefecture_n the_o isle_n of_o egholm_n hansholm_n bodum_fw-la idgen_n cisland_n and_o ostholm_n also_o it_o have_v 3_o castle_n and_o as_o many_o city_n or_o wall_a town_n viz._n 1._o wibourg_n dignify_v with_o a_o episcopal_n see_v and_o the_o court_n of_o judicature_n for_o both_o the_o juitlands_n the_o point_n of_o scagen_n or_o scene_n end_v this_o peninsula_n towards_o the_o north._n 2._o lemwick_n and_o 3._o holcker_n south_n jvitland_n be_v divide_v into_o the_o dukedom_n of_o sleswick_n and_o holstein_n sleswick_n a_o country_n for_o the_o most_o part_n level_v sleswick_n sleswick_n enrich_v with_o fertile_a field_n both_o for_o corn_n and_o pasturage_n it_o be_v very_o well_o provide_v with_o good_a bay_n on_o the_o baltic_a which_o be_v find_v commodious_a for_o merchant_n the_o chief_a place_n in_o this_o dukedom_n be_v 1._o sleswick_n seat_v on_o the_o slea_n which_o fall_v into_o the_o baltic_a where_o it_o have_v a_o commodious_a and_o well_o frequent_v haven_n it_o be_v a_o fair_a town_n the_o chief_a of_o the_o dukedom_n and_o honour_v with_o a_o episcopal_a see_n 2._o hussen_n seat_v on_o the_o german_a ocean_n 3._o sternberg_n the_o ordinary_a residence_n of_o the_o governor_n for_o the_o king_n of_o denmark_n 4._o hadersleben_n seat_v on_o a_o navigable_a inlet_a of_o the_o baltic_a and_o fortify_v with_o a_o strong_a and_o fair_a castle_n 5._o flensborg_n seat_v on_o the_o baltic_a among_o high_a mountain_n have_v a_o port_n so_o commodious_a and_o deep_a that_o ship_n do_v lade_v and_o unlade_v close_o to_o their_o house_n and_o 6._o gottrop_n where_o there_o be_v a_o strong_a fort_n belong_v to_o the_o duke_n of_o sleswick_n seat_v at_o the_o end_n of_o a_o large_a bay_n of_o the_o baltic_a of_o note_n for_o the_o custom-house_n or_o tole-booth_n there_o erect_v for_o cattle_n send_v out_o of_o these_o part_n into_o germany_n holstein_n
be_v convey_v into_o the_o german_a ocean_n and_o hence_o into_o various_a part_n of_o the_o earth_n but_o when_o that_o they_o have_v perfect_v a_o great_a part_n of_o the_o channel_n land_n the_o water_n of_o the_o german_a ocean_n high_o than_o the_o land_n they_o be_v compel_v to_o desist_v by_o reason_n that_o at_o length_n they_o find_v by_o observation_n that_o the_o water_n of_o the_o german_a ocean_n be_v high_a than_o the_o land_n of_o leyden_n and_o the_o shore_n of_o this_o ocean_n therefore_o the_o german_a ocean_n be_v high_a than_o the_o belgic_a bay_n but_o we_o must_v esteem_v otherwise_o of_o those_o bay_n which_o flow_v between_o the_o land_n not_o by_o a_o oblong_a but_o by_o a_o broad_a tract_n as_o the_o bay_n or_o gulf_n of_o mexico_n bengala_n and_o other_o that_o these_o be_v of_o the_o same_o altitude_n with_o the_o ocean_n from_o which_o they_o be_v separate_v by_o no_o strait_a passage_n be_v not_o to_o be_v doubt_v of_o although_o i_o be_o not_o ignorant_a that_o the_o spaniard_n former_o do_v question_v this_o latter_a viz._n whether_o the_o pacifick_n ocean_n be_v high_a than_o the_o bay_n of_o mexico_n when_o they_o consult_v of_o dig_v through_o the_o american_n isthmus_n or_o that_o of_o panama_n that_o they_o may_v have_v a_o free_a and_o convenient_a passage_n from_o the_o bay_n of_o mexico_n to_o peru_n china_n and_o the_o indian_a isle_n viz._n the_o spaniard_n fear_v least_o the_o english_a dutch_a and_o other_o nation_n shall_v use_v this_o straight_a and_o stop_v the_o mouth_n of_o it_o and_o so_o invade_v peru._n wherefore_o to_o conclude_v it_o seem_v that_o we_o must_v determine_v that_o all_o the_o part_n and_o broad_a bay_n of_o the_o ocean_n be_v all_o of_o the_o same_o altitude_n as_o the_o first_o proposition_n prove_v i._o see_v proposit_n i._o but_o that_o the_o long_a gulf_n or_o bay_n especial_o those_o let_v in_o through_o a_o angust_n channel_n or_o streight_n be_v somewhat_o more_o low_a chief_o in_o the_o extreme_a part_n concern_v which_o yet_o i_o can_v wish_v that_o more_o diligent_a observation_n be_v make_v viz._n these_o be_v the_o doubt_n 1._o whether_o the_o indian_a atlantic_a and_o pacifick_n ocean_n be_v of_o the_o same_o altitude_n or_o whether_o the_o indian_a or_o pacifick_n be_v high_a than_o the_o atlantic_a 2._o whether_o the_o northern_a ocean_n proper_o so_o call_v viz._n that_o which_o be_v near_o to_o the_o pole_n or_o in_o the_o frigid_a zone_n be_v high_o than_o the_o atlantic_a ocean_n 3._o whether_o the_o red_a sea_n be_v high_a than_o the_o mediterranean_a 4._o whether_o the_o pacifick_n be_v high_o than_o the_o gulf_n of_o mexico_n 5._o whether_o the_o baltic_a ocean_n be_v equal_o as_o high_a as_o the_o atlantic_a the_o same_o shall_v be_v observe_v concern_v hudsons_n bay_n streights_n of_o magellan_n and_o such_o other_o concern_v the_o euxine_a sea_n we_o shall_v treat_v in_o the_o fifteen_o chapter_n the_o continual_a flux_n and_o reflux_n of_o the_o sea_n and_o other_o flux_n altogether_o cause_v the_o divers_a altitude_n of_o the_o part_n of_o the_o ocean_n and_o in_o the_o same_o part_n in_o a_o diverse_a time_n and_o hour_n of_o the_o day_n but_o these_o be_v external_a cause_n and_o we_o at_o present_a only_o consider_v the_o natural_a constitution_n of_o the_o water_n moreover_o they_o do_v not_o so_o vary_v the_o altitude_n in_o the_o ocean_n itself_o as_o it_o appear_v at_o the_o shore_n corollary_n therefore_o we_o can_v assent_v to_o papyrius_n fabianus_n and_o cleomedes_n which_o make_v the_o great_a altitude_n of_o the_o ocean_n to_o be_v fifteen_o stadia_n half_o a_o german_a mile_n except_o we_o must_v take_v their_o opinion_n concern_v the_o profundity_n and_o so_o altitude_n be_v ill_o place_v there_o for_o profundity_n proposition_n vi_o the_o depth_n of_o the_o sea_n or_o ocean_n in_o most_o part_n may_v be_v sound_v by_o the_o load_n or_o plummet_n there_o be_v very_o few_o place_n who_o bottom_n have_v not_o 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equal_a to_o the_o altitude_n of_o the_o mountain_n and_o mediterranean_a place_n above_o the_o shore_n viz._n as_o much_o as_o these_o be_v elevate_v and_o be_v extant_a above_o the_o horizon_n of_o the_o shore_n so_o much_o be_v the_o channel_n of_o the_o sea_n depress_v beneath_o it_o or_o as_o much_o as_o the_o earth_n rise_v from_o the_o shore_n towards_o the_o mediterranean_a place_n so_o much_o by_o degree_n more_o and_o more_o be_v it_o depress_v even_o unto_o the_o place_n of_o the_o middle_n of_o the_o ocean_n where_o for_o the_o most_o part_n be_v the_o great_a depth_n the_o profundity_n be_v change_v sometime_o in_o this_o sometime_o in_o that_o part_n for_o divers_a reason_n 1._o by_o reason_n of_o the_o flux_n and_o reflux_n 2._o with_o the_o increase_n and_o decrease_v of_o the_o moon_n 3._o from_o
the_o exiguity_n of_o the_o water_n which_o do_v not_o grow_v thick_a but_o resolve_v for_o although_o you_o take_v a_o great_a quantity_n of_o water_n and_o that_o you_o provoke_v with_o a_o light_n and_o gentle_a fire_n that_o the_o resolution_n may_v be_v impede_v yet_o the_o water_n acquire_v no_o salt_n taste_v 3._o lake_n and_o marsh_n though_o heat_v by_o the_o sun_n yet_o wax_v not_o salt_n this_o objection_n also_o scaliger_n endeavour_v to_o avoid_v say_v that_o this_o happen_v by_o the_o succession_n of_o fresh_a water_n and_o the_o same_o be_v find_v in_o those_o stand_a pool_n and_o lake_n which_o only_o proceed_v from_o rain_n or_o snow_n dissolve_v where_o there_o be_v no_o place_n for_o that_o refuge_n of_o succession_n for_o those_o lake_n be_v rather_o dry_v when_o that_o it_o rain_v not_o for_o a_o long_a space_n than_o turn_v into_o salt_n or_o render_v salt_n therefore_o reject_v those_o false_a opinion_n concern_v the_o cause_n and_o original_n of_o salt_n in_o the_o ocean_n let_v we_o lay_v hold_n of_o one_o of_o the_o most_o probable_a opinion_n with_o little_a or_o no_o difficulty_n in_o it_o viz._n 1._o that_o these_o particle_n be_v coeternal_a with_o the_o very_a ocean_n and_o therefore_o we_o shall_v no_o more_o dispute_v concern_v their_o original_n than_o concern_v the_o original_n of_o the_o ocean_n itself_o the_o earth_n yea_o and_o of_o the_o original_n and_o generation_n of_o the_o world_n 2._o if_o that_o this_o opinion_n be_v less_o complacent_fw-la we_o may_v make_v choice_n of_o another_o viz._n that_o these_o salt_n particle_n be_v here_o and_o there_o pull_v from_o the_o earth_n and_o so_o dissolve_v into_o water_n now_o it_o be_v certain_a that_o there_o be_v many_o saline_a mountain_n or_o rock_n in_o the_o bosom_n of_o the_o sea_n rock_n isle_n of_o ormus_n a_o salt_n rock_n the_o whole_a isle_n of_o ormus_n be_v nothing_o else_o but_o a_o white_a and_o hard_a salt_n of_o which_o they_o make_v the_o wall_n of_o their_o 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not_o easy_o refute_v for_o some_o say_v that_o it_o be_v impossible_a that_o those_o salt_n part_n of_o the_o earth_n shall_v perpetual_o suffice_v and_o shall_v not_o at_o some_o time_n or_o other_o be_v consume_v by_o the_o water_n of_o the_o ocean_n which_o continual_o take_v away_o some_o part_n of_o they_o unto_o this_o i_o answer_v that_o the_o salt_n of_o the_o ocean_n be_v not_o consume_v in_o so_o great_a abundance_n that_o it_o shall_v stand_v in_o need_n of_o much_o instauration_n and_o if_o that_o any_o be_v consume_v yet_o notwithstanding_o that_o be_v lay_v up_o in_o another_o place_n see_v that_o it_o be_v not_o remove_v out_o of_o the_o earth_n proposition_n ix_o whether_o that_o water_n be_v the_o fresh_a in_o the_o ocean_n by_o how_o much_o it_o be_v nigh_a the_o bottom_n and_o why_o in_o some_o part_n of_o the_o ocean_n fresh_a water_n be_v find_v in_o the_o bottom_n sea_n of_o the_o freshness_n of_o water_n in_o the_o sea_n unto_o the_o first_o i_o answer_v that_o 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exception_n the_o cause_n of_o this_o inequality_n in_o saltness_n be_v sixfold_a place_n the_o cause_n of_o the_o inequality_n of_o the_o saltness_n of_o the_o sea_n in_o different_a place_n 1._o that_o the_o heat_n of_o the_o sun_n in_o the_o torrid_a zone_n lift_v up_o more_o vapour_n from_o the_o ocean_n into_o the_o cloud_n than_o in_o the_o northern_a place_n which_o be_v the_o vapour_n of_o freshwater_n because_o that_o the_o particle_n of_o salt_n by_o reason_n of_o their_o gravity_n be_v not_o so_o easy_o lift_v up_o see_v therefore_o that_o from_o the_o water_n of_o the_o ocean_n of_o the_o torrid_a zone_n or_o where_o the_o place_n be_v more_o near_o the_o torrid_a zone_n so_o much_o the_o vapour_n be_v separate_v by_o the_o heat_n of_o the_o sun_n thence_o it_o come_v to_o pass_v that_o the_o water_n that_o be_v lest_o be_v find_v more_o salt_n there_o than_o in_o the_o northern_a place_n where_o there_o be_v not_o so_o much_o freshwater_n separate_v by_o reason_n of_o 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the_o same_o quantity_n of_o salt_n yet_o they_o must_v seem_v and_o appear_v so_o much_o the_o salt_a to_o the_o taste_n by_o how_o much_o they_o be_v near_o to_o the_o torrid_a zone_n and_o by_o how_o much_o they_o be_v more_o near_o the_o pole_n by_o so_o much_o they_o have_v less_o sensible_a salt_n cause_n the_o 3d_o cause_n 3._o the_o three_o cause_n be_v the_o more_o or_o less_o quantity_n of_o salt_n in_o the_o diverse_a part_n of_o the_o channel_n of_o the_o ocean_n for_o as_o we_o find_v in_o the_o part_n of_o the_o earth_n that_o there_o be_v not_o pit_n of_o salt_n in_o they_o all_o neither_o where_o they_o be_v find_v be_v there_o the_o like_a quantity_n of_o salt_n must_v be_v hold_v concern_v the_o part_n of_o the_o earth_n that_o the_o sea_n wash_v or_o cover_v that_o be_v the_o channel_n or_o the_o shore_n where_o there_o be_v therefore_o most_o quantity_n of_o salt_n or_o mineral_n in_o the_o bottom_n or_o shore_n of_o the_o ocean_n there_o the_o water_n be_v more_o 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apprehend_v it_o from_o his_o word_n neither_o do_v i_o see_v how_o it_o can_v follow_v from_o his_o hypothesis_n it_o be_v probable_a that_o the_o sun_n and_o general_a wind_n do_v very_o much_o contribute_v to_o this_o intumescency_n of_o the_o water_n and_o see_v that_o the_o sun_n in_o the_o aequinoctial_o do_v incumb_fw-la on_o the_o middle_n of_o the_o sea_n of_o the_o torrid_a zone_n therefore_o either_o he_o or_o the_o wind_n cause_n that_o the_o sea_n than_o swell_v more_o than_o at_o another_o time_n but_o as_o concern_v the_o solstice_n we_o must_v say_v in_o a_o contrary_a mode_n or_o that_o the_o same_o be_v the_o cause_n of_o the_o great_a intumescency_n of_o the_o sea_n in_o the_o time_n of_o the_o aequinoctial_o either_o of_o the_o spring_n or_o autumn_n which_o be_v the_o cause_n of_o more_o frequent_a rain_n wind_n and_o inundadion_n in_o those_o season_n proposition_n fourteen_o in_o some_o part_n of_o the_o ocean_n gulf_n and_o shore_n great_a be_v the_o increase_n and_o decrease_v of_o the_o water_n in_o the_o influx_n and_o deflux_n in_o other_o some_o it_o be_v very_o small_a in_o some_o not_o discernible_a and_o so_o there_o be_v no_o flux_n and_o reflux_n or_o intumescency_n and_o detumescency_n ocean_n the_o increase_n and_o decrease_v of_o the_o water_n in_o several_a part_n of_o the_o ocean_n those_o place_n receive_v great_a augmentation_n and_o decrease_n 1._o that_o be_v under_o the_o torrid_a zone_n between_o the_o tropic_n for_o then_o the_o moon_n press_v for_o the_o most_o part_n be_v there_o carry_v round_o 2._o in_o place_n that_o be_v direct_o extend_v from_o east_n to_o west_n or_o nigh_o the_o collateral_a quarter_n 3._o in_o those_o gulf_n that_o be_v long_a and_o less_o broad_a the_o augmentation_n be_v the_o more_o sensible_a 4._o in_o those_o place_n in_o which_o few_o island_n or_o procurrent_n adjoyn_v to_o the_o earth_n cambaja_n the_o great_a flux_n and_o deflux_n in_o the_o straight_a of_o cambaja_n the_o great_a flux_n and_o deflux_n hitherto_o observe_v be_v that_o which_o be_v in_o the_o straight_a of_o cambaja_n in_o one_o of_o the_o inlet_n of_o the_o river_n indus_n and_o it_o have_v strike_v many_o with_o admiration_n for_o the_o water_n recede_v to_o a_o high_a distance_n and_o that_o very_o speedy_o whence_o not_o without_o reason_n the_o river_n indus_n or_o the_o gulf_n of_o cambaja_n be_v think_v to_o be_v that_o unto_o which_o when_o that_o alexander_n the_o great_a come_v and_o endeavour_v to_o pass_v his_o army_n over_o as_o it_o be_v there_o relate_v the_o water_n present_o go_v back_o and_o leave_v his_o ship_n a_o ground_n hence_o he_o go_v no_o far_o but_o judge_v that_o the_o god_n have_v here_o fix_v the_o bound_n of_o his_o expedition_n with_o a_o prohibition_n of_o proceed_v any_o far_o the_o cause_n be_v the_o small_a or_o narrow_a and_o deep_a depression_n of_o the_o channel_n but_o yet_o it_o be_v probable_a there_o be_v some_o other_o cause_n damman_n fluv_n and_o reflux_n at_o damman_n at_o the_o city_n damman_n in_o india_n not_o far_o from_o surat_n the_o altitude_n of_o the_o water_n by_o flux_n and_o reflux_n be_v vary_v at_o two_o and_o a_o half_a orygas_n and_o the_o sea_n depart_v from_o the_o shore_n the_o space_n of_o half_a a_o mile_n in_o the_o gulf_n of_o cambaja_n the_o flux_n augment_v the_o altitude_n five_o orgyas_n other_o say_v seven_o which_o unusual_a augmentation_n have_v be_v the_o cause_n of_o the_o loss_n of_o many_o ship_n by_o unexperienced_a mariner_n for_o the_o water_n fall_v they_o have_v be_v split_v on_o the_o rock_n red-sea_n no_o constant_a time_n of_o the_o flux_n and_o reflux_n in_o the_o strait_n of_o magellan_n the_o flux_n and_o reflux_n in_o the_o red-sea_n in_o the_o gulf_n and_o shore_n of_o the_o strait_n of_o magellan_n no_o constant_a time_n of_o the_o flux_n and_o reflux_n be_v observe_v for_o sometime_o the_o water_n flow_v and_o reflow_v in_o three_o hour_n othersome_a in_o twelve_o hour_n which_o inconstancy_n be_v to_o be_v ascribe_v to_o the_o violent_a irruption_n of_o the_o ocean_n into_o that_o straight_a and_o from_o the_o various_a agitation_n of_o the_o wind_n about_o malacca_n also_o at_o the_o straight_a of_o sunda_n a_o notable_a flux_n and_o deflux_n be_v observe_v in_o the_o arabian_a gulf_n or_o red_a sea_n some_o of_o the_o ancient_n have_v write_v that_o there_o be_v so_o great_a a_o reflux_n as_o scaliger_n write_v that_o moses_n and_o the_o israelite_n pass_v over_o without_o any_o miracle_n but_o it_o be_v false_a because_o the_o reflux_n be_v not_o there_o so_o great_a as_o to_o leave_v the_o channel_n dry_a on_o the_o coast_n of_o china_n the_o flux_n and_o reflux_n be_v very_o sensible_a as_o also_o at_o the_o isle_n of_o japan_n at_o panama_n on_o the_o coast_n of_o america_n lie_v at_o the_o pacifick_n ocean_n the_o sea_n be_v very_o much_o exalt_v panama_n the_o sea_n at_o the_o flux_n much_o exalt_v at_o panama_n and_o by_o and_o by_o depress_v again_o in_o the_o full_a moon_n the_o flux_n be_v so_o much_o augment_v that_o water_n enter_v into_o the_o house_n of_o the_o city_n yea_o in_o almost_o all_o the_o shore_n of_o the_o south_n sea_n the_o altitude_n of_o the_o water_n be_v wonderful_o augment_v and_o diminish_v so_o that_o in_o the_o reflux_n the_o decrease_n be_v sensible_a for_o two_o mile_n in_o the_o gulf_n of_o bengala_n at_o the_o shore_n of_o sâ—am_n the_o flux_n augment_v the_o altitude_n ten_o foot_n sea_n the_o flux_n not_o perceivable_a in_o the_o mediterranean_a sea_n but_o in_o the_o mediterranean_a sea_n which_o flow_v in_o through_o the_o strait_n of_o gibraltar_n from_o the_o west_n to_o the_o east_n the_o flux_n be_v not_o perceivable_a because_o the_o situation_n be_v contrary_a to_o the_o quarter_n into_o which_o the_o sea_n be_v move_v and_o therefore_o the_o water_n of_o it_o be_v little_o augment_v by_o the_o flux_n so_o that_o it_o be_v not_o discernible_a unless_o in_o the_o gulf_n of_o venice_n which_o by_o reason_n of_o its_o long_a extension_n and_o small_a latitude_n show_v the_o flux_n and_o reflux_n when_o in_o the_o other_o part_n of_o the_o mediterranean_a sea_n by_o reason_n of_o its_o notable_a latitude_n that_o little_a augmentation_n and_o decrease_n be_v not_o discover_v whence_o this_o flux_n and_o reflux_n be_v unknown_a to_o the_o grecian_n as_o also_o to_o the_o roman_n in_o the_o time_n of_o scipio_n africanus_n and_o the_o grecian_n as_o well_v as_o the_o roman_n account_v it_o as_o miraculous_a what_o sometime_o they_o discover_v in_o other_o place_n as_o be_v manifest_a from_o the_o expedition_n of_o alexander_n the_o great_a and_o of_o scipio_n in_o the_o expugnation_n of_o carthage_n but_o in_o the_o time_n of_o cicero_n it_o be_v know_v to_o the_o roman_n yet_o some_o observe_v it_o a_o little_a at_o massilia_n also_o at_o certain_a coast_n of_o barbary_n it_o be_v note_v enough_o out_o the_o flux_n and_o reflux_n in_o the_o baltic_a sea_n not_o yet_o find_v out_o in_o the_o baltic_a ocean_n as_o also_o in_o the_o whole_a northern_a sea_n beyond_o england_n towards_o norway_n and_o greenland_n the_o flux_n and_o reflux_n of_o the_o sea_n be_v not_o yet_o find_v out_o as_o neither_o in_o the_o north_n coast_n of_o the_o pacifick_n ocean_n but_o the_o cause_n be_v not_o yet_o sufficient_o know_v unless_o you_o will_v say_v that_o those_o sea_n be_v remote_a from_o the_o course_n of_o the_o moon_n and_o also_o that_o they_o be_v extend_v from_o the_o west_n to_o the_o east_n and_o north_n moreover_o that_o many_o isle_n and_o procurrency_n of_o land_n do_v hinder_v these_o three_o must_v be_v conjoin_v to_o impede_fw-la the_o flux_n of_o the_o sea_n in_o these_o place_n proposition_n xv._o the_o flux_n and_o reflux_n of_o the_o sea_n be_v a_o violent_a motion_n viz._n a_o impulse_n but_o the_o reflux_n be_v a_o natural_a motion_n of_o the_o water_n for_o the_o flux_n be_v cause_v by_o the_o pression_n of_o the_o moon_n or_o matter_n between_o the_o moon_n and_o the_o earth_n or_o also_o because_o that_o the_o sea_n do_v not_o remain_v in_o that_o situation_n which_o be_v receive_v in_o the_o flux_n this_o be_v a_o sign_n that_o it_o be_v a_o violent_a motion_n but_o in_o the_o reflux_n the_o sea_n be_v move_v from_o a_o more_o high_a place_n to_o a_o more_o depress_a place_n which_o be_v the_o natural_a motion_n of_o water_n lemma_n the_o place_n of_o the_o moon_n be_v give_v in_o the_o ecliptic_a and_o the_o latitude_n and_o hour_n of_o the_o day_n from_o a_o ephemerides_n or_o by_o supputation_n or_o astronomical_a observation_n to_o find_v on_o the_o terrestrial_a globe_n the_o place_n unto_o which_o the_o moon_n at_o the_o hour_n give_v be_v vertical_a also_o to_o exhibit_v all_o those_o place_n of_o the_o earth_n unto_o
which_o the_o moon_n will_v be_v vertical_a that_o day_n viz._n one_o after_o another_o 19_o see_v proposition_n 13._o in_o chap._n 19_o the_o use_n of_o this_o problem_n be_v great_a yea_o very_a necessary_a in_o the_o doctrine_n concern_v the_o flux_n and_o reflux_n of_o the_o sea_n the_o mode_n of_o perform_v of_o the_o same_o you_o shall_v find_v in_o the_o nineteenth_o chapter_n and_o the_o thirteen_o proposition_n for_o there_o it_o be_v more_o convenient_o explain_v yet_o the_o explication_n of_o that_o proposition_n may_v be_v anticipate_v and_o demonstrate_v to_o the_o studious_a in_o this_o chapter_n proposition_n xvi_o in_o those_o place_n of_o the_o sea_n to_o which_o the_o moon_n be_v vertical_a the_o flux_n and_o deflux_n be_v great_a except_o that_o there_o be_v other_o impediment_n which_o we_o have_v reckon_v up_o in_o the_o fourteen_o proposition_n and_o by_o how_o much_o the_o part_n of_o the_o sea_n be_v more_o remote_a from_o the_o place_n by_o so_o much_o the_o flux_n and_o deflux_n be_v lesser_a other_o thing_n be_v equal_a for_o because_o in_o that_o place_n the_o pressure_n be_v great_a and_o the_o tumour_n of_o the_o water_n great_a which_o be_v more_o vicine_fw-la to_o the_o moon_n press_v and_o the_o celestial_a matter_n thence_o follow_v that_o that_o the_o proposition_n intimate_v the_o objection_n concern_v some_o other_o place_n in_o the_o comparison_n of_o which_o the_o contrary_a be_v find_v be_v to_o be_v excuse_v by_o the_o admixtion_n of_o other_o cause_n proposition_n xvii_o the_o quantity_n of_o the_o flux_n and_o reflux_n be_v unconstant_a in_o every_o place_n and_o divers_a on_o several_a day_n and_o by_o so_o much_o the_o great_a or_o lesser_a by_o how_o much_o the_o moon_n be_v more_o remote_a or_o near_o unto_o that_o place_n ecliptic_a the_o moon_n every_o day_n change_v her_o place_n in_o the_o ecliptic_a for_o the_o moon_n every_o day_n change_v her_o place_n in_o the_o ecliptic_a and_o so_o on_o other_o day_n be_v vertical_a to_o other_o place_n and_o by_o consequence_n be_v more_o remote_a from_o any_o place_n or_o more_o near_o which_o be_v observe_v we_o conclude_v from_o the_o precede_a proposition_n that_o there_o be_v a_o divers_a quantity_n of_o the_o flux_n and_o reflux_n in_o one_o and_o the_o same_o place_n on_o divers_a day_n whether_o that_o the_o diversity_n be_v sensible_a or_o insensible_a proposition_n xviii_o the_o great_a intumescency_n of_o water_n in_o any_o place_n and_o term_v of_o the_o flux_n aught_o to_o be_v when_o that_o the_o moon_n do_v occupy_v the_o meridian_n of_o the_o place_n but_o in_o many_o place_n it_o be_v find_v to_o be_v in_o another_o situation_n of_o the_o moon_n for_o than_o be_v the_o moon_n most_o nigh_o to_o any_o place_n of_o the_o earth_n when_o that_o it_o be_v in_o the_o meridian_n of_o that_o place_n because_o that_o the_o hypotenusa_fw-la of_o a_o right_a angle_a triangle_n be_v low_a than_o the_o cathetus_n whence_o it_o be_v infer_v by_o the_o xvi_o proposition_n that_o when_o the_o moon_n be_v in_o the_o meridian_n 16._o see_v proposition_n 16._o there_o ought_v to_o be_v the_o great_a intumescency_n and_o altitude_n of_o water_n and_o immediate_o a_o decrease_n to_o succeed_v but_o when_o the_o moon_n be_v in_o the_o low_a of_o the_o meridian_n than_o the_o narrow_a of_o the_o vortex_n of_o the_o earth_n opposite_a to_o it_o in_o the_o upper_a meridian_n and_o therefore_o do_v effect_v the_o same_o as_o if_o that_o the_o body_n of_o the_o moon_n be_v present_a but_o here_o arise_v a_o great_a difficulty_n for_o there_o be_v many_o place_n and_o coast_n of_o the_o earth_n in_o which_o we_o find_v that_o the_o term_n of_o the_o flux_n be_v not_o when_o that_o the_o moon_n come_v to_o the_o meridian_n as_o the_o philosopher_n hold_v before_o this_o age_n but_o soon_o or_o late_a viz._n when_o that_o the_o moon_n come_v to_o a_o certain_a quarter_n not_o cardinal_n and_o this_o quarter_n be_v not_o constant_o observe_v but_o in_o new_a and_o full_a moon_n for_o the_o most_o part_n the_o great_a intumescency_n be_v and_o the_o begin_n of_o a_o detumescency_n before_o the_o moon_n come_v to_o this_o quarter_n or_o vertical_a circle_n so_o at_o london_n the_o water_n be_v at_o the_o high_a when_o the_o moon_n come_v to_o the_o quarter_n which_o be_v between_o the_o south_n and_o west_n or_o north_n and_o east_n that_o be_v to_o the_o south_n west_n or_o north_n east_n quarter_n at_o the_o coast_n of_o china_n in_o the_o port_n of_o the_o city_n maccau_n portugal_n the_o great_a flux_n at_o the_o coast_n of_o china_n observe_v by_o a_o portugal_n a_o certain_a portugal_n mariner_n observe_v the_o time_n of_o the_o great_a intumescency_n by_o this_o mode_n the_o elevation_n of_o the_o pole_n be_v 22_o degree_n 20_o minute_n in_o the_o year_n 1584._o on_o the_o 19_o of_o september_n the_o moon_n be_v at_o full_a than_o the_o intumescency_n or_o altitude_n of_o the_o high_a water_n be_v observe_v in_o the_o morning_n at_o ½_n or_o ¼_n of_o a_o hour_n past_o 8._o therefore_o then_o the_o moon_n be_v remove_v from_o the_o meridian_n 3_o ¼_n hour_n whence_o the_o quarter_n or_o vertical_a circle_n in_o which_o the_o moon_n at_o that_o moment_n of_o time_n be_v be_v find_v according_a to_o the_o problem_n of_o the_o 30_o chapter_n anno_fw-la 1585._o on_o the_o 16_o of_o february_n in_o the_o full_a moon_n the_o great_a height_n of_o water_n be_v observe_v at_o half_a a_o hour_n past_o a_o eleven_o a_o clock_n at_o noon_n place_n certain_a observation_n take_v by_o a_o dutch_a mariner_n of_o the_o flux_n of_o the_o sea_n in_o many_o place_n a_o certain_a dutch_a mariner_n on_o the_o day_n of_o the_o new_a and_o full_a moon_n note_v the_o hour_n of_o divers_a place_n for_o the_o term_n or_o intumescency_n of_o the_o flux_n from_o which_o i_o have_v extract_v these_o at_o the_o twelve_o hour_n on_o the_o day_n of_o the_o new_a and_o full_a moon_n on_o the_o coast_n of_o flanders_n at_o enchusen_n in_o holland_n at_o horn_n at_o embden_n in_o east_n freezland_n at_o the_o mouth_n of_o the_o elve_n at_o eider_n at_o the_o isle_n of_o jutland_n and_o at_o dover_n at_o england_n at_o 45_o minute_n past_o 12_o at_o flushing_n in_o zealand_n half_o a_o hour_n after_o one_o a_o clock_n at_o the_o occidental_a coast_n of_o the_o isle_n of_o wight_n at_o calis_n at_o the_o mouth_n of_o the_o river_n of_o thames_n at_o the_o shore_n of_o zealand_n in_o the_o mouth_n of_o scald_v in_o mosa_n and_o at_o gore_v a_o quarter_n after_o two_o before_o the_o mouth_n of_o scald_v and_o the_o mouth_n of_o mosa_n at_o three_o a_o clock_n at_o amsterdam_n rotterdam_n dort_n in_o holland_n at_o newcastle_n in_o england_n at_o arment_n in_o flanders_n in_o the_o mouth_n of_o the_o river_n of_o bordeaux_n in_o the_o south_n coast_n of_o britain_n gallocia_n gascoyn_n biscay_n portugal_n and_o spain_n and_o on_o the_o western_a coast_n of_o ireland_n even_o to_o hitland_n a_o quarter_n after_o four_o in_o the_o evening_n at_o rouen_n in_o france_n between_o mosa_n and_o rochel_n in_o the_o river_n of_o bordeaux_n in_o the_o bay_n of_o the_o spanish_a portugal_n and_o gallecian_a coast_n in_o the_o south_n coast_n of_o britain_n in_o france_n gascoyn_n and_o on_o the_o western_a coast_n of_o ireland_n half_n a_o hour_n past_o four_o from_o the_o texel_n at_o the_o south_n coast_n of_o ireland_n a_o quarter_n past_o five_o in_o all_o the_o port_n of_o the_o southern_a coast_n of_o ireland_n at_o plymouth_n in_o england_n and_o other_o southern_a place_n of_o it_o even_o to_o the_o coast_n of_o wales_n at_o six_o in_o the_o evening_n and_o morning_n before_o hamburgh_n in_o the_o elbe_n before_o bremen_n the_o texel_n antwerp_n in_o the_o channel_n between_o england_n and_o brabant_n without_o sorlis_n a_o quarter_n before_o seven_o in_o the_o evening_n between_o fawick_n and_o vaelmuya_n in_o the_o channel_n even_o to_o bristol_n before_o st._n nicholas_n and_o podessembe_n even_o to_o waymouth_n and_o hartepole_n at_o half_a a_o hour_n past_o seven_o in_o the_o haven_n at_o the_o texel_n at_o kilduyna_n in_o the_o middle_n of_o the_o channel_n nigh_o plymouth_n and_o in_o the_o sea_n even_o to_o the_o promontory_n of_o the_o lizard_n a_o quarter_n past_o eight_o in_o the_o evening_n nigh_o the_o isle_n of_o wight_n in_o the_o channel_n even_o to_o bevesier_n without_o the_o fly_n on_o the_o coast_n of_o holland_n at_o nine_o before_o the_o mouth_n of_o the_o river_n ems_n in_o freezland_n before_o the_o fly_n before_o the_o coast_n of_o freezland_n at_o the_o eastern_a coast_n of_o the_o isle_n of_o wight_n at_o half_a a_o hour_n past_o ten_o before_o the_o mouth_n of_o the_o river_n thames_n on_o the_o coast_n of_o normandy_n and_o picardy_n and_o at_o a_o quarter_n
