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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
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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
autumn_n and_o the_o beginning_n of_o the_o winter_n in_o those_o place_n be_v when_o the_o sun_n obtain_v the_o great_a distance_n that_o possible_o he_o can_v from_o the_o vertex_fw-la of_o those_o place_n as_o it_o be_v lay_v down_o in_o the_o definition_n and_o it_o be_v true_a concern_v all_o the_o place_n of_o the_o torrid_a northern_a zone_n that_o the_o sun_n enter_v into_o the_o first_o degree_n of_o capricorn_n acquire_v the_o great_a distance_n in_o the_o meridies_n from_o the_o vertex_fw-la of_o those_o place_n because_o that_o in_o all_o the_o other_o day_n he_o be_v more_o near_o to_o those_o place_n therefore_o the_o sun_n be_v enter_v into_o the_o first_o degree_n of_o capricorn_n the_o beginning_n of_o the_o winter_n happen_v to_o all_o those_o place_n and_o also_o the_o end_n of_o autumn_n which_o be_v the_o first_o part_n of_o this_o proposition_n the_o other_o part_n be_v also_o easy_o prove_v for_o if_o these_o place_n be_v of_o a_o diverse_a latitude_n than_o the_o sun_n be_v not_o vertical_a in_o the_o meridies_n to_o those_o place_n in_o the_o same_o day_n but_o in_o diverse_a for_o than_o be_v the_o begin_n of_o the_o summer_n of_o any_o place_n of_o this_o torrid_a zone_n when_o the_o sun_n by_o his_o ascent_n from_o the_o first_o of_o capricorn_n come_v to_o that_o degree_n of_o the_o northern_a ecliptic_a that_o he_o be_v vertical_a to_o that_o place_n so_o that_o in_o divers_a day_n the_o beginning_n of_o summer_n may_v be_v in_o those_o divers_a place_n yet_o in_o all_o those_o place_n its_o beginning_n fall_v between_o the_o 21_o of_o march_n and_o the_o 21_o of_o june_n the_o summer_n shall_v also_o end_v in_o different_a day_n and_o the_o autumn_n begin_v because_o the_o sun_n in_o divers_a day_n come_v to_o his_o mean_a distance_n or_o to_o the_o point_n of_o the_o ecliptic_a which_o have_v a_o moderate_a distance_n from_o those_o place_n because_o these_o point_n be_v different_o seat_v between_o the_o first_o of_o libra_n 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have_v it_o in_o different_a day_n yet_o so_o that_o the_o begin_n of_o the_o summer_n of_o all_o those_o place_n do_v fall_v between_o the_o 21_o of_o september_n and_o the_o 21_o of_o december_n the_o beginning_n of_o autumn_n and_o the_o end_n of_o summer_n between_o the_o 21_o of_o march_n and_o the_o 21_o of_o june_n the_o beginning_n of_o the_o spring_n and_o the_o end_n of_o winter_n between_o the_o 21_o of_o june_n and_o the_o 21_o of_o september_n the_o part_n of_o this_o proposition_n be_v prove_v after_o the_o same_o manner_n as_o the_o former_a for_o on_o the_o 21_o of_o june_n the_o sun_n be_v in_o the_o first_o degree_n of_o cancer_n and_o therefore_o have_v the_o great_a distance_n that_o be_v possible_a from_o the_o place_n of_o the_o austrial_a torrid_a zone_n then_o therefore_o all_o of_o they_o shall_v have_v the_o beginning_n of_o winter_n but_o the_o begin_n of_o summer_n the_o spring_n and_o autumn_n shall_v happen_v on_o divers_a day_n because_o the_o sun_n in_o sundry_a point_n of_o the_o ecliptic_a become_v vertical_a unto_o divers_a place_n and_o acquire_v also_o a_o moderate_a distance_n from_o those_o place_n in_o many_o place_n 4._o those_o place_n of_o the_o earth_n in_o the_o torrid_a zone_n have_v something_o peculiar_a which_o lie_v between_o the_o aequator_fw-la and_o the_o eight_o degree_n of_o latitude_n as_o well_o towards_o the_o north_n as_o south_n for_o the_o sun_n by_o his_o proper_a motion_n or_o by_o his_o access_n or_o recess_n make_v two_o summer_n in_o they_o two_o spring_n but_o yet_o but_o one_o autumn_n and_o one_o winter_n and_o that_o by_o a_o confuse_a kind_n of_o order_n viz._n this_o the_o spring_n the_o summer_n the_o spring_n the_o summer_n again_o then_o autumn_n and_o then_o winter_n latitude_n the_o place_n in_o the_o torrid_a zone_n have_v something_o peculiar_a to_o they_o which_o lie_v between_o the_o aequator_fw-la and_o the_o 8_o degree_n of_o latitude_n the_o cause_n of_o this_o paradox_n be_v because_o the_o sun_n recede_v from_o the_o vertices_fw-la of_o those_o place_n which_o lie_v between_o the_o aequator_fw-la and_o the_o 8_o degree_n of_o the_o boreal_a or_o northern_a latitude_n where_o it_o make_v the_o beginning_n of_o the_o first_o summer_n and_o go_v forward_o towards_o the_o beginning_n of_o cancer_n it_o acquire_v here_o a_o a_o moderate_a distance_n when_o it_o return_v from_o the_o vertices_fw-la towards_o those_o vertices_fw-la it_o shall_v not_o make_v autumn_n after_o that_o first_o summer_n but_o another_o spring_n see_v that_o it_o make_v the_o first_o before_o it_o begin_v the_o first_o summer_n where_o it_o obtain_v a_o mean_a distance_n between_o the_o first_o of_o capricorn_n and_o the_o first_o of_o aries_n for_o example_n let_v we_o take_v a_o place_n which_o be_v four_o degree_n from_o the_o aequator_fw-la because_o therefore_o also_o the_o sun_n in_o the_o ten_o degree_n of_o aries_n decline_v and_o be_v distant_a from_o the_o aequator_fw-la 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again_o opposite_a four_o day_n of_o the_o year_n in_o two_o of_o which_o the_o sun_n shall_v obtain_v a_o middle_a distance_n from_o the_o place_n give_v if_o therefore_o the_o place_n give_v be_v north_n take_v two_o of_o those_o four_o day_n whereof_o one_o happen_v between_o the_o 21_o of_o december_n and_o the_o 21_o of_o march_n this_o shall_v be_v the_o entrance_n of_o the_o spring_n the_o other_o between_o the_o 21_o of_o september_n and_o the_o 21_o of_o december_n this_o shall_v be_v the_o entrance_n of_o autumn_n but_o if_o the_o place_n give_v be_v south_n from_o those_o four_o day_n you_o must_v take_v the_o day_n between_o the_o 21_o of_o june_n and_o the_o 21_o of_o september_n for_o the_o entrance_n of_o