past_o eleven_o a_o clock_n in_o the_o river_n thames_n and_o other_o place_n of_o england_n difference_n a_o difficult_a task_n to_o explicate_v the_o cause_n of_o this_o difference_n now_o it_o be_v a_o most_o difficult_a task_n to_o explicate_v the_o cause_n of_o this_o so_o notable_a a_o difference_n and_o that_o in_o all_o place_n although_o it_o be_v incumbent_a on_o the_o philosopher_n or_o geographer_n yet_o it_o be_v probable_a that_o the_o various_a wind_n of_o the_o shore_n the_o situation_n of_o the_o coast_n in_o respect_n of_o the_o sea_n the_o obstacle_n of_o island_n the_o mutual_a meeting_n of_o the_o water_n the_o distance_n of_o the_o place_n from_o the_o lunary_n way_n various_a way_n especial_o those_o that_o be_v constant_a and_o general_a the_o decline_a of_o the_o shore_n and_o other_o thing_n do_v very_o much_o conduce_v to_o this_o propriety_n of_o the_o flux_n for_o example_n at_o the_o port_n of_o london_n in_o the_o coast_n of_o england_n the_o water_n increase_v until_o the_o moon_n come_v unto_o the_o quarter_n of_o the_o south-west_n viz._n when_o it_o decline_v from_o the_o ecliptic_a towards_o the_o south_n for_o then_o water_n begin_v to_o flow_v back_o again_o but_o not_o when_o the_o moon_n come_v to_o the_o meridian_n therefore_o we_o say_v that_o whilst_o the_o moon_n move_v to_o the_o meridian_n of_o london_n towards_o brazile_n or_o from_o brazile_n towards_o london_n the_o sea_n do_v not_o recede_v from_o london_n but_o be_v yet_o augment_v by_o reason_n that_o the_o coast_n of_o america_n unto_o which_o the_o ocean_n be_v move_v by_o the_o moon_n do_v repel_v that_o water_n towards_o england_n and_o this_o happen_v therefore_o because_o it_o afford_v not_o a_o passage_n for_o the_o water_n but_o why_o when_o the_o moon_n be_v decline_v from_o the_o ecliptic_a towards_o the_o north_n be_v the_o great_a altitude_n of_o the_o water_n and_o the_o begin_n of_o the_o decrease_v observe_v before_o the_o moon_n come_v to_o the_o meridian_n viz._n in_o the_o north-east_n i_o answer_v that_o this_o come_v to_o pass_v because_o that_o the_o moon_n be_v then_o far_o more_o near_o to_o england_n than_o when_o it_o decline_v from_o the_o ecliptic_a towards_o the_o south_n and_o therefore_o then_o it_o more_o swift_o fill_v but_o the_o cause_n why_o then_o the_o flux_n be_v no_o long_o protract_v even_o until_o the_o moon_n come_v to_o the_o meridian_n may_v be_v by_o reason_n that_o the_o moon_n force_v the_o sea_n more_o near_o the_o sea_n of_o mexico_n and_o hudsons_n strait_n where_o there_o be_v find_v a_o great_a intumescency_n and_o detumescency_n on_o the_o coast_n of_o china_n we_o therefore_o say_v that_o the_o intumescency_n do_v anticipate_v the_o appulse_n of_o the_o moon_n at_o the_o meridian_n by_o reason_n that_o a_o continnual_a east_n wind_n drive_v that_o sea_n towards_o the_o west_n but_o these_o allegation_n i_o leave_v to_o be_v far_o examine_v by_o the_o searcher_n of_o nature_n but_o for_o the_o find_v out_o of_o the_o true_a cause_n it_o be_v altogether_o necessary_a that_o we_o acquire_v accurate_a observation_n how_o the_o flux_n and_o reflux_n of_o the_o sea_n be_v make_v in_o divers_a place_n viz._n in_o what_o vertical_a the_o moon_n be_v in_o that_o flux_n how_o the_o quarter_n be_v vary_v in_o a_o divers_a place_n of_o the_o moon_n as_o in_o the_o full_a and_o new_a especial_o in_o those_o place_n where_o the_o moon_n become_v vertical_a also_o in_o those_o which_o direct_o respect_v the_o east_n west_n and_o north._n also_o that_o must_v be_v diligent_o observe_v how_o the_o flux_n be_v here_o make_v in_o those_o hour_n of_o the_o day_n whilst_o that_o the_o moon_n be_v in_o the_o north_n part_n of_o her_o circle_n have_v not_o the_o sea_n place_v vertical_o under_o she_o but_o land_n in_o a_o long_a tract_n viz._n from_o cambaja_n and_o china_n even_o to_o the_o occidental_a coast_n of_o africa_n for_o because_o then_o that_o it_o do_v not_o direct_o press_v the_o water_n it_o be_v depend_v over_o the_o mediterranean_a place_n i_o thence_o suppose_v that_o some_o variety_n must_v happen_v to_o this_o motion_n also_o what_o then_o it_o do_v whilst_o the_o moon_n rule_v in_o the_o south_n hemisphere_n pass_v over_o the_o mediterranean_a part_n of_o brazile_n or_o southern_a america_n without_o these_o observation_n we_o shall_v hardly_o arrive_v at_o the_o true_a cause_n neither_o shall_v we_o neglect_v this_o argument_n proposition_n xix_o the_o sea_n flow_v to_o most_o coast_n in_o six_o hour_n and_o twelve_o minute_n and_o reflow_v also_o in_o so_o many_o hour_n less_o the_o sea_n in_o few_o place_n flow_v in_o more_o hour_n and_o reflow_v in_o less_o in_o very_o few_o place_n it_o flow_v in_o more_o hour_n and_o reflow_v in_o less_o and_o on_o the_o contrary_a in_o very_a few_o place_n it_o flow_v in_o few_o hour_n and_o reflow_v in_o more_o yet_o so_o that_o the_o time_n of_o the_o flux_n and_o deflux_n viz._n between_o the_o two_o great_a intumescency_n together_o make_v twelve_o hour_n with_o 24_o ⅛_n minute_n and_o two_o such_o time_n make_v 24_o hour_n with_o about_o 50_o minute_n 48_o ¾_n and_o therefore_o on_o every_o day_n the_o great_a intumescency_n fall_v out_o late_a almost_o by_o a_o hour_n because_o that_o the_o moon_n almost_o a_o entire_a hour_n return_v more_o slow_o to_o the_o same_o meridian_n every_o day_n we_o have_v sufficient_o explain_v the_o first_o part_n of_o the_o proposition_n in_o the_o demonstration_n of_o the_o eleven_o proposition_n although_o in_o this_o demonstration_n we_o have_v take_v the_o altitude_n of_o the_o sea_n the_o moon_n possess_v the_o meridian_n but_o in_o this_o proposition_n by_o reason_n that_o in_o the_o proceed_n we_o have_v show_v that_o in_o many_o place_n that_o altitude_n do_v happen_v the_o moon_n be_v constitute_v without_o the_o meridian_n we_o do_v not_o reckon_v in_o they_o the_o hour_n from_o the_o time_n in_o which_o the_o moon_n possess_v the_o meridian_n but_o for_o that_o time_n in_o which_o the_o moon_n occupi_v that_o vertical_a place_n in_o the_o which_o when_o that_o the_o moon_n be_v it_o be_v manifest_a that_o the_o great_a intumescency_n be_v yet_o in_o these_o place_n the_o period_n of_o the_o increment_n ot_fw-mi decrement_n do_v not_o exact_o observe_v these_o twelve_o hour_n witih_o twenty_o four_o minute_n or_o twenty_o four_o hour_n with_o fifty_o minute_n because_o that_o the_o moon_n by_o reason_n of_o its_o various_a and_o mutable_a distance_n from_o the_o vertex_fw-la either_o in_o more_o or_o few_o hour_n return_v to_o the_o same_o vertical_a which_o difference_n notwithstanding_o be_v not_o great_a although_o therefore_o in_o all_o place_n the_o flux_n and_o reflux_n be_v complete_v almost_o in_o twelve_o hour_n and_o twenty_o four_o minute_n when_o that_o there_o be_v no_o tempest_n also_o in_o most_o this_o time_n be_v equal_o divide_v between_o the_o flux_n and_o reflux_n so_o that_o in_o six_o hour_n it_o flow_v and_o in_o so_o many_o reflow_v yet_o in_o some_o place_n the_o time_n of_o the_o flux_n be_v unequal_a to_o the_o time_n of_o the_o deflux_n viz._n more_o or_o less_o france_n the_o flux_n and_o reflux_n of_o the_o ocean_n at_o the_o river_n garumna_n in_o france_n the_o ocean_n enter_v garumna_n a_o river_n in_o france_n in_o seven_o hour_n and_o reslow_v in_o five_o so_o at_o the_o port_n of_o maccoa_n on_o the_o coast_n of_o china_n the_o flux_n be_v in_o nine_o hour_n and_o reflow_v in_o three_o yea_o in_o less_o if_o that_o the_o eastern_a wind_n blow_v on_o the_o contrary_a at_o the_o coast_n of_o zenega_n a_o river_n of_o aethiopia_n the_o sea_n flow_v in_o four_o hour_n and_o reflow_v in_o eight_o the_o cause_n of_o these_o difference_n be_v difficult_a some_o refer_v they_o to_o the_o swift_a and_o valid_a efflux_n of_o the_o river_n or_o also_o to_o a_o simple_a efflux_n for_o therefore_o the_o shoar_n of_o garumna_n discover_v the_o flux_n in_o seven_o hour_n because_o that_o its_o strong_a motion_n retard_v the_o flux_n but_o yet_o assi_v the_o deflux_n therefore_o the_o sea_n reflow_v in_o five_o hour_n other_o have_v add_v those_o hour_n to_o the_o flux_n by_o reason_n that_o the_o sea_n reflowing_a from_o the_o more_o northern_a place_n hinder_v least_o the_o sea_n shall_v hinder_v the_o egress_n from_o garumna_n but_o rather_o be_v more_o force_v on_o it_o but_o i_o suppose_v therefore_o to_o be_v by_o reason_n that_o garumna_n pour_v forth_o itself_o by_o a_o strong_a motion_n from_o its_o inlet_n or_o mouth_n into_o the_o ocean_n for_o some_o distance_n this_o efflux_n be_v prohibit_v on_o some_o part_n from_o the_o sea_n and_o so_o the_o water_n of_o garumna_n be_v at_o a_o stand_v also_o for_o some_o space_n before_o that_o the_o sea_n by_o reason_n of_o the_o moon_n enter_v its_o
channel_n as_o for_o the_o increase_n of_o zenega_n which_o only_o have_v four_o hour_n whether_o the_o cause_n ought_v to_o be_v ascribe_v to_o the_o extension_n of_o the_o channel_n from_o the_o west_n to_o the_o east_n or_o unto_o the_o swift_a deflux_n of_o zenega_n which_o may_v prohibit_v the_o influx_n for_o two_o hour_n or_o whether_o to_o some_o other_o cause_n i_o question_v and_o require_v a_o more_o accurate_a observation_n viz._n whether_o it_o decrease_v eight_o hour_n or_o only_o six_o hour_n and_o in_o the_o other_o two_o do_v neither_o increase_v nor_o decrease_v because_o the_o strong_a flux_n of_o the_o river_n hinder_v the_o flux_n that_o also_o must_v be_v consider_v that_o depress_v and_o low_a place_n may_v have_v the_o flux_n in_o more_o hour_n and_o the_o deflux_n in_o few_o proposition_n xx._n whether_o the_o flux_n do_v begin_v when_o the_o moon_n touch_v the_o horizon_n or_o in_o the_o increment_n be_v in_o the_o place_n who_o the_o horizon_n be_v so_o they_o common_o say_v but_o yet_o we_o hold_v the_o contrary_a in_o those_o place_n in_o which_o the_o water_n be_v at_o the_o high_a when_o that_o the_o moon_n be_v in_o the_o meridian_n for_o when_o the_o moon_n decline_v from_o the_o aequator_fw-la towards_o the_o south_n than_o she_o arrive_v at_o the_o meridian_n in_o less_o than_o six_o hour_n and_o therefore_o the_o flux_n shall_v begin_v when_o that_o the_o moon_n be_v yet_o depress_v beneath_o the_o horizon_n on_o the_o contrary_a when_o that_o the_o moon_n decline_v from_o the_o aequator_fw-la towards_o the_o north_n she_o require_v more_o than_o six_o hour_n to_o come_v from_o the_o horizon_n to_o the_o meridian_n and_o therefore_o when_o that_o the_o moon_n be_v elevate_v above_o the_o horizon_n unto_o the_o horary_a circle_n of_o the_o six_o hour_n then_o at_o length_n the_o flux_n begin_v and_o so_o it_o be_v observe_v in_o most_o place_n but_o the_o contrary_n be_v at_o london_n as_o we_o have_v say_v in_o the_o precedent_a proposition_n nineteeen_o see_v proposition_n nineteeen_o and_o the_o reason_n seem_v to_o require_v that_o although_o the_o moon_n decline_v from_o the_o aequator_fw-la towards_o the_o north_n yet_o that_o the_o flux_n shall_v begin_v in_o the_o place_n where_o the_o moon_n come_v to_o the_o horizon_n for_o then_o the_o place_n be_v distant_a by_o a_o quarter_n from_o the_o place_n unto_o which_o the_o moon_n be_v vertical_a and_o therefore_o the_o pressure_n of_o the_o sea_n come_v or_o extend_v hither_o and_o here_o more_o accurate_a observation_n be_v require_v proposition_n xxi_o the_o hour_n be_v give_v in_o which_o the_o great_a or_o least_o altitude_n of_o the_o water_n be_v on_o the_o day_n of_o the_o new_a or_o full_a moon_n in_o the_o place_n where_o the_o ordinary_a flux_n and_o reflux_n be_v viz._n of_o six_o hour_n with_o twelve_o degree_n to_o determine_v the_o hour_n of_o the_o day_n follow_v after_o the_o new_a moon_n in_o which_o the_o great_a or_o least_o altitude_n shall_v be_v proposition_n see_v the_o forego_n proposition_n we_o have_v say_v in_o the_o forego_n proposition_n that_o the_o time_n of_o the_o great_a increase_n and_o decrease_v if_o we_o have_v respect_n to_o the_o middle_a motion_n of_o the_o moon_n from_o the_o sun_n in_o one_o day_n after_o place_v 48_o ¾_n horary_a minute_n in_o half_a a_o day_n 24_o â…œ_n minute_n if_o therefore_o the_o great_a increase_n in_o any_o place_n happen_v on_o the_o day_n of_o the_o new_a or_o full_a moon_n on_o the_o twelve_o hour_n of_o the_o day_n these_o hour_n of_o increase_n shall_v be_v on_o the_o follow_a day_n the_o age_n of_o â—he_n moon_n the_o hour_n of_o the_o day_n scruple_n 1_o 12_o 48_o 2_o 1_o 37_o 3_o 2_o 27_o 4_o 3_o 17_o 5_o 4_o 5_o 6_o 4_o 55_o 7_o 5_o 59_o 8_o 6_o 49_o 9_o 7_o 23_o 10_o 8_o 12_o 11_o 8_o 56_o 12_o 9_o 51_o 13_o 10_o 40_o 14_o 11_o 29_o 14½_n 12_o mid_a night_n  _fw-fr 15_o 12_o mid_a day_n  _fw-fr viz._n in_o the_o end_n of_o the_o first_o day_n of_o the_o age_n of_o the_o moon_n the_o great_a intumescency_n fall_v out_o late_a by_o 48¼_n horary_a minute_n but_o in_o practice_n it_o be_v sufficient_a to_o add_v to_o the_o hour_n of_o the_o new_a moon_n for_o the_o end_n of_o the_o first_o day_n 48_o minute_n or_o ¼_n of_o a_o hour_n for_o the_o end_n hour_n of_o the_o second_o 1½_n for_o the_o three_o 2½_n for_o the_o four_o 3¼_n for_o the_o five_o 4_o for_o the_o six_o 5_o for_o the_o seven_o 5¼_n for_o the_o eight_o 6¾_n for_o the_o nine_o 7_o for_o the_o ten_o 8¼_n for_o the_o eleven_o 9_o for_o the_o twelve_o 9¼_n for_o the_o thirteen_o 10â…”_n for_o the_o fourteen_o 11½_n for_o the_o fifteen_o 12¼_n this_o supputation_n of_o time_n suppose_v the_o middle_a or_o equal_a motion_n of_o the_o moon_n from_o the_o sun_n which_o notwithstanding_o be_v unequal_a so_o that_o the_o moon_n in_o her_o perigee_n depart_v more_o swift_o from_o the_o sun_n than_o in_o her_o apogee_n and_o therefore_o then_o the_o great_a increase_n be_v long_o protract_v than_o six_o hour_n and_o twelve_o minute_n but_o when_o the_o moon_n be_v in_o the_o apogee_n the_o increase_n be_v more_o quick_a for_o certain_a true_a lunary_n month_n exceed_v 30_o day_n other_o be_v less_o than_o 29_o day_n day_n true_a lunary_n month_n exceed_v 30._o day_n when_o that_o the_o mean_v of_o 29_o day_n twelve_o hour_n 44_o minute_n be_v assume_v but_o in_o place_n where_o the_o great_a or_o least_o altitude_n be_v make_v by_o the_o appulse_n of_o the_o moon_n to_o a_o certain_a vertical_a place_n although_o it_o be_v do_v after_o the_o same_o manner_n yet_o for_o all_o that_o the_o time_n be_v not_o so_o accurate_o discover_v for_o neither_o do_v the_o same_o time_n in_o which_o the_o moon_n be_v join_v to_o the_o sun_n fall_v out_o on_o the_o hour_n of_o the_o day_n or_o the_o same_o moment_n of_o the_o same_o hour_n in_o divers_a new_a moon_n how_o this_o be_v perform_v by_o the_o terrestrial_a globe_n 37._o see_v chap._n 30._o and_o 37._o we_o shall_v show_v in_o the_o xxx_o chapter_n and_o in_o the_o thirty_o seven_o chapter_n we_o shall_v treat_v more_o of_o the_o use_n of_o navigation_n concern_v a_o more_o accurate_a method_n we_o may_v also_o use_v this_o method_n for_o those_o place_n where_o the_o time_n of_o the_o flux_n be_v more_o or_o less_o than_o in_o the_o time_n of_o the_o deflux_n so_o that_o we_o be_v certain_a of_o the_o difference_n the_o consideration_n of_o the_o thing_n itself_o and_o practice_n will_v more_o easy_o teach_v this_o than_o our_o discourse_n proposition_n xxii_o the_o wind_n do_v oftentimes_o protract_v and_o often_o diminish_v the_o time_n of_o the_o flux_n or_o reflux_n in_o some_o place_n neither_o be_v wind_n of_o that_o place_n only_o able_a to_o do_v it_o but_o wind_n blow_v in_o a_o other_o place_n may_v also_o effect_v the_o same_o the_o truth_n of_o the_o proposition_n be_v so_o manifest_a that_o it_o need_v no_o demonstration_n proposition_n xxiii_o great_a be_v the_o variety_n of_o peculiar_a or_o proper_a motion_n of_o the_o sea_n viz._n in_o which_o a_o certain_a part_n of_o the_o ocean_n be_v move_v either_o perpetual_o or_o in_o some_o certain_a month_n senator_n peculiar_a motion_n of_o the_o senator_n the_o first_o of_o those_o peculiar_a motion_n which_o be_v most_o considerable_a be_v that_o motion_n by_o which_o part_n of_o the_o atlantic_a or_o african_a ocean_n about_o guinee_n be_v move_v from_o cape_n verd_fw-mi towards_o the_o bend_n of_o africa_n which_o be_v call_v fernando_n poo_n that_o be_v from_o the_o west_n to_o the_o east_n which_o be_v contrary_a to_o the_o general_a motion_n from_o the_o east_n to_o the_o west_n now_o this_o motion_n be_v vehement_a so_o that_o it_o violent_o toss_v the_o ship_n approach_v to_o the_o shore_n unto_o this_o gulf_n beyond_o the_o imagination_n of_o the_o mariner_n and_o supputation_n of_o their_o voyage_n thence_o it_o come_v to_o pass_v that_o ship_n which_o have_v sail_v in_o two_o day_n from_o the_o coast_n of_o mourrae_n to_o rio_n de_fw-fr benin_n which_o be_v one_o hundred_o mile_n scarce_o in_o six_o or_o seven_o week_n can_v return_v from_o rio_n de_fw-fr benin_n to_o mourrie_v except_o they_o launch_v out_o into_o the_o middle_a sea_n which_o be_v not_o easy_o to_o be_v perform_v see_v that_o the_o sea_n be_v move_v with_o a_o strong_a motion_n to_o the_o north-east_n quarter_n from_o the_o isle_n of_o st._n thomas_n to_o the_o gulf_n of_o fernando_n poo_n carry_v in_o with_o it_o the_o ship_n although_o they_o have_v a_o fair_a north_n east_n wind_n and_o they_o can_v hardly_o get_v from_o that_o coast_n except_o they_o be_v force_v thence_o by_o those_o sudden_a wind_n term_v travado_n which_o sometime_o
a_o fountain_n of_o so_o great_a force_n that_o it_o dissolve_v stone_n near_o unto_o tours_n in_o france_n be_v cave_n to_o be_v see_v term_v common_o les_fw-fr cave_n gouttieres_n from_o the_o roof_n of_o which_o the_o water_n which_o fall_v be_v form_v into_o divers_a shape_n as_o nut_n almond_n and_o the_o like_a the_o hot_a fountain_n of_o japan_n burn_v all_o thing_n and_o devour_v cloth_n iron_z flesh_n etc._n etc._n the_o studious_a may_v collect_v divers_a other_o example_n from_o other_o author_n and_o reduce_v they_o to_o this_o classis_fw-la if_o that_o they_o seem_v not_o possible_a to_o be_v reduce_v to_o any_o of_o the_o former_a the_o cause_n must_v be_v seek_v from_o the_o peculiar_a situation_n and_o property_n of_o each_o place_n proposition_n xviii_o to_o enumerate_v those_o fountain_n which_o break_v forth_o at_o a_o set_a time_n not_o continual_o to_o explain_v the_o cause_n and_o those_o which_o ebb_n and_o flow_v continual_o of_o fountain_n which_o break_v forth_o at_o a_o set_a time_n not_o continual_o this_o proposition_n belong_v not_o to_o this_o chapter_n but_o to_o the_o precede_a yet_o because_o it_o belong_v to_o the_o wonder_n of_o water_n and_o be_v neglect_v in_o the_o former_a chapter_n here_o it_o shall_v be_v explain_v in_o a_o fountain_n situate_v on_o the_o top_n of_o a_o high_a hill_n in_o the_o province_n of_o canaugh_n in_o ireland_n the_o water_n eb_v and_o flow_v every_o day_n with_o the_o flux_n and_o reflux_n of_o the_o sea_n yet_o the_o water_n be_v fresh_a the_o same_o be_v observe_v in_o the_o fountain_n louzara_n which_o be_v in_o the_o mountainous_a place_n of_o galaecia_n call_v cabreti_n 20_o mile_n from_o the_o sea_n also_o in_o aquitain_n in_o the_o village_n marsacus_n be_v a_o fountain_n which_o imitate_v the_o swell_a of_o the_o sea_n and_o swell_v with_o the_o increase_n of_o garumnae_fw-la in_o bordeaux_n elsewhere_o there_o be_v say_v to_o be_v fountain_n which_o augment_v and_o decrease_v contrary_a to_o the_o swell_a of_o the_o sea_n in_o wales_n near_o the_o mouth_n of_o the_o river_n severn_n be_v a_o pool_n call_v linliguna_n which_o swallow_v in_o the_o marine_a flood_n whilst_o that_o they_o arise_v but_o it_o be_v by_o no_o mean_n fill_v with_o the_o same_o and_o the_o flood_n of_o the_o sea_n cease_v than_o it_o rise_v with_o a_o great_a force_n and_o vomit_v out_o the_o water_n with_o which_o it_o cover_v the_o bank_n in_o biscay_n there_o be_v the_o four_o spring_n tamarici_n whereof_o three_o every_o day_n be_v so_o dry_v twelve_o time_n as_o if_o that_o no_o water_n be_v in_o they_o as_o pliny_n report_v but_o i_o question_v whether_o they_o be_v to_o be_v find_v at_o this_o day_n in_o savoy_n be_v a_o fountain_n of_o note_a magnitude_n callen_v wonderful_a which_o sink_v low_a twice_o in_o a_o hour_n and_o twice_o flow_v and_o before_o that_o it_o flow_v and_o do_v break_v forth_o with_o a_o great_a noise_n it_o flow_v into_o the_o lake_n burgites_n in_o the_o mountain_n of_o foix_n in_o languedoc_n rise_v the_o river_n ler_n which_o in_o the_o month_n june_n july_n and_o august_n eb_v and_o flow_v 24_o time_n in_o a_o day_n bertius_n see_v bertius_n in_o a_o region_n of_o westphalia_n call_v paderborn_n be_v a_o fountain_n which_o eb_v and_o flow_v twice_o every_o day_n although_o it_o send_v forth_o so_o much_o water_n that_o not_o far_o from_o the_o fountain_n the_o water_n drive_v four_o water-mill_n and_o it_o break_v forth_o with_o a_o mighty_a noise_n in_o the_o province_n of_o wallis_n in_o germany_n be_v a_o fountain_n call_v the_o fountain_n of_o st._n marry_o it_o cease_v to_o flow_v in_o the_o autumn_n at_o the_o day_n dedicate_v to_o st._n mary_n and_o return_v in_o may._n the_o pool_n or_o lake_n maron_n in_o palestine_n be_v so_o dry_a in_o the_o summer_n and_o bring_v forth_o herb_n and_o shrub_n so_o high_a that_o lion_n wolf_n and_o other_o wild_a beast_n do_v abide_v there_o in_o spain_n two_o mile_n from_o valindolid_n be_v a_o fountain_n which_o arise_v in_o may_n and_o fall_v in_o november_n all_o bath_n flow_v without_o any_o cessation_n or_o change_n except_o those_o that_o be_v in_o rhaetia_n and_o be_v call_v the_o pepper_n bath_n for_o they_o flow_v only_o in_o the_o summer_n from_o the_o three_o of_o may_n to_o the_o fourteen_o of_o september_n than_o they_o cease_v chap._n xviii_o of_o the_o mutation_n of_o the_o place_n of_o the_o water_n and_o land_n or_o of_o the_o mutation_n of_o the_o watery_a superficies_n into_o the_o earthy_a and_o the_o contrary_n proposition_n i._o to_o know_v the_o superficies_n of_o the_o earth_n which_o the_o water_n possess_v how_o great_a it_o be_v and_o that_o which_o the_o earth_n occupi_v possess_v of_o the_o superficies_n of_o the_o earth_n which_o the_o water_n possess_v we_o can_v accurate_o know_v this_o because_o we_o be_v ignorant_a whether_o the_o sea_n or_o land_n do_v possess_v the_o superficies_n of_o the_o north_n or_o south_n polaryland_n moreover_o because_o the_o superficies_n of_o the_o water_n as_o also_o of_o the_o land_n be_v terminate_v on_o the_o globe_n by_o a_o irregular_a bend_n of_o the_o line_n therefore_o it_o will_v be_v a_o very_a difficult_a task_n to_o compute_v the_o quantity_n of_o the_o superficies_n of_o the_o water_n and_o land_n but_o as_o far_o as_o we_o be_v able_a to_o collect_v in_o gross_a from_o the_o inspection_n of_o the_o terrestrial_a globe_n the_o superficies_n of_o the_o water_n and_o land_n seem_v almost_o equal_a so_o that_o the_o superficies_n of_o the_o water_n be_v half_a to_o the_o superficies_n of_o the_o land_n and_o so_o also_o be_v the_o superficies_n of_o the_o land_n proposition_n ii_o the_o superficies_n of_o the_o water_n as_o also_o of_o the_o land_n be_v not_o at_o all_o time_n of_o the_o same_o magnitude_n but_o sometime_o great_a and_o sometime_o lesser_a and_o when_o the_o superficies_n of_o the_o water_n be_v augment_v the_o superficies_n of_o the_o land_n be_v diminish_v for_o the_o sea_n overflow_v sometime_o here_o sometime_o there_o or_o take_v away_o and_o carry_v with_o it_o so_o therefore_o his_o superficies_n be_v augment_v more_o or_o less_o as_o it_o have_v overflow_v a_o great_a or_o less_o tract_n of_o land_n as_o in_o time_n past_o it_o do_v in_o thessaly_n yet_o this_o variety_n as_o far_o as_o it_o be_v yet_o know_v have_v a_o very_a little_a proportion_n unto_o the_o whole_a superficies_n of_o the_o water_n it_o may_v be_v make_v great_a as_o we_o shall_v show_v in_o the_o eighteen_o proposition_n proposition_n iii_o to_o compute_v what_o quantity_n of_o water_n the_o earth_n contain_v and_o what_o quantity_n of_o land_n contain_v of_o the_o quantity_n of_o land_n and_o water_n which_o the_o earth_n contain_v for_o the_o find_n out_o the_o accurate_a and_o true_a quantity_n of_o water_n and_o land_n first_o we_o ought_v to_o know_v both_o the_o whole_a superficies_n of_o the_o water_n as_o also_o its_o depth_n in_o divers_a part_n of_o the_o sea_n also_o the_o subterraneous_a heap_n of_o water_n ought_v to_o be_v examine_v all_o which_o see_v that_o we_o can_v find_v out_o by_o any_o method_n therefore_o we_o can_v find_v out_o the_o accurate_a quantity_n of_o the_o water_n or_o land_n but_o only_o from_o certain_a hypothesis_n viz._n we_o lay_v down_o the_o superficies_n of_o the_o water_n to_o be_v half_o the_o superficies_n of_o the_o earth_n the_o profundity_n to_o be_v quarter_n or_o half_a a_o mile_n neither_o do_v we_o reckon_v the_o water_n in_o subterraneous_a channel_n the_o quantity_n of_o water_n may_v be_v thus_o find_v out_o take_v a_o quarter_n or_o half_o a_o mile_n from_o the_o semidiameter_n of_o the_o earth_n and_o the_o solidity_n of_o the_o sphere_n may_v be_v find_v who_o semidiameter_n be_v equal_a to_o the_o residue_n let_v this_o solidity_n be_v take_v from_o the_o solidity_n of_o the_o earth_n the_o half_a of_o the_o residue_n be_v the_o quantity_n of_o the_o water_n the_o same_o half_n substract_v from_o the_o solidity_n of_o the_o whole_a earth_n leave_v the_o quantity_n of_o the_o earth_n unto_o which_o must_v be_v add_v a_o four_o or_o five_o part_n of_o the_o bulk_n of_o water_n or_o of_o the_o former_a half_n but_o these_o be_v uncertainty_n from_o suppose_a uncertainty_n or_o at_o least_o nigh_o unto_o truth_n proposition_n iu._n the_o water_n may_v leave_v the_o shore_n and_o place_n of_o the_o earth_n which_o it_o do_v occupy_v for_o divers_a cause_n so_o that_o the_o land_n may_v appear_v dry_a where_o the_o water_n or_o sea_n be_v before_o and_o so_o a_o new_a land_n may_v seem_v to_o be_v generate_v water_n a_o sevenfold_o tract_n of_o water_n there_o be_v a_o sevenfold_a tract_n of_o water_n viz._n 1._o the_o ocean_n 2._o gulf_n or_o bay_n of_o the_o ocean_n 3._o
sea_n and_o the_o like_a be_v in_o guzurat_n but_o for_o very_a many_o month_n when_o it_o begin_v to_o blow_v in_o congo_n and_o guzurat_n in_o september_n it_o continue_v even_o to_o march_n the_o anniversary_n wind_n of_o the_o grecian_n which_o they_o call_v ornithia_n or_o the_o bridge_n wind_n this_o they_o say_v blow_v after_o the_o vernal_a aequinox_n the_o sun_n ascend_v to_o the_o vertex_fw-la of_o the_o european_n proposition_n v._o why_o the_o etesian_a wind_n blow_v not_o in_o italy_n france_n germany_n persia_n and_o other_o region_n especial_o see_v that_o they_o be_v more_o near_o the_o northern_a mountain_n from_o whence_o we_o assert_v the_o etesian_a wind_n of_o the_o grecian_n congo_n and_o guzurat_n do_v arise_v and_o blow_v mountain_n the_o etesian_a wind_n blow_v not_o in_o all_o region_n though_o near_o the_o northern_a mountain_n the_o question_n be_v of_o no_o small_a moment_n and_o i_o wish_v that_o we_o have_v more_o accurate_a observation_n concern_v this_o matter_n viz._n the_o notation_n of_o the_o wind_n which_o at_o that_o time_n be_v observe_v in_o each_o region_n whether_o in_o every_o year_n the_o same_o never_o return_v yet_o if_o that_o any_o thing_n must_v be_v say_v to_o the_o question_n these_o seem_v convenient_a 1._o we_o can_v deny_v but_o that_o the_o north_n wind_n often_o blow_v in_o our_o canicular_a or_o dog_n day_n 2._o that_o it_o be_v discover_v less_o continual_a and_o in_o each_o year_n peradventure_o the_o cause_n be_v the_o often_o blow_v of_o other_o wind_n which_o hinder_v the_o discovery_n of_o the_o same_o 3._o we_o may_v say_v that_o the_o mountain_n from_o which_o this_o first_o resolution_n of_o the_o snow_n begin_v be_v situate_v direct_o from_o greece_n and_o therefore_o the_o first_o canicular_a wind_n be_v carry_v hither_o but_o the_o vapour_n be_v carry_v hither_o from_o the_o snow_n of_o the_o other_o mountain_n because_o that_o here_o they_o find_v a_o free_a passage_n make_v but_o i_o shall_v reject_v these_o my_o extemporay_a thought_n when_o that_o i_o shall_v see_v a_o better_a reason_n and_o more_o accurate_a observation_n proposition_n vi_o some_o wind_n be_v proper_a and_o almost_o perpetual_a to_o some_o place_n or_o tract_n of_o land_n other_o be_v cease_v time_n place_n which_o have_v a_o certain_a wind_n at_o a_o fix_a time_n those_o place_n of_o the_o earth_n be_v very_o few_o which_o have_v a_o certain_a wind_n at_o a_o fix_a time_n viz._n these_o 1._o the_o place_n of_o the_o torrid_a zone_n especial_o of_o part_n of_o the_o pacifick_n and_o aethiopick_n sea_n situate_a in_o the_o zone_n enjoy_v a_o perpetual_a wind_n viz._n a_o oriental_a wind_n or_o its_o collateral_a which_o they_o call_v a_o general_n wind_n as_o we_o have_v show_v in_o the_o second_o proposition_n where_o we_o have_v treat_v large_o of_o it_o yea_o this_o wind_n be_v not_o so_o much_o to_o be_v reckon_v among_o the_o proper_a wind_n but_o rather_o to_o be_v determine_v to_o be_v common_a to_o all_o place_n for_o although_o by_o accident_n it_o happen_v that_o it_o be_v not_o discern_v in_o all_o place_n viz._n because_o other_o wind_n blow_v more_o strong_a yet_o it_o be_v proper_a to_o some_o the_o cause_n be_v allege_v in_o the_o place_n cite_v 2._o on_o the_o coast_n of_o peru_n and_o part_n of_o chili_n and_o to_o the_o adjacent_a sea_n the_o south_n wind_n be_v almost_o perpetual_a and_o his_o collateral_a wind_n at_o the_o west_n it_o begin_v at_o the_o 46_o deg_fw-la of_o latitude_n and_o blow_v to_o panama_n the_o american_n isthmus_n and_o cause_v that_o in_o few_o day_n ship_n arrive_v from_o lima_n at_o panama_n lade_v with_o gold_n silver_n etc._n etc._n but_o it_o require_v many_o day_n sail_n from_o panama_n to_o lima._n but_o this_o wind_n blow_v not_o in_o the_o sea_n remote_a from_o the_o coast_n of_o peru_n it_o be_v difficult_a to_o render_v the_o cause_n of_o this_o wind_n by_o reason_n that_o the_o south_n land_n from_o whence_o it_o seem_v to_o blow_v be_v not_o yet_o know_v unto_o we_o yet_o i_o think_v it_o probable_a that_o because_o that_o mountain_n be_v find_v in_o it_o cover_v with_o perpetual_a snow_n therefore_o the_o wind_n be_v generate_v from_o a_o continual_a resolution_n of_o they_o but_o i_o will_v not_o infect_v the_o mind_n of_o the_o reader_n with_o these_o my_o suspicion_n or_o conjecture_n for_o peradventure_o the_o snow_n which_o be_v find_v all_o the_o year_n long_o in_o the_o high_a mountain_n at_o the_o strait_n of_o magellan_n be_v the_o cause_n of_o these_o wind_n but_o yet_o it_o may_v be_v object_v that_o those_o mountain_n lie_v from_o the_o south_n towards_o the_o west_n decline_v from_o the_o south_n wherefore_o we_o shall_v leave_v this_o to_o a_o more_o diligent_a inquisition_n or_o a_o more_o full_a knowledge_n of_o the_o south_n continent_n 3._o at_o the_o coast_n of_o the_o land_n of_o magellan_n or_o del_n fugo_n about_o the_o straight_a le_fw-fr mair_n continual_a or_o at_o least_o very_a frequent_a western_o wind_n do_v blow_n and_o that_o with_o that_o force_n that_o they_o make_v the_o tree_n to_o bend_v towards_o the_o east_n from_o their_o perpendicular_a rectitude_n neither_o be_v there_o any_o part_n of_o the_o earth_n in_o which_o those_o occidental_a wind_n so_o often_o blow_v but_o on_o the_o other_o part_n of_o the_o strait_n le_fw-fr mair_n at_o the_o coast_n of_o the_o south_n land_n the_o south_n wind_n blow_v i_o can_v render_v no_o other_o cause_n of_o those_o occidental_a wind_n but_o that_o i_o suppose_v they_o to_o be_v raise_v from_o snow_n and_o cloud_n in_o the_o south_n continent_n which_o extend_v itself_o from_o the_o side_n of_o that_o occidental_a streight_n from_o the_o south_n towards_o the_o north._n but_o these_o be_v doubtful_a and_o more_o diligent_o to_o be_v inquire_v after_o 4._o on_o the_o malabarian_a coast_n of_o india_n for_o almost_o the_o whole_a year_n the_o north_n and_o north-east_n wind_n blow_v the_o cause_n proceed_v from_o the_o resolution_n of_o the_o snow_n of_o the_o mountain_n of_o the_o asiatic_a sarmatia_n viz._n imaus_n or_o caucasus_n from_o the_o cloud_n on_o the_o other_o mountain_n of_o asia_n which_o be_v collect_v and_o press_v the_o subject_n air._n 5._o in_o the_o sea_n near_o to_o guinea_n the_o north_n west_n wind_n be_v frequent_a and_o in_o the_o remote_a sea_n the_o north_n east_n 6._o in_o the_o middle_a passage_n between_o japan_n and_o liampo_n a_o maritimate_a city_n of_o china_n even_o unto_o these_o be_v find_v occidental_a wind_n which_o blow_n in_o japan_n in_o november_n and_o december_n 7._o at_o the_o isle_n guotou_n not_o far_o from_o the_o isle_n do_v cavallos_n in_o the_o sea_n of_o china_n be_v a_o frequent_a south_n wind_n when_o that_o yet_o in_o the_o neighbour_a ocean_n a_o north_n wind_n be_v predominate_v proposition_n vii_o unto_o these_o periodical_a or_o state_a wind_n appertain_v those_o also_o that_o be_v term_v day_n wind_n which_o in_o some_o region_n and_o at_o a_o certain_a time_n of_o the_o year_n blow_v for_o some_o hour_n every_o day_n call_v of_o day_n wind_n so_o call_v now_o they_o be_v find_v to_o be_v twofold_a and_o that_o only_a in_o some_o maritimate_a place_n for_o some_o blow_n from_o mediterranean_a place_n to_o the_o shore_n towards_o the_o sea_n and_o other_o on_o the_o contrary_a from_o the_o sea_n to_o the_o shore_n 1._o on_o the_o malabarian_a coast_n in_o the_o summer_n season_n viz._n from_o september_n to_o april_n the_o terrestrial_a wind_n or_o terrinhos_n do_v blow_n from_o the_o twelve_o hour_n of_o the_o night_n to_o the_o twelve_o hour_n of_o the_o day_n now_o these_o wind_n be_v eastern_a wind_n but_o from_o the_o twelve_o hour_n of_o the_o day_n to_o the_o twelve_o hour_n of_o the_o night_n the_o sea_n wind_n or_o viraconus_n to_o wit_n the_o west_n wind_n blow_v but_o this_o be_v very_o weak_a so_o that_o by_o its_o assistance_n the_o ship_n can_v hardly_o arrive_v at_o the_o shoar_n i_o suppose_v the_o cause_n of_o those_o oriental_a wind_n from_o twelve_o at_o night_n to_o twelve_o in_o the_o day_n partly_o to_o be_v a_o general_a wind_n and_o partly_o cloud_n on_o the_o mountain_n gatis_n but_o the_o cause_n of_o the_o occidental_a wind_n that_o blow_n from_o twelve_o in_o the_o day_n to_o twelve_o at_o night_n be_v the_o resolution_n of_o thick_a cloud_n cause_v by_o the_o set_n of_o the_o sun_n which_o cloud_n before_o by_o the_o oriental_a wind_n be_v force_v towards_o the_o west_n out_o of_o those_o name_v month_n the_o north_n wind_n predominate_v also_o the_o east_n and_o north-east_n neither_o by_o reason_n of_o the_o often_o tempest_n be_v these_o terrestrial_a and_o marine_a wind_n discern_v 2._o in_o musulipatan_n a_o city_n on_o the_o coast_n of_o charomandel_n these_o terrinhos_n begin_v to_o blow_v