the_o spring_n and_o for_o the_o begin_n of_o autumn_n that_o which_o happen_v between_o the_o 21_o of_o march_n and_o the_o 21_o of_o june_n the_o beginning_n of_o winter_n shall_v be_v the_o 21_o of_o june_n if_o the_o place_n be_v south_n but_o if_o north_n the_o 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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 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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 account_v by_o the_o vulgar_a for_o a_o twilight_n in_o the_o frigid_a zone_n the_o twilight_n continue_v for_o many_o day_n when_o the_o sun_n remain_v beneath_o their_o horizon_n in_o the_o temperate_a zone_n it_o continue_v 3_o 4_o 5_o and_o 6_o hour_n and_o in_o some_o place_n all_o night_n and_o in_o the_o day_n of_o the_o summer_n according_a as_o the_o place_n be_v more_o or_o less_o nigh_o the_o frigid_a zone_n all_o these_o be_v prove_v by_o the_o mode_n propose_v in_o the_o precedent_a proposition_n proposition_n ix_o a_o place_n be_v give_v in_o the_o temperate_a or_o frigid_a zone_n and_o another_o in_o the_o torrid_a zone_n and_o moreover_o the_o day_n of_o the_o year_n be_v give_v to_o find_v out_o the_o hour_n of_o the_o place_n of_o the_o torrid_a zone_n in_o which_o hour_n the_o sun_n may_v have_v the_o altitude_n above_o the_o horizon_n of_o that_o place_n and_o so_o strike_v that_o place_n with_o his_o ray_n equal_o elevate_v as_o great_a as_o it_o have_v in_o the_o place_n of_o the_o temperate_a zone_n in_o the_o meridies_n itself_o let_v the_o pole_n be_v elevate_v for_o the_o latitude_n of_o the_o place_n of_o the_o temperate_a or_o frigid_a zone_n and_o let_v the_o place_n of_o the_o sun_n find_v from_o the_o day_n give_v be_v bring_v to_o the_o meridian_n and_o the_o altitude_n of_o it_o reckon_v for_o this_o be_v the_o altitude_n of_o the_o ray_n heat_n that_o place_n and_o illustrate_v it_o in_o the_o meridies_n then_o let_v the_o pole_n be_v elevate_v for_o the_o latitude_n of_o the_o place_n give_v in_o the_o torrid_a zone_n 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 altitude_n before_o find_v out_o be_v note_v in_o it_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 to_o the_o twelve_o hour_n of_o the_o cycle_n then_o let_v both_o the_o globe_n and_o the_o quadrant_n be_v move_v till_o the_o place_n of_o the_o sun_n agree_v with_o the_o note_a 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not_o such_o and_o so_o great_a in_o the_o place_n of_o the_o temperate_a or_o frigid_a zone_n then_o second_o that_o the_o sun_n strait_o ascend_v towards_o the_o meridian_n above_o the_o horizon_n of_o the_o place_n of_o the_o torrid_a zone_n send_v forth_o all_o his_o ray_n to_o the_o place_n as_o in_o one_o plain_a and_o to_o one_o plaga_fw-la and_o therefore_o cause_v great_a heat_n than_o in_o the_o temperate_a or_o frigid_a zone_n where_o the_o sun_n move_v oblique_o from_o the_o horizon_n to_o the_o meridian_n and_o send_v forth_o his_o ray_n from_o one_o and_o another_o plaga_fw-la therefore_o the_o ray_n be_v not_o contract_v into_o a_o place_n so_o narrow_a nor_o do_v they_o continual_o heat_n for_o example_n let_v we_o seek_v in_o what_o hour_n of_o the_o day_n in_o place_n be_v under_o the_o very_a aequator_fw-la on_o the_o day_n of_o the_o aequinoctial_o the_o sun_n will_v have_v that_o altitude_n as_o he_o have_v at_o amstelodame_n on_o the_o meridies_n of_o the_o same_o day_n proposition_n x._o how_o the_o cause_n of_o light_n heat_n and_o of_o the_o season_n which_o we_o have_v reckon_v up_o in_o the_o first_o proposition_n of_o this_o chapter_n have_v themselves_o in_o the_o torrid_a zone_n and_o how_o to_o show_v they_o show_v of_o the_o seasont_n light_n and_o heat_n in_o the_o torrid_a zone_n and_o how_o they_o be_v show_v first_o every_o day_n of_o the_o year_n ascend_v direct_o above_o the_o horizon_n of_o those_o place_n especial_o of_o the_o aequator_fw-la towards_o the_o meridian_n and_o the_o vertex_fw-la of_o they_o and_o therefore_o about_o the_o nine_o hour_n of_o forenoon_n he_o hegin_v to_o ejaculate_a to_o those_o place_n ray_n about_o 40_o degree_n decline_v from_o the_o perpendicular_a ray_n which_o rectitude_n of_o the_o ray_n or_o perpendicular_a of_o the_o ray_n augment_v towards_o the_o meridies_n and_o again_o decrease_v continue_v to_o the_o four_o hour_n after_o the_o meridies_n or_o noonstead_n where_o the_o sun_n depart_v towards_o the_o occidental_a horizon_n begin_v to_o send_v forth_o his_o ray_n more_o oblique_o to_o those_o place_n therefore_o the_o great_a heat_n in_o those_o place_n ought_v to_o be_v from_o about_o the_o nine_o hour_n before_o noon_n even_o to_o the_o three_o or_o four_o after_o noon_n if_o that_o this_o cause_n be_v only_o regard_v but_o yet_o because_o the_o sun_n now_o depart_v from_o the_o vertex_fw-la of_o those_o place_n and_o sometime_o approach_v near_o therefore_o the_o winter_n of_o every_o one_o of_o those_o place_n shall_v be_v when_o the_o sun_n go_v from_o the_o point_n of_o the_o ecliptic_a much_o remote_a from_o those_o place_n that_o be_v from_o the_o first_o degree_n of_o cancer_n or_o capricorn_n towards_o the_o point_n have_v a_o middle_a
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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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 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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 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nation_n receive_v the_o mystery_n of_o the_o science_n from_o the_o egyptian_n and_o arabian_n the_o province_n which_o be_v immediate_o between_o both_o torrid_a zone_n enjoy_v a_o a_o benign_a heaven_n so_o that_o they_o flourish_n in_o religion_n justice_n and_o prudence_n the_o mutation_n of_o government_n the_o transmigration_n and_o emission_n of_o colony_n converse_n matrimony_n war_n and_o peace_n also_o the_o motion_n of_o the_o celestial_a sphere_n which_o drive_v from_o the_o pole_n and_o the_o zodiac_n of_o the_o primum_fw-la mobile_n the_o heavenly_a image_n on_o these_o inferior_a body_n do_v change_n and_o alter_v the_o habit_n manner_n and_o also_o nature_n itself_o if_o we_o have_v recourse_n unto_o history_n we_o shall_v find_v the_o german_n note_v of_o old_a for_o lofty_a mind_n and_o the_o italian_n on_o the_o contrary_a too_o abject_a and_o low_a which_o difference_n now_o can_v be_v discern_v nation_n have_v sway_v and_o be_v predominate_a by_o turn_n and_o as_o long_o as_o the_o monarchy_n have_v have_v duration_n among_o they_o virtue_n have_v flourish_v art_n and_o arm_n have_v go_v hand_n in_o hand_n which_o afterward_o with_o the_o ruin_n of_o the_o empire_n have_v be_v smother_v in_o its_o ash_n and_o receive_v vivification_n in_o another_o place_n yet_o notwithstanding_o these_o obstacle_n every_o nation_n have_v certain_a propension_n and_o fix_a affection_n appropriate_v to_o every_o one_o which_o will_v adhere_v to_o foreigner_n if_o that_o they_o long_o remain_v among_o they_o the_o intelligent_a reader_n who_o desire_v a_o knowledge_n in_o these_o and_o other_o particular_n with_o a_o throughout_o prospect_n of_o the_o utility_n of_o cosmography_n and_o geography_n may_v consult_v the_o work_n itself_o richard_z blome_n the_o content_n of_o the_o section_n and_o chapter_n general_z geography_n which_o may_v be_v divide_v into_o iii_o part_n 1._o the_o absolute_a part_n divide_v into_o five_o section_n the_o first_o section_n of_o thing_n to_o be_v foreknow_v chap._n 1._o of_o the_o precognita_n pag._n 1_o ch._n 2._o thing_n necessary_a to_o geometry_n and_o trigonometry_n p._n 6_o the_o second_o section_n explain_v the_o affection_n of_o the_o whole_a earth_n chap._n 3._o of_o the_o figure_n of_o the_o earth_n p._n 11_o chap._n 4._o of_o the_o dimension_n and_o magnitude_n of_o the_o same_o 15_o chap._n 5._o of_o the_o motion_n of_o the_o same_o p._n 23_o chap._n 6._o of_o its_o place_n in_o the_o system_fw-la of_o the_o world_n p._n 27_o chap._n 7._o of_o its_o substance_n and_o constitution_n p._n 30_o the_o three_o section_n in_o which_o the_o constitution_n and_o part_n of_o the_o earth_n be_v explain_v chap._n 8._o of_o the_o division_n of_o the_o earth_n by_o water_n p._n 35_o chap._n 9_o of_o mountain_n in_o general_a p._n 40_o chap._n 10._o of_o the_o difference_n of_o mountain_n p._n 46_o chap._n 11._o of_o wood_n desert_n and_o mine_n p._n 54_o the_o four_o section_n of_o hydrography_n in_o which_o the_o water_n and_o their_o property_n be_v explain_v chap._n 12._o of_o the_o division_n of_o the_o ocean_n throughout_o the_o earth_n p._n 57_o chap._n 13._o of_o the_o ocean_n and_o its_o part_n p._n 65_o chap._n 14._o of_o the_o motion_n of_o the_o sea_n especial_o of_o the_o flux_n and_o reflux_n p._n 83_o chap._n 15._o of_o lake_n pool_n and_o marsh_n p._n 102_o chap._n 16._o of_o river_n p._n 108_o chap._n 17._o of_o mineral_n water_n bath_n spaw_n etc._n etc._n p._n 130_o chap._n 18._o of_o the_o mutation_n of_o dry_a place_n into_o watery_a and_o the_o contrary_a p._n 142_o the_o five_o section_n of_o the_o atmosphere_n and_o wind_n chap._n 19_o of_o the_o atmosphere_n and_o air_n p._n 154_o chap._n 20._o of_o the_o wind_n in_o general_a p._n 179_o chap._n 21._o of_o the_o difference_n of_o wind_n and_o of_o they_o in_o particular_a p._n 187_o 2._o the_o respective_a part_n explain_v the_o celestial_a affection_n chap._n 22._o of_o the_o celestial_a affection_n in_o general_a p._n 2â—3_n ch._n 23._o of_o the_o latitude_n of_o a_o place_n and_o the_o elevation_n of_o the_o pole_n p._n 207_o chap._n 24._o of_o the_o division_n of_o the_o earth_n into_o zone_n p._n 213_o chap._n 25._o of_o the_o longitude_n of_o the_o day_n and_o division_n of_o the_o earth_n into_o climate_n p._n 220_o chap._n 26._o of_o the_o light_n heatt_z cold_a rains_n with_o other_o property_n of_o the_o zone_n according_a to_o the_o season_n of_o the_o year_n p._n 231_o chap._n 27._o of_o shadow_n and_o the_o division_n of_o the_o inhabitant_n in_o respect_n of_o the_o shadow_n p._n 259_o chap._n 28._o of_o the_o comparation_n of_o the_o celestial_a affection_n in_o divers_a place_n where_o be_v treat_v concern_v the_o antoeci_n perioeci_n and_o antipode_n p._n 269_o chap._n 29._o of_o the_o diversity_n of_o time_n in_o divers_a place_n p._n 275_o chap._n 30._o of_o the_o divers_a rise_n of_o the_o sun_n and_o moon_n and_o of_o the_o other_o appearance_n p._n 280_o 3._o the_o comparative_a part_n consider_v the_o affection_n which_o do_v arise_v from_o the_o compare_v of_o one_o place_n to_o another_o chap._n 31._o of_o the_o longitude_n of_o place_n p._n 291_o chap._n 32._o of_o the_o situation_n of_o place_n one_o to_o another_o p._n 309_o chap._n 33._o of_o the_o mutual_a distance_n of_o place_n p._n 335_o chap._n 34._o of_o the_o visible_a horizon_n p._n 342_o chap._n 35._o of_o the_o art_n of_o navigation_n in_o general_n and_o of_o the_o building_n of_o ship_n p._n 344_o chap._n 36._o of_o the_o lade_n or_o ballace_v of_o ship_n p._n 345_o chap._n 37._o of_o the_o directory_n of_o the_o nautick_a art_n in_o the_o first_o part_n the_o knowledge_n of_o the_o distance_n p._n 347_o chap._n 38._o thâ—â—â—â—ond_a part_n the_o knowledge_n of_o the_o quarter_n p._n 348_o chap._n 39_o the_o three_o part_n of_o histiodromia_n or_o the_o course_n of_o a_o ship_n p._n 353_o chap._n 40._o the_o four_o part_n of_o the_o