indian_n orancan_n it_o be_v often_o in_o the_o oriental_a sea_n especial_o in_o the_o sea_n of_o sian_n china_n and_o japan_n between_o malacca_n and_o japan_n this_o violent_o break_v almost_o from_o the_o western_a quarter_n and_o be_v whirl_v about_o the_o horizon_n with_o a_o rapid_a course_n perfect_v its_o circumference_n by_o continual_a increase_n in_o the_o space_n of_o twenty_o hour_n raise_v those_o vast_a sea_n with_o a_o horrid_a violence_n and_o swell_n the_o billow_n beat_v one_o another_o take_v away_o all_o hope_n of_o safety_n from_o the_o mariner_n and_o so_o both_o by_o reason_n of_o these_o typhon_n and_o also_o other_o storm_n sail_v from_o india_n to_o japan_n be_v very_o dangerous_a so_o that_o it_o be_v account_v a_o happy_a voyage_n if_o that_o one_o ship_n of_o three_o keep_v its_o course_n at_o the_o autumnal_a season_n a_o most_o furious_a typhon_n do_v especial_o predominate_a and_o that_o often_o with_o so_o great_a violence_n that_o those_o that_o have_v not_o see_v it_o can_v hardly_o believe_v it_o so_o that_o it_o be_v no_o wonder_n that_o some_o mighty_a ship_n have_v be_v weaken_v by_o those_o great_a wave_n you_o will_v think_v in_o this_o storm_n that_o heaven_n and_o earth_n will_v meet_v neither_o do_v it_o only_a rage_n on_o the_o sea_n but_o also_o on_o the_o shore_n and_o overwhelm_v many_o house_n and_o throw_v up_o huge_a tree_n by_o the_o root_n and_o force_v great_a ship_n from_o the_o sea_n on_o the_o land_n for_o about_o a_o quarter_n of_o a_o mile_n the_o mariner_n term_v it_o a_o wind_n that_o run_v round_o the_o compass_n in_o the_o indian_a ocean_n it_o seldom_o continue_v above_o six_o hour_n and_o make_v the_o sea_n so_o level_a at_o the_o first_o as_o if_o that_o it_o be_v plain_v but_o on_o a_o sudden_a horrible_a wave_n do_v follow_v so_o about_o the_o city_n ardibil_n in_o persia_n in_o june_n and_o july_n every_o day_n when_o that_o the_o sun_n be_v at_o his_o meridian_n height_n a_o whirlwind_n arise_v for_o a_o hour_n by_o which_o a_o great_a dust_n be_v raise_v questionless_a the_o cause_n of_o a_o typhon_n be_v that_o a_o wind_n break_v forth_o with_o violence_n from_o some_o one_o quarter_n towards_o another_o findeth_z a_o obstruction_n in_o this_o and_o therefore_o be_v wreathe_v and_o turn_v into_o itself_o as_o we_o see_v that_o if_o water_n be_v sudden_o move_v if_o that_o a_o obstacle_n be_v put_v in_o its_o way_n it_o move_v in_o a_o round_a sudden_o and_o with_o a_o force_n it_o may_v be_v that_o a_o typhon_n may_v arise_v from_o opposite_a wind_n blow_v together_o violent_o which_o render_v the_o superficies_n of_o the_o sea_n so_o plain_a and_o comprehend_v the_o ship_n in_o the_o middle_n if_o that_o it_o rush_v from_o above_o it_o be_v call_v caetegis_n and_o then_o it_o make_v the_o sea_n so_o plain_a as_o if_o that_o it_o have_v be_v plain_v but_o present_o mighty_a flood_n or_o wave_n arise_v proposition_n xiii_o whether_o that_o some_o wind_n break_v forth_o from_o the_o earth_n or_o water_n water_n of_o wind_n break_v forth_o from_o the_o earth_n or_o water_n we_o easy_o apprehend_v that_o this_o may_v easy_o be_v see_v that_o cavity_n be_v here_o and_o also_o wind_n sulphureous_a substance_n and_o moisture_n now_o nothing_o hinder_v but_o that_o a_o gust_n sufficient_o vehement_a may_v be_v there_o generate_v viz._n if_o that_o it_o be_v any_o thing_n hinder_v as_o it_o be_v procreate_v to_o go_v forth_o or_o if_o that_o it_o be_v present_o generate_v in_o a_o great_a quantity_n as_o much_o as_o the_o wind_n require_v if_o that_o the_o outlet_n be_v hinder_v a_o earthquake_n be_v generate_v or_o a_o wind_n with_o a_o violent_a force_n make_v weigh_v for_o itself_o and_o thrust_v forward_o the_o earth_n so_o oftentimes_o a_o smoke_n break_v forth_o from_o the_o earth_n in_o the_o isle_n of_o maarice_n so_o also_o from_o some_o cave_n in_o japan_n be_v a_o fountain_n break_v forth_o at_o certain_a hour_n of_o the_o day_n with_o great_a noise_n yet_o i_o do_v not_o remember_v that_o i_o have_v read_v of_o any_o wind_n break_v forth_o out_o of_o the_o sea_n proposition_n fourteen_o whether_o that_o a_o certain_a wind_n may_v arise_v from_o the_o flow_n of_o the_o sea_n and_o of_o the_o river_n rivers_n of_o a_o wind_n that_o flow_v from_o the_o sea_n and_o rivers_n experience_a testify_v that_o in_o those_o place_n where_o the_o flux_n and_o reflux_n of_o the_o sea_n be_v discover_v if_o at_o any_o time_n the_o air_n be_v free_a from_o other_o wind_n from_o the_o most_o part_n with_o the_o water_n flow_v from_o the_o sea_n a_o wind_n also_o blow_v from_o the_o sea_n therefore_o it_o seem_v probable_a that_o the_o air_n by_o reason_n of_o the_o contiguity_n be_v carry_v with_o the_o water_n to_o the_o same_o quarter_n but_o this_o shall_v be_v more_o diligent_o observe_v whether_o when_o that_o the_o air_n be_v still_o the_o same_o wind_n be_v discover_v with_o the_o afflux_n of_o the_o sea_n i_o think_v yet_o that_o another_o cause_n of_o this_o wind_n may_v be_v give_v viz._n that_o the_o air_n be_v force_v from_o the_o place_n by_o the_o flow_a water_n now_o the_o air_n be_v much_o move_v at_o a_o very_a little_a impression_n so_o they_o will_v have_v the_o air_n move_v with_o the_o river_n that_o run_v swift_o proposition_n xv._o why_o ignes_fw-la fatui_fw-la castor_n and_o pollux_n and_o helena_n be_v among_o tempest_n the_o portugal_n call_v they_o corpo_fw-it santo_n the_o spaniard_n st._n elmo_n now_o not_o only_o one_o but_o many_o be_v oftentimes_o behold_v in_o ship_n at_o the_o mast_n wander_v with_o a_o uncertain_a motion_n as_o other_o ignes_fw-la fatui_fw-la although_o that_o sometime_o they_o may_v seem_v to_o fix_v on_o the_o sail_n and_o mast_n but_o sometime_o leap_v up_o and_o down_o they_o appear_v like_o a_o flame_n or_o a_o candle_n burn_v obscure_o if_o that_o four_o such_o vicine_fw-la light_n be_v see_v the_o portugal_n term_v they_o cora_n de_fw-fr nostra_fw-la seneora_n the_o crown_n of_o our_o bless_a lady_n or_o virgin_n mary_n and_o these_o they_o account_v of_o as_o a_o most_o certain_a sign_n of_o the_o tempest_n to_o cease_v the_o cause_n of_o those_o fire_n be_v a_o sulphureous_a part_n full_a of_o bitumen_n force_v downward_o through_o that_o great_a motion_n of_o the_o air_n and_o force_v or_o fire_v into_o one_o by_o agitation_n or_o congregation_n so_o we_o see_v by_o agitation_n that_o the_o butter_n of_o milk_n be_v separate_v from_o this_o phaenomenon_n be_v also_o collect_v that_o for_o the_o most_o part_n those_o violent_a tempest_n proceed_v from_o a_o sulphureous_a spirit_n rarefy_v and_o move_v the_o cloud_n proposition_n xvi_o why_o there_o be_v so_o frequent_a a_o calm_a in_o the_o sea_n near_o guinee_n and_o under_o the_o aequator_fw-la in_o the_o atlantic_a ocean_n between_o america_n and_o africa_n ocean_n frequent_a '_o calm_v in_o the_o atlantic_a ocean_n this_o be_v one_o of_o the_o phaenomenon_n about_o wind_n of_o no_o small_a difficulty_n that_o at_o guinee_n which_o be_v two_o degree_n from_o the_o aequator_fw-la and_o under_o the_o aequator_fw-la be_v almost_o a_o perpetual_a calm_a especial_o in_o april_n may_n and_o june_n where_o no_o motion_n be_v find_v there_o when_o that_o no_o such_o thing_n be_v observe_v in_o other_o part_n of_o the_o ocean_n situate_a under_o the_o aequator_fw-la indeed_o a_o ecnephias_n be_v sometime_o sufficient_o frequent_v there_o but_o this_o also_o be_v desire_v oftentimes_o by_o the_o seaman_n because_o that_o by_o the_o force_n of_o frequent_a ecnephiae_fw-la they_o endeavour_v to_o sail_v beyond_o the_o aequator_fw-la for_o it_o happen_v very_o often_o that_o ship_n sail_v from_o europe_n to_o india_n be_v detain_v a_o whole_a month_n at_o the_o aequator_fw-la before_o that_o they_o can_v pass_v it_o now_o especial_o they_o avoid_v the_o coast_n of_o guinee_n and_o the_o calm_a there_o and_o therefore_o with_o some_o hindrance_n to_o their_o voyage_n they_o sail_v towards_o brazil_n yea_o some_o ship_n be_v detain_v here_o for_o three_o month_n before_o that_o they_o can_v depart_v from_o the_o coast_n into_o the_o mid-sea_n i_o have_v not_o yet_o find_v out_o the_o cause_n of_o the_o phaenomenon_n unless_o perchance_o this_o be_v it_o that_o snow_n be_v find_v intercept_v in_o no_o mountain_n of_o africa_n between_o guinee_n and_o barbary_n which_o may_v generate_v the_o wind_n proposition_n xvii_o in_o some_o region_n the_o tempest_n be_v anniversary_n region_n of_o tempest_n anniversary_n in_o some_o region_n we_o have_v give_v some_o example_n of_o these_o in_o our_o former_a proposition_n viz._n 1._o concern_v the_o mutation_n of_o motion_n 2._o concern_v our_o ecnephias_n 3._o concern_v a_o typhon_n 4._o at_o the_o promontory_n of_o good-hope_a in_o june_n and_o july_n 5._o in_o the_o isle_n
this_o his_o entrance_n do_v not_o happen_v on_o the_o 21th_o of_o every_o month_n but_o in_o some_o month_n before_o and_o in_o some_o after_o therefore_o when_o we_o desire_v to_o know_v the_o precise_a place_n of_o the_o sun_n we_o must_v look_v for_o it_o in_o a_o ephemerides_n or_o in_o our_o almanac_n the_o place_n of_o the_o sun_n be_v find_v also_o in_o the_o wooden_a horizon_n of_o the_o artificial_a globe_n for_o every_o day_n of_o the_o year_n when_o one_o may_v search_v when_o the_o globe_n be_v at_o hand_n for_o it_o be_v a_o grand_a fault_n in_o a_o learned_a or_o know_a person_n to_o be_v ignorant_a of_o the_o motion_n of_o the_o sun_n see_v that_o from_o thence_o all_o the_o season_n of_o the_o year_n also_o the_o day_n and_o night_n with_o many_o other_o thing_n do_v depend_v of_o all_o which_o there_o be_v great_a use_n in_o the_o life_n of_o man_n chap._n xxiii_o of_o the_o latitude_n of_o place_n and_o the_o elevation_n of_o the_o pole_n proposition_n i._o the_o latitude_n of_o a_o place_n in_o the_o superficies_n of_o the_o earth_n be_v the_o distance_n of_o the_o same_o from_o the_o aequator_fw-la earth_n of_o the_o latitude_n of_o the_o earth_n now_o a_o perpendicular_a line_n or_o arch_n draw_v from_o the_o place_n give_v to_o the_o aequator_fw-la measure_v this_o distance_n and_o by_o reason_n that_o the_o meridian_n of_o every_o place_n be_v perpendicular_a to_o the_o aequator_fw-la therefore_o the_o latitude_n of_o the_o place_n be_v the_o arch_n of_o the_o meridian_n of_o that_o place_n intercept_v between_o the_o place_n and_o the_o aequator_fw-la earth_n the_o longitude_n of_o the_o earth_n this_o be_v term_v the_o latitude_n of_o the_o earth_n who_o extension_n be_v in_o the_o superficies_n from_o one_o pole_n to_o the_o other_o as_o the_o longitude_n of_o the_o earth_n be_v the_o extension_n of_o the_o same_o return_v from_o the_o west_n by_o the_o east_n unto_o the_o west_n which_o be_v the_o same_o with_o the_o aequinoctial_a line_n proposition_n ii_o the_o elevation_n of_o the_o pole_n of_o any_o place_n or_o above_o the_o horizon_n of_o any_o place_n be_v call_v the_o arch_n of_o the_o celestial_a meridian_n of_o that_o place_n intercept_v between_o one_o or_o other_o celestial_a pole_n and_o the_o horizon_n of_o that_o place_n pole_n elevation_n of_o the_o pole_n it_o may_v also_o be_v say_v to_o be_v the_o arch_n of_o the_o terrestrial_a meridian_n intercept_v between_o one_o or_o other_o of_o the_o pole_n of_o the_o earth_n and_o the_o horizon_n for_o by_o this_o mode_n it_o may_v be_v more_o just_o desire_v if_o that_o the_o earth_n cause_n the_o first_o motion_n but_o astronomer_n for_o the_o most_o part_n apply_v the_o definition_n to_o the_o imaginary_a celestial_a pole_n proposition_n iii_o to_o find_v the_o latitude_n of_o a_o place_n give_v in_o the_o superficies_n of_o the_o globe_n of_o the_o earth_n in_o degree_n and_o minute_n if_o that_o the_o globe_n be_v great_a the_o same_o latitude_n in_o geographical_a map_n map_n for_o the_o find_v the_o latitude_n of_o a_o place_n by_o a_o globe_n or_o by_o map_n in_o a_o globe_n let_v the_o place_n give_v be_v bring_v to_o the_o meridian_n and_o let_v the_o degree_n be_v number_v from_o the_o aequator_fw-la to_o the_o place_n they_o shall_v be_v the_o seek_v for_o latitude_n of_o the_o place_n in_o geographical_a map_n if_o the_o map_n consist_v of_o right_a line_n let_v a_o right_a line_n be_v draw_v through_o the_o place_n give_v parallel_n to_o the_o aequator_fw-la except_o it_o be_v already_o draw_v in_o the_o map_n or_o let_v a_o rule_n only_o be_v apply_v to_o the_o place_n so_o that_o it_o be_v parallel_n to_o the_o aequator_fw-la and_o so_o the_o bound_n of_o this_o line_n in_o the_o side-line_n of_o the_o map_n will_v show_v the_o latitude_n of_o the_o place_n but_o if_o the_o map_n be_v of_o crooked_a line_n so_o that_o no_o parallel_n can_v pass_v through_o by_o the_o place_n give_v one_o foot_n of_o the_o compass_n shall_v be_v place_v in_o the_o pole_n of_o the_o map_n and_o the_o other_o foot_n in_o the_o place_n give_v and_o in_o this_o space_n the_o parallel_n of_o the_o place_n to_o be_v describe_v in_o the_o side-line_n again_o will_v show_v the_o latitude_n of_o the_o place_n if_o that_o the_o parallel_n be_v describe_v from_o the_o pole_n also_o the_o distance_n of_o the_o place_n from_o the_o pole_n may_v be_v find_v out_o proposition_n iu._n the_o place_n be_v give_v in_o the_o superficies_n of_o the_o globe_n so_o to_o constitute_v the_o globe_n that_o the_o wooden_a horizon_n may_v be_v the_o horizon_n of_o that_o place_n let_v the_o place_n give_v be_v bring_v to_o the_o meridian_n and_o let_v 90_o degree_n be_v number_v from_o it_o towards_o the_o adjoin_a pole_n in_o the_o meridian_n let_v the_o term_n of_o the_o numeration_n be_v place_v in_o the_o crena_n of_o the_o horizon_n so_o the_o wooden_a horizon_n shall_v be_v the_o horizon_n of_o the_o place_n propose_v nevertheless_o in_o the_o corollary_n of_o the_o follow_a proposition_n we_o shall_v show_v a_o easy_a method_n of_o perform_v the_o fame_n proposition_n v._o the_o latitude_n of_o the_o place_n be_v equal_a to_o the_o altitude_n or_o elevation_n of_o the_o pole_n above_o the_o horizon_n of_o that_o place_n this_o be_v show_v by_o the_o globe_n thus_o take_v a_o place_n as_o you_o please_v in_o the_o superficies_n of_o the_o globe_n then_o so_o place_v the_o globe_n that_o the_o wooden_a horizon_n may_v be_v the_o horizon_n of_o the_o place_n now_o let_v the_o degree_n of_o latitude_n of_o the_o place_n and_o the_o elevation_n of_o the_o pole_n be_v number_v and_o they_o will_v be_v find_v equal_a scheme_n the_o theory_v show_v by_o a_o mathematical_a demonstration_n see_v scheme_n the_o theorem_fw-la be_v thus_o show_v by_o a_o mathematical_a demonstration_n let_v c_o be_v the_o centre_n of_o the_o earth_n l_o and_z place_n in_o the_o superficies_n p_o the_o pole_n h_n p_o l_o z_o shall_v be_v the_o meridian_n and_o h_n z_o the_o diameter_n of_o the_o horizon_n p_o h_n the_o elevation_n of_o the_o pole_n qui_fw-fr t_o the_o diameter_n of_o the_o aequator_fw-la or_o the_o section_n of_o the_o meridian_n and_o the_o aequator_fw-la and_o p_o q_n shall_v be_v the_o quadrant_n of_o the_o meridian_n or_o of_o 90_o degree_n because_o that_o p_o be_v the_o pole_n of_o the_o aequator_fw-la for_o the_o former_a reason_n l_o h_n shall_v be_v the_o arch_n of_o 90_o degree_n because_o l_o be_v the_o pole_n of_o the_o horizon_n therefore_o l_o h_n be_v the_o arch_n of_o a_o equal_a arch_n p_o qui_fw-fr and_o the_o common_a part_n l_o p_o being_n take_v away_o the_o remainder_n of_o the_o arch_n p_o h_o l_o q_o will_v be_v equal_a the_o latitude_n of_o any_o place_n be_v know_v you_o have_v also_o the_o elevation_n of_o the_o pole_n for_o the_o same_o place_n now_o the_o distance_n of_o a_o place_n from_o the_o pole_n and_o the_o distance_n from_o the_o aequator_fw-la join_v together_o make_v 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shall_v be_v place_v on_o the_o meridian_n line_n of_o the_o plain_a and_o so_o the_o map_n shall_v have_v its_o require_a situation_n proposition_n ix_o to_o find_v the_o latitude_n of_o the_o place_n from_o the_o heaven_n or_o the_o elevation_n of_o the_o pole_n above_o the_o horizon_n of_o any_o place_n by_o the_o benefit_n of_o the_o star_n star_n to_o find_v the_o latitude_n of_o a_o place_n above_o the_o horizon_n by_o the_o star_n although_o the_o latitude_n of_o a_o place_n exist_v in_o the_o superficies_n of_o the_o earth_n viz._n its_o distance_n from_o the_o aequator_fw-la yet_o it_o can_v be_v find_v without_o the_o star_n the_o mode_n of_o find_v the_o same_o be_v various_a first_o let_v the_o altitude_n of_o the_o sun_n above_o the_o horizon_n be_v observe_v when_o he_o come_v to_o the_o meridian_n line_n and_o let_v its_o compliment_n or_o distance_n from_o the_o vertex_fw-la of_o the_o sun_n be_v take_v for_o this_o take_v away_o the_o declination_n of_o the_o sun_n 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star_n from_o our_o vertex_fw-la the_o remain_a number_n shall_v be_v the_o latitude_n of_o the_o place_n if_o that_o the_o declination_n be_v northern_a and_o the_o star_n be_v seat_v between_o the_o pole_n star_n and_o the_o proximate_a part_n of_o the_o horizon_n the_o compliment_n of_o the_o declination_n shall_v be_v add_v to_o the_o find_v out_o latitude_n of_o the_o star_n the_o aggregate_v number_n shall_v give_v the_o latitude_n of_o the_o place_n or_o the_o elevation_n of_o the_o pole_n if_o the_o declination_n shall_v be_v northern_a and_o the_o star_n be_v place_v between_o our_o vertex_fw-la and_o that_o part_n of_o the_o horizon_n remote_a from_o the_o polary_a star_n that_o declination_n shall_v be_v add_v to_o the_o distance_n of_o the_o star_n from_o the_o vertex_fw-la or_o to_o the_o compliment_n of_o the_o altitude_n the_o aggregated_a number_n shall_v be_v the_o latitude_n of_o the_o place_n final_o if_o that_o the_o declination_n of_o the_o star_n be_v southern_a this_o must_v be_v deduct_v from_o the_o compliment_n of_o the_o altitude_n observe_v and_o the_o remain_a number_n will_v show_v the_o latitude_n of_o the_o place_n neither_o in_o this_o casualty_n do_v any_o variety_n occur_v as_o in_o the_o star_n of_o the_o northern_a declination_n which_o be_v to_o be_v understand_v of_o the_o place_n situate_v between_o the_o aequator_fw-la and_o the_o north_n pole_n for_o it_o be_v otherwise_o with_o the_o place_n which_o lie_v between_o the_o aequator_fw-la and_o the_o south_n pole_n five_o if_o the_o plaga_fw-la or_o part_n be_v observe_v in_o which_o any_o star_n rise_v or_o set_v the_o latitude_n of_o that_o place_n may_v be_v find_v by_o the_o benefit_n of_o the_o celestial_a globe_n according_a to_o what_o we_o have_v say_v in_o the_o three_o mode_n six_o if_o that_o you_o have_v not_o a_o table_n of_o the_o declination_n of_o the_o star_n at_o hand_n you_o may_v obtain_v the_o thing_n require_v if_o that_o you_o observe_v some_o star_n not_o set_v viz._n such_o a_o one_o which_o in_o its_o whole_a circumrotation_n be_v remain_v above_o the_o horizon_n for_o those_o star_n come_v twice_o to_o the_o meridian_n and_o therefore_o their_o meridian_n altitude_n be_v twofold_a one_o great_a and_o the_o other_o less_o both_o these_o must_v be_v observe_v and_o the_o half_a difference_n must_v be_v add_v to_o the_o lesser_a altitude_n or_o take_v from_o the_o great_a so_o we_o shall_v obtain_v the_o latitude_n of_o the_o place_n seven_o if_o we_o inquire_v not_o after_o a_o accurate_a latitude_n of_o a_o place_n but_o will_v be_v content_v with_o one_o not_o much_o recede_a from_o the_o true_a we_o must_v take_v the_o altitude_n of_o the_o polary_a star_n when_o that_o it_o have_v far_o
zone_n in_o the_o cold_a northern_a zone_n lie_v part_n of_o izland_n the_o utmost_a part_n of_o norway_n and_o lapland_n finmarch_n samojeda_n nova_n zembla_n groenland_n spitsberga_n and_o some_o part_n of_o america_n septentrionalis_n not_o yet_o discover_v in_o the_o cold_a southern_a zone_n what_o it_o be_v whether_o land_n or_o water_n be_v unknown_a what_o we_o have_v speak_v on_o hitherto_o be_v show_v by_o the_o globe_n and_o by_o the_o map_n but_o they_o be_v prove_v by_o the_o table_n of_o the_o latitude_n of_o place_n which_o be_v make_v by_o observation_n proposition_n iv_o in_o the_o place_n which_o lie_v in_o the_o tropic_n the_o sun_n once_o in_o every_o year_n be_v only_o vertical_a in_o the_o meridies_n or_o noonstead_n but_o in_o place_n lie_v under_o the_o torrid_a zone_n he_o be_v vertical_a twice_o a_o year_n viz._n two_o day_n which_o be_v equal_o distant_a from_o the_o long_a day_n but_o in_o place_n without_o the_o torrid_a zone_n and_o situate_v without_o 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the_o arctic_a or_o antarctic_a circle_n the_o sun_n set_v not_o one_o only_a day_n in_o the_o year_n and_o one_o day_n arise_v not_o but_o other_o day_n it_o set_v and_o rise_v zone_n the_o rise_n and_o set_v of_o the_o sun_n in_o place_n seat_v in_o the_o frigid_a zone_n take_v any_o place_n you_o please_v of_o the_o frigid_a zone_n in_o the_o globe_n and_o let_v the_o pole_n be_v so_o elevate_v as_o the_o latitude_n of_o the_o place_n require_v or_o that_o the_o wooden_a horizon_n may_v become_v the_o horizon_n of_o the_o place_n as_o in_o the_o precede_a chapter_n then_o let_v a_o point_a chalk_n be_v apply_v to_o the_o crena_n of_o the_o horizon_n which_o be_v more_o nigh_o the_o pole_n elevate_v and_o let_v the_o globe_n be_v turn_v round_o so_o that_o the_o chalk_n may_v mark_v some_o parallel_n of_o the_o aequator_fw-la this_o parallel_n shall_v cut_v the_o ecliptic_a in_o two_o point_n which_o shall_v be_v equal_o distant_a from_o the_o first_o degree_n of_o cancer_n and_o 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elevate_v to_o 66_o degree_n 30_o minute_n so_o the_o wooden_a horizon_n shall_v be_v the_o horizon_n of_o any_o place_n lie_v under_o the_o arctic_a circle_n and_o it_o will_v be_v manifest_a that_o the_o tropic_a of_o cancer_n set_v not_o and_o the_o tropic_a of_o capricorn_n arise_v not_o but_o that_o they_o touch_v the_o horizon_n therefore_o the_o sun_n in_o the_o first_o degree_n of_o cancer_n set_v not_o and_o in_o the_o first_o degree_n of_o capricorn_n arise_v not_o but_o on_o both_o day_n radiate_v the_o horizon_n but_o in_o other_o degree_n of_o the_o ecliptic_a it_o will_v arise_v and_o set_v which_o may_v be_v discern_v by_o the_o oriental_a and_o occidental_a point_n of_o the_o ecliptic_a proposition_n vi_o in_o place_n seat_v without_o the_o frigid_a zone_n that_o be_v in_o the_o temperate_a or_o torrid_a zone_n the_o sun_n every_o day_n rise_v and_o set_v day_n in_o place_n without_o the_o frigid_a zone_n the_o sun_n rise_v and_o seat_v every_o day_n take_v any_o 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pass_v through_o this_o note_a point_n of_o the_o meridian_n let_v these_o two_o point_n be_v note_v for_o they_o be_v those_o in_o which_o when_o the_o sun_n be_v he_o be_v vertical_a to_o the_o place_n give_v let_v also_o the_o day_n of_o the_o year_n be_v find_v in_o which_o the_o sun_n occupi_v those_o point_n of_o the_o ecliptic_a which_o may_v be_v do_v either_o in_o the_o wooden_a horizon_n or_o from_o a_o table_n or_o by_o the_o method_n of_o the_o 22th_o chapter_n those_o will_v be_v the_o seek_v for_o day_n whereof_o one_o will_v be_v before_o the_o solstice_n the_o other_o after_o it_o in_o which_o the_o sun_n be_v vertical_a to_o that_o place_n when_o he_o come_v to_o the_o meridian_n this_o problem_n be_v also_o easy_o resolve_v in_o universal_a
map_n for_o if_o a_o parallel_n line_n be_v draw_v through_o the_o place_n give_v to_o the_o aequator_fw-la right_a or_o circular_a from_o the_o pole_n of_o the_o map_n in_o crooked_a line_n this_o be_v draw_v will_v cut_v the_o ecliptic_a in_o two_o point_n from_o which_o the_o day_n of_o the_o year_n will_v be_v manifest_a but_o if_o you_o require_v the_o resolution_n of_o the_o problem_n on_o a_o globe_n or_o on_o map_n you_o ought_v to_o know_v the_o latitude_n of_o the_o place_n with_o this_o enter_v the_o table_n of_o the_o declination_n place_v in_o the_o 22th_o chapter_n and_o except_o the_o day_n in_o which_o the_o sun_n have_v such_o a_o declination_n they_o shall_v be_v the_o day_n require_v proposition_n viii_o a_o place_n be_v give_v seat_v in_o the_o frigid_a zone_n to_o show_v those_o day_n in_o which_o the_o sun_n do_v not_o set_v to_o that_o place_n and_o in_o what_o day_n he_o rise_v not_o also_o the_o first_o and_o last_o of_o those_o day_n in_o which_o he_o set_v not_o to_o that_o place_n or_o in_o which_o he_o rise_v not_o to_o the_o same_o zone_n of_o the_o rise_n and_o set_v of_o the_o sun_n in_o the_o place_n seat_v in_o the_o frigid_a zone_n in_o the_o globe_n let_v the_o place_n give_v be_v bring_v to_o the_o meridian_n and_o let_v the_o pole_n be_v elevate_v for_o the_o latitude_n of_o the_o place_n then_o turn_v the_o globe_n round_o let_v the_o point_n of_o the_o ecliptic_a which_o set_v not_o be_v mark_v in_o the_o crena_n of_o the_o horizon_n and_o in_o the_o other_o crena_n those_o that_o do_v not_o arise_v therefore_o that_o degree_n which_o be_v between_o the_o first_o degree_n of_o aries_n and_o the_o first_o of_o cancer_n will_v show_v the_o first_o day_n in_o which_o the_o sun_n set_v not_o to_o that_o place_n and_o the_o other_o degree_n between_o the_o first_o of_o cancer_n and_o the_o first_o of_o libra_n will_v show_v the_o last_o day_n and_o in_o these_o day_n the_o sun_n radiate_v the_o horizon_n yet_o he_o will_v remain_v above_o it_o which_o yet_o must_v be_v understand_v of_o the_o centre_n of_o the_o sun_n but_o in_o the_o intermedial_a day_n he_o will_v perpetual_o remain_v above_o the_o horizon_n by_o the_o same_o method_n those_o day_n will_v be_v find_v in_o which_o the_o sun_n will_v remain_v beneath_o the_o horizon_n in_o the_o opposite_a part_n of_o the_o year_n and_o the_o first_o and_o last_o day_n of_o they_o globe_n this_o perform_v by_o the_o globe_n by_o a_o more_o easy_a method_n this_o may_v be_v do_v upon_o the_o globe_n yet_o with_o less_o manifest_a demonstration_n as_o many_o degree_n as_o the_o place_n give_v be_v distant_a from_o the_o pole_n let_v so_o many_o be_v number_v in_o the_o meridian_n from_o the_o aequator_fw-la and_o let_v the_o term_n be_v note_v on_o both_o side_n of_o the_o aequator_fw-la then_o the_o globe_n be_v turn_v round_o observe_v what_o point_v of_o the_o ecliptic_a pass_n through_o the_o note_a point_n of_o the_o meridian_n for_o those_o that_o be_v near_o to_o the_o begin_n of_o cancer_n and_o the_o arch_n comprehend_v will_v show_v the_o day_n of_o the_o perpetual_a stay_n of_o the_o sun_n above_o the_o horizon_n of_o the_o place_n give_v the_o other_o arch_n within_o the_o point_n about_o the_o begin_n of_o capricorn_n will_v show_v the_o day_n of_o the_o perpetual_a absence_n of_o the_o sun_n beneath_o the_o horizon_n of_o the_o place_n give_v map_n also_o by_o map_n in_o map_n let_v the_o compliment_n of_o the_o latitude_n of_o the_o place_n or_o distance_n of_o the_o place_n from_o the_o pole_n be_v number_v in_o the_o side-line_n of_o the_o map_n from_o the_o aequator_fw-la towards_o both_o the_o pole_n and_o the_o parallel_n to_o the_o aequator_fw-la be_v describe_v through_o the_o term_n of_o the_o numeration_n whether_o the_o map_n consist_v of_o strait_n or_o crooked_a line_n as_o we_o have_v show_v in_o the_o forecited_a proposition_n these_o line_n so_o draw_v shall_v cut_v the_o ecliptic_a each_o in_o two_o point_n these_o point_n will_v show_v the_o first_o and_o last_o daâ—â—_n of_o the_o perpetual_a stay_n of_o the_o sun_n above_o the_o horizon_n and_o the_o arch_a intercept_n all_o the_o day_n of_o the_o perpetual_a stay_n the_o other_o line_n in_o the_o opposite_a point_n 〈◊〉_d the_o ecliptic_a will_v show_v the_o perpetual_a delitescence_n of_o the_o sun_n beneath_o the_o horizon_n declination_n likewise_o by_o a_o table_n of_o the_o declination_n by_o a_o table_n of_o the_o declination_n it_o be_v thus_o do_v if_o the_o latitude_n of_o the_o place_n be_v know_v enter_v with_o the_o compliment_n of_o the_o latitude_n the_o table_n of_o the_o declination_n and_o seek_v that_o declination_n such_o as_o be_v the_o latitude_n of_o the_o place_n which_o you_o shall_v find_v four_o time_n and_o take_v those_o four_o day_n in_o which_o the_o sun_n have_v that_o declination_n two_o of_o they_o whereof_o one_o be_v between_o the_o 21th_o of_o march_n and_o the_o 21th_o of_o june_n the_o other_o the_o 21th_o of_o june_n and_o the_o 21th_o of_o september_n be_v the_o first_o and_o last_o of_o the_o perpetual_a stay_n of_o the_o sun_n above_o the_o horizon_n the_o other_o two_o of_o the_o perpetual_a stay_n beneath_o the_o horizon_n of_o the_o place_n propound_v the_o intermedial_a day_n will_v be_v of_o the_o perpetual_a stay_n of_o the_o sun_n above_o or_o under_o the_o horizon_n proposition_n ix_o the_o day_n of_o the_o year_n be_v give_v to_o find_v those_o place_n of_o the_o earth_n in_o the_o globe_n or_o the_o map_n in_o which_o the_o sun_n that_o day_n be_v vertical_a in_o the_o meridies_n viz._n one_o place_n after_o another_o from_o the_o day_n give_v the_o place_n of_o the_o sun_n in_o the_o ecliptic_a may_v be_v find_v according_a to_o the_o method_n of_o the_o 22th_o chapter_n in_o the_o globe_n let_v the_o place_n of_o the_o sun_n be_v bring_v to_o the_o point_n of_o the_o meridian_n which_o it_o hang_v over_o let_v the_o globe_n be_v turn_v round_o so_o all_o the_o place_n which_o pass_v through_o the_o mark_v point_n be_v those_o which_o be_v seek_v for_o in_o map_n let_v the_o place_n of_o the_o sun_n in_o the_o ecliptic_a be_v mark_v and_o through_o it_o let_v a_o right_a parallel_n of_o the_o aequator_fw-la be_v draw_v or_o otherwise_o a_o crooked_a as_o the_o table_n shall_v either_o consist_v of_o strait_a or_o crooked_a line_n so_o all_o the_o place_n of_o this_o parallel_n shall_v be_v those_o demand_v but_o it_o ought_v to_o be_v in_o the_o hemisphere_n of_o the_o map_n by_o the_o table_n of_o the_o declination_n deliver_v in_o the_o precedent_a chapter_n the_o latitude_n of_o those_o place_n may_v be_v find_v proposition_n x._o the_o day_n of_o the_o year_n be_v give_v to_o find_v those_o place_n of_o the_o earth_n in_o which_o the_o sun_n viz._n his_o centre_n do_v not_o set_v so_o that_o this_o day_n may_v be_v the_o first_o of_o all_o those_o in_o which_o the_o sun_n do_v not_o set_v in_o those_o place_n and_o to_o find_v those_o place_n in_o which_o the_o sun_n do_v not_o arise_v with_o the_o same_o condition_n arise_v the_o day_n of_o theyear_n be_v give_v to_o find_v those_o place_n of_o the_o earth_n in_o which_o the_o sun_n do_v not_o set_v nor_o arise_v the_o day_n must_v be_v one_o of_o those_o which_o fall_v between_o the_o 21th_o of_o march_n and_o the_o 21th_o of_o june_n or_o the_o 21th_o of_o september_n and_o the_o 21th_o of_o december_n first_o of_o all_o let_v the_o place_n of_o the_o sun_n in_o the_o ecliptic_a at_o the_o day_n give_v be_v find_v than_o the_o rest_n will_v follow_v so_o in_o the_o globe_n let_v the_o place_n of_o the_o sun_n in_o the_o ecliptic_a be_v bring_v to_o the_o meridian_n and_o how_o many_o degree_n be_v intercept_v between_o that_o and_o the_o aequator_fw-la in_o the_o meridian_n let_v so_o many_o be_v number_v from_o the_o pole_n towards_o the_o aequator_fw-la or_o how_o many_o degree_n be_v between_o the_o place_n of_o the_o sun_n and_o the_o pole_n let_v so_o many_o be_v number_v from_o the_o aequator_fw-la towards_o the_o pole_n let_v the_o term_n of_o the_o numeration_n be_v note_v with_o a_o chalk_n or_o let_v a_o parallel_n be_v draw_v to_o it_o all_o the_o place_n seat_v in_o this_o parallel_n satisfy_v the_o first_o demand_n but_o those_o place_n which_o be_v seek_v for_o in_o the_o second_o place_n shall_v be_v in_o the_o parallel_n equal_o distant_a from_o the_o other_o pole_n in_o map_n let_v the_o declination_n of_o the_o sun_n note_v be_v number_v from_o the_o pole_n towards_o the_o aequator_fw-la in_o the_o lateral_a line_n and_o let_v the_o parallel_n of_o the_o aequator_fw-la be_v draw_v through_o the_o term._n all_o the_o place_n lie_v in_o this_o parallel_n