place_n of_o a_o ship_n in_o a_o voyage_n p._n 361_o lib._n 1._o c._n 2._o a_o half_a english_a foot_n a_o half_a dutch_a and_o also_o a_o old_a roman_a half_a foot_n a_o half_a foot_n of_o paris_n in_o french_a and_o also_o a_o half_a greek_a foot_n a_o half_a foot_n of_o antwerp_n in_o handers_n a_o half_a egyptian_a foot_n from_o alexandria_n a_o half_a babylonian_a foot_n mention_v by_o historian_n a_o half_a foot_n of_o venice_n a_o half_a foot_n of_o toledo_n in_o spain_n a_o half_a foot_n of_o vienna_n in_o austria_n the_o proportion_n of_o diverse_a mile_n according_a to_o their_o compaired_a length_n lib._n 1._o c._n 2._o a_o indian_a mile_n a_o russian_a mile_n a_o mile_n of_o cambaja_n a_o english_a mile_n a_o french_a mile_n and_o almost_o a_o old_a arabian_a league_n a_o holland_n mile_n a_o spanish_a league_n a_o german_a mile_n a_o swedish_n mile_n the_o absolute_a or_o complete_a part_n of_o general_n geography_n book_n i._o sect_n i._o chap._n i._o concern_v the_o precognita_n or_o thing_n know_v before_o the_o handle_n of_o the_o art_n itself_o as_o the_o definition_n division_n object_n property_n principle_n order_n method_n original_a excellency_n and_o other_o affection_n of_o geography_n to_o be_v speak_v of_o by_o way_n of_o preface_n necessary_a a_o preface_n to_o a_o art_n very_o necessary_a the_o custom_n or_o fashion_n have_v for_o a_o long_a time_n prevail_v that_o they_o who_o complete_o treat_v of_o and_o handle_v any_o art_n or_o science_n do_v in_o the_o first_o place_n declare_v some_o thing_n touch_v the_o condition_n method_n constitution_n and_o other_o property_n of_o their_o doctrine_n neither_o do_v i_o think_v that_o this_o be_v do_v by_o they_o without_o reason_n so_o that_o it_o be_v perform_v without_o any_o sophistical_a encroachment_n see_v that_o by_o such_o like_a forehad_a instruction_n the_o reader_n understanding_n may_v beforehand_o conceive_v a_o certain_a idea_n or_o platform_n of_o the_o whole_a art_n or_o science_n to_o be_v afterward_o handle_v or_o at_o least_o may_v understand_v the_o argument_n or_o content_n thereof_o and_o withal_o may_v gather_v thereby_o how_o he_o ought_v to_o order_v himself_o in_o the_o study_v the_o same_o i_o therefore_o shall_v in_o this_o chapter_n deliver_v some_o few_o passage_n concern_v the_o same_o the_o definition_n of_o geography_n geography_n be_v call_v a_o mix_v mathematical_a science_n which_o teach_v the_o affection_n or_o quality_n of_o the_o earth_n and_o the_o part_n thereof_o depend_v of_o quantity_n that_o be_v to_o say_v the_o figure_n place_n magnitude_n and_o other_o like_a property_n geography_n by_o some_o but_o too_o strict_o be_v take_v for_o the_o only_a description_n and_o place_v the_o country_n of_o the_o earth_n and_o on_o the_o contrary_a by_o other_o it_o be_v extend_v but_o too_o large_o to_o the_o political_a description_n of_o every_o country_n but_o these_o man_n be_v easy_o excuse_v see_v they_o do_v it_o to_o retain_v and_o stir_v up_o the_o reader_n affection_n who_o otherwise_o by_o a_o bare_a account_n and_o naked_a description_n of_o those_o country_n will_v be_v make_v drowsy_a and_o heedless_a the_o division_n of_o geography_n we_o will_v divide_v geography_n into_o general_n and_o special_a or_o universal_a and_o particular_a general_n or_o universal_a geography_n be_v that_o which_o do_v general_o consider_v the_o earth_n and_o declare_v its_o property_n without_o any_o respect_n of_o particular_a country_n special_a or_o particular_a geography_n be_v that_o which_o teach_v the_o constitution_n and_o place_n of_o all_o single_a country_n or_o every_o country_n by_o itself_o and_o this_o particular_a geography_n be_v twofold_a part_n particular_a geography_n twofold_a chorographical_a and_o topographical_n general_n geography_n and_o its_o part_n to_o wit_n chorography_n and_o topography_n chorography_n propose_v the_o description_n of_o any_o country_n have_v at_o least_o a_o mean_a magnitude_n topography_n describe_v any_o little_a tract_n of_o land_n or_o place_n in_o this_o book_n we_o will_v present_v you_o with_o a_o general_n geography_n which_o we_o have_v distribute_v into_o three_o part_n to_o wit_n the_o absolute_a part_n the_o respective_a part_n and_o the_o comparative_a part_n in_o the_o absolute_a part_n we_o will_v consider_v the_o very_a body_n of_o the_o earth_n with_o its_o part_n and_o proper_a affection_n and_o quality_n as_o figure_n magnitude_n motion_n land_n sea_n river_n etc._n etc._n in_o the_o respective_a part_n we_o will_v contemplate_v those_o property_n and_o accident_n which_o from_o celestial_a cause_n happen_v to_o the_o earth_n and_o last_o the_o comparative_a part_n shall_v contain_v a_o explication_n of_o those_o property_n which_o arise_v from_o the_o compare_v of_o divers_a place_n of_o the_o earth_n the_o object_n of_o geography_n the_o object_n of_o geography_n or_o subject_a about_o which_o it_o be_v employ_v be_v the_o earth_n but_o principal_o its_o superficies_n and_o part_n the_o property_n of_o geography_n those_o thing_n which_o deserve_v to_o be_v consider_v in_o every_o country_n seem_v to_o be_v of_o a_o triple_a kind_n to_o wit_n celestial_a terrestrial_a and_o human_a and_o therefore_o may_v be_v declare_v in_o the_o particular_a geography_n for_o every_o country_n with_o the_o profit_n of_o learner_n and_o reader_n geography_n the_o celestial_a property_n of_o geography_n i_o call_v those_o celestial_a property_n which_o depend_v on_o the_o apparent_a motion_n of_o the_o sun_n star_n and_o other_o planet_n and_o seem_v to_o be_v eight_o 1._o the_o elevation_n of_o the_o pole_n the_o distance_n of_o the_o place_n from_o the_o equator_fw-la and_o from_o the_o pole_n 2._o the_o obliquity_n or_o wriness_n of_o the_o daily_a motion_n of_o the_o star_n above_o the_o horizon_n of_o that_o place_n 3._o the_o quantity_n of_o the_o long_a and_o short_a day_n 4._o the_o climate_n and_o zone_n 5._o heatt_z and_o cold_a and_o the_o season_n of_o the_o year_n also_o rain_n snow_n wind_n and_o other_o meteor_n for_o although_o these_o thing_n may_v be_v refer_v to_o terrestrial_a property_n yet_o because_o they_o have_v a_o great_a affinity_n with_o the_o four_o season_n of_o the_o year_n and_o motion_n of_o the_o sun_n therefore_o we_o have_v marshal_v they_o in_o the_o order_n and_o rank_n of_o celestial_n 6._o the_o rise_n of_o the_o star_n their_o appearance_n and_o continuance_n above_o the_o horizon_n 7._o the_o star_n pass_v through_o the_o vertical_a point_n of_o the_o place_n 8._o the_o quantity_n or_o swiftness_n of_o the_o motion_n wherewith_o according_a to_o copernicus_n his_o hypothesis_n each_o one_o be_v very_a hour_n wheel_v about_o according_a to_o astrologer_n a_o nine_o property_n may_v be_v add_v because_o they_o do_v appoint_v one_o of_o the_o twelve_o sign_n of_o the_o zodiac_n and_o the_o peculiar_a planet_n of_o that_o sign_n to_o rule_v and_o govern_v every_o country_n but_o this_o doctrine_n have_v ever_o seem_v to_o i_o frivolous_a neither_o can_v i_o perceive_v any_o ground_n for_o it_o nevertheless_o at_o the_o end_n of_o our_o special_a or_o particular_a geography_n we_o will_v reckon_v up_o this_o their_o distribution_n these_o may_v suffice_v for_o the_o celestial_a affection_n or_o property_n i_o call_v those_o terrestrial_a property_n which_o be_v consider_v in_o the_o place_n of_o every_o country_n itself_o of_o which_o i_o shall_v note_v ten._n 1._o the_o bound_n and_o circumference_n of_o the_o country_n 2_o it_o be_v figure_n 3_o it_o be_v magnitude_n 4_o its_o mountain_n 5_o its_o water_n as_o river_n spring_n bay_n of_o the_o sea_n 6_o the_o wood_n and_o desert_n 7_o the_o fruitfulness_n and_o barrenness_n as_o also_o the_o kind_n of_o fruit_n 8_o the_o mineral_n or_o thing_n dig_v out_o of_o the_o earth_n 9_o the_o live_a creature_n 10_o the_o longitude_n of_o the_o place_n which_o ought_v to_o be_v add_v to_o the_o first_o terrestrial_a property_n to_o wit_v the_o circumference_n geography_n the_o humane_a property_n of_o geography_n i_o make_v the_o three_o kind_n of_o property_n which_o be_v to_o be_v consider_v in_o every_o country_n to_o be_v humane_a which_o do_v depend_v of_o the_o man_n or_o native_n and_o inhabitant_n of_o the_o country_n of_o which_o humane_a property_n about_o ten_o also_o may_v be_v make_v 1._o the_o stature_n of_o the_o native_n as_o to_o their_o shape_n colour_n length_n of_o life_n original_a meat_n drink_v &_o c._n 2_o their_o traffic_v and_o art_n in_o which_o the_o inhabitant_n be_v employ_v 3_o their_o virtue_n vice_n learning_n wit_n &_o c._n 4_o their_o custom_n in_o marriage_n christen_n burial_n &_o c._n 5_o their_o speech_n and_o language_n 6_o their_o state-government_n 7_o their_o religion_n and_o church-government_n 8_o their_o city_n and_o most_o renown_a place_n 9_o their_o memorable_a history_n and10_n their_o famous_a man_n artifices_fw-la and_o invention_n of_o the_o native_n of_o all_o country_n
these_o be_v the_o three_o sort_n of_o property_n to_o be_v declare_v in_o special_a geography_n although_o those_o terrestrial_a property_n which_o make_v up_o the_o three_o rank_n be_v not_o so_o right_o refer_v to_o geography_n but_o we_o must_v yield_v somewhat_o to_o custom_n and_o the_o profit_n of_o learner_n we_o will_v beside_o these_o join_v many_o chapter_n to_o particular_a geography_n concern_v the_o practice_n of_o geography_n but_o in_o general_n geography_n which_o we_o will_v unfold_v in_o this_o book_n first_o the_o absolute_a property_n of_o the_o earth_n and_o its_o constitution_n be_v consider_v last_o in_o the_o comparative_a part_n those_o thing_n shall_v be_v propose_v which_o be_v offer_v unto_o we_o in_o the_o compare_v one_o place_n with_o another_o the_o principle_n of_o geography_n the_o principle_n which_o geography_n use_v for_o the_o confirm_v the_o truth_n of_o her_o proposition_n be_v threefold_a 1._o geometrical_a arithmetical_a and_o trigonometrical_a proposition_n 2._o astronomical_a precept_n and_o theorem_n although_o it_o may_v seem_v like_o a_o miracle_n for_o the_o knowledge_n of_o the_o earth_n in_o which_o we_o dwell_v to_o use_v the_o celestial_a body_n which_o be_v so_o many_o thousand_o mile_n remote_a from_o we_o 3._o experience_n for_o indeed_o the_o great_a part_n of_o geography_n especial_o that_o which_o be_v particular_a be_v uphold_v by_o the_o only_a experience_n and_o observation_n of_o man_n who_o have_v describe_v every_o country_n the_o order_n of_o geography_n concern_v the_o order_n which_o i_o esteem_v sit_v to_o observe_v in_o this_o art_n of_o geography_n it_o have_v be_v already_o speak_v in_o the_o division_n and_o explication_n of_o the_o property_n thereof_o yet_o here_o meet_v we_o a_o certain_a difficulty_n concern_v the_o order_n to_o be_v observe_v in_o the_o explication_n of_o these_o property_n forsooth_o whether_o to_o all_o country_n their_o own_o property_n be_v to_o be_v attribute_v or_o whether_o the_o country_n themselves_o be_v to_o be_v ascribe_v to_o the_o property_n general_o explicate_v aristotle_n in_o the_o first_o book_n of_o the_o history_n of_o live_v creature_n as_o also_o in_o his_o first_o book_n of_o the_o part_n of_o live_a creature_n move_v the_o like_a doubt_n and_o dispute_v it_o at_o large_a whether_o according_a to_o the_o single_a â—orts_n of_o live_a creature_n their_o property_n be_v single_o to_o be_v reckon_v up_o or_o else_o whether_o these_o property_n be_v general_o to_o be_v declare_v and_o the_o live_a creature_n in_o which_o the_o may_v be_v find_v be_v then_o to_o be_v subjoin_v the_o like_a difficulty_n occur_v also_o in_o other_o part_n of_o philosophy_n we_o in_o general_n geography_n have_v general_o unfold_v some_o property_n which_o in_o special_a geography_n we_o will_v apply_v to_o the_o application_n of_o single_a country_n the_o method_n of_o geography_n as_o touch_v the_o method_n and_o manner_n of_o prove_v the_o truth_n of_o geographical_a tenant_n very_o many_o be_v prove_v in_o general_a geography_n by_o demonstration_n proper_o so_o call_v especial_o celestial_a property_n but_o in_o special_a geography_n the_o celestial_a property_n only_o except_v which_o may_v be_v demonstrate_v be_v in_o a_o manner_n declare_v without_o demonstration_n because_o experience_n and_o observation_n do_v confirm_v they_o neither_o can_v they_o be_v prove_v by_o any_o other_o mean_n also_o very_a many_o proposition_n be_v prove_v or_o rather_o demonstrate_v by_o the_o terrestrial_a artificial_a globe_n and_o also_o by_o