definition_n spring_n summer_n autumn_n and_o winter_n may_v be_v attribute_v to_o all_o place_n of_o the_o earth_n neither_o be_v it_o easy_a to_o find_v out_o any_o other_o mode_n of_o define_v they_o so_o that_o they_o may_v agree_v with_o all_o place_n now_o these_o definition_n be_v lay_v down_o let_v we_o come_v to_o the_o matter_n itself_o proposition_n iii_o the_o celestial_a summer_n of_o the_o place_n of_o the_o earth_n which_o lie_v between_o the_o tropic_a of_o cancer_n and_o the_o pole_n arctic_a begin_v with_o the_o entrance_n of_o the_o sun_n into_o the_o first_o degree_n of_o cancer_n viz._n the_o 21_o of_o june_n and_o end_n with_o the_o entrance_n of_o the_o sun_n into_o the_o first_o degree_n of_o libra_n viz._n the_o 21_o of_o september_n and_o that_o together_o at_o once_o in_o all_o those_o place_n so_o that_o autumn_n be_v in_o those_o place_n the_o sun_n go_v from_o the_o first_o of_o libra_n unto_o the_o first_o of_o capricorn_n the_o winter_n whilst_o the_o sun_n move_v from_o the_o first_o of_o capricorn_n to_o the_o first_o of_o aries_n the_o spring_n whilst_o the_o sun_n move_v from_o the_o first_o degree_n of_o aries_n unto_o the_o first_o of_o cancer_n year_n further_o concern_v the_o season_n of_o the_o year_n the_o truth_n of_o this_o proposition_n be_v easy_o show_v by_o the_o antecedent_n definition_n and_o may_v be_v demonstrate_v on_o the_o globe_n and_o in_o universal_a map_n for_o the_o sun_n come_v to_o the_o first_o degree_n of_o cancer_n have_v the_o least_o distance_n in_o the_o meridies_n from_o the_o vertex_n of_o every_o one_o of_o the_o place_n of_o the_o northern_a temperate_a and_o frigid_a zone_n after_o the_o same_o mode_n the_o sun_n in_o the_o first_o degree_n of_o libra_n have_v a_o moderate_a distance_n from_o those_o vertex_n in_o the_o first_o of_o capricorn_n a_o great_a in_o the_o first_o of_o aries_n a_o moderate_a and_o he_o ascend_v to_o a_o more_o great_a which_o be_v apparent_a both_o from_o the_o 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february_n in_o congo_n here_o therefore_o the_o terrestrial_a season_n be_v repugnant_a to_o the_o celestial_a because_o that_o in_o january_n and_o february_n the_o sun_n be_v not_o most_o remote_a from_o those_o place_n and_o therefore_o they_o shall_v not_o have_v rain_n but_o rather_o siccity_n without_o doubt_v the_o cause_n be_v either_o from_o another_o situation_n of_o the_o mountain_n another_o fix_a wind_n or_o the_o like_a 6._o the_o island_n of_o st._n thomas_n thomas_n see_v the_o description_n of_o st._n thomas_n and_o anobon_n be_v very_o abundant_a in_o sugar_n grain_n fruit_n and_o meat_n and_o great_a plenty_n of_o orange_n etc._n etc._n 7._o how_o the_o season_n be_v in_o the_o other_o region_n of_o the_o occidental_a coast_n of_o africa_n from_o lowango_n to_o the_o tropic_a of_o capricorn_n i_o have_v not_o yet_o find_v to_o be_v observe_v by_o any_o one_o 8._o therefore_o that_o shore_n be_v leave_v and_o the_o promontory_n of_o good-hope_a be_v sail_v about_o 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chalure_n of_o the_o sun_n but_o the_o river_n the_o adjacent_a sea_n and_o general_a eastern_o wind_n much_o allay_v the_o heat_n 9_o the_o other_o region_n of_o the_o oriental_a coast_n of_o africa_n lie_v from_o the_o aequator_fw-la towards_o the_o north_n at_o the_o mouth_n of_o the_o arabian_a gulf_n and_o hence_o to_o the_o shore_n of_o the_o say_a gulf_n even_o to_o the_o tropic_a of_o cancer_n these_o region_n i_o say_v what_o season_v they_o have_v and_o in_o what_o time_n of_o the_o year_n i_o have_v not_o yet_o find_v observe_v by_o any_o but_o that_o some_o write_v that_o this_o tract_n be_v barren_a sandy_a oppress_v with_o such_o a_o violent_a heat_n and_o destitute_a of_o river_n 10._o as_o to_o the_o season_n in_o the_o mediterranean_a part_n of_o africa_n which_o be_v the_o region_n of_o the_o abyssine_n which_o be_v cut_v almost_o in_o the_o middle_n by_o the_o aequator_fw-la so_o that_o it_o have_v some_o province_n in_o the_o southern_a torrid_a zone_n and_o very_o 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the_o eight_o degree_n of_o north_n latitude_n i_o say_v these_o region_n the_o winter_n or_o rainy_a season_n possess_v the_o month_n of_o june_n july_n august_n and_o september_n but_o especial_o from_o the_o middle_n of_o june_n to_o the_o middle_n of_o september_n neither_o in_o all_o these_o place_n do_v it_o rain_n in_o a_o equal_a time_n but_o more_o continual_o in_o the_o province_n of_o goana_n and_o cocina_n and_o less_o in_o camboja_n where_o it_o only_o rain_v three_o month_n in_o the_o other_o eight_o month_n it_o seldom_o rain_v in_o camboja_n but_o in_o goa_n in_o the_o month_n of_o april_n and_o may_v it_o rain_v but_o less_o vehement_a and_o beginning_n with_o thunder_n and_o storm_n so_o that_o to_o autumn_n here_o may_v be_v ascribe_v half_o the_o month_n of_o march_n also_o april_n and_o may_v to_o the_o 15_o of_o june_n then_o from_o the_o 15_o of_o june_n july_n and_o august_n to_o winter_n likewise_o from_o the_o 15_o of_o september_n to_o december_n the_o 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there_o any_o violent_a rain_n in_o these_o place_n in_o the_o field_n except_o some_o storm_n by_o reason_n that_o it_o cease_v for_o many_o hour_n of_o the_o day_n therefore_o it_o afford_v the_o inhabitant_n a_o time_n of_o plant_v and_o sow_v which_o they_o do_v in_o these_o watery_a month_n the_o air_n also_o be_v of_o a_o moderate_a heat_n at_o that_o time_n because_o the_o sun_n be_v obstruct_v with_o cloud_n so_o that_o the_o remote_a inhabitant_n expatiate_v from_o the_o shore_n to_o the_o hill_n and_o field_n for_o recreation_n where_o the_o inundation_n be_v not_o great_a and_o incredible_a fertility_n be_v acquire_v to_o the_o earth_n by_o this_o rain_n but_o if_o these_o rain_n fall_v not_o on_o the_o year_n as_o in_o anno_fw-la 1630._o which_o seldom_o happen_v than_o all_o hope_n of_o sow_v and_o consequent_o harvest_n be_v take_v away_o thence_o come_v scarcity_n of_o corn_n a_o hot_a sultery_n air_n burn_v fever_n pestilence_n and_o death_n of_o thousand_o of_o 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for_o if_o these_o rain_n fall_v not_o and_o the_o cloud_n obscure_v not_o the_o sun_n that_o great_a heat_n of_o the_o sun_n will_v render_v the_o ground_n sandy_n and_o sterile_a as_o lybia_n and_o arabia_n where_o these_o rain_n be_v not_o the_o sun_n be_v near_o the_o vertex_fw-la contrary_a wise_n in_o the_o month_n of_o december_n january_n and_o february_n they_o shall_v have_v winter_n or_o lesser_a heat_n because_o that_o then_o the_o sun_n be_v most_o remote_a from_o they_o and_o then_o they_o have_v summer_n yet_o in_o the_o night_n the_o air_n be_v cold_a enough_o moreover_o a_o continual_a wind_n from_o the_o 12_o hour_n of_o the_o day_n to_o the_o 12_o hour_n of_o the_o night_n blow_v from_o the_o sea_n which_o be_v very_o acceptable_a 14._o in_o the_o coast_n of_o the_o east_n indies_n which_o be_v call_v choromandel_n the_o season_n also_o differ_v from_o the_o heaven_n for_o in_o the_o month_n of_o march_n april_n may_n and_o june_n the_o sun_n cause_v vehement_a 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of_o the_o sun_n in_o the_o same_o month_n of_o the_o year_n from_o the_o sun_n rise_v beyond_o the_o mountain_n of_o gatis_n which_o by_o a_o direct_a excursion_n to_o the_o promontory_n of_o cori_n intersect_v the_o whole_a region_n of_o malabar_n there_o be_v summer_n and_o drought_n and_o from_o the_o west_n on_o this_o side_n gatis_n there_o be_v rains_n and_o winter_n that_o in_o so_o near_o a_o propinquity_n of_o place_n in_o respect_n of_o the_o course_n of_o the_o season_n the_o same_o people_n almost_o seem_v antipode_n one_o to_o another_o but_o not_o only_o in_o these_o but_o also_o in_o other_o we_o have_v show_v this_o diversity_n to_o be_v find_v and_o shall_v show_v more_o anon_o the_o cause_n be_v the_o situation_n of_o the_o mountain_n which_o determinate_a the_o land_n of_o choromandel_n from_o malabar_n proceed_v from_o the_o north_n towards_o the_o south_n to_o this_o must_v be_v add_v divers_a wind_n for_o on_o the_o coast_n of_o choromandel_n a_o general_a eastern_a wind_n be_v more_o discover_v except_o in_o the_o summer_n month_n of_o may_n and_o june_n which_o drive_v the_o vapour_n towards_o the_o top_n of_o the_o mountain_n whence_o it_o rain_v in_o the_o land_n of_o malabar_n these_o mountain_n top_n be_v discover_v to_o be_v continual_o cover_v with_o cloud_n in_o the_o pluvial_a month_n also_o more_o vehement_a shower_n in_o those_o where_o the_o rain_n be_v in_o malabar_n but_o when_o it_o rain_v in_o the_o region_n of_o choromandel_n then_o be_v there_o a_o serenity_n in_o the_o top_n of_o the_o mountain_n as_o in_o the_o land_n of_o malabar_n except_o the_o month_n july_n and_o august_n for_o in_o these_o it_o rain_v in_o both_o land_n 15._o in_o the_o region_n of_o the_o gangick_a sea_n opposite_a to_o the_o coast_n of_o chroromandel_n and_o in_o the_o northern_a torrid_a zone_n as_o sian_n peru_n the_o chersonesus_n of_o malacca_n the_o pluvial_a month_n in_o which_o the_o river_n overslow_v be_v september_n october_n and_o november_n but_o in_o the_o land_n of_o malacca_n it_o rain_v every_o week_n of_o the_o year_n twice_o or_o thrice_o except_o the_o month_n of_o january_n february_n and_o march_n in_o which_o there_o be_v a_o continual_a drought_n all_o these_o be_v contrary_a to_o the_o celestial_a course_n and_o their_o cause_n must_v be_v seek_v from_o the_o mountain_n wind_n the_o propinquity_n of_o the_o sea_n and_o the_o like_a but_o because_o as_o yet_o we_o have_v no_o accurate_a observation_n concern_v these_o region_n we_o will_v not_o search_v they_o here_o the_o chief_a cause_n of_o the_o fertility_n of_o these_o region_n be_v the_o overflow_a of_o the_o river_n the_o vapour_n of_o the_o adjacent_a sea_n the_o river_n and_o the_o wind_n do_v much_o allay_v the_o heat_n whence_o the_o inhabitant_n have_v great_a plenty_n of_o fruit_n in_o the_o kingdom_n of_o patana_n and_o those_o border_n on_o it_o the_o summer_n begin_v in_o february_n and_o continue_v to_o the_o end_n of_o october_n in_o which_o time_n there_o be_v a_o continual_a heat_n which_o be_v allay_v with_o a_o continual_a oriental_a wind_n the_o air_n wholesome_a in_o november_n december_n and_o january_n there_o be_v continual_a rains_n which_o yet_o do_v not_o hinder_v a_o new_a increase_n every_o month_n at_o the_o least_o the_o same_o must_v be_v understoood_a of_o camboja_n and_o this_o winter_n agree_v with_o the_o celestial_a course_n 16._o leave_v asia_n the_o pacifick_n sea_n be_v sail_v over_o we_o enter_v that_o part_n of_o america_n which_o lie_v under_o the_o torrid_a zone_n which_o be_v twofold_a south_n and_o north_n the_o south_n again_o be_v twofold_a peru_n and_o brazilia_n although_o the_o part_n of_o peru_n be_v vicine_fw-la yet_o they_o have_v contrary_a season_n in_o one_o and_o the_o same_o time_n for_o the_o region_n of_o peru_n be_v divide_v into_o three_o part_n the_o shoar_n or_o maritime_a part_n the_o mountainous_a and_o the_o plain_a part_n which_o he_o in_o the_o same_o climate_n in_o the_o mountainous_a place_n they_o have_v a_o plavial_a winter_n from_o the_o month_n of_o october_n to_o the_o end_n of_o march_n when_o they_o shall_v have_v summer_n by_o the_o vicinity_n of_o the_o sun_n they_o have_v summer_n from_o the_o entrance_n of_o april_n to_o october_n in_o which_o month_n not_o rains_n do_v fall_v but_o in_o the_o winter_n month_n there_o be_v continual_a ra_n therefore_o the_o terrestrial_a season_n differ_v here_o from_o the_o celestial_a in_o maritime_a peru_n there_o be_v almost_o no_o winter_n in_o the_o whole_a year_n but_o they_o account_v their_o winter_n from_o the_o month_n of_o april_n to_o october_n which_o agree_v with_o the_o celestial_a cause_n because_o the_o sun_n be_v then_o remove_v from_o they_o to_o the_o tropic_a of_o cancer_n and_o thence_o return_v by_o reason_n
the_o air_n than_o it_o will_v do_v without_o this_o refraction_n we_o shall_v anon_o allege_v a_o example_n of_o the_o appearancy_n of_o the_o sun_n proceed_v from_o refraction_n 4._o the_o full_a moon_n and_o near_o the_o full_a remain_v above_o the_o horizon_n for_o many_o day_n when_o the_o sun_n be_v depress_v beneath_o it_o viz._n for_o so_o many_o more_o day_n by_o how_o much_o that_o place_n be_v more_o near_o the_o pole_n yet_o it_o be_v not_o so_o high_o elevate_v above_o the_o horizon_n as_o to_o cause_v any_o warmness_n but_o the_o full_a moon_n in_o those_o month_n in_o which_o the_o sun_n remain_v above_o the_o horizon_n in_o a_o whole_a revolution_n the_o full_a moon_n be_v never_o above_o the_o horizon_n horizon_n the_o planet_n not_o always_o the_o same_o above_o horizon_n 5._o the_o fix_a star_n be_v almost_o the_o same_o always_o above_o the_o horizon_n but_o not_o the_o planet_n for_o saturn_n remain_v 15_o year_n above_o the_o horizon_n of_o the_o place_n near_o the_o pole_n and_z 15_o beneath_o the_o same_o jupiter_n 6_o year_n beneath_o and_o 6_o above_o the_o same_o horizon_n mars_n 1_o year_n venus_n and_o mercury_n about_o half_a a_o year_n from_o this_o cause_n it_o be_v likely_a that_o there_o be_v great_a diversity_n of_o the_o motion_n of_o the_o air_n and_o season_n in_o divers_a year_n 6._o the_o land_n in_o most_o place_n of_o the_o frigid_a zone_n be_v stony_a rocky_a and_o as_o hard_o as_o flint_n in_o few_o place_n chalky_a sulphureous_a and_o fat_a in_o these_o place_n there_o be_v a_o moderate_a fertility_n in_o the_o other_o a_o sterility_n 7._o those_o region_n be_v encompass_v with_o the_o sea_n but_o for_o the_o mediterranean_a we_o as_o yet_o have_v no_o certain_a account_n 8._o some_o of_o the_o region_n of_o the_o frigid_a zone_n have_v mountain_n of_o a_o moderate_a height_n but_o most_o want_v they_o run_v on_o a_o plain_a for_o a_o long_a space_n 9_o the_o cold_a wind_n there_o frequent_o blow_v from_o the_o polary_n plaga_fw-la seldom_o the_o east_n wind_n and_o least_o of_o all_o the_o west_n in_o the_o cold_a arctic_a plaga_fw-la the_o north_n wind_n rage_n in_o the_o antarctic_a the_o south_n 10._o cloud_n and_o rain_n frequent_o perplex_v these_o region_n from_o these_o cause_n it_o be_v not_o difficult_a to_o collect_v what_o the_o condition_n of_o the_o season_n in_o these_o region_n be_v for_o in_o the_o winter_n time_n when_o the_o sun_n rise_v not_o for_o whole_a day_n it_o can_v otherwise_o be_v but_o that_o for_o the_o most_o part_n thick_a cloud_n frost_n and_o cold_a must_v render_v the_o land_n uninhabitable_a they_o be_v not_o altogether_o deprive_v of_o light_n for_o that_o time_n for_o the_o moon_n be_v above_o the_o horizon_n for_o a_o long_a time_n give_v light_a and_o the_o twilight_n be_v daily_o afford_v from_o the_o sun_n to_o the_o vicine_fw-la horizon_n but_o the_o snow_n the_o stick_n close_o about_o the_o earth_n which_o can_v be_v discuss_v by_o the_o heat_n of_o the_o sun_n and_o therefore_o hinder_v the_o aspect_n of_o remote_a thing_n there_o be_v no_o fertility_n but_o all_o barren_a and_o uncultivated_a for_o that_o which_o some_o suppose_v by_o how_o much_o any_o region_n be_v near_a to_o the_o pole_n by_o so_o much_o less_o it_o feel_v the_o intenseness_n of_o the_o cold_a and_o the_o field_n be_v find_v more_o fertile_a seem_v not_o probable_a to_o i_o when_o neither_o in_o nova_n zembla_n which_o be_v distant_a 16_o degree_n from_o the_o pole_n nor_o in_o spitzbirga_n which_o be_v only_o 8_o degree_n distant_a such_o a_o constitution_n of_o the_o earth_n be_v find_v but_o a_o roughness_n and_o hardness_n and_o almost_o in_o the_o middle_n of_o summer_n snow_n or_o at_o least_o shower_n and_o very_o cold_a wind_n neither_o be_v their_o opinion_n help_v by_o one_o example_n observe_v by_o mariner_n in_o a_o certain_a region_n 9_o degree_n distant_a from_o the_o pole_n which_o most_o man_n suppose_v to_o be_v groenland_n for_o in_o this_o green_a grass_n be_v find_v and_o a_o air_n more_o warm_a than_o in_o nova_n zembla_n as_o be_v most_o certain_a the_o only_a animal_n peculiar_a to_o these_o northern_a region_n venison_n rhinoceros_n a_o kind_n of_o venison_n be_v the_o rhinoceros_n and_o this_o in_o the_o space_n of_o a_o month_n become_v exceed_o fat_a by_o feed_v on_o this_o grass_n nevertheless_o see_v that_o as_o yet_o not_o many_o region_n be_v hitherto_o find_v of_o this_o temperature_n in_o the_o frigid_a zone_n it_o be_v not_o expedient_a for_o we_o from_o this_o single_a example_n to_o make_v a_o general_a conjecture_n especial_o see_v that_o the_o cause_n of_o this_o peculiar_a constitution_n be_v manifest_a for_o that_o land_n be_v full_a of_o marsh_n and_o sedgey_a and_o the_o grass_n by_o which_o the_o rhinoceros_n or_o dear_a be_v tender_v so_o fat_a be_v not_o a_o kind_n of_o terrestrial_a grass_n but_o sedge_n and_o osier_n but_o other_o herb_n be_v not_o there_o find_v or_o any_o tree_n from_o whence_o we_o may_v gather_v that_o that_o land_n contain_v some_o fat_a and_o sulphureous_a substance_n which_o be_v mix_v which_o the_o water_n produce_v such_o a_o oil_n and_o fatten_v sedge_n but_o that_o the_o like_a earth_n be_v to_o be_v find_v in_o other_o part_n of_o the_o frigid_a zone_n have_v not_o as_o yet_o be_v observe_v but_o rather_o the_o contrary_n therefore_o in_o the_o winter_n in_o these_o place_n be_v little_a light_n but_o a_o incredible_a and_o great_a violence_n of_o cold_a snow_n shower_n and_o polary_a wind_n and_o this_o winter_n begin_v in_o the_o northern_a frigid_a zone_n when_o the_o sun_n first_o enter_v capricorn_n although_o also_o the_o autumn_n the_o sun_n go_v from_o the_o 1_o degree_n of_o libra_n to_o the_o 1_o of_o capricorn_n be_v little_o different_a from_o this_o violent_a winter_n the_o spring_n indeed_o be_v less_o infest_a with_o this_o violence_n of_o the_o air_n yet_o it_o be_v without_o snow_n shower_n and_o cold_a polary_a wind_n yet_o the_o increase_n of_o heat_n in_o the_o day_n or_o rather_o the_o decrease_n of_o cold_a be_v discover_v at_o that_o time_n viz._n the_o sun_n go_v from_o the_o 1_o degree_n of_o aries_n to_o the_o 1_o of_o cancer_n and_o in_o this_o vernal_a season_n or_o in_o the_o latter_a day_n of_o it_o the_o sun_n continue_v above_o the_o horizon_n in_o entire_a revolution_n and_o therefore_o then_o there_o be_v discover_v a_o moderate_a heat_n which_o yet_o be_v not_o of_o that_o force_n as_o to_o melt_v and_o dissolve_v the_o snow_n of_o all_o those_o place_n into_o water_n much_o less_o be_v it_o able_a to_o melt_v the_o ice_n whence_o mariner_n report_v that_o here_o be_v to_o be_v find_v snow_n and_o ice_n of_o a_o perpetual_a duration_n then_o the_o summer_n shall_v be_v from_o the_o go_n of_o the_o sun_n from_o the_o 1_o degree_n of_o cancer_n to_o the_o 1_o of_o libra_n in_o the_o first_o part_n of_o which_o the_o sun_n yet_o remain_v for_o whole_a day_n above_o the_o horizon_n and_o augment_v the_o heat_n by_o some_o accession_n so_o that_o june_n july_n and_o august_n be_v month_n of_o a_o tolerable_a air._n in_o some_o place_n among_o the_o mountain_n the_o heat_n of_o the_o sun_n be_v intense_a but_o the_o shower_n and_o cloud_n do_v much_o hinder_v this_o benignity_n of_o the_o sun_n and_o especial_o the_o most_o sharp_a northern_a wind_n unto_o which_o sometime_o snow_n be_v adjoin_v so_o that_o no_o fruit_n or_o corn_n can_v here_o arrive_v to_o any_o maturity_n except_o in_o some_o place_n near_o the_o arctic_a circle_n chap._n xxvii_o of_o the_o shadow_n which_o the_o body_n erect_v in_o the_o earth_n and_o illuminate_v by_o the_o sun_n do_v cast_v and_o of_o the_o division_n of_o the_o earth_n arise_v from_o thence_o see_v that_o the_o shadow_n in_o divers_a place_n of_o the_o earth_n which_o the_o illuminate_v body_n of_o the_o sun_n do_v cast_v be_v carry_v into_o divers_a place_n and_o fall_v on_o the_o sense_n have_v much_o variety_n hence_o it_o come_v to_o pass_v that_o man_n who_o be_v ignorant_a of_o this_o cause_n be_v strike_v with_o a_o admiration_n and_o in_o respect_n of_o the_o shadow_n of_o the_o earth_n divide_v the_o inhabitant_n of_o the_o earth_n as_o it_o be_v into_o three_o sort_n which_o division_n must_v be_v apply_v to_o the_o place_n of_o the_o earth_n or_o to_o its_o superficies_n so_o that_o they_o term_v some_o amphiscij_fw-la other_o heteroscij_fw-la and_o the_o rest_n periscij_fw-la the_o explication_n of_o which_o term_n see_v that_o they_o contain_v but_o small_a learning_n we_o shall_v say_v somewhat_o also_o concern_v shadow_n which_o although_o they_o do_v not_o pertain_v to_o geography_n yet_o by_o reason_n of_o their_o near_a affinity_n they_o may_v be_v propose_v in_o this_o chapter_n shadow_n of_o
shadow_n the_o shadow_n receive_v their_o denomination_n from_o the_o part_n or_o quarter_n of_o the_o world_n into_o which_o they_o be_v cast_v as_o the_o oriental_a shadow_n which_o tend_v into_o the_o east_n from_o the_o sun_n place_v in_o the_o west_n contrariwise_o the_o occidental_a shadow_n which_o go_v into_o the_o western_a plaga_fw-la or_o quater_fw-la but_o here_o be_v chief_o to_o be_v consider_v the_o meridian_n shadow_n which_o be_v situate_v on_o the_o plain_a of_o the_o meridian_n or_o which_o be_v cast_v from_o body_n perpendicular_o erect_v or_o seat_v in_o the_o plain_a of_o the_o meridian_n the_o sun_n then_o be_v in_o the_o meridian_n and_o this_o be_v two_o fold_n viz._n northern_a and_o southern_a the_o inhabitant_n of_o that_o part_n of_o the_o earth_n be_v term_v heteroscij_fw-la where_o the_o meridian_n shadow_n of_o body_n erect_v be_v constant_o carry_v all_o day_n of_o the_o year_n to_o either_o pole_n the_o periscij_fw-la be_v those_o inhabitant_n of_o the_o earth_n where_o the_o shadow_n of_o erect_a body_n in_o one_o and_o the_o same_o day_n be_v carry_v about_o into_o all_o the_o plagas_fw-la of_o the_o horizon_n or_o where_o the_o meridian_n shadow_n in_o one_o and_o the_o same_o day_n be_v cast_v to_o both_o the_o quarter_n of_o the_o meridian_n the_o amphiscij_fw-la be_v those_o inhabitant_n of_o the_o earth_n where_o the_o meridian_n shadow_n of_o the_o erect_a body_n in_o some_o day_n of_o the_o year_n be_v cast_v to_o the_o north_n and_o on_o othersom_a to_o the_o south_n proposition_n i._o the_o shadow_n of_o body_n erect_v above_o the_o horizontal_n plain_a fall_v upon_o the_o quarter_n opposite_a to_o it_o in_o which_o the_o sun_n exi_v dyall_v of_o shadow_n in_o reference_n to_o optic_n and_o dyall_v those_o that_o be_v verse_v in_o the_o optic_n and_o horology_n be_v wont_a to_o say_v that_o a_o shadow_n a_o opac_n and_o luminous_a body_n be_v in_o one_o plain_a but_o the_o term_n or_o bind_v of_o the_o shadow_n the_o extremity_n of_o the_o opac_n and_o the_o sun_n be_v in_o one_o right_a line_n for_o because_o the_o opac_n the_o shadow_n and_o line_n conceal_v from_o the_o extremity_n of_o the_o opac_n to_o the_o extremity_n of_o the_o shadow_n make_v a_o triangle_n now_o every_o triangle_n be_v in_o one_o plain_a therefore_o those_o three_o line_n shall_v be_v in_o one_o plain_a the_o sun_n be_v in_o the_o extremity_n of_o the_o line_n conjoin_v the_o extremity_n of_o the_o opacity_n and_o the_o shadow_n moreover_o a_o erect_a body_n be_v right_a to_o the_o horizontal_n plain_a wherefore_o the_o plain_a draw_v through_o it_o viz._n that_o of_o the_o forementioned_a triangle_n be_v also_o straight_o to_o that_o horizontal_n plain_a and_o therefore_o seat_v in_o the_o vertical_a plain_n and_o because_o a_o body_n erect_v be_v seat_v as_o it_o be_v a_o vertex_fw-la between_o the_o sun_n and_o shadow_n therefore_o the_o sun_n and_o shadow_n shall_v be_v in_o the_o opposite_a quarter_n there_o be_v three_o part_n of_o this_o shadow_n which_o the_o style_v erect_v be_v illuminate_v from_o the_o sun_n do_v cast_v viz._n a_o dense_n shadow_n a_o central_n and_o a_o shadow_n which_o be_v almost_o a_o dense_n shadow_n which_o a_o ray_n come_v from_o the_o uppermost_a edge_n of_o the_o sun_n do_v terminate_v a_o central_n shadow_n be_v that_o which_o be_v intercept_v between_o the_o ray_n of_o the_o superior_a edge_n and_o the_o centrel_n ray_n the_o penumbra_fw-mi be_v that_o which_o be_v intercept_v between_o the_o central_n ray_n and_o the_o ray_n of_o the_o low_a proposition_n ii_o the_o inhabitant_n of_o the_o place_n of_o the_o earth_n which_o in_o the_o tropic_a of_o cancer_n and_o capricorn_n be_v heteroscij_fw-la heteroscij_fw-la the_o people_n in_o the_o tropic_n be_v heteroscij_fw-la for_o when_o the_o sun_n be_v in_o the_o first_o degree_n of_o cancer_n that_o very_a day_n the_o body_n erect_v in_o any_o point_n of_o the_o tropic_a of_o cancer_n do_v absorbe_v the_o shadow_n of_o the_o sun_n possess_v their_o meridian_n because_o that_o then_o the_o sun_n perpendicular_o from_o his_o vertex_fw-la hang_v over_o the_o horizon_n and_o therefore_o illuminate_v all_o part_n of_o it_o neither_o do_v any_o ray_n from_o the_o erect_a opac_n hinder_v like_o this_o which_o perpendicular_o fall_v on_o the_o plain_a of_o the_o horizon_n and_o therefore_o lie_v in_o the_o very_a opac_n but_o in_o other_o day_n of_o the_o year_n because_o the_o sun_n decline_v from_o the_o vertex_fw-la of_o the_o place_n of_o the_o tropic_a towards_o the_o south_n therefore_o the_o shadow_n be_v cast_v in_o the_o meridies_n towards_o the_o north_n never_o towards_o the_o south_n on_o the_o contrary_a in_o the_o place_n of_o the_o tropic_a of_o capricorn_n every_o day_n it_o be_v cast_v towards_o the_o south_n except_o on_o one_o day_n in_o which_o there_o will_v be_v no_o shadow_n never_o towards_o the_o north._n proposition_n iii_o the_o inhabitant_n of_o the_o torrid_a zone_n be_v amphiscii_n amphiscii_n the_o inhabitant_n of_o the_o torrid_a zone_n be_v call_v amphiscii_n let_v any_o place_n of_o the_o torrid_a zone_n be_v take_v in_o the_o globe_n and_o let_v it_o be_v bring_v to_o the_o meridian_n and_o let_v the_o parallel_n of_o the_o latitude_n which_o shall_v cut_v the_o ecliptic_a in_o two_o point_n be_v describe_v by_o chalk_n apply_v when_o therefore_o the_o sun_n shall_v be_v in_o these_o point_n of_o the_o ecliptic_a he_o shall_v describe_v by_o his_o circumvolution_n a_o parallel_n which_o shall_v direct_o hang_v over_o the_o parallel_n describe_v and_o therefore_o on_o those_o two_o day_n in_o which_o he_o obtain_v those_o point_n of_o the_o ecliptic_a in_o the_o assume_v place_n and_o in_o all_o situate_v in_o the_o describe_v parallel_n he_o shall_v be_v vertical_a in_o the_o meridies_n and_o illustrate_v all_o the_o place_n of_o the_o horizon_n and_o therefore_o no_o shadow_n shall_v be_v cast_v on_o these_o two_o day_n and_o the_o inhabitant_n shall_v be_v amphiscii_n without_o any_o shadow_n but_o on_o the_o other_o day_n of_o the_o year_n they_o shall_v not_o be_v so_o but_o the_o meridian_n shadow_n shall_v either_o be_v cast_v to_o the_o north_n or_o to_o the_o south_n to_o the_o north_n whilst_o the_o sun_n move_v in_o that_o part_n of_o the_o ecliptic_a which_o lie_v in_o those_o two_o point_n before_o note_v towards_o the_o south_n on_o the_o contrary_a to_o the_o south_n whilst_o the_o sun_n move_v in_o that_o part_n of_o the_o ecliptic_a which_o be_v situate_v from_o those_o two_o point_n towards_o the_o north._n proposition_n iu._n the_o inhabitant_n of_o the_o temperate_a zone_n be_v heteroscii_n heteroscii_n the_o inhabitant_n of_o the_o temperate_a zone_n be_v call_v heteroscii_n for_o because_o the_o sun_n in_o all_o those_o day_n of_o the_o year_n in_o the_o meridies_n be_v move_v from_o the_o place_n of_o the_o north_n temperate_a zone_n towards_o that_o quarter_n to_o wit_n the_o south_n and_o on_o the_o contrary_a from_o the_o place_n of_o the_o south_n temperate_a zone_n towards_o the_o north_n it_o follow_v from_o the_o first_o proposition_n that_o the_o meridian_n shadow_n of_o the_o place_n of_o the_o north_n temperate_a zone_n bend_v to_o the_o same_o quarter_n all_o the_o day_n of_o the_o year_n viz._n the_o north_n on_o the_o contrary_a to_o the_o south_n in_o the_o place_n of_o the_o south_n temperate_a zone_n proposition_n v._o the_o inhabitant_n of_o the_o frigid_a zone_n be_v periscii_n periscii_n the_o inhabitant_n of_o the_o frigid_a zone_n be_v call_v periscii_n for_o by_o reason_n that_o on_o some_o day_n of_o the_o year_n the_o sun_n set_v not_o in_o these_o place_n but_o move_v round_o about_o the_o horizon_n it_o be_v also_o necessary_a that_o the_o shadow_n shall_v be_v carry_v round_o into_o all_o quarter_n and_o the_o sun_n be_v in_o the_o superior_a semicircle_n of_o the_o meridian_n the_o shadow_n be_v cast_v towards_o the_o north_n and_o when_o the_o sun_n be_v in_o the_o inferior_a semicircle_n the_o shadow_n be_v carry_v towards_o the_o southern_a quarter_n proposition_n vi_o a_o place_n of_o the_o torrid_a zone_n be_v give_v to_o find_v the_o day_n of_o the_o year_n in_o which_o the_o inhabitant_n of_o that_o place_n shall_v be_v without_o any_o shadow_n and_o in_o what_o day_n the_o shadow_n be_v carry_v to_o the_o north_n and_o in_o what_o to_o the_o south_n let_v the_o day_n of_o the_o year_n in_o which_o the_o sun_n become_v vertical_a to_o the_o place_n give_v be_v find_v those_o shall_v be_v the_o day_n in_o which_o the_o inhabitant_n of_o that_o place_n shall_v be_v without_o a_o shadow_n for_o this_o use_v the_o mode_n in_o the_o three_o proposition_n proposition_n vii_o the_o day_n of_o the_o year_n be_v give_v to_o find_v the_o place_n of_o the_o earth_n in_o the_o globe_n who_o inhabitant_n be_v amphiscii_n