geographical_a map_n and_o some_o of_o these_o proposition_n which_o be_v thus_o explain_v upon_o the_o globe_n etc._n etc._n may_v be_v confirm_v by_o lawful_a demonstration_n again_o some_o proposition_n can_v in_o no_o wise_n be_v so_o prove_v but_o be_v therefore_o receive_v because_o we_o suppose_v that_o all_o place_n in_o the_o globe_n and_o map_n be_v so_o dispose_v even_o as_o they_o lie_v on_o the_o earth_n yet_o in_o these_o thing_n we_o will_v rather_o follow_v the_o description_n make_v by_o author_n of_o geography_n the_o globe_n and_o map_n serve_v for_o the_o clear_n and_o more_o easy_a comprehension_n thereof_o the_o original_a of_o geography_n the_o original_a of_o geography_n be_v not_o new_a nor_o bring_v into_o the_o world_n at_o one_o birth_n neither_o come_v she_o to_o we_o from_o one_o man_n but_o her_o principle_n and_o foundation_n be_v lay_v long_o ago_o yea_o many_o age_n since_o although_o ancient_a geographer_n be_v employ_v only_o in_o describe_v country_n which_o be_v the_o part_n of_o chorography_n and_o topography_n the_o roman_n be_v accustom_v when_o any_o country_n by_o they_o be_v subdue_v to_o show_v in_o their_o triumph_n the_o chorography_n thereof_o lively_o pencil_v and_o draw_v on_o a_o table_n and_o flourish_v with_o picture_n to_o the_o beholder_n there_o be_v beside_o at_o rome_n in_o lucullus_n his_o porch_n many_o table_n of_o geography_n expose_v to_o the_o view_n of_o all_o man_n the_o senate_n of_o rome_n about_o a_o hundred_o year_n before_o christ_n birth_n send_v surveyor_n and_o geographer_n into_o divers_a part_n of_o the_o world_n that_o they_o may_v measure_v out_o the_o earth_n but_o they_o come_v far_o short_a thereof_o neco_n king_n of_o the_o egyptian_n many_o age_n before_o the_o birth_n of_o christ_n command_v that_o the_o whole_a outer-side_n of_o africa_n shall_v be_v discover_v by_o the_o phoenician_n in_o three_o year_n space_n king_n darius_n command_v that_o the_o mouth_n of_o the_o river_n indus_n and_o the_o ethiopian_a eastern-sea_n shall_v be_v search_v out_o alexander_n the_o great_a in_o his_o voyage_n to_o asia_n take_v with_o he_o diognetus_n and_o beton_n as_o pliny_n note_v two_o surveyor_n and_o describer_n of_o his_o journey_n out_o of_o who_o annotation_n and_o journal_o geographer_n of_o succeed_a age_n take_v many_o thing_n imperfect_a ancient_a geography_n very_o imperfect_a but_o the_o geography_n of_o the_o ancient_n be_v very_o lame_a and_o imperfect_a for_o first_o they_o know_v not_o america_n in_o the_o least_o 2._o the_o northern-land_n 3._o the_o south-land_n and_o magellan_n be_v utter_o unknown_a to_o they_o 4._o they_o know_v not_o whether_o the_o earth_n may_v be_v sail_v about_o or_o the_o main_a ocean_n with_o a_o continual_a trace_n do_v encompass_v it_o but_o yet_o i_o deny_v not_o but_o that_o some_o of_o the_o ancient_n be_v of_o that_o opinion_n yet_o i_o utter_o deny_v they_o know_v it_o certain_o 5._o they_o know_v not_o whether_o the_o torrid_a zone_n be_v habitable_a 6._o they_o be_v ignorant_a of_o the_o true_a dimension_n of_o the_o earth_n although_o they_o write_v many_o thing_n in_o this_o business_n the_o excellency_n of_o geography_n first_o the_o study_n of_o geography_n be_v commend_v to_o we_o by_o the_o great_a worthiness_n thereof_o because_o it_o most_o of_o all_o become_v man_n be_v a_o inhabitant_n of_o the_o earth_n and_o endue_v with_o reason_n above_o all_o live_a creature_n second_o it_o be_v also_o a_o pleasant_a thing_n and_o indeed_o a_o honest_a recreation_n to_o contemplate_v the_o kingdom_n and_o property_n of_o the_o earth_n three_o the_o commodity_n and_o necessity_n of_o it_o be_v notable_a insomuch_o as_o neither_o divine_n physician_n lawyer_n historian_n nor_o other_o professor_n can_v want_v the_o knowledge_n thereof_o but_o the_o excellency_n of_o geography_n have_v be_v sufficient_o handle_v i_o place_v hereunder_o a_o table_n which_o open_v the_o order_n in_o special_a geography_n to_o the_o observe_v the_o explication_n of_o single_a country_n special_a geography_n consider_v in_o every_o region_n ten_o terrestrial_a 1._o limit_n and_o circumscription_n 2._o longitude_n of_o place_n and_o situation_n 3._o figure_n 4._o magnitude_n 5._o mountain_n the_o appellation_n situation_n and_o altitude_n their_o property_n and_o thing_n contain_v in_o they_o 6._o mine_n 7._o wood_n and_o desert_n 8._o water_n the_o sea_n lakes_n marsh_n river_n their_o spring_n inlet_n tract_n and_o latitude_n the_o quantity_n of_o water_n the_o celerity_n the_o quantity_n the_o cataract_n 9_o fertility_n sterility_n and_o fruit_n 10._o the_o animal_n eight_o celestial_a 1._o the_o distance_n of_o place_n from_o the_o aequator_fw-la and_o pole_n 2._o the_o obliquity_n of_o motion_n above_o the_o horizon_n 3._o the_o quantity_n of_o day_n 4._o the_o clime_n and_o zone_n 5._o the_o heat_n the_o season_n of_o the_o year_n the_o wind_n rain_n and_o other_o meteor_n 6._o the_o rise_n and_o stay_v of_o the_o star_n above_o the_o horizon_n 7._o the_o star_n pass_v through_o the_o vertex_fw-la of_o the_o place_n 8._o the_o celerity_n or_o quantity_n of_o their_o motion_n according_a to_o the_o hypothesis_n of_o copernicus_n ten_o human_a thing_n 1._o the_o stature_n life_n meat_n and_o drink_n and_o the_o original_a of_o the_o inhabitant_n 2._o the_o income_n art_n merchandise_n or_o traffic_n 3._o virtue_n and_o vice_n the_o genius_n and_o erudition_n 4._o
aforesaid_a snellius_n make_v a_o hollandish_a mile_n to_o consist_v of_o 1500_o rhindlandish_a perch_n every_o perch_n be_v twelve_o foot_n long_o or_o to_o consist_v of_o 18000_o rhindlandish_a foot_n foot_n measure_n which_o arise_v from_o the_o division_n of_o a_o foot_n and_o these_o two_o measure_n to_o wit_n the_o perch_n and_o mile_n arise_v from_o the_o multiplication_n and_o aggregation_n of_o foot_n but_o the_o measure_n that_o arise_v from_o the_o division_n of_o a_o foot_n be_v a_o digit_fw-la or_o finger_n a_o palm_n or_o hand_n breadth_n and_o a_o grain_n a_o digit_fw-la be_v the_o twelve_o part_n of_o a_o foot_n a_o palm_n contain_v four_o digit_n and_o a_o grain_n be_v the_o four_o part_n of_o a_o digit_fw-la but_o these_o be_v seldom_o use_v it_o be_v better_a to_o divide_v a_o foot_n into_o ten_o digit_n and_o then_o a_o digit_fw-la into_o ten_o grain_n and_o these_o measure_n be_v sufficient_a for_o the_o use_n of_o geography_n but_o there_o be_v other_o measure_n hereunto_o to_o be_v add_v which_o i_o have_v note_v in_o the_o scheme_n to_o wit_n those_o of_o the_o ancient_n as_o egyptian_n greek_n roman_n persian_n etc._n etc._n also_o thosr_n of_o late_a time_n as_o of_o the_o turk_n polander_n german_n moscovian_o italian_n spaniard_n french_a english_a etc._n etc._n the_o grecian_a stadium_n or_o furlong_n be_v judge_v to_o be_v 600_o greek_a foot_n which_o make_v 625_o roman_n or_o rhindlandinsh_fw-mi foot_n a_o german_a mile_n of_o which_o geographer_n allow_v fifteen_o to_o one_o degree_n contain_v 14000_o â—_o 19_o foot_n it_o be_v esteem_v to_o be_v 4000_o pace_n that_o be_v 32_o stadia_n or_o furlong_n it_o be_v proportion_n to_o the_o rhindlandish_a mile_n be_v as_o 15_o to_o 19_o the_o italian_a or_o roman_a mile_n be_v a_o thousand_o pace_n or_o eight_o stadium_n a_o geometrical_a pace_n contain_v five_o foot_n a_o fathom_n be_v six_o foot_n which_o be_v report_v by_o some_o to_o have_v be_v the_o grecian_a pace_n a_o cubit_n be_v a_o foot_n and_o a_o half_a parasange_n that_o be_v the_o persian_a mile_n be_v esteem_v to_o have_v contain_v 30_o stadium_n but_o it_o contain_v 3000_o persian_a pace_n schaenus_n the_o egyptian_a measure_n contain_v according_a to_o herodotus_n sixty_o stadium_n and_o according_a to_o pliny_n forty_o but_o peradventure_o the_o size_n thereof_o be_v divers_a according_a to_o the_o different_a place_n wherein_o it_o be_v use_v also_o either_o herodotus_n stadium_n differ_v from_o plinys_n or_o else_o their_o book_n be_v faulty_a the_o french_a league_n hold_v proportion_n to_o the_o rhindlandlish_n mile_n as_o 25_o to_o 19_o or_o else_o as_o 60_o to_o 19_o the_o spanish_a league_n hold_v proportion_n to_o the_o rhindlandish_a mile_n as_o 17_o ½_n to_o 19_o but_o because_o in_o divers_a place_n both_o of_o france_n and_o spain_n a_o different_a greatness_n of_o a_o league_n be_v observe_v therefore_o these_o thing_n be_v not_o altogether_o certain_a the_o english_a mile_n hold_v proportion_n to_o the_o rhindlandish_a mile_n as_o 55_o to_o 19_o or_o else_o as_o 16_o to_o 19_o but_o the_o english_a have_v three_o sort_n of_o miles_n to_o wit_n the_o great_a of_o which_o 27_o ½_n be_v equal_a to_o a_o degree_n the_o mean_a of_o which_o 50_o make_v a_o degree_n and_o the_o least_o of_o which_o 60_o or_o 55_o mile_n make_v a_o degree_n the_o danish_a or_o swedish_n miles_n hold_v proportion_n to_o the_o rhindlandish_a mile_n as_o 10_o to_o 19_o but_o in_o some_o place_n the_o dane_n and_o swede_n use_v the_o geâ—man_n mile_n the_o russian_a mile_n hold_v proportion_n with_o the_o rhindlandish_a mile_n as_o 80_o to_o 19_o the_o turkish_a mile_n or_o league_n be_v think_v to_o be_v equal_a with_o the_o italian_a mile_n insomuch_o that_o 60_o of_o they_o make_v a_o degree_n the_o arabian_a league_n former_o be_v the_o twenty_o part_n of_o a_o degree_n so_o that_o twenty_o five_o arabian_a league_n do_v equalise_v one_o degree_n or_o nineteeâ—â—_n hollandish_a miles_n but_o yet_o the_o arabian_n do_v also_o use_v another_o measure_n fifty_o five_o of_o which_o say_v to_o be_v a_o degree_n a_o hundred_o indian_a mile_n be_v judge_v to_o be_v equal_a to_o a_o degree_n although_o the_o indian_n common_o describe_v their_o distance_n by_o the_o journey_n of_o day_n and_o hour_n the_o inhabitant_n of_o the_o kingdom_n of_o cambain_n and_o guzâ—â—ratta_n use_v a_o certain_a measure_n which_o they_o call_v cosa_n thirty_o of_o which_o make_v a_o degree_n those_o of_o the_o country_n sinae_n or_o china_n observe_v three_o journey-measure_n which_o they_o call_v li_n pu_o and_o vchan_n li_n be_v the_o space_n from_o whence_o the_o voice_n of_o a_o man_n cry_v aloud_o may_v be_v hear_v in_o a_o plain_a and_o in_o a_o calm_a air_n which_o be_v think_v to_o be_v three_o hundred_o geometrical_a pace_n pu_o contain_v li_z ten_o time_n so_o that_o twenty_o pu_n make_v a_o degree_n and_o ten_o pu_n make_v a_o vchan_n which_o they_o determine_v one_o day_n journey_n which_o be_v 30000_o pace_n the_o square_a rhinlandish_a mile_n consist_v of_o square_a foot_n the_o cubick_a rhindlandish_a mile_n consist_v of_o cubick_a foot_n but_o the_o account_n of_o a_o square_a rhinlandish_a mile_n arise_v from_o multiply_v the_o same_o mile_n into_o itself_o and_o the_o cubick_a mile_n be_v complete_a if_o the_o square_a mile_n be_v multiply_v by_o a_o simple_a mile_n the_o same_o be_v to_o be_v understand_v as_o touch_v square_a and_o cubick_a foot_n of_o absolute_a geography_n sect_n ii_o contain_v the_o general_n and_o absolute_a property_n of_o the_o whole_a earth_n in_o five_o chapter_n chap._n iii_o concern_v the_o figure_n of_o the_o earth_n earth_n thing_n to_o be_v observe_v concern_v the_o figure_n of_o the_o earth_n figure_n be_v first_o the_o principal_a of_o all_o property_n of_o the_o earth_n not_o only_o in_o nobleness_n but_o also_o excel_v the_o rest_n in_o the_o profit_n and_o necessity_n thereof_o forasmuch_o as_o without_o it_o nothing_o can_v be_v full_o and_o solid_o demonstrate_v or_o know_v in_o geography_n and_o all_o thing_n therein_o follow_v do_v in_o a_o manner_n depend_v and_o proceed_v from_o she_o alone_o in_o the_o first_o place_n therefore_o it_o be_v manifest_a that_o our_o discourse_n be_v to_o be_v begin_v at_o she_o but_o there_o have_v be_v divers_a opinion_n concern_v the_o figure_n of_o the_o earth_n for_o indeed_o the_o vulgar_a sort_n that_o be_v man_n endue_v with_o no_o knowledge_n in_o geography_n do_v think_v that_o the_o earth_n extend_v itself_o in_o a_o vast_a and_o broad_a plain_n who_o boundary_a