hour_n of_o the_o cycle_n and_o let_v the_o note_a point_n of_o the_o parallel_n be_v turn_v to_o the_o meridian_n the_o index_n will_v show_v how_o many_o hour_n before_o and_o how_o many_o hour_n after_o noon_n the_o regress_n begin_v proposition_n xv._o the_o longitude_n of_o the_o shadow_n decrease_v the_o altitude_n of_o the_o sun_n increase_v and_o on_o the_o contrary_a the_o altitude_n of_o the_o sun_n decrease_v the_o shadow_n increase_v increase_v they_o decrease_v from_o the_o east_n to_o the_o meridies_n and_o from_o the_o meridies_n to_o the_o set_n the_o shadow_n again_o increase_v for_o the_o sun_n be_v more_o near_o the_o vertex_fw-la of_o the_o style_n by_o how_o much_o the_o more_o he_o be_v elevate_v above_o the_o horizon_n therefore_o the_o ray_n of_o the_o sun_n terminate_a the_o shadow_n become_v also_o more_o nigh_o the_o style_n and_o on_o that_o account_n the_o shadow_n become_v lesser_a moreover_o the_o sun_n have_v the_o great_a altitude_n in_o the_o meridies_n therefore_o the_o longitude_n of_o the_o shadow_n than_o shall_v be_v lesser_a but_o in_o the_o rise_n and_o set_v of_o the_o sun_n there_o be_v no_o altitude_n therefore_o the_o longitude_n of_o the_o shadow_n shall_v be_v infinite_a proposition_n xvi_o the_o longitude_n of_o the_o style_n and_o the_o shadow_n be_v give_v to_o find_v the_o altitude_n of_o the_o sun_n above_o the_o horizon_n and_o thence_o the_o hour_n of_o the_o day_n if_o that_o moreover_o the_o latitude_n of_o the_o place_n and_o day_n of_o the_o year_n be_v know_v the_o longitude_n of_o the_o style_n the_o shadow_n and_o the_o ray_n terminate_a the_o shadow_n make_v a_o right_a angle_a triangle_n therefore_o let_v the_o proportion_n be_v institute_v according_a to_o the_o 15_o proposition_n of_o the_o second_o chapter_n as_o the_o longitude_n of_o the_o shadow_n be_v to_o the_o longitude_n of_o the_o style_n so_o be_v the_o whole_a sign_n to_o the_o tangent_fw-la of_o the_o angle_n which_o show_v the_o altitude_n of_o the_o sun_n from_o this_o altitude_n and_o latitude_n of_o the_o place_n 29._o see_v proposit_n 3._o chap._n 29._o and_o day_n of_o the_o year_n shall_v the_o hour_n of_o the_o day_n be_v find_v out_o proposition_n xvii_o the_o semidiameter_n of_o the_o sun_n and_o earth_n be_v give_v and_o the_o distance_n of_o the_o sun_n from_o the_o earth_n to_o find_v out_o the_o longitude_n of_o the_o shadow_n which_o the_o whole_a earth_n cast_v towards_o heaven_n shadow_n of_o the_o longitude_n of_o the_o shadow_n the_o shadow_n of_o the_o earth_n be_v conical_a as_o the_o optic_n demonstrate_v and_o be_v easy_o show_v by_o a_o diagram_n therefore_o the_o distance_n of_o the_o vertex_fw-la of_o this_o cone_n which_o cause_v the_o eclipse_n of_o the_o moon_n from_o the_o earth_n be_v seek_v that_o be_v find_v by_o this_o proposition_n for_o as_o the_o distance_n of_o the_o semidiameter_n of_o the_o sun_n and_o earth_n be_v to_o the_o distance_n give_v so_o be_v the_o semidiameter_n of_o the_o earth_n to_o the_o longitude_n of_o the_o shadow_n of_o the_o earth_n or_o to_o the_o axis_n of_o the_o shady_a cone_n proposition_n xviii_o the_o distance_n of_o the_o moon_n from_o the_o earth_n and_o the_o longitude_n of_o the_o shadow_n of_o the_o earth_n be_v give_v to_o find_v how_o great_a a_o part_n of_o the_o moon_n be_v opscure_v how_o great_a the_o eclipse_n will_v be_v if_o that_o the_o moon_n remain_v in_o the_o ecliptic_a moon_n of_o the_o eclipse_n of_o the_o moon_n let_v the_o rule_n of_o three_o be_v institute_v according_a to_o this_o proportion_n as_o the_o longitude_n of_o the_o shadow_n be_v to_o the_o excess_n of_o this_o longitude_n above_o the_o distance_n of_o the_o moon_n so_o the_o semidiameter_n of_o the_o earth_n be_v to_o that_o shady_a cone_n of_o the_o earth_n in_o that_o part_n where_o the_o moon_n enter_v it_o furthermore_o as_o the_o distance_n of_o the_o moon_n be_v to_o the_o find_v out_o semidianeter_n of_o the_o shadow_n so_o be_v the_o whole_a sign_n of_o the_o canon_n to_o the_o tangent_fw-la of_o the_o angle_n of_o sight_n which_o the_o half_a diameter_n of_o shadow_n subtend_v to_o our_o eye_n which_o if_o it_o be_v double_v the_o angle_n of_o sight_n be_v account_v for_o the_o whole_a diameter_n of_o the_o shadow_n with_o this_o angle_n let_v the_o angle_n of_o sight_n or_o the_o apparent_a semidiameter_n of_o the_o moon_n which_o be_v in_o opposition_n of_o the_o sun_n or_o in_o time_n of_o eclipse_n be_v compare_v from_o this_o comparation_n the_o quantity_n of_o the_o obcsurity_n will_v be_v make_v manifest_a which_o if_o you_o desire_v to_o have_v in_o digit_n institute_v a_o rule_n of_o proportion_n after_o this_o manner_n as_o the_o diameter_n of_o the_o moon_n be_v to_o twelve_o digit_n so_o be_v the_o apparent_a diameter_n of_o the_o shadow_n or_o angle_n of_o sight_n to_o the_o ecliptic_a digit_n proposition_n xix_o by_o how_o much_o the_o place_n of_o the_o earth_n every_o day_n be_v more_o remote_a from_o the_o aequator_fw-la or_o from_o the_o parallel_n of_o the_o sun_n by_o so_o much_o the_o more_o both_o the_o meridian_n shadow_n as_o well_o as_o the_o shadow_n of_o the_o rest_n of_o the_o hour_n be_v long_o for_o because_o the_o sun_n be_v more_o remote_a from_o the_o vertex_fw-la of_o those_o place_n therefore_o also_o the_o ray_n of_o the_o sun_n terminate_a the_o shadow_n be_v more_o remote_a from_o the_o style_n and_o therefore_o the_o shadow_n be_v so_o much_o the_o long_o extend_v proposition_n xx._n if_o that_o the_o style_n be_v place_v in_o any_o plain_a after_o such_o a_o mode_n that_o it_o become_v part_n of_o the_o axis_n of_o the_o world_n or_o that_o it_o be_v parallel_n to_o that_o axis_n the_o shadow_n of_o that_o style_n shall_v fall_v on_o a_o certain_a hour_n on_o the_o very_a line_n of_o that_o plain_a in_o which_o this_o line_n be_v cut_v by_o the_o great_a horary_a circle_n whether_o of_o declination_n or_o from_o the_o meridian_n in_o which_o the_o sun_n be_v at_o that_o hour_n hour_n a_o moment_n or_o small_a space_n of_o a_o hour_n for_o the_o shadow_n of_o the_o axis_n of_o the_o world_n or_o the_o style_n so_o place_v fall_v on_o the_o plain_a of_o the_o horary_a or_o meridian_n circle_n in_o which_o the_o sun_n be_v at_o that_o moment_n of_o time_n for_o neither_o can_v it_o fall_v beyond_o the_o plain_n see_v that_o the_o sun_n the_o opac_a body_n and_o the_o shadow_n be_v in_o one_o plain_n upon_o which_o the_o style_n be_v place_v wherefore_o see_v this_o style_n be_v upon_o this_o plain_a as_o also_o on_o the_o plain_a of_o the_o meridian_n which_o the_o sun_n keep_v for_o a_o moment_n thence_o it_o follow_v that_o this_o shadow_n may_v fall_v on_o the_o common_a section_n of_o this_o plain_a or_o the_o plain_a of_o the_o meridian_n or_o of_o the_o horary_a circle_n for_o if_o any_o line_n be_v in_o two_o or_o more_o plain_n it_o shall_v be_v in_o the_o common_a section_n of_o those_o plain_n proposition_n xxi_o to_o describe_v the_o aequinoctial_a night-dial_n night-dial_n aequinoctial_a night-dial_n a_o plain_a of_o wood_n paper_n brass_n or_o other_o metal_n must_v be_v erect_v above_o the_o horizon_n so_o many_o degree_n as_o the_o aequator_fw-la be_v elevate_v above_o the_o horizon_n or_o so_o many_o degree_n as_o be_v in_o the_o compliment_n of_o the_o latitude_n of_o the_o place_n before_o it_o be_v erect_v it_o be_v necessary_a to_o draw_v the_o line_n of_o the_o scioterick_n therefore_o let_v what_o point_n you_o please_v be_v take_v in_o that_o plain_a and_o let_v the_o periphery_a of_o the_o circle_n be_v describe_v from_o it_o as_o from_o a_o centre_n let_v a_o line_n parallel_n to_o the_o horizon_n be_v draw_v through_o that_o centre_n or_o let_v the_o line_n be_v parallel_n to_o the_o common_a section_n of_o the_o aequator_fw-la and_o the_o horizon_n which_o shall_v be_v the_o line_n of_o the_o shadow_n of_o the_o hour_n of_o six_o in_o the_o evening_n and_o six_o in_o the_o morning_n let_v a_o line_n perpendicular_a to_o this_o be_v draw_v from_o the_o centre_n which_o shall_v be_v the_o shadow_n of_o the_o twelve_o hour_n then_o let_v both_o the_o quadrant_n be_v divide_v into_o three_o part_n and_o every_o one_o of_o those_o three_o into_o two_o so_o that_o the_o six_o arch_n may_v be_v in_o every_o one_o of_o they_o whereof_o every_o one_o shall_v be_v of_o fifteen_o degree_n and_o let_v they_o be_v draw_v from_o the_o centre_n to_o the_o term_n or_o bound_n of_o the_o arch_n of_o the_o right_a line_n these_o shall_v be_v the_o line_n of_o the_o shadow_n for_o the_o beginning_n of_o the_o remain_a hour_n which_o fall_v between_o twelve_o and_o six_o who_o number_n and_o order_n must_v be_v set_v down_o at_o the_o extremity_n of_o the_o line_n draw_v the_o same_o
arch_n of_o fifteen_o degree_n beneath_o the_o horizontal_n line_n must_v be_v take_v in_o the_o describe_v periphery_n for_o the_o hour_n before_o six_o in_o the_o morning_n and_o six_o in_o the_o evening_n and_o the_o line_n of_o the_o shadow_n must_v be_v draw_v the_o perpendicular_a style_n must_v also_o be_v erect_v from_o the_o centre_n furthermore_o in_o the_o horizontal_n plain_a if_o that_o the_o plain_a of_o the_o scioterick_n be_v not_o yet_o erect_v the_o meridian_n line_n must_v be_v find_v and_o the_o line_n of_o the_o aequinoctial_a rise_n and_o set_v and_o so_o it_o must_v be_v place_v on_o or_o above_o this_o plain_a of_o the_o scioterick_n that_o the_o horizontal_n line_n of_o the_o scioterick_n may_v be_v parallel_n to_o this_o line_n of_o the_o rise_n and_o set_v so_o the_o shadow_n of_o the_o style_n shall_v show_v the_o beginning_n of_o the_o hour_n at_o every_o day_n of_o the_o year_n but_o because_o the_o sun_n only_o illustrate_v this_o one_o superficies_n of_o this_o plain_a half_a a_o year_n and_o the_o other_o another_o half_a year_n therefore_o in_o both_o the_o superficies_n a_o scioterick_n must_v be_v make_v after_o the_o appoint_a mode_n lay_v down_o before_o that_o on_o one_o side_n of_o it_o in_o the_o time_n of_o summer_n and_o spring_n in_o the_o other_o in_o the_o time_n of_o autumn_n the_o hour_n may_v be_v know_v by_o the_o benefit_n of_o the_o shadow_n the_o line_n of_o the_o circle_n which_o show_v the_o place_n of_o the_o sun_n in_o the_o ecliptic_a or_o the_o entrance_n of_o the_o sun_n into_o the_o twelve_o sign_n of_o the_o zodiac_n and_o which_o do_v represent_v the_o parallel_n which_o the_o sun_n describe_v in_o the_o heaven_n by_o his_o circumvolution_n may_v easy_o be_v draw_v on_o this_o aequinoctial_a scioterick_n for_o let_v a_o certain_a magnitude_n of_o the_o style_n be_v take_v and_o let_v it_o be_v accurate_o divide_v into_o ten_o part_n and_o one_o of_o thsee_v ten_o into_o ten_o other_o part_n that_o the_o whole_a line_n may_v be_v conceive_v to_o be_v cut_v into_o a_o hundred_o particle_n then_o from_o a_o table_n of_o declination_n let_v the_o declination_n of_o the_o sun_n be_v except_v the_o five_o the_o ten_o the_o fifteen_o the_o twenty_o the_o twenty_o five_o the_o thirty_o degree_n of_o aries_n or_o the_o first_o the_o fifteen_o degree_n of_o taurus_n the_o first_o the_o fifteen_o degree_n of_o taurus_n the_o first_o the_o fifteen_o degree_n of_o gemini_fw-la the_o first_o degree_n of_o cancer_n and_o let_v the_o tangent_n be_v take_v from_o the_o mathematical_a canon_n moreover_o from_o the_o centre_n of_o the_o horologe_n in_o the_o interval_n of_o the_o tangent_fw-la of_o compliment_n of_o the_o five_o degree_n of_o aries_n let_v the_o periphery_a of_o the_o circle_n be_v describe_v this_o will_v note_v the_o entrance_n of_o the_o sun_n into_o the_o five_o degree_n of_o aries_n and_o the_o twenty_o five_o of_o virgo_fw-la and_o the_o parallel_n of_o the_o sun_n for_o that_o day_n viz._n when_o the_o diurnal_a extremity_n of_o the_o shadow_n by_o its_o circumvolution_n shall_v fall_v on_o this_o describe_v periphery_n it_o shall_v be_v a_o sign_n that_o the_o sun_n be_v in_o the_o five_o degree_n of_o aries_n or_o the_o twenty_o five_o of_o virgo_fw-la after_o the_o same_o mode_n let_v the_o periphery_n be_v describe_v in_o the_o interval_n of_o the_o compliment_n of_o the_o ten_o and_o the_o twenty_o degree_n of_o aries_n the_o first_o and_o the_o fifteen_o of_o taurus_n the_o first_o and_o the_o fifteen_o of_o gemini_fw-la and_o the_o first_o degree_n of_o cancer_n those_o will_v show_v the_o parallel_n of_o the_o sun_n in_o those_o point_n and_o also_o in_o the_o point_n of_o the_o 20_o degree_n of_o virgo_fw-la the_o 10_o and_o the_o first_o of_o virgo_fw-la the_o 15_o of_o leo_n and_o the_o first_o of_o leo_n and_o the_o 15_o degree_n of_o cancer_n after_o the_o same_o mode_n on_o the_o other_o side_n of_o the_o scioterick_n let_v the_o periphery_n be_v describe_v for_o the_o parallel_n of_o the_o sun_n in_o the_o first_o degree_n of_o libra_n and_o the_o 25_o of_o pisces_fw-la in_o the_o 10_o of_o libra_n and_o the_o 20_o of_o pisces_fw-la in_o the_o 15_o of_o libra_n and_o the_o 15_o of_o pisces_fw-la in_o the_o first_o of_o scorpio_n and_o the_o first_o of_o pisces_fw-la in_o the_o 15_o of_o scorpio_n and_o the_o 15_o of_o aquarius_n and_o in_o the_o first_o degree_n of_o sagittarius_fw-la and_o the_o first_o of_o aquarius_n unto_o every_o one_o of_o these_o periphery_n the_o character_n of_o the_o sign_n of_o the_o zodiac_n must_v be_v ascribe_v proposition_n xxii_o to_o describe_v a_o horizontal_n scioterick_n or_o a_o horizontal_n plain_n describe_v a_o horizontal_n scioterick_n or_o horizontal_n plain_a describe_v by_o the_o globe_n let_v the_o pole_n and_o meridian_n be_v elevate_v for_o the_o latitude_n of_o the_o place_n which_o meridian_n be_v more_o conspicuous_a than_o the_o other_o line_n in_o the_o superficies_n both_o for_o colour_n and_o magnitude_n let_v it_o be_v bring_v under_o the_o brazen_a meridian_n let_v the_o index_n be_v place_v at_o the_o hour_n of_o twelve_o let_v the_o globe_n be_v turn_v round_o until_o the_o index_n show_v the_o hour_n one_o or_o eleven_o or_o until_o 15_o degree_n of_o the_o aequator_fw-la do_v pass_v the_o brazen_a meridian_n in_o this_o situation_n of_o the_o globe_n let_v the_o degree_n intercept_v between_o the_o brazen_a meridian_n and_o the_o meridian_n of_o the_o globe_n be_v number_v on_o the_o wooden_a horizon_n and_o let_v this_o hour_n be_v note_v for_o the_o hour_n of_o one_o after_o noon_n and_o eleven_o before_o noon_n then_o let_v the_o globe_n be_v turn_v again_o until_o the_o index_n show_v the_o hour_n 11_o or_o 10_o and_o let_v the_o degree_n intercept_v between_o those_o two_o meridian_n the_o brazen_a one_o and_o that_o assume_v be_v note_v for_o the_o 10_o or_o 11_o hour_n after_o the_o same_o manner_n let_v it_o be_v do_v for_o the_o hour_n 9_o and_o 3_o for_o 8_o and_o 4_o for_o 7_o and_o 5_o for_o 6_o and_o 6_o but_o we_o shall_v not_o want_v this_o hour_n for_o 5_o and_o 7_o for_o 4_o and_o 8_o for_o 3_o and_o 9_o these_o degree_n be_v thus_o note_v for_o every_o ascribe_v hour_n let_v the_o meridian_n line_n be_v find_v on_o the_o horizontal_n plain_a and_o for_o any_o point_n of_o this_o line_n let_v the_o periphery_a of_o the_o circle_n be_v describe_v as_o from_o a_o centre_n and_o let_v it_o be_v draw_v perpendicular_o from_o the_o centre_n to_o the_o same_o on_o either_o side_n this_o shall_v be_v the_o line_n of_o the_o shadow_n at_o the_o hour_n 6_o before_o noon_n and_o 6_o after_o noon_n the_o meridian_n line_n be_v the_o line_n of_o the_o shadow_n of_o the_o hour_n 12._o in_o the_o describe_v periphery_a let_v the_o arch_n before_o note_a be_v cut_v of_o begin_v from_o the_o meridian_n line_n towards_o the_o line_n of_o the_o hour_n 6_o before_z and_z after_o noon_n first_o the_o arch_n note_v for_o 11_o and_o 1_o then_o for_o the_o hour_n 10_o and_o 2_o for_o 9_o and_o 3_o for_o 8_o and_o 4_o etc._n etc._n the_o arch_n thus_o cut_v off_o let_v the_o line_n be_v draw_v from_o the_o centre_n to_o those_o bound_n these_o shall_v be_v the_o line_n of_o the_o shadow_n in_o the_o beginning_n and_o end_n of_o the_o other_o hour_n but_o the_o style_n must_v be_v so_o elevate_v from_o the_o centre_n of_o the_o horologe_n above_o the_o meridian_n line_n that_o the_o angle_n which_o it_o make_v with_o it_o may_v be_v equal_a to_o the_o latitude_n of_o the_o place_n or_o elevation_n of_o the_o pole_n but_o it_o be_v more_o commodious_a to_o make_v some_o triangle_n who_o angle_n at_o the_o basis_n be_v equal_a to_o the_o latitude_n of_o the_o place_n if_o the_o declination_n be_v make_v on_o paper_n let_v the_o line_n be_v draw_v from_o the_o centre_n which_o from_o the_o periphery_n may_v take_v a_o arch_n equal_a to_o the_o latitude_n of_o the_o place_n the_o numeration_n be_v from_o the_o meridian_n line_n and_o let_v the_o triangle_n be_v cut_v out_o to_o be_v place_v above_o the_o meridian_n line_n so_o the_o shadow_n will_v show_v the_o hour_n the_o make_n of_o this_o scioterick_n be_v easy_a without_o a_o globe_n proposition_n xxiii_o to_o describe_v a_o scioterick_n on_o a_o vertical_a plain_n which_o may_v direct_o regard_v the_o east_n and_o west_n aequinoctial_a what_o a_o scioterick_n what_o the_o make_n of_o this_o be_v perfect_v after_o the_o same_o mode_n which_o we_o use_v in_o the_o horizontal_n if_o that_o the_o pole_n be_v not_o elevate_v according_a to_o the_o latitude_n of_o the_o place_n but_o according_a to_o the_o compliment_n of_o it_o and_o then_o the_o style_n also_o be_v elevate_v above_o the_o meridian_n
according_a to_o this_o compliment_n but_o this_o be_v better_a learn_v by_o instruction_n than_o long_a precept_n proposition_n xxiv_o to_o make_v a_o scioterick_n in_o our_o horizontal_n or_o other_o plain_n which_o shall_v show_v the_o hour_n of_o other_o place_n although_o remote_a from_o we_o this_o may_v be_v do_v on_o our_o scioterick_n which_o be_v make_v to_o show_v the_o hour_n of_o our_o place_n first_o consider_v whether_o the_o place_n give_v lie_v east_n or_o west_n from_o we_o if_o eastward_n the_o 12_o hour_n must_v be_v reckon_v there_o before_o in_o our_o place_n if_o westward_n mare_n late_a then_o let_v our_o place_n be_v bring_v to_o the_o meridian_n the_o index_n to_o the_o hour_n 12_o and_o let_v the_o globe_n be_v turn_v until_o the_o other_o place_n come_v to_o the_o meridian_n the_o index_n will_v show_v what_o hour_n be_v in_o this_o place_n when_o it_o be_v 12_o in_o we_o from_o hence_o it_o be_v easy_a to_o collect_v the_o hour_n of_o that_o place_n which_o may_v agree_v with_o the_o 1_o 2_o 3_o 4_o also_o 11_o 10_o 9_o 8_o etc._n etc._n of_o we_o which_o then_o must_v be_v ascribe_v to_o they_o but_o this_o may_v be_v do_v more_o elegant_o without_o the_o globe_n according_a to_o the_o mode_n that_o the_o horizontal_n be_v compose_v proposition_n xxv_o to_o elevate_v a_o plain_a above_o the_o horizon_n of_o our_o place_n and_o in_o that_o plain_a to_o make_v a_o scioterick_n in_o which_o the_o shadow_n of_o the_o hour_n may_v seem_v to_o go_v backward_o as_o in_o the_o place_n of_o the_o torrid_a zone_n because_o the_o elevation_n of_o the_o plain_n be_v leave_v to_o our_o choice_n therefore_o we_o shall_v choose_v such_o a_o one_o as_o be_v commodious_a to_o our_o purpose_n for_o example_n we_o shall_v so_o place_v the_o plain_a above_o our_o horizon_n or_o above_o the_o aequinoctial_a line_n east_n and_o west_n that_o the_o axis_n of_o the_o world_n or_o pole_n may_v be_v elevate_v ten_o degree_n above_o it_o so_o the_o shadow_n shall_v begin_v to_o be_v retrograde_a the_o sun_n be_v enter_v into_o the_o 26_o degree_n of_o aries_n and_o it_o shall_v so_o do_v until_o the_o sun_n come_v to_o the_o four_o degree_n of_o virgo_fw-la therefore_o let_v the_o plain_n be_v so_o constitute_v and_o the_o horologue_n so_o make_v that_o it_o may_v be_v in_o the_o place_n of_o the_o latitude_n of_o 52_o the_o plain_n shall_v be_v elevate_v 42_o degree_n so_o the_o pole_n shall_v be_v elevate_v above_o that_o 10_o degree_n 22._o see_v proposit_n 22._o in_o this_o plain_a a_o horizontal_n scioterick_n may_v be_v make_v for_o the_o elevation_n of_o the_o pole_n 10_o degree_n where_o when_o the_o line_n of_o the_o shadow_n be_v bring_v from_o the_o centre_n of_o the_o horologue_n and_o extend_v far_o enough_o let_v their_o part_n about_o the_o centre_n be_v blot_v out_o and_o the_o centre_n also_o and_o let_v a_o perpendicular_a style_n be_v erect_v in_o any_o point_n of_o the_o altitude_n of_o the_o meridian_n line_n such_o as_o shall_v exhibit_v a_o gnomonical_a triangle_n and_o the_o extremity_n of_o this_o style_n by_o its_o shadow_n fall_v on_o the_o line_n of_o the_o shadow_n shall_v show_v the_o hour_n and_o also_o the_o shadow_n shall_v seem_v to_o be_v retrograde_a on_o those_o day_n also_o by_o the_o assistance_n of_o the_o terrestrial_a globe_n meridional_a polary_a and_o incline_v sciotericks_n of_o all_o sort_n may_v be_v describe_v but_o because_o this_o matter_n appertain_v to_o another_o discipline_n viz._n to_o dial_v therefore_o i_o think_v it_o unnecessary_a to_o treat_v of_o all_o these_o here_o chap_n xxviii_o of_o the_o comparison_n of_o the_o celestial_a affection_n in_o divers_a place_n of_o the_o earth_n scheme_n see_v scheme_n from_o the_o consideration_n of_o the_o agreement_n and_o difference_n of_o the_o celestial_a appearance_n in_o the_o divers_a place_n of_o the_o earth_n proceed_v the_o denomination_n of_o the_o inhabitant_n which_o some_o have_v mistake_v for_o the_o division_n by_o which_o some_o be_v say_v to_o be_v antoeci_n other_o perioeci_n and_o other_o antipode_n earth_n of_o the_o denomination_n of_o the_o inhabitant_n of_o the_o earth_n those_o be_v say_v to_o be_v antoeci_n or_o the_o inhabitant_n of_o two_o place_n which_o lie_v in_o the_o same_o semicircle_n of_o the_o same_o meridian_n but_o from_o a_o divers_a quarter_n of_o the_o aequator_fw-la to_o wit_n one_o towards_o the_o north_n and_o another_o towards_o the_o south_n but_o yet_o so_o that_o they_o be_v equal_o distant_a from_o the_o aequator_fw-la perioeci_n be_v the_o inhabitant_n of_o two_o place_n which_o lie_v in_o the_o same_o parallel_n and_o in_o divers_a semicircle_n of_o the_o same_o meridian_n sometime_o the_o word_n be_v take_v for_o all_o the_o inhabitant_n of_o any_o one_o climate_n but_o to_o avoid_v confusion_n we_o shall_v abstain_v from_o that_o use_n of_o it_o antipode_n be_v the_o inhabitant_n of_o two_o place_n which_o diametrical_o be_v oppose_v one_o to_o the_o other_o note_v that_o these_o three_o word_n be_v so_o take_v for_o the_o most_o part_n that_o they_o denote_v the_o inhabitant_n of_o both_o place_n which_o be_v compare_v as_o we_o define_v they_o but_o yet_o sometime_o when_o any_o certain_a place_n be_v adjoin_v to_o they_o they_o only_o denote_v the_o other_o place_n as_o when_o we_o say_v the_o perioeci_n or_o antipode_n of_o this_o or_o that_o place_n proposition_n i._o those_o who_o live_v in_o the_o same_o semicircle_n of_o the_o same_o meridian_n they_o have_v also_o the_o same_o meridies_n or_o 12_o hour_n and_o also_o reckon_v together_o all_o the_o other_o hour_n for_o the_o meridies_n be_v define_v by_o the_o existency_n or_o appulse_n of_o the_o sun_n to_o the_o meridian_n because_o therefore_o those_o place_n of_o the_o earth_n which_o inhabit_v in_o the_o same_o meridian_n of_o the_o earth_n have_v also_o the_o same_o meridian_n of_o the_o heaven_n thence_o it_o be_v manifest_a that_o the_o sun_n in_o the_o same_o meridian_n to_o those_o that_o inhabit_v it_o make_v the_o meridies_n and_o the_o 12_o hour_n to_o they_o all_o at_o one_o time_n moreover_o a_o hour_n be_v define_v to_o be_v that_o 24_o part_n of_o that_o time_n which_o intercede_v between_o two_o vicine_fw-la noon_n or_o appulse_n of_o the_o sun_n to_o the_o same_o semicircle_n of_o the_o meridian_n because_o therefore_o that_o it_o be_v the_o same_o time_n which_o intercede_v between_o the_o two_o meridies_n of_o the_o place_n of_o the_o same_o meridian_n therefore_o also_o the_o 24_o part_n of_o the_o same_o shall_v be_v equal_a and_o the_o same_o in_o all_o and_o on_o that_o account_n they_o shall_v together_o number_v all_o their_o hour_n from_o the_o meridies_n proposition_n ii_o they_o which_o dwell_v in_o the_o divers_a hemisphere_n of_o the_o earth_n which_o the_o aequator_fw-la make_v or_o distinguish_v or_o those_o who_o live_v in_o the_o divers_a part_n or_o quarter_n of_o the_o aequator_fw-la they_o i_o say_v have_v contrary_a season_n of_o the_o year_n at_o the_o same_o time_n and_o the_o same_o season_n in_o a_o different_a time_n of_o the_o year_n so_o that_o in_o one_o hemisphere_n it_o be_v winter_n when_o as_o in_o the_o other_o it_o be_v summer_n and_o when_o the_o spring_n be_v in_o that_o autumn_n be_v in_o this_o make_v of_o the_o different_a season_n which_o the_o aequator_fw-la make_v for_o the_o summer_n begin_v in_o every_o place_n according_a to_o the_o celestial_a course_n viz._n the_o motion_n of_o the_o sun_n when_o he_o obtain_v a_o small_a distance_n from_o the_o vertex_fw-la of_o the_o place_n the_o winter_n when_o a_o great_a distance_n now_o because_o the_o sun_n move_v from_o one_o hemisphere_n to_o the_o other_o thence_o it_o come_v to_o pass_v that_o when_o it_o draw_v near_o the_o place_n of_o one_o hemisphere_n it_o more_o and_o more_o depart_v from_o the_o place_n of_o the_o other_o and_o so_o the_o summer_n of_o one_o hemisphere_n agree_v in_o time_n with_o the_o winter_n of_o another_o and_o the_o spring_n of_o one_o with_o the_o autumn_n of_o another_o in_o the_o place_n of_o the_o torrid_a zone_n the_o vicissitude_n of_o the_o season_n have_v something_o peculiar_a 26._o see_v chap._n 26._o of_o which_o we_o have_v treat_v at_o large_a in_o the_o 26_o chapter_n proposition_n iii_o those_o who_o live_v in_o the_o northern_a hemisphere_n of_o the_o earth_n to_o they_o when_o they_o turn_v their_o face_n towards_o the_o aequator_fw-la the_o east_n be_v on_o the_o left_a hand_n and_o the_o west_n on_o the_o right_n the_o south_n before_o they_o and_o the_o north_n behind_o they_o those_o who_o inhabit_v the_o southern_a hemisphere_n of_o the_o earth_n they_o turn_v their_o face_n to_o the_o aequator_fw-la the_o star_n rise_v on_o their_o right_a hand_n and_o set_v on_o their_o left_a aequator_fw-la of_o those_o
place_n to_o wit_n the_o 31_o of_o december_n if_o in_o that_o place_n it_o be_v the_o first_o of_o january_n and_o saturday_n or_o the_o last_o day_n of_o the_o week_n when_o in_o this_o place_n it_o shall_v be_v sunday_n or_o the_o first_o day_n of_o a_o new_a week_n and_o if_o they_o have_v sail_v round_o the_o earth_n twice_o thrice_o or_o soin_fw-fr time_n they_o shall_v also_o reckon_v so_o many_o day_n less_o this_o be_v a_o matter_n of_o wonder_n and_o admiration_n some_o age_n ago_o to_o mâ—â—â—â—_n and_o other_o but_o the_o frequency_n of_o this_o experiment_n have_v lessehen_fw-ge the_o admination_n and_o have_v administer_v occasion_n to_o mathemnâ—â—â—_n to_o 〈…〉_o the_o cause_n neither_o be_v it_o difficult_a to_o explain_v the_o same_o so_o that_o the_o motion_n of_o the_o sun_n and_o the_o meridian_n of_o the_o place_n of_o the_o earth_n be_v well_o apprehend_v and_o a_o certain_a day_n of_o the_o year_n be_v propose_v â—_o for_o it_o dependetiâ—â—_n the_o diurual_a cirâ—â—â—voluationâ—_n of_o the_o sun_n not_o from_o his_o proper_a nation_n as_o some_o have_v think_v which_o we_o may_v begin_v from_o any_o circle_n but_o for_o our_o more_o easy_a understanding_n it_o be_v very_o convenient_a to_o begin_v from_o the_o meridies_n that_o the_o day_n may_v be_v the_o time_n from_o one_o meridies_n to_o the_o follow_a meridies_n or_o noon_n or_o whilst_o the_o sun_n return_v from_o the_o semicircle_n of_o one_o meridiany_n to_o the_o same_o semicircle_n therefore_o because_o that_o those_o who_o sail_n towards_o the_o east_n or_o rise_v come_v to_o those_o place_n where_o the_o sun_n first_o rise_v and_o make_v his_o meridian_n than_o in_o the_o place_n from_o whence_o they_o depart_v thence_o it_o come_v to_o pass_v that_o the_o sun_n be_v in_o the_o meridian_n of_o the_o place_n to_o which_o they_o have_v arrive_v they_o begin_v to_o reckon_v a_o new_a day_n for_o example_n the_o second_o day_n of_o january_n where_o in_o the_o place_n of_o their_o departure_n hitherto_o they_o have_v number_v the_o first_o day_n of_o january_n if_o that_o they_o set_v sail_n on_o the_o same_o and_o the_o difference_n shall_v be_v one_o or_o two_o hour_n this_o anticipation_n daily_o increase_v until_o they_o come_v towards_o the_o east_n so_o that_o it_o shall_v make_v the_o hour_n of_o half_a a_o day_n when_o they_o come_v to_o the_o opposite_a semicircle_n of_o the_o meridian_n for_o here_o they_o shall_v have_v the_o meridies_n of_o a_o new_a day_n when_o in_o the_o place_n of_o their_o set_n forth_o it_o shall_v be_v the_o midnight_n of_o the_o precede_a day_n and_o where_o they_o shall_v come_v to_o the_o meridian_n 1â—_n degree_n more_o remote_a be_v in_o that_o they_o shall_v have_v the_o meridies_n 13_o hour_n soon_o than_o in_o the_o place_n of_o their_o set_n forth_o and_o when_o again_o they_o shall_v come_v to_o a_o meridian_n more_o remote_a 15_o degree_n there_o they_o shall_v have_v the_o minidiesâ—4_n â—4_z hour_n soon_o than_o in_o the_o place_n of_o their_o set_n forth_o and_o so_o moreover_o as_o they_o shall_v come_v to_o the_o meridian_n or_o place_v more_o remote_a 15_o degree_n they_o shall_v have_v the_o meridies_n 15_o 16_o 17_o hour_n soon_o and_o shall_v begin_v to_o account_v a_o new_a day_n soon_o than_o in_o their_o place_n of_o their_o set_n forth_o so_o that_o when_o at_o length_n they_o shall_v have_v return_v to_o the_o place_n they_o shall_v then_o number_v the_o meridies_n of_o a_o new_a day_n soon_o by_o 24_o hour_n where_o in_o the_o place_n also_o the_o meridies_n be_v which_o yet_o may_v answer_v in_o number_n to_o the_o meridies_n which_o the_o mariner_n have_v the_o former_a day_n but_o it_o be_v contrary_a with_o those_o who_o sail_n towards_o the_o west_n when_o they_o return_v to_o the_o place_n from_o whence_o they_o set_v forth_o for_o by_o how_o much_o the_o more_o they_o recede_v from_o this_o place_n by_o so_o much_o the_o more_o they_o shall_v have_v the_o sun_n late_a in_o the_o meridies_n because_o they_o be_v in_o a_o more_o remote_a meridian_n and_o therefore_o do_v late_a begin_v the_o account_n of_o their_o new_a day_n than_o in_o the_o place_n whence_o they_o set_v forth_o so_o that_o this_o proposition_n take_v away_o a_o whole_a day_n in_o the_o return_n corollary_n 1._o corollary_n corollary_n if_o that_o two_o at_o the_o same_o time_n set_v forth_o from_o any_o place_n of_o the_o earth_n the_o one_o towards_o the_o east_n the_o other_o towards_o the_o west_n and_o they_o shall_v return_v both_o together_o to_o the_o same_o place_n the_o whole_a earth_n be_v sail_v about_o he_o that_o take_v his_o journey_n towards_o the_o east_n shall_v reckon_v two_o day_n more_o than_o he_o which_o take_v it_o towards_o the_o west_n and_o if_o they_o have_v sail_v the_o earth_n about_o twice_o they_o shall_v reckon_v a_o day_n more_o if_o thrice_o 6_o day_n more_o etc._n etc._n but_o the_o day_n of_o these_o be_v long_o of_o those_o short_a corollary_n 2._o the_o same_o will_v happen_v if_o that_o in_o any_o place_n of_o the_o earth_n any_o two_o meet_v one_o the_o other_o and_o from_o hence_o first_o and_o then_o often_o afterward_o be_v this_o apparent_o discover_v for_o when_o ferdinando_n magellanes_n by_o a_o direct_a course_n into_o the_o west_n have_v enter_v the_o indies_n by_o the_o strait_n denominate_v from_o he_o it_o be_v find_v out_o by_o the_o mariner_n which_o there_o meet_v with_o other_o european_n bring_v towards_o the_o east_n by_o a_o ordinary_a journey_n that_o the_o kaleudar_n or_o the_o numeration_n of_o the_o day_n differ_v a_o whole_a day_n the_o same_o have_v be_v observe_v by_o all_o which_o have_v sail_v round_o the_o earth_n when_o they_o have_v come_v into_o the_o indies_n corillary_n 10._o this_o also_o be_v the_o cause_n that_o in_o two_o near_a place_n the_o account_n of_o a_o different_a day_n 〈◊〉_d observe_v viz._n in_o the_o philippine_n isle_n and_o in_o the_o city_n of_o marrow_n on_o the_o chaste_a of_o china_n isle_n the_o day_n in_o macoa_n not_o the_o same_o as_o in_o the_o philippine_n isle_n although_o they_o lie_v under_o the_o same_o meridian_n yet_o they_o reckon_v the_o day_n of_o the_o calendar_n soon_o in_o macoa_n than_o in_o the_o philippine_n isle_n and_o that_o by_o the_o anticipation_n of_o one_o day_n so_o that_o it_o be_v sunday_n in_o moacoa_n when_o but_o saturday_n in_o the_o philippine_n isle_n the_o cause_n of_o this_o diversity_n be_v this_o that_o the_o rortuâ—â—â—_n possess_v the_o city_n of_o macoa_n come_v thither_o from_o europe_n towards_o the_o east_n by_o asseccourse_n out_o of_o india_n but_o the_o spaniard_n which_o possess_v the_o philippine_n isle_n come_v thither_o from_o europe_n towards_o the_o west_n by_o a_o set_a course_n from_o america_n therefore_o it_o be_v in_o fer_v from_o the_o precede_a corollary_n because_o here_o in_o mâ—â—a_n and_o the_o philippines_n they_o almost_o meet_v 〈◊〉_d â—ome_v into_o the_o same_o meridian_n that_o they_o shall_v â—â—ceâ—d_v by_o one_o day_n the_o day_n of_o the_o other_o chap._n xxx_o of_o the_o various_a rise_v set_v altitude_n of_o the_o sun_n and_o other_o appearance_n in_o the_o divers_a part_n of_o the_o earth_n proposition_n 1._o to_o place_n or_o hang_v a_o terrestrial_a globe_n so_o that_o when_o the_o sun_n shine_v those_o part_n of_o the_o globe_n may_v be_v illuminate_v which_o the_o sun_n enlighten_v in_o the_o earth_n at_o any_o time_n and_o that_o it_o also_o may_v appear_v unto_o what_o people_n the_o sun_n rise_v and_o to_o who_o it_o set_v to_o who_o it_o make_v the_o meridies_n and_o to_o who_o it_o be_v altogether_o abscond_v to_o what_o place_n it_o be_v vertical_a also_o to_o find_v the_o place_n of_o the_o sun_n in_o the_o ecliptic_a and_o the_o day_n of_o the_o year_n also_o the_o hour_n of_o the_o place_n globe_n the_o motion_n of_o the_o sun_n show_v by_o the_o globe_n let_v the_o place_n in_o which_o the_o globe_n be_v place_v be_v note_v on_o the_o globe_n and_o bring_v to_o the_o meridian_n and_o let_v a_o mark_n be_v make_v with_o a_o chalk_n on_o that_o point_n of_o the_o meridian_n therefore_o if_o the_o globe_n be_v to_o be_v hang_v by_o a_o cord_n the_o cord_n must_v be_v tie_v to_o the_o point_n of_o the_o meridian_n but_o if_o that_o it_o must_v be_v place_v firm_o in_o any_o place_n a_o iron_n piâ—_n must_v be_v bring_v through_o the_o centre_n of_o the_o globe_n even_o to_o the_o opposite_a point_n and_o this_o iron_n pin_n must_v be_v close_o fix_v to_o the_o horizontal_n plain_a that_o it_o may_v remain_v immovable_a the_o globe_n must_v be_v dispose_v according_a to_o the_o four_o quarter_n of_o the_o world_n viz_o that_o the_o north_n part_n of_o the_o globe_n may_v regard_v the_o north_n part_n of_o the_o earth_n
the_o moon_n from_o the_o earth_n in_o her_o full_a be_v 64_o semidiamiter_n of_o the_o earth_n therefore_o n_n l_o shall_v be_v 11_o 15_o and_o the_o proportion_n shall_v be_v make_v thus_o as_o 64_o be_v to_o a_o 11_o 15_o so_o be_v 10000000_o to_o 114583_o which_o be_v the_o sign_n 39_o minute_n therefore_o the_o arch_n h_o l_o be_v less_o than_o 90_o deg._n 39_o minute_n and_o therefore_o 89_o deg._n 21._o minute_n therefore_o in_o the_o place_n to_o which_o the_o moon_n be_v vertical_a constitute_v in_o the_o vertex_fw-la of_o the_o horizon_n the_o people_n to_o who_o the_o moon_n than_o rise_v and_o set_v shall_v not_o be_v those_o which_o be_v behold_v in_o the_o very_a horizon_n but_o those_o in_o the_o parallel_n of_o the_o horizon_n distant_a from_o it_o 39_o minute_n proposition_n xx._n the_o declination_n of_o any_o star_n be_v give_v to_o exhibit_v all_o the_o place_n on_o the_o terrestrial_a globe_n unto_o which_o that_o star_n be_v vertical_a in_o his_o diurnal_a circumvolution_n star_n of_o the_o declination_n of_o star_n let_v the_o degree_n of_o the_o give_v declination_n of_o the_o aequator_fw-la be_v number_v on_o the_o brazen_a meridian_n and_o in_o the_o term_n of_o the_o numeration_n make_v a_o sign_n with_o a_o chalk_n or_o let_v a_o parallel_n be_v note_v on_o the_o globe_n by_o a_o chalk_n apply_v and_o the_o globe_n turn_v round_o all_o the_o place_n situate_v in_o this_o parallel_n be_v those_o which_o pass_v through_o the_o note_a point_n of_o the_o meridian_n the_o vertex_fw-la of_o which_o that_o star_n in_o every_o diurnal_a circumvolution_n shall_v possess_v for_o some_o moment_n of_o time_n proposition_n xxi_o the_o direct_a ascension_n of_o any_o star_n be_v give_v and_o the_o hour_n of_o the_o give_v day_n be_v give_v to_o show_v all_o those_o place_n on_o the_o terrestrial_a globe_n on_o who_o meridian_n the_o star_n be_v at_o the_o give_v hour_n star_n concern_v the_o ascension_n of_o any_o star_n let_v the_o degree_n give_v of_o the_o right_a ascension_n of_o the_o star_n be_v number_v in_o the_o aequator_fw-la and_o let_v a_o mark_n be_v make_v with_o chalk_n let_v also_o the_o place_n of_o the_o sun_n find_v from_o the_o give_v day_n be_v bring_v to_o the_o meridian_n and_o let_v the_o degree_n of_o the_o aequator_fw-la in_o the_o meridian_n be_v note_v let_v the_o arch_n of_o the_o aequator_fw-la intercept_v between_o these_o two_o note_a point_n be_v observe_v or_o which_o be_v the_o same_o let_v it_o be_v change_v into_o hour_n or_o scruple_n of_o hour_n for_o they_o show_v the_o time_n which_o intercede_v between_o the_o appulse_n of_o the_o sun_n and_o that_o star_n at_o any_o meridian_n this_o do_v let_v the_o place_n be_v find_v in_o who_o meridian_n the_o sun_n be_v at_o the_o give_v hour_n or_o scruple_n of_o a_o hour_n and_o the_o index_n be_v place_v at_o 12_o let_v the_o globe_n be_v turn_v until_o the_o index_n show_v the_o hour_n before_o note_v or_o until_o the_o note_a degree_n of_o the_o aequator_fw-la have_v pass_v the_o meridian_n in_o this_o situation_n of_o the_o globe_n all_o those_o place_n which_o be_v discover_v subject_a to_o the_o meridian_n be_v those_o seek_v for_o to_o wit_n those_o in_o who_o meridian_n the_o star_n be_v at_o the_o give_v time_n proposition_n xxii_o the_o right_a declination_n and_o ascension_n of_o a_o star_n be_v give_v and_o any_o time_n of_o the_o day_n be_v give_v to_o exhibit_v on_o the_o globe_n first_o that_o place_n to_o which_o the_o star_n be_v then_o vertical_a second_o all_o those_o place_n above_o who_o orison_n the_o star_n then_o shall_v be_v and_o those_o beneath_o who_o orison_n the_o same_o shall_v then_o be_v also_o those_o in_o who_o meridian_n it_o shall_v be_v at_o the_o meridies_n and_o in_o who_o meridian_n it_o shall_v be_v at_o midnight_n also_o in_o all_o those_o place_n in_o which_o the_o star_n shall_v then_o arise_v and_o all_o those_o in_o which_o it_o shall_v then_o set_v from_o the_o direct_a ascension_n let_v the_o place_n be_v find_v in_o who_o meridian_n the_o star_n be_v at_o the_o time_n give_v and_o those_o may_v remain_v subject_a to_o the_o brazen_a meridian_n then_o let_v the_o degree_n of_o the_o give_v declination_n from_o the_o aequator_fw-la towards_o the_o pole_n be_v number_v and_o the_o point_n of_o the_o globe_n which_o be_v subject_a to_o the_o term_n of_o the_o numeration_n be_v note_v for_o this_o be_v the_o place_n unto_o which_o the_o star_n shall_v be_v vertical_a at_o the_o time_n let_v it_o be_v place_v in_o the_o vertex_fw-la of_o the_o horizon_n the_o pole_n be_v elevate_v for_o latitude_n so_o those_o place_n which_o be_v subject_a to_o the_o superior_a semicircle_n of_o the_o meridian_n shall_v have_v that_o star_n at_o the_o give_v time_n in_o the_o meridian_n of_o the_o meridies_n but_o those_o place_n which_o be_v behold_v in_o the_o inseriour_a semicircle_n of_o the_o meridian_n shall_v have_v it_o in_o the_o meridian_n of_o midnight_n and_o those_o place_n which_o be_v behold_v in_o the_o oriental_a semicircle_n of_o the_o horizon_n be_v those_o to_o which_o the_o star_n set_v at_o once_o at_o that_o time_n but_o to_o those_o which_o lie_v in_o the_o occidental_a semicircle_n of_o the_o horizon_n the_o star_n than_o arise_v together_o proposition_n xxiii_o to_o exhibit_v on_o the_o terrestrial_a globe_n all_o those_o place_n in_o which_o the_o sun_n moon_n and_o all_o the_o star_n for_o so_o long_a time_n be_v obscure_v beneath_o the_o horizon_n as_o they_o remain_v to_o we_o or_o any_o other_o give_v place_n above_o the_o horizon_n let_v our_o place_n or_o any_o other_o give_v place_n be_v bring_v to_o the_o meridian_n and_o let_v the_o parallel_n of_o the_o antaeci_n be_v find_v all_o the_o place_n situate_v in_o this_o parallel_n be_v these_o seek_v for_o as_o may_v be_v show_v on_o the_o globe_n if_o that_o the_o pole_n be_v elevate_v for_o the_o latitude_n of_o the_o place_n give_v and_o depress_v for_o the_o latitude_n of_o the_o parallel_n find_v proposition_n xxiv_o to_o show_v the_o cause_n why_o the_o day_n soon_o augment_v and_o decrease_v about_o the_o aequinox_n and_o more_o slow_o about_o the_o solstice_n where_o for_o many_o day_n there_o seem_v to_o be_v no_o increase_n or_o decrease_v and_o that_o except_o the_o aequator_fw-la in_o all_o the_o place_n of_o the_o earth_n and_o so_o much_o the_o more_o by_o how_o much_o they_o be_v more_o remove_v from_o the_o aequator_fw-la solstice_n concern_v the_o augment_v and_o decrease_v of_o the_o day_n about_o the_o aequinox_n and_o solstice_n for_o example_n let_v we_o take_v 30_o day_n before_o the_o vernal_a aequinox_n from_o the_o 20_o of_o february_n to_o the_o 21_o of_o march_n and_o 30_o day_n after_o the_o solstice_n of_o winter_n or_o the_o solstice_n of_o capricorn_n from_o the_o 21_o of_o december_n to_o the_o 21_o of_o january_n here_o the_o cause_n must_v be_v show_v why_o the_o excess_n of_o the_o 21_o of_o march_n or_o stay_v of_o the_o sun_n above_o the_o horizon_n above_o the_o longitude_n of_o the_o 20_o of_o february_n be_v much_o great_a than_o the_o excess_n of_o the_o 21_o of_o january_n be_v above_o the_o 21_o of_o december_n let_v the_o place_n of_o the_o sun_n for_o every_o one_o of_o those_o 4_o day_n be_v note_v on_o the_o ecliptic_a of_o the_o globe_n to_o wit_n the_o first_o degree_n of_o pisces_fw-la of_o aries_n capricorn_n and_o aquarius_n and_o let_v the_o parallel_n of_o the_o sun_n be_v describe_v whereof_o two_o be_v extant_a in_o the_o globe_n viz._n the_o aequator_fw-la and_o the_o tropic_a of_o capricorn_n therefore_o it_o will_v be_v apparent_a that_o the_o aequator_fw-la or_o parallel_v of_o the_o sun_n in_o the_o 1_o of_o aries_n be_v absent_a a_o far_o long_a interval_n from_o the_o parallel_n of_o the_o sun_n in_o the_o 1_o of_o pisces_fw-la than_o the_o parallel_n of_o the_o sun_n in_o the_o 1_o of_o aquarius_n from_o the_o parallel_n in_o the_o 1_o of_o capricorn_n thence_o it_o come_v to_o pass_v that_o not_o much_o a_o big_a portion_n of_o the_o parallel_n of_o the_o 1_o of_o aquarius_n be_v above_o the_o horizon_n than_o of_o the_o parallel_n of_o the_o 1_o of_o capricorn_n or_o of_o the_o tropic_a of_o capricorn_n itself_o now_o these_o part_n show_v the_o stay_n of_o the_o sun_n above_o the_o horizon_n in_o those_o day_n but_o the_o portion_n of_o the_o aequator_fw-la or_o parallel_v of_o the_o 1_o of_o aries_n that_o be_v above_o the_o horizon_n be_v much_o big_a than_o the_o portion_n of_o the_o parallel_n of_o the_o 1_o of_o pisces_fw-la now_o because_o these_o arch_n be_v above_o the_o horizon_n denote_v the_o stay_n of_o the_o sun_n above_o the_o horizon_n for_o this_o be_v the_o longitude_n of_o the_o day_n hence_o we_o
collect_v the_o increase_n or_o decrease_v of_o the_o declination_n of_o the_o sun_n from_o the_o aequator_fw-la or_o of_o the_o point_n of_o the_o ecliptic_a to_o be_v the_o cause_n of_o this_o unequal_a increase_n of_o the_o day_n but_o in_o the_o place_n of_o the_o aequator_fw-la itself_o all_o day_n be_v equal_a and_o therefore_o here_o be_v no_o increase_n or_o decrease_v although_o the_o sun_n seem_v to_o stand_v about_o the_o day_n of_o the_o solstice_n that_o be_v a_o little_a change_v the_o meridian_n altitude_n now_o it_o be_v manifest_a that_o the_o great_a inequality_n of_o this_o increase_n and_o decrease_v of_o the_o day_n be_v to_o be_v find_v where_o the_o place_n be_v more_o remote_a from_o the_o aequator_fw-la if_o that_o the_o pole_n be_v elevate_v for_o the_o distance_n of_o the_o divers_a place_n from_o the_o aequator_fw-la and_o the_o arch_n of_o the_o parallel_n elevate_v above_o the_o horizon_n be_v consider_v in_o both_o situation_n proposition_n xxv_o in_o the_o place_n of_o the_o torrid_a zone_n or_o those_o situate_v in_o the_o aequator_fw-la or_o in_o the_o midst_n of_o the_o torrid_a zone_n the_o sun_n much_o soon_o depart_v from_o the_o vertex_fw-la than_o in_o place_n near_o the_o tropic_a of_o cancer_n or_o capricorn_n zone_n of_o the_o departure_n of_o the_o sun_n in_o place_n of_o the_o torrid_a zone_n let_v any_o degree_n in_o the_o brazen_a meridian_n of_o the_o globe_n be_v note_v for_o example_n the_o five_o degree_n from_o the_o aequator_fw-la and_o another_o place_n in_o the_o torrid_a zone_n be_v take_v for_o example_n one_o who_o latitude_n be_v 18_o degree_n let_v this_o be_v bring_v to_o the_o meridian_n make_v a_o sign_n with_o a_o chalk_n in_o this_o and_o let_v 5_o degree_n from_o this_o towards_o the_o tropic_a be_v reckon_v on_o the_o brazen_a meridian_n and_o here_o again_o make_v a_o sign_n with_o a_o chalk_n we_o must_v show_v that_o the_o sun_n in_o few_o day_n be_v remove_v from_o the_o vertex_fw-la of_o 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mode_n we_o shall_v find_v the_o same_o in_o any_o parallel_n which_o the_o sun_n and_o star_n do_v describe_v by_o a_o diurnal_a motion_n without_o the_o aequator_fw-la proposition_n v._o the_o give_a hour_n be_v give_v at_o one_o and_o the_o same_o time_n or_o at_o one_o and_o the_o same_o celestial_a appearance_n as_o also_o the_o horary_a minute_n of_o our_o place_n and_o that_o of_o the_o other_o place_n to_o find_v out_o how_o many_o degree_n the_o meridian_n of_o our_o place_n be_v distant_a from_o the_o meridian_n of_o the_o other_o place_n that_o be_v to_o find_v the_o longitude_n of_o our_o place_n from_o that_o place_n the_o solution_n be_v easy_a from_o what_o have_v be_v say_v already_o by_o reason_n that_o it_o have_v be_v show_v that_o if_o one_o place_n anticipate_v one_o hour_n of_o the_o account_n of_o the_o other_o place_n the_o meridian_n of_o that_o be_v more_o oriental_a than_o the_o meridian_n of_o this_o by_o 15_o degree_n if_o two_o hour_n by_o 30_o degree_n 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the_o oriental_a and_o occidental_a quarter_n which_o phrase_n be_v very_o void_a of_o the_o matter_n so_o that_o it_o be_v manifest_v what_o a_o power_n the_o vulgar_a have_v take_v in_o introduce_v new_a phrase_n though_o very_o improper_a for_o by_o this_o phrase_n it_o come_v to_o pass_v that_o person_n unskilful_a in_o geography_n and_o navigation_n be_v ignorant_a what_o the_o mariner_n mean_v when_o they_o speak_v of_o find_v out_o the_o east_n and_o west_n for_o most_o think_v that_o they_o seek_v what_o the_o word_n import_v viz._n the_o eastern_a and_o western_a quarter_n which_o yet_o be_v false_a and_o unworthy_a the_o demand_n for_o they_o know_v these_o quarter_n when_o they_o be_v in_o any_o place_n of_o the_o sea_n by_o the_o benefit_n of_o the_o same_o magnetic_a needle_n which_o show_v the_o north_n and_o south_n because_o in_o the_o mariner_n compass_n all_o the_o quarter_n be_v note_v and_o without_o the_o compass_n the_o plaga_fw-la of_o the_o north_n and_o south_n 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and_o last_o in_o 16_o day_n with_o 18_o hour_n the_o progress_n of_o their_o motion_n must_v be_v calculate_v at_o every_o hour_n and_o therefore_o it_o be_v not_o find_v in_o the_o common_a ephemerides_n but_o you_o have_v their_o ephemerides_n in_o other_o book_n therefore_o if_o we_o desire_v by_o the_o help_n of_o their_o motion_n to_o find_v the_o longitude_n of_o a_o place_n we_o must_v make_v use_n of_o a_o most_o perfect_a astroscope_n and_o in_o the_o night_n turn_v it_o to_o jupiter_n if_o he_o be_v above_o the_o horizon_n of_o that_o place_n to_o observe_v the_o conjunction_n of_o these_o two_o planet_n or_o the_o conjunction_n with_o jupiter_n or_o the_o like_a appearance_n and_o at_o that_o moment_n of_o time_n to_o find_v also_o the_o hour_n of_o the_o place_n from_o the_o meridian_n situation_n or_o altitude_n of_o any_o star_n then_o the_o ephemerides_n of_o these_o companion_n of_o jupiter_n must_v be_v consult_v and_o the_o hour_n and_o scruple_n of_o hour_n thence_o 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compliment_n of_o the_o elevation_n of_o the_o pole_n or_o the_o distance_n of_o the_o place_n from_o the_o pole_n the_o compliment_n of_o the_o declination_n of_o the_o sun_n to_o that_o day_n and_o the_o compliment_n of_o the_o observe_v altitude_n of_o the_o sun_n from_o these_o three_o side_n i_o say_v of_o the_o spherical_a triangle_n let_v any_o angle_n be_v find_v out_o in_o this_o that_o must_v be_v find_v which_o be_v comprehend_v from_o the_o compliment_n of_o the_o declination_n and_o elevation_n of_o the_o pole_n or_o that_o which_o be_v oppose_v to_o the_o compliment_n of_o the_o altitude_n of_o the_o sun_n which_o how_o it_o may_v be_v do_v let_v those_o that_o be_v studious_a search_n from_o the_o doctrine_n of_o trigonometry_n how_o the_o hour_n may_v be_v find_v by_o the_o globe_n from_o the_o altitude_n of_o the_o sun_n at_o any_o time_n 3._o see_v chap._n 29._o proposition_n 3._o we_o have_v show_v in_o the_o 29_o chap._n and_o the_o 3d._n prop._n which_o may_v satisfy_v most_o student_n in_o geography_n when_o they_o do_v not_o so_o much_o as_o demand_v a_o exact_a part_n of_o a_o hour_n but_o in_o navigation_n it_o must_v be_v calculate_v except_o some_o who_o resolve_v it_o by_o a_o catholic_n planisphere_n but_o i_o fear_v over_o much_o defect_n in_o horary_a scruple_n in_o the_o night_n time_n the_o star_n must_v be_v apply_v as_o have_v be_v say_v and_o because_o for_o the_o most_o part_n one_o or_o other_o of_o they_o may_v be_v have_v in_o the_o meridian_n therefore_o there_o be_v no_o necessity_n to_o exhibit_v another_o without_o the_o meridian_n but_o it_o be_v best_o to_o elect_a one_o in_o the_o meridian_n or_o to_o expect_v it_o at_o the_o time_n in_o which_o some_o star_n nigh_o to_o the_o meridian_n come_v unto_o it_o then_o assume_v from_o the_o astronomical_a table_n the_o direct_a ascension_n of_o that_o star_n and_o also_o the_o direct_a ascension_n of_o the_o sun_n of_o that_o point_n of_o the_o ecliptic_a in_o which_o the_o sun_n be_v on_o that_o day_n and_o if_o the_o direct_a ascension_n of_o the_o sun_n shall_v be_v lesser_a let_v it_o be_v substract_v from_o the_o ascension_n of_o the_o star_n if_o great_a let_v his_o compliment_n be_v take_v at_o 360_o degree_n and_o let_v this_o be_v add_v to_o the_o ascension_n of_o the_o star_n change_v the_o degree_n thus_o take_v into_o hour_n and_o scruple_n of_o hour_n these_o shall_v those_o demand_v at_o the_o time_n of_o the_o observation_n proposition_n viii_o to_o show_v other_o modes_n of_o find_v out_o of_o longitude_n longitude_n other_o way_n for_o the_o find_v out_o of_o longitude_n which_o exhibit_v not_o primary_o and_o proper_o the_o longitude_n but_o the_o very_a place_n of_o the_o point_n who_o longitude_n or_o meridian_n be_v only_o demand_v yet_o it_o be_v commodious_a to_o use_v for_o the_o constitute_n or_o examine_v of_o the_o longitude_n of_o terrestrial_a place_n the_o first_o mode_n the_o distance_n and_o latitude_n of_o two_o place_n be_v give_v to_o find_v the_o longitude_n of_o one_o place_n from_o the_o other_o but_o in_o map_n which_o mariner_n use_v and_o in_o globès_n to_o find_v the_o point_n of_o a_o unknown_a place_n if_o that_o another_o place_n be_v give_v for_o there_o be_v always_o one_o place_n know_v or_o give_v mode_n the_o first_o mode_n if_o that_o by_o a_o trigonometrick_a calculation_n you_o will_v find_v out_o the_o accurate_a longitude_n you_o must_v find_v the_o angle_n on_o the_o spherical_a triangle_n all_o who_o side_n be_v give_v viz_o the_o distance_n be_v turn_v into_o degree_n the_o compliment_n of_o latitude_n or_o distance_n of_o the_o place_n from_o the_o pole_n the_o computation_n must_v be_v make_v from_o the_o two_o side_n of_o the_o comprehend_v angle_n which_o be_v the_o compliment_n of_o latitude_n or_o which_o be_v the_o arch_n intercept_v between_o two_o place_n the_o method_n must_v be_v take_v from_o spherical_a trigonometry_n but_o in_o mariner_n map_n and_o the_o globe_n the_o unknown_a place_n of_o the_o point_n be_v thus_o find_v from_o the_o give_v map_n mariner_n map_n in_o mariner_n map_n the_o give_v distance_n be_v take_v by_o the_o interval_n of_o the_o compass_n from_o the_o opposite_a scale_n and_o one_o foot_n be_v fix_v on_o the_o give_v place_n the_o other_o be_v turn_v round_o until_o it_o touch_v or_o cut_v the_o parallel_n of_o the_o other_o latitude_n which_o be_v that_o of_o the_o unknown_a place_n the_o point_n of_o the_o contact_n or_o section_n be_v the_o place_n demand_v or_o unknown_a but_o other_o map_n be_v unfit_a for_o this_o purpose_n neither_o do_v the_o mariner_n chart_n exhibit_v a_o accurate_a distance_n of_o place_n on_o the_o globe_n let_v the_o give_v distance_n be_v turn_v into_o degree_n and_o minute_n and_o let_v they_o be_v take_v by_o the_o interval_n of_o the_o compass_n on_o the_o aequator_fw-la then_o let_v the_o degree_n of_o latitude_n of_o the_o unknown_a place_n be_v note_v let_v one_o foot_n of_o the_o compass_n be_v place_v on_o the_o give_v place_n and_o let_v the_o globe_n be_v turn_v until_o one_o extremity_n of_o the_o foot_n touch_v the_o point_n of_o the_o globe_n subject_n to_o the_o note_a meridian_n sign_n that_o shall_v be_v the_o place_n demand_v or_o let_v the_o parallel_n of_o the_o unknown_a place_n be_v describe_v with_o chalk_n and_o then_o one_o foot_n of_o the_o compass_n be_v fix_v on_o the_o give_v place_n let_v the_o other_o be_v turn_v round_o until_o it_o cut_v that_o parallel_n or_o touch_v it_o this_o point_n of_o the_o section_n be_v the_o place_n seek_v for_o who_o longitude_n be_v then_o reckon_v in_o the_o aequator_fw-la the_o second_o mode_n a_o quarter_n be_v give_v in_o which_o any_o place_n unknown_a that_o be_v who_o situation_n be_v unknown_a do_v lie_v from_o the_o note_a place_n or_o place_n give_v and_o the_o latitude_n of_o both_o place_n be_v give_v to_o find_v the_o longitude_n of_o the_o unknown_a place_n from_o the_o place_n know_v and_o to_o exhibit_v the_o place_n on_o the_o globe_n and_o mariner_n chart._n mode_n the_o second_o mode_n by_o the_o give_a place_n we_o understand_v here_o the_o angle_n intercept_v between_o the_o meridian_n of_o either_o place_n and_o the_o line_n draw_v from_o the_o one_o place_n to_o the_o other_o which_o be_v more_o commodious_o explain_v on_o the_o globe_n or_o by_o a_o diagram_n if_o therefore_o by_o calculation_n you_o will_v find_v out_o the_o longitude_n of_o one_o place_n from_o the_o other_o the_o spherical_a triangle_n must_v be_v solve_v in_o which_o there_o be_v two_o side_n give_v to_o wit_n the_o compliment_n of_o latitude_n of_o both_o place_n and_o the_o angle_n adjacent_a to_o the_o give_v side_n of_o either_o but_o the_o angle_n comprehend_v from_o the_o two_o give_v side_n be_v that_o demand_v for_o this_o will_v exhibit_v the_o seek_v for_o longitude_n but_o in_o a_o globe_n and_o mariner_n chart_n it_o be_v not_o needful_a to_o find_v out_o longitude_n neither_o can_v it_o at_o the_o first_o be_v find_v out_o but_o the_o place_n unknown_a be_v find_v from_o the_o give_v place_n chart_n not_o needful_a to_o find_v out_o longitude_n in_o a_o globe_n and_o in_o mariner_n chart_n in_o the_o globe_n let_v the_o place_n be_v bring_v to_o the_o meridian_n let_v the_o pole_n be_v elevate_v for_o its_o latitude_n and_o let_v the_o vertical_a quadrant_n be_v apply_v to_o it_o let_v the_o parallel_n be_v draw_v with_o chalk_n at_o the_o latitude_n of_o the_o other_o place_n unknown_a then_o let_v the_o extremity_n of_o the_o quadrant_n be_v apply_v to_o the_o give_v plaga_fw-la of_o the_o horizon_n viz._n in_o which_o the_o other_o unknown_a place_n lie_v from_o the_o know_v the_o point_n of_o the_o parallel_n where_o the_o quadrant_n cut_v or_o touch_v it_o be_v the_o place_n seek_v for_o who_o longitude_n shall_v be_v reckon_v in_o the_o aequator_fw-la in_o mariner_n chart_n let_v the_o parallel_n be_v draw_v to_o the_o latitude_n of_o the_o unknown_a place_n then_o from_o the_o give_v place_n let_v a_o line_n be_v draw_v for_o the_o give_v quarter_n the_o point_n where_o this_o cut_v the_o parallel_n be_v the_o place_n seek_v but_o if_o the_o loxodromic_a plaga_fw-la be_v give_v we_o shall_v do_v otherwise_o of_o which_o in_o the_o 39_o chapter_n the_o three_o mode_n a_o quarter_n be_v give_v and_o the_o distance_n of_o one_o unknown_a place_n from_o the_o other_o who_o latitude_n be_v give_v to_o find_v out_o the_o longitude_n of_o that_o place_n from_o this_o but_o on_o the_o globe_n and_o map_n if_o this_o place_n be_v give_v to_o exhibit_v the_o situation_n of_o that_o mode_n the_o three_o mode_n if_o you_o desire_v to_o find_v it_o by_o calculation_n two_o angle_n be_v give_v in_o the_o spherical_a triangle_n the_o compliment_n of_o
the_o shore_n and_o in_o the_o harbour_n as_o also_o great_a ship_n come_v to_o zealand_n than_o to_o holland_n proposition_n v._o if_o a_o ship_n be_v so_o burden_v that_o its_o weight_n or_o gravity_n be_v almost_o equal_a to_o the_o weight_n or_o gravity_n of_o the_o sea_n water_n equal_a to_o the_o capacity_n of_o the_o ship_n yet_o it_o sink_v not_o in_o the_o sea_n but_o when_o it_o shall_v be_v bring_v into_o any_o river_n it_o sink_v to_o the_o bottom_n the_o reason_n be_v because_o the_o water_n of_o rivers_n be_v light_a than_o the_o water_n of_o the_o sea_n therefore_o if_o the_o weight_n of_o the_o lade_a ship_n be_v almost_o equal_a to_o the_o gravity_n of_o the_o marine_a water_n therefore_o it_o shall_v be_v great_a than_o the_o gravity_n of_o river_n water_n and_o so_o the_o ship_n shall_v be_v sink_v in_o the_o river_n or_o carry_v to_o the_o bottom_n many_o ship_n for_o this_o reason_n have_v perish_v which_o have_v be_v over_o lade_v by_o unskilful_a mariner_n or_o not_o unburden_v in_o the_o mouth_n of_o the_o river_n now_o how_o much_o this_o gravity_n shall_v be_v be_v know_v from_o the_o proportion_n of_o the_o sea_n water_n to_o river_n water_n proposition_n vi_o any_o body_n swim_v on_o the_o water_n have_v that_o weight_n that_o the_o watery_a mole_n have_v equal_a to_o the_o demergent_a part_n of_o this_o body_n corollary_n the_o part_n of_o the_o ship_n be_v give_v which_o be_v under_o water_n the_o weight_n of_o the_o whole_a burden_a ship_n may_v be_v find_v for_o the_o gravity_n of_o the_o water_n be_v know_v or_o be_v easy_a to_o be_v find_v for_o example_n one_o cubick_a foot_n of_o water_n be_v 70_o li._n and_o therefore_o if_o the_o part_n of_o the_o ship_n under_o water_n be_v 2000_o cubick_a foot_n therefore_o the_o gravity_n of_o the_o watery_a mole_n which_o be_v equal_a to_o the_o part_n of_o the_o ship_n under_o water_n shall_v be_v 140000_o li._n so_o much_o also_o shall_v be_v the_o weight_n of_o the_o ship_n jade_v proposition_n vii_o a_o ship_n be_v most_o common_o account_v commodious_o to_o carry_v that_o quantity_n of_o burden_n who_o gravity_n be_v equal_a to_o the_o gravity_n of_o half_a the_o mole_n of_o water_n which_o the_o ship_n can_v contain_v for_o example_n if_o the_o ship_n can_v carry_v 500000_o tun_n of_o water_n whereof_o every_o one_o be_v account_v at_o 2000_o li._n weight_n that_o be_v if_o it_o contain_v the_o water_n of_o 1000000000_o li._n you_o may_v convenient_o lade_v it_o with_o the_o burden_n of_o 250000_o tun_n 1000000000._o in_o this_o sense_n you_o must_v understand_v it_o when_o they_o say_v that_o ship_n be_v so_o many_o tun_n or_o carry_v so_o many_o last_v the_o spanish_a carract_n carry_v 1200_o last_n the_o great_a holland_n indian_a ship_n 800_o last_n proposition_n viii_o by_o how_o much_o the_o weight_n of_o the_o ship_n jade_v be_v great_a by_o so_o much_o the_o less_o it_o be_v toss_v with_o storm_n and_o tempest_n lade_v a_o jade_a ship_n be_v not_o so_o subject_a to_o be_v toss_v in_o tempest_n as_o when_o not_o lade_v ship_n of_o 2000_o tun_n be_v not_o in_o danger_n of_o those_o tempest_n which_o be_v vexatious_a to_o ship_n of_o 300_o or_o 500_o tun_n much_o more_o may_v be_v say_v but_o this_o may_v suffice_v for_o element_n chap._n xxxvii_o of_o the_o three_o and_o chief_a part_n of_o the_o nautick_a aâ—t_n viz._n the_o art_n of_o guide_v or_o navigate_a of_o a_o ship_n and_o its_o subdivision_n of_o the_o four_o part_n proposition_n i._o that_o be_v term_v the_o art_n of_o guide_v or_o navigate_a of_o a_o ship_n which_o teach_v unto_o what_o quarter_n a_o ship_n be_v to_o be_v guide_v in_o any_o situation_n of_o it_o in_o the_o sea_n that_o it_o may_v come_v to_o the_o purpose_a place_n without_o danger_n i_o make_v four_o part_n of_o it_o ship_n of_o the_o guide_v or_o steer_v of_o ship_n 1._o special_a geography_n that_o be_v the_o knowledge_n of_o a_o space_n intercept_v between_o two_o place_n and_o the_o property_n of_o the_o same_o 2._o the_o knowledge_n of_o the_o quarter_n in_o every_o place_n 3._o the_o cognition_n of_o the_o line_n by_o which_o the_o ship_n be_v to_o be_v bring_v from_o one_o place_n to_o the_o other_o for_o there_o be_v between_o every_o two_o place_n infinite_a intercept_v line_n this_o part_n be_v term_v histriodromice_n 4._o the_o knowledge_n of_o the_o situation_n of_o every_o place_n unto_o which_o by_o sail_v we_o arrive_v or_o how_o these_o place_n be_v situate_v unto_o that_o place_n unto_o which_o the_o ship_n be_v to_o be_v direct_v this_o be_v the_o chief_a part_n of_o the_o art_n of_o sail_v proposition_n ii_o the_o cognition_n of_o the_o intermedial_a space_n comprehend_v these_o thing_n map_n thing_n observe_v from_o special_a geography_n and_o nautical_a map_n 1._o the_o situation_n of_o the_o place_n the_o procurrence_n of_o angle_n the_o bend_n of_o the_o shore_n the_o aspect_n of_o promontory_n mountain_n bay_n the_o depth_n of_o water_n the_o sight_n of_o island_n and_o coast_n of_o land_n all_o which_o be_v know_v from_o special_a geography_n and_o nautical_a map_n but_o most_o easy_o and_o with_o great_a certainty_n from_o observation_n and_o frequent_a navigation_n through_o any_o tract_n of_o land_n which_o be_v the_o only_a cause_n that_o some_o mariner_n be_v more_o fit_a to_o guide_v a_o ship_n to_o such_o place_n and_o other_o to_o another_o 2._o the_o knowledge_n of_o the_o general_n and_o special_a wind_n and_o those_o that_o be_v peculiar_a unto_o any_o place_n which_o be_v exceed_o necessary_a in_o navigation_n which_o be_v undertake_v in_o the_o torrid_a zone_n and_o adjacent_a place_n for_o here_o a_o general_a wind_n and_o in_o many_o place_n anniversary_n wind_n which_o we_o have_v show_v to_o be_v call_v moussons_n motion_n in_o our_o xx._n chapter_n do_v rule_n which_o either_o promote_v or_o hinder_v navigation_n for_o the_o indian_a sea_n be_v sail_v by_o these_o anniversary_n wind_n of_o these_o and_o also_o of_o storm_n and_o tempest_n we_o have_v speak_v in_o the_o xx._n chapter_n 20._o see_v chap._n 20._o 3._o the_o condition_n of_o the_o motion_n of_o the_o sea_n in_o every_o tract_n also_o the_o quarter_n of_o it_o into_o which_o quarter_n the_o sea_n and_o wave_n be_v bear_v for_o they_o carry_v the_o ship_n with_o they_o the_o diversity_n of_o those_o motion_n in_o many_o place_n we_o have_v show_v in_o the_o xvii_o chap._n 17._o see_v chap._n 17._o first_o of_o all_o there_o be_v require_v a_o knowledge_n of_o the_o ship_n and_o reflux_n of_o the_o sea_n and_o the_o time_n or_o hour_n of_o the_o increase_n and_o decrease_v at_o every_o day_n the_o supputation_n of_o which_o be_v term_v the_o reckon_n of_o the_o tide_n for_o except_v a_o master_n know_v this_o the_o ship_n be_v often_o much_o hazard_v when_o it_o be_v near_a shore_n or_o sand_n whereof_o most_o in_o the_o great_a increase_n of_o the_o water_n do_v not_o hinder_v the_o passage_n of_o the_o ship_n but_o most_o do_v in_o the_o decrease_n so_o with_o a_o flux_n the_o navigation_n be_v more_o facile_a to_o the_o shore_n and_o to_o the_o inlet_n of_o river_n and_o the_o contrary_n be_v discover_v in_o the_o reflux_n of_o the_o supputation_n of_o this_o time_n we_o have_v speak_v a_o little_a in_o the_o proposition_n of_o the_o xvii_o chapter_n chap._n xxxviii_o of_o the_o knowledge_n of_o place_n viz._n the_o north_n south_n east_n and_o west_n and_o the_o intermedial_a quarter_n proposition_n i._o in_o every_o place_n to_o know_v the_o plagas_fw-la viz._n the_o north_n south_n east_n and_o west_n and_o the_o intermedial_a quarter_n navigation_n the_o quarter_n very_o neccessary_a in_o navigation_n the_o knowledge_n of_o this_o be_v the_o most_o necessary_a of_o all_o the_o problem_n of_o the_o whole_a art_n of_o navigation_n see_v that_o a_o ship_n must_v be_v guide_v unto_o some_o quarter_n which_o if_o unknown_a there_o can_v be_v no_o direction_n and_o the_o very_a defect_n of_o this_o knowledge_n alone_o hinder_v the_o navigation_n of_o the_o ancient_n and_o in_o this_o be_v the_o chief_a difference_n between_o the_o ancient_n and_o modern_a navigation_n for_o the_o ancient_n have_v not_o a_o method_n by_o which_o at_o any_o time_n in_o the_o large_a ocean_n they_o may_v know_v where_o be_v the_o north_n where_o the_o south_n and_o the_o other_o quarter_n therefore_o they_o can_v not_o nor_o dare_v they_o commit_v themselves_o to_o the_o vast_a ocean_n but_o only_o coast_v the_o shore_n so_o that_o they_o may_v know_v the_o quarter_n from_o other_o sign_n quarter_n the_o ancient_n have_v a_o double_a method_n of_o find_v out_o the_o quarter_n the_o ancient_n have_v a_o double_a method_n which_o serve_v also_o to_o the_o modern_a navigation_n of_o find_v out_o the_o quarter_n
now_o this_o problem_n be_v the_o same_o with_o that_o to_o find_v out_o the_o meridian_n line_n and_o the_o north_n and_o south_n quarter_n for_o these_o be_v know_v it_o be_v easy_a to_o know_v the_o rest_n first_o by_o the_o star_n viz._n in_o the_o night_n the_o bear_n or_o the_o helice_n and_o polary_a star_n so_o call_v in_o the_o extremity_n of_o the_o tail_n of_o the_o vrsa_fw-la minor_n of_o great_a same_o among_o the_o ancient_n which_o show_v the_o north_n quarter_n whence_o all_o the_o rest_n be_v find_v for_o the_o face_n be_v turn_v to_o the_o north_n the_o east_n be_v at_o the_o right_a hand_n and_o the_o west_n on_o the_o left_a the_o line_n of_o which_o quarter_n at_o right_a angle_n cut_v the_o line_n of_o the_o north_n and_o south_n and_o these_o cardinal_n quarter_n be_v find_v it_o be_v easy_a to_o find_v the_o intermedial_a quarter_n unto_o which_o purpose_n that_o there_o may_v be_v no_o need_n of_o a_o description_n they_o have_v a_o circle_n make_v with_o the_o quarter_n who_o northern_a line_n be_v place_v above_o the_o northern_a line_n of_o any_o place_n the_o other_o quarter_n at_o one_o sight_n be_v discover_v but_o in_o the_o day_n they_o seek_v out_o the_o quarter_n by_o the_o rise_n or_o set_v of_o the_o sun_n as_o we_o have_v show_v in_o the_o xxviii_o chapter_n 28._o see_v chap._n 28._o 2._o the_o other_o method_n of_o the_o ancient_n for_o the_o know_v of_o quarter_n be_v the_o knowledge_n of_o the_o situation_n or_o extension_n of_o the_o shore_n and_o one_o promontory_n to_o the_o other_o for_o see_v the_o quarter_n of_o this_o extension_n be_v know_v to_o they_o either_o from_o the_o map_n or_o from_o observation_n and_o experience_n they_o may_v in_o navigation_n by_o see_v they_o know_v the_o other_o quarter_n for_o one_o quarter_n be_v know_v all_o the_o rest_n be_v know_v therefore_o the_o ancient_n do_v not_o far_o depart_v from_o the_o coast_n viz._n that_o they_o may_v know_v the_o quarter_n by_o the_o benefit_n of_o the_o know_a quarter_n of_o the_o extension_n of_o shore_n for_o they_o can_v not_o always_o use_v the_o method_n of_o the_o star_n and_o the_o rise_n and_o set_v of_o the_o sun_n 3._o the_o three_o method_n of_o the_o ancient_n of_o the_o knowledge_n of_o the_o quarter_n be_v the_o observe_v course_n of_o the_o ship_n for_o go_v from_o any_o place_n and_o guide_v the_o ship_n to_o the_o know_a quarter_n they_o be_v able_a from_o the_o mutation_n of_o the_o course_n of_o the_o ship_n to_o know_v the_o quarter_n 4._o hence_o it_o be_v manifest_a that_o the_o chief_a cause_n of_o the_o dangerous_a and_o imperfect_a navigation_n of_o the_o ancient_n be_v the_o ignorance_n of_o a_o method_n by_o which_o every_o where_n in_o the_o middle_n of_o the_o vast_a ocean_n they_o may_v know_v the_o quarter_n and_o so_o that_o quarter_n unto_o which_o the_o ship_n be_v to_o be_v steer_v for_o as_o i_o have_v say_v the_o method_n by_o the_o star_n and_o the_o rise_n and_o set_v sun_n can_v be_v apply_v on_o all_o day_n and_o on_o the_o hour_n of_o every_o day_n for_o the_o mark_n from_o the_o situation_n of_o the_o shore_n fail_v in_o the_o mid_a sea_n in_o the_o night_n neither_o be_v it_o safe_a enough_o in_o the_o day_n time_n the_o three_o method_n from_o the_o observe_v course_n of_o the_o ship_n have_v not_o place_n when_o the_o ship_n be_v toss_v by_o boisterous_a wind_n and_o tempest_n from_o one_o quarter_n to_o another_o and_o in_o this_o casual_o lie_v the_o chief_a difficulty_n this_o i_o think_v fit_a to_o admonish_v concern_v the_o modes_n of_o the_o ancient_n for_o the_o find_v out_o the_o meridian_n line_n and_o the_o north_n and_o south_n by_o reason_n that_o the_o imperfection_n of_o these_o be_v the_o cause_n of_o the_o dangerous_a and_o small_a navigation_n of_o the_o ancient_n see_v that_o they_o be_v never_o able_a to_o commit_v themselves_o to_o the_o vast_a ocean_n and_o therefore_o never_o know_v those_o region_n between_o which_o the_o ocean_n be_v interpose_v of_o which_o the_o chief_a be_v all_o america_n never_o yet_o full_o know_v but_o at_o this_o day_n the_o method_n of_o know_v the_o quarter_n in_o all_o place_n and_o of_o find_v out_o the_o line_n of_o the_o north_n and_o south_n be_v facile_a by_o the_o benefit_n of_o the_o admirable_a propriety_n which_o the_o loadstone_n and_o all_o iron_n touch_v by_o it_o have_v be_v find_v to_o have_v viz._n that_o all_o magnetick_n not_o hinder_v by_o other_o in_o any_o place_n direct_v their_o point_n almost_o to_o the_o same_o quarter_n for_o there_o be_v two_o opposite_a point_n in_o the_o loadstone_n whereof_o one_o always_o and_o in_o all_o place_n turn_v itself_o to_o the_o north_n or_o the_o adjacent_a quarter_n the_o other_o to_o the_o south_n and_o so_o also_o the_o other_o point_n of_o the_o magnes_n respect_v the_o other_o quarter_n viz._n every_o point_n its_o particular_a quarter_n but_o all_o of_o they_o be_v not_o consider_v but_o only_o those_o two_o point_n which_o as_o i_o have_v say_v do_v convert_v themselves_o to_o the_o north_n and_o south_n which_o be_v term_v the_o pole_n of_o the_o magnes_n one_o northern_a the_o other_o southern_a and_o the_o same_o virtue_n much_o to_o admiration_n be_v communicate_v to_o the_o needle_n but_o by_o a_o invert_v and_o contrary_a operation_n of_o nature_n for_o the_o end_n of_o the_o lamine_n or_o needle_n which_o be_v touch_v at_o the_o north_n pole_n of_o the_o magnes_n do_v not_o convert_v itself_o to_o the_o north_n but_o to_o the_o south_n and_o that_o end_n which_o be_v rub_v at_o the_o south_n pole_n of_o the_o loadstone_n turn_v not_o to_o the_o south_n but_o to_o the_o north._n these_o point_n of_o the_o needle_n be_v also_o term_v the_o pole_n loadstone_n the_o virtue_n of_o the_o loadstone_n although_o therefore_o the_o loadstone_n and_o the_o iron_n touch_v by_o it_o have_v very_o many_o notable_a property_n yet_o all_o may_v be_v refer_v to_o two_o species_n or_o head_n one_o be_v that_o virtue_n which_o do_v extract_v the_o iron_n the_o other_o by_o which_o in_o every_o place_n it_o direct_v the_o two_o point_n of_o its_o superficies_n to_o the_o north_n and_o south_n the_o former_a faculty_n the_o ancient_n be_v not_o ignorant_a of_o but_o only_o this_o latter_a see_v therefore_o the_o magnes_n have_v this_o property_n therefore_o by_o its_o help_n it_o be_v easy_a to_o find_v in_o any_o part_n of_o the_o earth_n or_o sea_n where_o the_o north_n or_o south_n be_v whence_o all_o the_o other_o quarter_n be_v soon_o know_v for_o if_o those_o point_n of_o the_o north_n and_o south_n be_v note_v in_o any_o loadstone_n or_o the_o north_n and_o south_n pole_n and_o we_o have_v this_o magnes_n in_o the_o ship_n where_o we_o be_v in_o the_o sea_n when_o we_o desire_v to_o know_v the_o quarter_n the_o loadstone_n be_v hang_v by_o a_o cord_n that_o it_o may_v easy_o move_v itself_o will_v so_o direct_v its_o pole_n to_o the_o quarter_n of_o the_o north_n and_o south_n that_o it_o will_v show_v the_o quarter_n demand_v but_o the_o magnetic_a needle_n be_v more_o easy_a for_o use_v who_o end_n be_v touch_v at_o the_o south_n pole_n of_o the_o magnes_n for_o if_o that_o this_o needle_n be_v place_v in_o the_o middle_n upon_o a_o sharp_a perpendicular_a pin_n so_o that_o it_o can_v free_o turn_v round_o the_o needle_n rest_v will_v show_v by_o one_o of_o its_o end_n the_o north_n quarter_n and_o by_o the_o other_o the_o south_n from_o what_o have_v be_v say_v it_o be_v easy_a to_o make_v a_o nautical_a instrument_n proposition_n ii_o to_o make_v a_o mariner_n compass_n compass_n of_o the_o make_n the_o mariner_n compass_n let_v the_o describe_v circle_n on_o any_o paper_n be_v divide_v into_o 32_o quarter_n or_o degree_n and_o let_v one_o of_o these_o deg_fw-la be_v take_v for_o the_o north_n quarter_n be_v ascribe_v with_o these_o appellation_n viz._n with_o a_o peculiar_a sign_n the_o flower_n de_fw-fr luce_n and_o the_o find_v out_o point_v for_o the_o other_o quarter_n viz._n south_n east_n west_n north-east_n north-west_n as_o we_o have_v propound_v they_o in_o the_o diagram_n in_o the_o xx_o chapter_n mariner_n term_v this_o chart_n the_o rose_n then_o let_v the_o magnetic_a needle_n be_v so_o affix_v beneath_o the_o chart_n that_o the_o middle_n of_o the_o needle_n may_v be_v beneath_o its_o centre_n and_o the_o north_n pole_n of_o the_o needle_n may_v be_v subject_v to_o the_o line_n of_o the_o paper_n unto_o which_o we_o ascribe_v the_o northern_a quarter_n moreover_o the_o paper_n be_v so_o make_v with_o the_o needle_n lie_v under_o let_v it_o be_v put_v upon_o the_o point_a pin_n that_o it_o may_v have_v a_o free_a circumrotation_n so_o the_o index_n of_o the_o
unto_o a_o certain_a quarter_n or_o the_o billow_n be_v roll_v unto_o a_o certain_a quarter_n if_o therefore_o the_o ship_n be_v direct_v into_o the_o same_o quarter_n the_o way_n make_v will_v be_v great_a than_o the_o conjecture_n make_v it_o but_o if_o into_o a_o contrary_a it_o will_v be_v lesser_a 2._o because_o the_o ship_n be_v carry_v by_o other_o cause_n into_o other_o quarter_n and_o so_o by_o wind_a arrive_v at_o another_o place_n 3._o the_o wind_n be_v various_o change_v 4._o by_o how_o much_o a_o ship_n have_v the_o great_a altitude_n by_o so_o much_o its_o motion_n seem_v more_o slow_a though_o it_o be_v not_o so_o proposition_n v._o to_o observe_v the_o latitude_n of_o a_o place_n unto_o which_o a_o ship_n be_v arrive_v the_o seaman_n observe_v it_o by_o the_o sun_n in_o the_o day_n time_n and_o by_o the_o star_n in_o the_o night_n as_o we_o have_v show_v in_o the_o xxiii_o chapter_n they_o use_v three_o instrument_n 23._o see_v chap._n 23._o the_o astrolabe_n the_o radius_fw-la and_o the_o triangle_n proposition_n vi_o from_o whence_o it_o be_v manifest_a that_o the_o method_n use_v by_o seaman_n to_o find_v the_o place_n on_o the_o map_n unto_o which_o they_o have_v arrive_v be_v fallacious_a because_o that_o they_o can_v neither_o be_v certain_a of_o the_o rhombe_n or_o quarter_n of_o the_o way_n or_o of_o the_o quantity_n of_o the_o way_n make_v or_o of_o the_o observe_v latitude_n of_o the_o place_n yet_o the_o observation_n of_o the_o latitude_n of_o the_o place_n unto_o which_o they_o be_v arrive_v because_o that_o it_o be_v not_o less_o subject_n to_o error_n especial_o the_o air_n and_o sea_n be_v tranquillous_a may_v be_v exempt_v from_o this_o fallacy_n but_o from_o that_o alone_o the_o place_n itself_o be_v not_o find_v on_o the_o map_n or_o earth_n but_o a_o second_o be_v require_v viz._n either_o a_o distance_n from_o another_o place_n give_v or_o a_o rhombe_n by_o which_o they_o sail_v from_o the_o give_v place_n to_o that_o or_o lasty_a the_o longitude_n of_o that_o place_n from_o this_o we_o have_v say_v that_o the_o observation_n of_o the_o way_n make_v or_o distance_n be_v uncertain_a as_o also_o that_o of_o the_o rhombs_n therefore_o they_o return_v back_o to_o find_v out_o the_o longitude_n of_o the_o place_n for_o the_o latitude_n and_o longitude_n of_o the_o place_n be_v know_v the_o place_n itself_o be_v find_v on_o the_o map_n and_o determine_v on_o the_o globe_n of_o the_o earth_n whence_o it_o be_v evident_a that_o the_o art_n of_o navigation_n require_v the_o solution_n of_o this_o problem_n to_o the_o make_v up_o of_o its_o perfection_n viz._n to_o find_v out_o the_o longitude_n of_o the_o place_n where_o we_o be_v at_o any_o time_n and_o on_o any_o day_n the_o prize_n be_v propound_v let_v he_o win_v who_o can_v a_o map_n or_o general_n carte_n of_o the_o world_n design_v in_o two_o plain_a hemispher_n by_o mounseur_fw-fr sanson_n geograph_n r_o to_o the_o french_a king_n and_o render_v into_o english_a and_o illustrated_n with_o figure_n by_o richard_n blome_n by_o the_o king_n especial_a command_n to_o the_o high_a and_o mighty_a monarch_n charles_n the_o secâ—â—â—_n by_o the_o grace_n of_o god_n king_n of_o england_n scotland_n france_n and_o ireland_n defendor_n of_o the_o faith_n etc._n etc._n this_o map_n in_o all_o humility_n be_v dedicate_v by_o your_o majesty_n obedient_a subject_n and_o sarvant_n richard_n blome_n a_o geographical_a description_n of_o the_o world_n take_v from_o the_o work_n of_o the_o famous_a mounseur_fw-fr sanson_n late_a geographer_n to_o the_o present_a french_a king_n to_o which_o be_v add_v about_o a_o hundred_o geographical_a and_o hydrographical_a table_n of_o the_o kingdom_n country_n and_o isle_n in_o the_o world_n with_o their_o chief_a city_n and_o seaport_n draw_v from_o the_o map_n of_o the_o say_v mounseur_fw-fr sanson_n and_o according_a to_o the_o method_n of_o the_o say_a description_n illustrate_v with_o map_n the_o second_o part._n by_o richard_n blome_n print_a in_o the_o year_n 1680._o geographical_a table_n on_o or_o above_o the_o surface_n of_o the_o terrestrial_a globe_n and_o map_n of_o the_o world_n aught_o to_o be_v understand_v and_o note_v ten_o point_n of_o which_o four_o be_v call_v cardinal_n point_n as_o the_o north_n or_o the_o pole_n arctic_a the_o south_n or_o the_o pole_n antarctic_a the_o east_n the_o west_n four_o be_v call_v collateral_a point_n as_o the_o east_n of_o the_o summer_n the_o east_n of_o the_o winter_n the_o west_n of_o the_o summer_n the_o west_n of_o the_o winter_n and_o two_o as_o above_o and_o under_o we_o as_o the_o zenith_n the_o nadir_n ten_o circle_n or_o line_n of_o which_o five_o be_v parallel_n the_o one_o to_o the_o other_o as_o the_o aequinoctial_a or_o the_o aequator_fw-la the_o two_o tropic_n as_o the_o tropic_a of_o cancer_n the_o tropic_a of_o capricorn_n the_o two_o polar_a circle_n as_o the_o circle_n of_o the_o pole_n arctic_a the_o circle_n of_o the_o pole_n antarctic_a five_o other_o be_v different_a the_o one_o from_o the_o other_o as_o in_o the_o middle_n of_o the_o zodiac_n as_o the_o ecliptic_a the_o horizon_n as_o the_o horizon_n rational_a the_o horizon_n sensible_a or_o visible_a the_o parallel_n or_o the_o degree_n of_o latitude_n the_o meridian_n or_o the_o degree_n of_o longitude_n two_o colour_n in_o which_o be_v 4_o point_n which_o note_v our_o four_o season_n of_o the_o year_n to_o wit_n above_o the_o colour_n of_o the_o aequinox_n as_o the_o spring_n the_o autumn_n the_o colour_n of_o the_o solstice_n as_o the_o summer_n the_o winter_n three_o sort_n of_o zone_n in_o which_o be_v five_o to_o wit_v one_o torrid_a or_o the_o parch_a two_o temperate_a as_o the_o temperate_a arctic_a or_o northern_o the_o temperate_a antarctic_a or_o southern_o two_o freeze_a or_o cold_a as_o the_o freeze_a arctic_a or_o northern_o the_o freeze_a antarctic_a or_o southern_o three_o sort_n of_o shadow_n which_o diverse_o receive_v the_o inhabitant_n of_o the_o five_o zone_n for_o they_o be_v in_o the_o torrid_a zone_n amphisciens_fw-la in_o the_o temperate_a zone_n northern_o northern_a heterosciens_fw-fr southern_o southern_a heterosciens_fw-fr in_o the_o freeze_a zone_n northern_o northern_a perisciens_fw-fr southern_o southern_a perisciens_fw-fr three_o sort_n of_o position_n as_o the_o inhabitant_n about_o the_o same_o parallel_n opposite_a in_o meridian_n be_v perioeciens_fw-la the_o inhabitant_n about_o one_o meridian_n oppose_v in_o their_o parallel_n be_v antoeciens_fw-la the_o inhabitant_n oppose_v both_o in_o meridian_n and_o in_o parallel_n be_v antipode_n the_o climate_n of_o which_o the_o ancient_n first_o make_v seven_o which_o they_o call_v by_o the_o most_o famous_a place_n sea_n and_o river_n by_o which_o they_o pass_v as_o dia_z that_o be_v through_z meroes_n dia_z sienes_n dia_z alexandrias_n dia_z rhodou_n dia_z pontou_n dia_z boristenon_n then_o mâ—e_v in_o add_v dia_z ripheon_a dia_z danias_n the_o modern_n make_v 30_o to_o wit_n between_o the_o aequator_fw-la and_o the_o polar_a circle_n 24_o by_o half_a hour_n between_o the_o polar_a circle_n and_o the_o pole_n 6_o by_o month_n the_o parallel_n which_o be_v follow_v the_o ancient_n 14_o between_o the_o aequator_fw-la and_o polar_a circle_n 48_o by_o quarter_n of_o hour_n follow_v the_o modern_n 60_o between_o the_o polar_a circle_n and_o the_o pole_n 12_o by_o fourteen_o day_n the_o wind_n whereof_o the_o 4_o first_o and_o whereof_o the_o name_n be_v monosyllable_n shall_v be_v call_v cardinal_n wind_n as_o north_n south_n east_n west_n 4_o second_o and_o whereof_o the_o name_n be_v of_o two_o syllable_n and_o compose_v of_o two_o of_o the_o four_o first_o shall_v be_v call_v collateral_a wind_n as_o north-east_n northwest_n southeast_n south-west_n 8_o three_o and_o have_v their_o name_n of_o three_o syllable_n compose_v of_o one_o of_o the_o four_o first_o and_o of_o one_o of_o the_o four_o second_o as_o north_n north-east_n north_n northwest_n south_n southeast_n south_n south-west_n east_n north-east_n east_n south-west_n west_n northwest_n west_n south-west_n north_n and_o a_o quarter_n by_o north-east_n north_n and_o a_o quarter_n by_o northwest_n north-east_n and_o a_o quarter_n by_o north_n northwest_n and_o a_o quarter_n by_o north._n 16_o fourths_o take_v their_o name_n from_o four_o first_o or_o four_o second_o in_o say_v of_o one_o four_o part_n by_o the_o other_o and_o that_o without_o have_v regard_n to_o the_o eight_o three_o wind_n etc._n etc._n as_o it_o be_v south_n and_o a_o quarter_n by_o southeast_n south_n and_o a_o quarter_n by_o south-west_n southeast_n and_o a_o quarter_n by_o south_n south-west_n and_o a_o quarter_n by_o south_n east_n and_o a_o quarter_n by_o north-east_n east_n and_o a_o quarter_n by_o southeast_n north-east_n and_o a_o quarter_n by_o east_n southeast_n and_o a_o quarter_n by_o east_n west_n and_o a_o
the_o four_o thing_n which_o be_v next_o above_o this_o be_v a_o dias_n for_o the_o minute_n of_o hour_n so_o that_o you_o shall_v see_v every_o minute_n pass_v two_o beautiful_a picture_n of_o two_o child_n be_v join_v to_o either_o side_n of_o this_o he_o which_o be_v on_o the_o north-side_n have_v a_o sceptre_n in_o his_o hand_n and_o when_o the_o clock_n strike_v he_o tell_v orderly_o every_o stroke_n he_o on_o the_o southside_n have_v a_o fine_a hourglass_n in_o his_o hand_n which_o run_v just_a with_o the_o clock_n and_o when_o the_o clock_n have_v strike_v he_o turn_v his_o hourglass_n which_o be_v run_v forth_o and_o hold_v it_o run_v the_o first_o thing_n which_o be_v next_o above_o the_o minute-dial_n be_v the_o dial_n for_o the_o hour_n contain_v the_o half_a part_n also_o the_o uttermost_a circumference_n contain_v the_o hour_n but_o within_o it_o be_v make_v a_o curious_a and_o perfect_a astrolabe_n whereby_o be_v show_v the_o motion_n of_o every_o planet_n his_o aspect_n and_o in_o what_o sign_n what_o degree_n and_o what_o hour_n every_o one_o be_v in_o every_o hour_n of_o the_o day_n the_o opposition_n likewise_o of_o the_o sun_n and_o moon_n and_o the_o head_n and_o tail_n of_o the_o dragon_n and_o because_o the_o night_n darkness_n not_o the_o sun_n nor_o the_o day_n the_o moon_n or_o other_o planet_n therefore_o their_o course_n be_v here_o exact_o see_v at_o all_o time_n the_o six_o thing_n which_o be_v next_o unto_o this_o be_v a_o circle_n wherein_o the_o two_o sign_n of_o the_o moon_n rise_v and_o fall_v at_o two_o several_a hollow_a place_n it_o be_v see_v at_o what_o state_n she_o be_v and_o her_o age_n be_v declare_v by_o a_o index_n which_o be_v whole_o turn_v about_o once_o every_o month._n the_o seven_o thing_n which_o be_v about_o this_o be_v four_o little_a bell_n whereon_o the_o quarter_n of_o the_o hour_n be_v strike_v at_o the_o first_o quarter_n come_v forth_o a_o little_a boy_n and_o strike_v the_o first_o bell_n with_o a_o apple_n and_o so_o go_v and_o stay_v at_o the_o four_o bell_n until_o the_o next_o quarter_n then_o come_v a_o lusty_a youth_n and_o he_o with_o a_o dart_n strike_v two_o bell_n and_o succee_v into_o the_o place_n of_o the_o child_n at_o the_o three_o come_v forth_o a_o man_n in_o arm_n with_o a_o war-mace_n in_o his_o hand_n and_o strike_v three_o bell_n he_o succee_v into_o the_o place_n of_o the_o young_a man_n at_o the_o four_o quarter_n come_v forth_o a_o old_a man_n with_o a_o staff_n have_v a_o crook_n at_o the_o end_n and_o he_o with_o much_o ado_n because_o he_o be_v old_a striketh_z the_o four_o bell_n and_o stand_v at_o the_o four_o quarter_n until_o the_o next_o quarter_n forthwith_o to_o strike_v the_o clock_n come_v death_n in_o the_o room_n above_o this_o for_o this_o be_v the_o eight_o thing_n and_o this_o understand_v that_o at_o every_o quarter_n come_v he_o forth_o think_v to_o catch_v each_o of_o those_o former_a age_n away_o with_o he_o but_o at_o a_o contrary_a side_n in_o the_o same_o room_n where_o he_o be_v come_v christ_n forth_o and_o drive_v he_o in_o but_o when_o the_o last_o quarter_n be_v hear_v christ_n give_v he_o leave_v to_o go_v to_o the_o bell_n which_o be_v in_o the_o midst_n and_o so_o strike_v he_o with_o his_o bone_n according_a to_o the_o number_n of_o the_o hour_n and_o there_o he_o stand_v at_o the_o bell_n as_o the_o old_a man_n do_v at_o his_o quarter_n bell_n until_o the_o next_o quarter_n and_o then_o go_v they_o in_o both_o together_o the_o nine_o and_o last_o thing_n in_o this_o right_a line_n be_v the_o town_n at_o the_o top_n of_o the_o work_n wherein_o be_v a_o noble_a pleasant_a chime_n which_o go_v at_o three_o seven_o and_o eleven_o of_o the_o clock_n every_o time_n a_o diverse_a tune_n to_o one_o of_o the_o psalm_n and_o at_o christmas_n easter_n and_o whitsuntide_n a_o thanksgiving_n unto_o christ_n and_o when_o this_o chime_n have_v do_v the_o cock_n which_o stand_v on_o the_o top_n of_o the_o town_n on_o the_o north-side_n of_o the_o main_a work_n have_v stretch_v out_o his_o neck_n shake_v his_o comb_n and_o clap_v his_o wing_n twice_o crowse_v then_o twice_o and_o this_o very_o he_o do_v so_o shrill_a and_o natural_o as_o it_o will_v make_v any_o man_n to_o wonder_n and_o if_o they_o listen_v which_o attend_v the_o clock_n they_o make_v he_o to_o crow_n more_o time_n in_o this_o town_n whereon_o this_o cock_n stand_v be_v convey_v all_o the_o instrument_n of_o those_o motion_n which_o be_v in_o the_o foresay_a describe_v thing_n the_o other_o place_n of_o note_n in_o this_o low_a alsatia_n be_v 2._o altkirck_n in_o the_o part_n of_o sungou_n 3._o ensisheim_n in_o high_a alsatia_n 4._o frisbourg_n in_o brisgou_n 6._o offenbourg_n in_o mortnais_n and_o 7._o bid_v in_o the_o marquisate_n rhine_n palatinate_n of_o the_o rhine_n the_o palatinate_n of_o the_o rhine_n which_o be_v divide_v or_o sever_v into_o the_o estate_n of_o the_o palatinate_n the_o estate_n of_o the_o prince_n of_o the_o house_n palatinate_n and_o the_o bishopric_n and_o imperial_a city_n of_o spire_n and_o worm_n the_o chief_a place_n be_v heidelberg_n seat_v in_o a_o plain_a but_o environ_v on_o three_o side_n with_o high_a mountain_n and_o the_o other_o regard_v the_o rhine_n from_o which_o it_o be_v distant_a about_o a_o mile_n it_o be_v dignify_v with_o the_o seat_n of_o the_o palsgraves_n as_o also_o with_o a_o university_n 2._o spire_n seat_v in_o a_o plain_a about_o half_a a_o mile_n from_o the_o rhine_n a_o city_n of_o more_o antiquity_n than_o beauty_n and_o trade_n be_v of_o note_n for_o the_o imperial_a chamber_n here_o continual_o keep_v 3._o worm_n a_o city_n also_o of_o good_a antiquity_n for_o the_o many_o imperial_a parliament_n here_o former_o hold_v and_o 4._o frankendal_n a_o new_a fair_a strong_a and_o beautiful_a city_n about_o which_o grow_v great_a plenty_n of_o rhenish_a wine_n cologne_n electorates_n of_o mayence_n trive_v and_o cologne_n the_o electorates_n and_o archbishopric_n on_o the_o rhine_n be_v those_o of_o mayence_n who_o chief_a place_n be_v mayence_n and_o aschaffenbourg_n of_o treves_n who_o chief_a place_n be_v treves_n and_o coblentz_n and_o of_o cologne_n who_o principal_a place_n be_v cologne_n and_o bonne_fw-fr cleaveland_n cleaveland_n the_o estate_n of_o the_o succession_n of_o cleaveland_n contain_v the_o dutchy_n of_o cleves_n of_o julier_fw-la and_o of_o berge_n the_o duchy_n of_o cleves_n and_o county_n of_o mark_n be_v in_o the_o marquisate_n of_o brandenburg_n cleves_n duchy_n of_o cleves_n and_o have_v for_o its_o chief_a place_n wesel_n and_o hamme_n in_o the_o county_n of_o mark_n juliers_n duchy_n of_o juliers_n the_o duchy_n of_o juliers_n have_v for_o its_o chief_a place_n aken_n where_o the_o emperor_n after_o his_o election_n be_v invest_v with_o the_o silver_n crown_n of_o germany_n this_o place_n be_v of_o great_a esteem_n for_o its_o holy_a relic_n and_o 2._o juliers_n the_o duchy_n of_o berge_n or_o monte_fw-fr have_v for_o its_o chief_a place_n dusseldrop_n hattingen_n and_o arusberg_n the_o unite_a province_n under_o the_o name_n of_o the_o unite_a province_n of_o the_o low_a country_n or_o netherlands_o be_v contain_v the_o duchy_n of_o gelder_n the_o earldom_n of_o holland_n zealand_n and_o zutphen_n and_o the_o lordship_n of_o vtrecht_n overyssel_n groningue_n and_o malines_n guelderland_n duchy_n of_o guelderland_n the_o duchy_n of_o gvelder_n or_o gvelderland_n westward_n of_o brabant_n be_v divide_v into_o the_o quarter_n of_o betuve_n veluve_fw-fr and_o gelder_n particular_o so_o call_v wherein_o be_v the_o town_n of_o 1._o nieumegue_n once_o a_o free_a city_n seat_v on_o the_o branch_n of_o the_o rhine_n call_v whael_n and_o make_v one_o of_o the_o imperial_a seat_n in_o these_o part_n by_o charles_n the_o great_a the_o other_o two_o be_v thionvil_n and_o aken_n 2._o arnhem_o the_o usual_a residence_n of_o the_o duke_n of_o gelder_n 3._o ruremond_n so_o call_v from_o the_o river_n ruer_n and_o monde_n 4._o harderwick_n from_o a_o village_n make_v a_o wall_a town_n by_o otho_n the_o three_o earl_n 5._o gelder_n 6._o venlo_n and_o 7._o bommel_n holland_n earldom_n of_o holland_n the_o earldom_n of_o holland_n have_v on_o the_o west_n and_o north_n the_o sea_n from_o which_o no_o part_n be_v above_o three_o hour_n distance_n in_o this_o earldom_n be_v say_v to_o be_v about_o 400_o village_n and_o 23_o town_n the_o chief_a of_o which_o be_v amsterdam_n which_o of_o late_a by_o the_o addition_n of_o the_o new_a to_o the_o old_a be_v a_o fair_a strong_a and_o beautiful_a city_n be_v the_o most_o rich_a and_o powerful_a of_o all_o the_o netherlands_o famous_a for_o its_o great_a trade_n to_o the_o utmost_a part_n of_o the_o world_n and_o as_o infamous_a for_o its_o
no_o great_a account_n by_o reason_n of_o its_o dangerous_a situation_n its_o chief_a place_n be_v niburg_n arroe_n a_o small_a isle_n belong_v to_o the_o duke_n of_o sleswick_n arroe_n arroe_n it_o contain_v three_o town_n the_o chief_a of_o which_o be_v kope_v fortify_v with_o a_o castle_n so_o call_v longland_n a_o indifferent_a long_a isle_n but_o not_o very_o broad_a longland_n longland_n its_o chief_a place_n be_v rudkope_v of_o some_o account_n laland_n not_o far_o distant_a from_o zealand_n abound_v in_o corn_n and_o chesuut_n laland_n laland_n freight_v therewith_o many_o vessel_n yearly_a it_o be_v very_o populous_a for_o the_o bigness_n contain_v 3_o town_n viz._n maxcow_n rodby_n and_o maribo_n beside_o a_o great_a many_o village_n and_o some_o castle_n falster_n a_o small_a isle_n fertile_a in_o corn_n seat_v near_o to_o laland_n falster_n falster_n its_o chief_a place_n be_v nikope_v of_o a_o pleasant_a situation_n and_o stubekope_v in_o the_o baltic_a and_o between_o the_o land_n of_o sweden_n be_v also_o several_a isle_n the_o chief_a among_o which_o be_v bornholme_n bornholm_n bornholm_n seat_v not_o far_o from_o gothland_n a_o isle_n very_o fertile_a feed_v abundance_n of_o cattle_n it_o have_v many_o gooâ—_n town_n and_o village_n the_o chief_a of_o which_o be_v next_o rottonby_n and_o suomnecky_a gothland_n gothland_n gothland_n a_o indifferent_a large_a isle_n in_o form_n round_o and_o narrow_a noâ—_n in_o the_o possession_n of_o the_o swede_n it_o yield_v white_a marble_n excellent_a for_o building_n the_o city_n of_o wisby_n seat_v in_o the_o midst_n of_o the_o isle_n be_v once_o so_o famous_a foâ—_n traffic_n that_o it_o give_v maritime_a law_n to_o the_o baltic_a sea_n that_o which_o the_o king_n of_o denmark_n possess_v as_o particular_o belong_v to_o thaâ—_n crown_n on_o the_o coast_n of_o scandinavia_n be_v part_n of_o the_o ancient_a gothland_n thâ—_n most_o southern_a of_o which_o that_o we_o be_v now_o treat_v of_o be_v divide_v into_o westro-gothland_n and_o ostro-gothland_n which_o be_v again_o subdivide_v into_o the_o province_n of_o hallandia_n which_o take_v up_o westro-gothland_n and_o into_o the_o province_n oâ—_n scania_n and_o bleck_v which_o take_v up_o ostro_fw-la gothland_n and_o first_o of_o hallandia_n hallandia_n hallandia_n hallandia_n now_o in_o the_o possession_n of_o the_o swede_n this_o country_n oâ—_n province_n for_o fertility_n of_o soil_n sweetness_n of_o air_n store_n of_o fish_n plenty_n of_o leaâ—_n and_o brass_n mine_n and_o thickness_n of_o town_n and_o village_n which_o be_v well_o inhabit_v be_v not_o inferior_a to_o any_o it_o be_v chief_a place_n be_v 1._o warborg_n seat_v on_o thâ—_n seashore_n and_o defend_v by_o a_o strong_a castle_n build_v on_o the_o summit_n of_o a_o hill_n sâ—_n that_o it_o have_v a_o great_a command_n over_o the_o country_n 2._o laholm_n 3._o helmster_n 4._o falkenborg_n and_o 5._o hallandia_n or_o katterop_n scania_n scanrâ—_n scanrâ—_n or_o sconen_n have_v on_o the_o north_n hallandia_n and_o on_o all_o other_o part_n the_o sea_n also_o now_o in_o the_o swede_n possession_n it_o be_v about_o 70_o mile_n long_o and_o 48_o broad_a the_o pleasant_a country_n in_o all_o denmark_n most_o abundant_a iâ—_n fruit_n and_o rich_a in_o merchandise_n and_o on_o the_o seaside_n be_v sometime_o such_o great_a shoal_n of_o herring_n that_o they_o be_v find_v troublesome_a to_o vessel_n it_o be_v chieâ—_n place_n be_v 2._o lunden_n a_o inland_a city_n dignify_v with_o the_o sole_a or_o metropolitan_a archbishop_n of_o denmark_n the_o chief_a beauty_n in_o this_o city_n be_v the_o cathedral_n church_n a_o magnificent_a structure_n beautify_v with_o excellent_a piece_n of_o art_n thâ—_n chief_a whereof_o be_v the_o clock_n and_o the_o dial_n the_o clock_n be_v so_o compose_v bâ—_n artificial_a engine_n that_o whensoever_o it_o strike_v two_o horseman_n give_v one_o another_o as_o many_o blow_n as_o the_o clock_n strike_v time_n also_o upon_o the_o open_n of_o 〈◊〉_d door_n there_o be_v represent_v a_o theatre_n where_o the_o virgin_n mary_n be_v seat_v on_o 〈◊〉_d throne_n with_o christ_n in_o her_o arm_n to_o who_o the_o three_o king_n with_o their_o severâ—_n train_n come_v in_o order_n and_o with_o reverence_n present_v their_o gift_n to_o she_o during_o which_o time_n two_o trumpeter_n continual_o sound_a and_o next_o the_o dial_n wherâ—_n the_o year_n month_n week_n day_n and_o hour_n of_o the_o day_n throughout_o the_o year_n as_o also_o the_o motion_n of_o the_o sun_n and_o moon_n through_o each_o degree_n of_o the_o zodiac_n thâ—_n movable_a and_o fix_a feast_n etc._n etc._n be_v to_o be_v distinct_o see_v be_v neat_o set_v forâ—â—_n in_o variety_n of_o delightful_a colour_n 2._o helsinborg_n fortify_v with_o a_o impregnablâ—_n castle_n and_o one_o of_o the_o fort_n defend_v the_o sound_n 3._o christiana_n a_o place_n 〈◊〉_d great_a strength_n and_o 4._o malbogen_fw-mi a_o port-town_n opposite_a to_o copenhagen_n 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estate_n and_o kingdom_n of_o danmarke_n norway_n and_o sweden_n by_o monsieur_n sanson_n to_o the_o r_n t_o worshippfull_a s._n r_o thomas_n fitch_n of_o eltham_n and_o mount_n mascall_n in_o the_o parish_n of_o north_n cray_n in_o kent_n k._n t_o this_o map_n d._n d_o by_z r._n b._n norway_n etc._n it_o be_v situation_n temperature_n fertility_n commodity_n etc._n etc._n the_o country_n of_o norway_n be_v bound_v on_o the_o north_n with_o lippia_n on_o the_o east_n with_o the_o dofrine_n mountain_n which_o divide_v it_o from_o sweden_n and_o on_o all_o other_o side_n with_o the_o sea_n on_o which_o with_o a_o disproportionate_a breadth_n it_o stretch_v its_o coast_n for_o 1300_o mile_n in_o length_n the_o country_n be_v extreme_o cold_a be_v partly_o under_o the_o freeze_a zone_n and_o partly_o so_o near_o it_o that_o it_o all_o suffer_v under_o the_o inclemency_n of_o bitter_a cold_n it_o be_v for_o the_o most_o part_n mountainous_a full_a of_o vast_a wood_n and_o of_o a_o soil_n so_o barren_a and_o ungrateful_a to_o the_o husbandman_n afford_v so_o little_a corn_n that_o on_o many_o place_n the_o people_n live_v on_o dry_a fish_n instead_o of_o bread_n know_v to_o we_o by_o the_o name_n of_o stockfish_n but_o the_o rich_a sort_n of_o people_n buy_v corn_n of_o such_o merchant_n as_o come_v to_o trade_n with_o they_o the_o principal_a commodity_n that_o this_o country_n afford_v be_v great_a plenty_n of_o sir_n deal-board_n timber_n tar_n mast_n and_o furniture_n for_o ship_n also_o stockfish_n train-oyle_n rich_a fur_n copper_n pipe-stave_n etc._n etc._n which_o the_o inhabitant_n exchange_v for_o corn_n clothes_n kersey_n lead_v tinn_n stocking_n etc._n etc._n the_o country_n be_v exceed_o annoy_v with_o certain_a small_a beast_n about_o the_o bigness_n of_o a_o mouse_n by_o they_o call_v lemmers_n which_o at_o a_o certain_a time_n be_v so_o innumerable_a that_o like_a locust_n they_o devour_v all_o the_o verdure_n of_o the_o earth_n and_o at_o a_o certain_a time_n die_v in_o heap_n which_o prove_v very_o noisome_a to_o the_o people_n infect_v the_o air_n and_o the_o sea_n be_v as_o bid_v trouble_v with_o whale_n the_o inhabitant_n be_v say_v to_o be_v just_a dealer_n punisher_n of_o theft_n and_o other_o vice_n and_o be_v account_v former_o great_a warrior_n viz._n norway_n divide_v into_o five_o government_n viz._n this_o kingdom_n be_v divide_v into_o five_o government_n which_o take_v their_o name_n from_o the_o place_n where_o the_o governor_n reside_v in_o all_o which_o the_o town_n be_v exceed_o thin_a and_o the_o house_n as_o poor_a the_o five_o part_n be_v as_o follow_v bahus_n belong_v to_o the_o swede_n be_v the_o most_o southward_o bahus_n bahus_n the_o chief_a place_n be_v bahus_o the_o residence_n of_o the_o governor_n to_o which_o be_v subject_a the_o town_n of_o congel_n seat_v on_o the_o sea_n and_o of_o some_o trade_n and_o marstrand_n seat_v in_o a_o demi-island_n of_o note_n for_o the_o great_a quantity_n of_o herring_n here_o catch_v aggerhus_n
on_o he_o either_o send_v unto_o she_o two_o or_o three_o day_n before_o the_o consummation_n of_o the_o marriage_n which_o be_v either_o in_o money_n or_o good_n as_o a_o recompense_n to_o her_o parent_n or_o kindred_n for_o their_o care_n in_o her_o education_n or_o else_o engage_v to_o pay_v she_o if_o in_o case_n a_o divorce_n shall_v happen_v which_o be_v usual_a among_o they_o upon_o a_o dislike_n or_o disagreement_n as_o be_v allow_v of_o by_o their_o law_n this_o do_v their_o agent_n in_o the_o name_n of_o the_o betroth_a couple_n go_v to_o their_o priest_n or_o ecclesiastical_a judge_n who_o be_v satisfy_v that_o it_o be_v do_v by_o the_o mutual_a consent_n of_o their_o friend_n marry_v they_o by_o the_o say_a agent_n but_o very_o private_o the_o marriag_n day_n be_v agree_v upon_o the_o bridegroom_n send_v his_o bride_n several_a toy_n as_o pendant_n bracelet_n ring_n or_o the_o like_a ornament_n also_o several_a dish_n of_o meat_n for_o the_o entertainment_n of_o her_o friend_n and_o relation_n who_o about_o the_o evening_n bring_v the_o bride_n to_o the_o bridegroom_n be_v mount_v on_o a_o horse_n mule_n or_o camel_n be_v cover_v with_o a_o veil_n of_o crimson_a taffeta_n over_o her_o face_n down_o to_o her_o knee_n and_o accompany_v all_o the_o way_n with_o music_n and_o be_v enter_v the_o mosque_n the_o muloy_n demand_v their_o like_n then_o the_o bride_n require_v three_o thing_n viz._n bed-right_a food_n and_o raiment_n and_o the_o parent_n have_v declare_v their_o consent_n the_o priest_n encircle_n they_o with_o a_o cord_n conjoin_v their_o hand_n take_v a_o reciprocal_a oath_n and_o call_v mahomet_n to_o witness_v which_o end_v the_o caddi_n enroll_v their_o name_n with_o the_o day_n of_o the_o month_n year_n and_o hour_n of_o the_o day_n of_o their_o nuptial_n and_o so_o dismiss_v they_o and_o be_v come_v to_o the_o bridegroom_n house_n they_o take_v she_o off_o and_o lead_v she_o into_o a_o room_n where_o she_o and_o her_o friend_n sup_v 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be_v to_o sit_v upon_o the_o ground_n on_o carpet_n be_v the_o custom_n of_o the_o turk_n and_o other_o eastern_a country_n so_o to_o do_v be_v also_o use_v to_o collation_n in_o afternoon_n and_o night_n wherein_o they_o have_v excellent_a fruit_n sweetmeat_n wine_n music_n and_o dance_a woman_n they_o be_v much_o addict_v to_o woman_n they_o be_v great_a lover_n of_o woman_n insomuch_o that_o at_o their_o feast_n they_o be_v always_o furnish_v with_o they_o be_v such_o as_o they_o call_v dancing-woman_n who_o be_v bring_v up_o in_o dance_v sing_v and_o play_v on_o instrument_n make_v it_o their_o employment_n so_o to_o do_v at_o feast_n these_o woman_n for_o the_o most_o part_n be_v very_o handsome_a and_o rich_o attire_v have_v about_o they_o costly_a jewel_n pendant_n ring_n have_v about_o their_o leg_n bell_n like_o morris-dancer_n and_o he_o who_o have_v a_o desire_n to_o enjoy_v a_o woman_n rise_v from_o his_o seat_n and_o take_v which_o of_o these_o dancing-woman_n he_o most_o 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they_o begin_v their_o new_a year_n in_o their_o procession_n and_o celebrate_v festival_n in_o commemoration_n of_o their_o several_a saint_n which_o they_o perform_v with_o great_a devotion_n mix_v with_o no_o less_o state_n in_o their_o several_a sepulcher_n where_o their_o saint_n be_v inter_v which_o be_v very_o large_a and_o magnificent_a structure_n so_o rich_a in_o gold_n and_o silver_n with_o which_o it_o be_v adorn_v as_o well_o in_o lamp_n and_o candlestick_n as_o otherwise_o that_o it_o can_v hardly_o be_v express_v in_o which_o place_n they_o have_v their_o priest_n which_o attend_v and_o offer_v up_o their_o devotion_n and_o explain_v the_o alcoran_n which_o they_o read_v out_o of_o book_n which_o they_o have_v in_o their_o library_n be_v manuscript_n either_o upon_o paper_n or_o parchment_n be_v curious_o bind_v neat_o paint_v within_o and_o cover_v with_o plate_n of_o silver_n or_o gold_n carry_v or_o emboss_a or_o with_o painting_n also_o the_o persian_n have_v not_o the_o same_o miracle_n the_o same_o saint_n the_o same_o mosque_n religion_n their_o religion_n and_o the_o same_o ceremony_n as_o the_o turk_n have_v they_o use_v circumcision_n but_o not_o till_o the_o child_n be_v 7_o 8_o or_o 9_o year_n old_a they_o be_v very_o devout_a especial_o in_o their_o prayer_n which_o they_o use_v five_o time_n a_o day_n as_o be_v oblige_v by_o their_o religion_n so_o to_o do_v also_o in_o their_o prayer_n for_o the_o dead_a over_o their_o grave_n which_o devotion_n be_v use_v during_o the_o time_n of_o their_o lent_n which_o they_o keep_v for_o a_o month_n in_o which_o time_n they_o neither_o eat_v nor_o drink_v betwixt_o sunrising_n and_o sunsetting_a but_o in_o the_o night_n they_o eat_v and_o drink_v what_o they_o please_v yet_o for_o a_o sum_n of_o money_n they_o may_v have_v a_o dispensation_n they_o inter_v their_o
fifteen_o or_o sixteen_o league_n where_o with_o a_o great_a declension_n it_o strike_v against_o some_o traverse_n other_o divide_v its_o water_n into_o many_o branch_n reassembles_a they_o and_o after_o have_v be_v so_o long_o in_o foam_n and_o froth_n disengage_v from_o these_o rock_n it_o repass_n but_o in_o every_o hour_n of_o the_o day_n once_o only_o be_v hear_v at_o the_o bottom_n of_o the_o river_n a_o certain_a lowing_n which_o raise_v up_o the_o water_n but_o which_o endure_v but_o for_o a_o moment_n and_o the_o river_n retake_v its_o ordinary_a course_n which_o be_v navigable_a above_o and_o below_o the_o cataract_n describe_v the_o province_n of_o urvaig_n with_o its_o chief_a place_n describe_v the_o province_n of_o vrvaig_n be_v on_o the_o sea_n and_o between_o brazile_n and_o the_o mouth_n of_o the_o paraguay_n it_o take_v its_o name_n from_o the_o river_n of_o vrvaig_n that_o be_v of_o snail_n by_o reason_n of_o the_o prodigious_a quantity_n here_o find_v its_o habitation_n be_v la_fw-fr conception_n there_o where_o the_o vrvaig_n fall_v into_o the_o paraguay_n st._n nicholas_n on_o the_o river_n piration_n st._n francis_n xavier_n up_o within_o land_n and_o likewise_o on_o the_o vrvaig_n ibicuit_fw-la or_o the_o visitation_n on_o the_o paraguay_n and_o almost_o direct_o opposite_a to_o buenos_n ayres_n on_o the_o other_o side_n but_o there_o have_v be_v no_o relation_n of_o these_o part_n since_o those_o of_o 1626._o and_o 1627._o which_o be_v print_v in_o 1636_o in_o antwerp_n and_o in_o 1637_o in_o france_n if_o these_o people_n have_v since_o incline_v themselves_o to_o christianity_n as_o those_o relation_n say_v they_o have_v begin_v to_o do_v no_o doubt_n but_o they_o be_v by_o this_o time_n all_o or_o the_o great_a part_n christian_n the_o magellanick_n land_n and_o island_n bound_v the_o magellanick-land_n bound_v south_n of_o chili_n tucaman_n and_o rio_n de_fw-fr la_fw-fr plata_fw-la lie_v a_o great_a region_n and_o a_o great_a 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castille_n for_o some_o discontent_n he_o have_v receive_v in_o the_o payment_n of_o his_o wage_n in_o portugal_n be_v the_o first_o that_o find_v this_o straight_a at_o the_o extremity_n of_o america_n meridionalis_fw-la and_o who_o pass_v from_o mer_n deal_v nor_o unto_o that_o del_fw-it shall_fw-mi between_o the_o 21_o of_o october_n and_o the_o 27_o or_o 28_o of_o november_n in_o the_o year_n 1520_o give_v mean_n not_o only_o to_o the_o castilian_n to_o pretend_v the_o discovery_n of_o the_o molucco_n by_o the_o west_n against_o the_o portugal_n who_o boast_v to_o have_v first_o discover_v they_o by_o the_o east_n but_o likewise_o show_v a_o way_n to_o make_v the_o whole_a circuit_n of_o the_o terrestrial_a globe_n which_o certain_o have_v never_o before_o be_v do_v the_o two_o open_n of_o our_o straight_a as_o well_o towards_o we_o and_o the_o mere_n del_fw-it nort_n as_o on_o the_o other_o side_n and_o towards_o the_o mere_n del_fw-it shall_fw-mi be_v between_o the_o 52_o and_o 53_o degree_n of_o latitude_n the_o middle_n descend_v unto_o the_o 54._o and_o the_o two_o cape_n of_o the_o first_o open_v be_v that_o of_o the_o virgin_n on_o the_o right_a hand_n and_o on_o the_o continent_n and_o that_o of_o st._n severin_n or_o of_o st._n espritt_n on_o the_o left_a and_o in_o the_o magellanick_n isle_n or_o terra_fw-la del_fw-it fogo_n the_o two_o cape_n which_o end_v the_o other_o open_v be_v cape_n victory_n on_o the_o right_a hand_n and_o cape_n desire_v on_o the_o left_a straight_a the_o length_n &_o breadth_n of_o this_o straight_a the_o length_n of_o this_o straight_a be_v near_o two_o hundred_o league_n its_o breadth_n only_o two_o three_o six_o ten_o league_n and_o sometime_o more_o incommodious_a for_o the_o most_o part_n be_v subject_a to_o whirlpool_n the_o wave_n of_o the_o mere_n del_fw-it shall_fw-mi predominate_v for_o fifty_o and_o odd_a league_n the_o rest_n be_v beat_v on_o by_o those_o of_o the_o mere_n del_fw-it nort_n and_o it_o be_v observe_v that_o so_o long_o as_o the_o mere_n del_fw-it shall_fw-mi predominate_v the_o straight_a be_v lock_v between_o very_o high_a mountain_n and_o rock_n always_o cover_v with_o snow_n and_o which_o seem_v to_o touch_v on_o the_o other_o which_o make_v the_o approach_n difficult_a on_o this_o side_n and_o withal_o the_o sea_n be_v exceed_o deep_a the_o bottom_n of_o that_o which_o be_v beat_v by_o the_o mere_n del_fw-it nort_n be_v easy_o find_v and_o the_o field_n and_o valley_n according_a to_o the_o season_n be_v very_o pleasant_a both_o on_o the_o one_o and_o the_o other_o side_n and_o moreover_o here_o the_o straight_a much_o enlarge_n itself_o and_o have_v store_n of_o commodious_a port_n and_o road_n not_o fast_o distant_a from_o one_o another_o where_o the_o water_n likewise_o be_v good_a and_o the_o wood_n which_o be_v find_v in_o the_o mountain_n above_o the_o coast_n have_v something_o of_o cinnamon_n and_o be_v put_v in_o the_o fire_n render_v a_o agreeable_a odour_n so_o soon_o as_o the_o discovery_n of_o this_o straight_o be_v know_v in_o spain_n the_o castilian_n have_v a_o design_n to_o make_v themselves_o master_n of_o it_o with_o a_o intent_n to_o hinder_v all_o other_o nation_n from_o pass_v in_o 1523_o dom._n gutieres_n carvajal_n bishop_n of_o plaisance_n send_v in_o the_o name_n of_o charles_n the_o five_o four_o ship_n to_o make_v it_o more_o particular_o but_o this_o voyage_n prove_v very_o unfortunate_a for_o three_o of_o the_o ship_n perish_v in_o the_o straight_a and_o the_o four_o retire_v with_o no_o small_a hurt_n to_o lima._n in_o 1526_o garsia_n de_fw-fr loyosa_n be_v likewise_o here_o for_o the_o same_o intent_n which_o prove_v also_o fatal_a for_o the_o admiral_n come_v out_o of_o the_o straight_o be_v lose_v as_o also_o some_o at_o the_o molucco_n in_o 1535_o one_o simon_n de_fw-fr alcazova_n enter_v it_o but_o the_o mutiny_n which_o be_v among_o his_o people_n be_v the_o cause_n of_o his_o loss_n and_o ill_a success_n dom._n gutier_n carvajal_n bishop_n of_o plaisance_n send_v other_o three_o vessel_n in_o 1539_o of_o which_o the_o admiral_n be_v lose_v one_o return_v back_o and_o the_o three_o pass_v on_o some_o other_o there_o be_v which_o go_v all_o of_o which_o be_v castilian_n some_o by_o the_o coast_n of_o spain_n other_o by_o the_o coast_n of_o peru_n but_o none_o can_v ever_o find_v a_o way_n to_o seize_v this_o straight_a whereby_o to_o hinder_v a_o passage_n to_o other_o straight_a sir_n francis_n drake_n in_o this_o straight_a for_o in_o 1575._o sir_n francis_n drake_n happy_o pass_v this_o straight_a come_v into_o the_o mere_n del_fw-it shall_fw-mi pillage_v and_o burn_v along_o the_o coast_n of_o chili_n and_o peru_n quantity_n of_o spanish_a vessel_n and_o make_v a_o very_a rich_a booty_n he_o return_v into_o england_n this_o course_n of_o the_o english_a very_o much_o alarm_v peru_n and_o be_v the_o cause_n that_o the_o viceroy_n send_v dom._n piedro_n sarmiento_n to_o take_v full_a knowledge_n and_o make_v report_n in_o spain_n of_o all_o the_o coast_n harbour_n anchorage_n and_o particular_o of_o place_n where_o fort_n may_v be_v build_v and_o colony_n establish_v in_o this_o straight_a this_o report_n make_v in_o spain_n dom._n diego_n de_fw-fr valdes_n be_v send_v with_o twenty_o three_o vessel_n and_o twenty_o five_o hundred_o man_n but_o this_o voyage_n be_v likewise_o unhappy_a for_o seven_o or_o eight_o ship_n with_o about_o seven_o or_o eight_o hundred_o man_n be_v lose_v almost_o in_o sight_n of_o spain_n also_o some_o other_o of_o his_o ship_n with_o about_o three_o or_o four_o hundred_o man_n likewise_o perish_v during_o the_o voyage_n and_o valdes_n return_v into_o spain_n with_o seven_o or_o eight_o of_o his_o ship_n sarmento_n with_o four_o remain_v be_v at_o this_o straight_a build_v nombre_n de_fw-fr jesus_n at_o the_o begin_n of_o the_o straight_a and_o leave_v there_o a_o hundred_o and_o fifty_o man_n and_o
del_fw-it majo_n with_o the_o southern-motion_n in_o the_o end_n of_o august_n in_o 35_o degree_n of_o the_o meridian_n of_o tristian_a de_fw-fr cunha_n in_o may_n in_o the_o new_a moon_n the_o west-wind_n rage_v and_o shipwreck_n but_o in_o 33_o degree_n of_o the_o same_o meridian_n the_o north_n and_o north-east_n wind_n predominate_v 8._o in_o june_n and_o july_n in_o the_o sea_n of_o china_n at_o pulon_n timor_fw-la the_o west-wind_n be_v violent_a and_o dangerous_a 9_o between_o china_n and_o japan_n many_o storm_n be_v from_o the_o new_a moon_n of_o july_n to_o the_o twelve_o day_n of_o the_o moon_n 10._o there_o if_o in_o june_n other_o wind_n blow_v beside_o the_o motion_n sometime_o from_o this_o sometime_o from_o that_o quarter_n until_o that_o they_o be_v settle_v in_o the_o north-east_n quarter_n of_o a_o certain_a a_o storm_n follow_v the_o second_o book_n of_o general_n geography_n concern_v the_o affection_n of_o the_o place_n of_o the_o earth_n depend_v on_o the_o apparent_a motion_n of_o the_o star_n chap._n xxii_o of_o thing_n requisite_a to_o be_v foreknow_v in_o the_o knowledge_n of_o geography_n itherto_o we_o have_v be_v employ_v in_o a_o absolute_a contemplation_n of_o the_o earth_n we_o now_o draw_v near_o the_o second_o part_n of_o this_o doctrine_n in_o which_o we_o shall_v consider_v those_o property_n or_o affection_n which_o happen_v to_o the_o earth_n from_o the_o apparent_a motion_n of_o the_o sun_n and_o star_n neither_o will_v they_o be_v except_o this_o motion_n be_v evident_a the_o explication_n of_o which_o affection_n will_v with_o great_a right_n appertain_v unto_o geography_n if_o so_o be_v that_o same_o motion_n be_v attribute_v unto_o the_o earth_n itself_o of_o which_o we_o have_v treat_v in_o the_o six_o chapter_n now_o for_o the_o right_a knowledge_n of_o these_o affection_n these_o follow_a hypothesis_n and_o definition_n be_v necessary_a to_o be_v understand_v definition_n glâ—be_n a_o artificial_a terrestrial_a globe_n term_v a_o factitious_a glâ—be_n first_o the_o artificial_a terrestrial_a globe_n be_v term_v a_o factitious_a globe_n from_o who_o superficies_n the_o part_n of_o the_o earth_n and_o their_o situation_n aâ—_n 〈◊〉_d present_v as_o they_o have_v a_o existence_n in_o the_o earth_n itself_o according_a â—o_o the_o proportion_n of_o this_o superficies_n to_o the_o superficies_n of_o the_o earth_n consist_v a_o map_n a_o plain_a figure_n and_o of_o what_o line_n it_o consist_v a_o map_n or_o geographical_a card_n be_v a_o plain_a figure_n in_o which_o the_o situation_n of_o the_o terrestrial_a superficies_n be_v represent_v and_o this_o again_o be_v either_o universal_a or_o particular_a the_o first_o exhibit_v the_o whole_a superficies_n of_o the_o earth_n the_o other_o some_o one_o or_o other_o region_n some_o map_n consist_v of_o strait_a line_n and_o other_o of_o crooked_a these_o of_o straight_o be_v such_o in_o which_o the_o periphery_n or_o circumference_n of_o the_o terrestrial_a circle_n be_v represent_v by_o right_a line_n the_o other_o in_o which_o the_o same_o periphery_n be_v exhibit_v by_o crooked_a line_n but_o as_o for_o the_o composure_n of_o a_o terrestrial_a globe_n and_o geographical_a map_n we_o shall_v take_v a_o occasion_n to_o treat_v of_o in_o the_o end_n of_o our_o book_n by_o reason_n the_o same_o can_v be_v understand_v before_o the_o doctrine_n which_o we_o now_o handle_v be_v well_o apprehend_v earth_n of_o the_o pole_n and_o axis_n of_o the_o earth_n second_o the_o pole_n of_o the_o earth_n be_v two_o point_n diametrical_o opposite_a in_o the_o superficies_n of_o the_o same_o which_o remain_v immovable_a in_o the_o diurnal_a circumrotation_n of_o the_o earth_n or_o which_o be_v subject_v unto_o the_o pole_n of_o the_o apparent_a quotidian_n motion_n of_o the_o star_n but_o the_o axis_n of_o the_o earth_n be_v say_v to_o be_v the_o diameter_n conjoin_v the_o pole_n or_o thus_o the_o axis_n of_o the_o earth_n be_v that_o diameter_n of_o the_o earth_n about_o which_o the_o diurnal_a motion_n of_o the_o star_n or_o earth_n itself_o be_v perfect_v now_o the_o pole_n be_v say_v to_o be_v the_o extreme_a point_n of_o the_o axis_n in_o the_o superficies_n of_o the_o terrestrial_a globe_n and_o that_o pole_n which_o be_v subject_v to_o the_o constellation_n term_v the_o bear_n be_v call_v the_o arctic_a septentrional_n or_o northern_a pole_n the_o other_o be_v call_v the_o antarctic_a or_o southern_a pole_n these_o be_v by_o more_o facility_n explain_v by_o a_o artificial_a terrestrial_a globe_n than_o by_o word_n if_o the_o former_a be_v wheel_v round_o those_o two_o immovable_a point_n will_v appear_v which_o be_v the_o pole_n and_o the_o diameter_n imaginarily_o draw_v from_o one_o pole_n to_o the_o other_o through_o the_o centre_n of_o the_o earth_n shall_v be_v the_o axis_n line_n the_o aequator_fw-la or_o aequinoctial_a line_n three_o the_o aequator_fw-la be_v say_v to_o be_v the_o periphery_a or_o circumference_n of_o the_o great_a circle_n in_o the_o globe_n of_o the_o earth_n equal_o distant_a from_o both_o the_o pole_n or_o place_v in_o the_o middle_n between_o the_o pole_n or_o who_o pole_n be_v the_o same_o with_o the_o pole_n of_o the_o earth_n it_o be_v also_o term_v the_o aequinoctial_a line_n and_o that_o by_o mariner_n all_o the_o star_n in_o their_o diurnal_a motion_n make_v periphery_n equidistant_a or_o parallel_n to_o the_o aequator_fw-la wherefore_o the_o aequator_fw-la be_v the_o rule_n of_o diurnal_a motion_n parallel_n parallel_n four_o the_o parallel_n of_o the_o aequator_fw-la be_v say_v to_o be_v lesser_a periphery_n which_o be_v parallel_v to_o the_o aequator_fw-la in_o a_o artificial_a globe_n the_o aequator_fw-la by_o reason_n of_o its_o magnitude_n be_v more_o conspicuous_a than_o the_o other_o and_o its_o name_n be_v ascribe_v and_o it_o be_v divide_v into_o 360_o degree_n the_o parallel_n be_v also_o conspicuous_a which_o be_v likewise_o term_v the_o circle_n of_o the_o latitude_n of_o place_n as_o we_o shall_v show_v in_o the_o follow_a chapter_n map_n of_o map_n these_o may_v also_o be_v show_v in_o geographical_a map_n that_o be_v universal_a indeed_o in_o map_n of_o right_a line_n the_o pole_n be_v not_o represent_v but_o the_o extremity_n of_o every_o meridian_n be_v the_o pole_n but_o in_o map_n consist_v of_o crooked_a line_n the_o pole_n be_v those_o point_n in_o which_o the_o crooked_a line_n do_v meet_v the_o aequator_fw-la be_v transverse_a in_o both_o kind_n of_o map_n pass_v through_o the_o middle_n of_o they_o and_o have_v a_o great_a latitude_n than_o the_o other_o line_n and_o withal_o it_o be_v a_o strait_a line_n although_o in_o the_o particular_a map_n of_o asia_n and_o europe_n it_o be_v make_v crooked_a the_o parallel_n of_o the_o aequator_fw-la in_o strait-lined_n map_n be_v strait-lâ—â—â—s_a and_o in_o crooked-lined_n map_n they_o be_v crooked_a ecliptic_a the_o ecliptic_a five_o the_o ecliptic_a be_v the_o great_a circle_n of_o the_o heaven_n which_o the_o sun_n describe_v in_o his_o annual_a motion_n in_o truth_n it_o exi_v not_o in_o the_o earth_n but_o by_o reason_n of_o its_o notable_a use_n it_o be_v mark_v in_o the_o artificial_a globe_n as_o also_o in_o geographical_a map_n tropic_n the_o tropic_n six_o the_o tropic_n be_v two_o parallel_n of_o the_o aequator_fw-la which_o be_v distant_a from_o the_o aequator_fw-la by_o so_o great_a a_o interval_n as_o the_o great_a recess_n of_o the_o sun_n be_v from_o the_o aequator_fw-la towards_o the_o pole_n or_o as_o the_o great_a declination_n of_o the_o sun_n or_o obliquity_n of_o the_o ecliptic_a the_o tropic_a of_o cancer_n be_v that_o which_o be_v interpose_v between_o the_o aequator_fw-la and_o pole_n arctic_a the_o tropic_a of_o capricorn_n be_v that_o which_o be_v between_o the_o aequator_fw-la and_o the_o southern_a pole_n circle_n the_o polary_a circle_n in_o the_o globe_n and_o in_o map_n they_o be_v wont_v to_o be_v note_v by_o a_o double_a periphery_n and_o the_o same_o appellation_n be_v ascribe_v the_o polary_a circle_n be_v two_o parallel_n so_o call_v whereof_o one_o be_v distant_a from_o the_o pole_n arctic_a the_o other_o from_o the_o antarctic_a so_o many_o degree_n as_o the_o sun_n be_v from_o the_o aequator_fw-la in_o his_o great_a recess_n and_o the_o first_o be_v term_v the_o arctic_a circle_n and_o the_o other_o the_o antarctic_a the_o circle_n hitherto_o explain_v do_v not_o depend_v on_o certain_a place_n such_o as_o the_o follow_a do_v which_o in_o divers_a place_n be_v various_a and_o different_a meridian_n the_o meridian_n seven_o the_o meridian_n of_o any_o place_n in_o the_o superficies_n of_o the_o earth_n be_v a_o line_n so_o term_v which_o pass_v through_o that_o place_n in_o which_o when_o the_o sun_n come_v the_o meridies_n be_v in_o that_o place_n now_o the_o meridies_n be_v that_o moment_n of_o the_o day_n which_o be_v equal_o distant_a from_o the_o rise_n and_o set_v of_o the_o