be_v a_o circular_a line_n but_o that_o the_o hill_n and_o valley_n meet_v and_o stop_v it_o lactantius_n and_o other_o father_n be_v of_o this_o opinion_n earth_n lactantius_n his_o opinion_n of_o the_o earth_n who_o earnest_o defend_v and_o maintain_v the_o earth_n to_o be_v extend_v downward_o with_o infinite_a root_n and_o in_o that_o manner_n to_o have_v its_o foundation_n this_o they_o think_v be_v move_v thereto_o by_o certain_a place_n of_o holy_a scripture_n earth_n see_v lactantius_n in_o his_o 3d_o book_n chap._n 24._o and_o augustine_n in_o his_o 16_o book_n de_fw-fr civit._fw-la dei_fw-la chap._n 9_o the_o opinion_n of_o francis_n patric_n anaximander_n leucippus_n and_o other_o concern_v the_o earth_n either_o misinterpret_v or_o wrong_v understand_v this_o opinion_n be_v attribute_v to_o the_o ancient_a philosopher_n heraclitus_n although_o some_o man_n write_v that_o he_o attribute_v to_o the_o earth_n the_o shape_n of_o a_o boat_n or_o make_v hollow_a in_o the_o bottom_n furthermore_o of_o these_o of_o latter_a day_n francis_n patric_n no_o base_a philosopher_n do_v stiff_o maintain_v that_o the_o earth_n be_v extend_v on_o a_o plain_a foot_n peucer_n write_v that_o anaximander_n judge_v the_o form_n of_o the_o earth_n to_o be_v like_o a_o rowling-pin_n but_o that_o be_v not_o likely_a see_v that_o he_o both_o assay_v the_o dimension_n or_o measure_v the_o earth_n and_o be_v skilful_a enough_o in_o astronomy_n according_a to_o the_o manner_n of_o that_o age_n forasmuch_o as_o he_o at_o lacedaemon_n sit_v up_o and_o make_v heliotrope_n or_o sun-dial_n in_o which_o the_o top_n of_o the_o finger_n or_o stile_n of_o the_o dial_n with_o its_o shadow_n do_v mark_v out_o and_o show_v the_o day_n of_o the_o equinox_n and_o solstice_n 13._o see_v aristotle_n in_o his_o second_o book_n de_fw-fr coelo_fw-la ch_n 13._o leucippus_n be_v record_v to_o have_v think_v the_o earth_n to_o be_v shape_v in_o the_o form_n of_o a_o drum_n and_o there_o be_v other_o man_n which_o dare_v ascribe_v i_o know_v not_o what_o fond_a opinion_n to_o the_o ancient_a philosopher_n but_o the_o true_a opinion_n maintain_v by_o almost_o all_o philosopher_n that_o be_v mathematician_n be_v that_o the_o earth_n be_v round_o like_o a_o globe_n or_o sphere_n but_o the_o argument_n which_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 house_n and_o therefore_o no_o fountain_n of_o fresh_a water_n be_v find_v in_o that_o isle_n and_o none_o can_v be_v ignorant_a how_o that_o many_o mine_n of_o salt_n be_v find_v on_o the_o land_n and_o we_o have_v relate_v concern_v some_o in_o the_o eleven_o chapter_n but_o we_o need_v not_o particular_n let_v we_o consider_v the_o whole_a earth_n it_o the_o great_a part_n of_o the_o earth_n have_v much_o salt_n in_o it_o the_o great_a part_n of_o which_o be_v nothing_o else_o but_o a_o salt_n for_o it_o have_v its_o consistency_n from_o salt_n for_o the_o chemical_a philosopher_n do_v right_o prove_v that_o the_o consistency_n and_o compaction_n of_o every_o thing_n proceed_v from_o salt_n and_o experience_n be_v answerable_a to_o the_o assertion_n for_o if_o that_o you_o take_v a_o hard_a piece_n of_o earth_n and_o burn_v it_o to_o ash_n much_o salt_n will_v be_v find_v in_o it_o nothing_o can_v be_v allege_v against_o this_o opinion_n that_o be_v of_o any_o value_n and_o be_v 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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 salt_n because_o that_o it_o be_v impregnate_v with_o a_o great_a quantity_n of_o salt_n so_o the_o isle_n of_o ormus_n consist_v all_o of_o salt_n therefore_o the_o adjacent_a ocean_n have_v very_a salt_n water_n but_o whether_o there_o be_v great_a plenty_n of_o salt_n in_o the_o channel_n and_o shore_n of_o the_o ocean_n in_o the_o torrid_a zone_n or_o more_o saline_a mine_n than_o in_o the_o north_n be_v very_o doubtful_a by_o reason_n of_o the_o want_n of_o observation_n yet_o it_o seem_v probable_a unto_o some_o that_o there_o be_v great_a quantity_n of_o salt_n in_o those_o place_n by_o reason_n of_o the_o great_a heat_n of_o the_o sun_n by_o which_o the_o part_n of_o the_o water_n be_v separate_v from_o the_o terrestrial_a and_o
air_n f_o h_n be_v rarify_v now_o require_v more_o space_n now_o you_o will_v find_v the_o degree_n of_o accretion_n and_o diminution_n of_o the_o heat_n and_o cold_a if_o that_o you_o divide_v the_o line_n f_o a_o on_o the_o table_n into_o certain_a part_n of_o number_n or_o without_o put_v a_o vessel_n under_o set_v the_o glass_n l_o h_n even_o at_o the_o extremity_n l_o have_v a_o globe_n with_o a_o little_a hole_n from_o the_o side_n and_o let_v this_o globular_a vessel_n be_v fill_v with_o air_n for_o so_o also_o the_o degree_n of_o heat_n will_v be_v show_v by_o the_o ascent_n and_o descent_n of_o the_o water_n proposition_n x._o the_o serene_a air_n may_v be_v carry_v so_o by_o a_o most_o vehement_a fire_n that_o it_o may_v occupy_v a_o space_n 70_o time_n great_a than_o it_o do_v before_o on_o the_o contrary_a it_o may_v be_v so_o condense_v in_o a_o windgun_n that_o it_o may_v only_o possess_v a_o 60_o part_n of_o the_o former_a space_n but_o the_o heat_n of_o the_o sun_n bring_v not_o so_o great_a a_o rarification_n or_o the_o cold_a so_o great_a a_o condensation_n to_o the_o air_n the_o same_o be_v prove_v from_o that_o that_o if_o you_o take_v a_o aeolopile_n and_o heat_n it_o with_o fire_n so_o that_o it_o may_v then_o contain_v 13_o ounce_n but_o the_o same_o be_v cold_a and_o return_v to_o its_o former_a natural_a estate_n it_o will_v contain_v 13_o ounce_n a_o dram_n and_o a_o half_a therefore_o the_o space_n that_o the_o air_n occupy_v whilst_o that_o it_o be_v hot_a be_v great_a than_o the_o space_n that_o the_o air_n possess_v when_o refrigerated_a that_o the_o difference_n of_o the_o space_n be_v that_o part_n of_o the_o aeolopile_n that_o receive_v half_o a_o dram_n of_o water_n if_o that_o the_o whole_a receive_v 13_o ounce_n with_o half_a a_o dram_n and_o the_o part_n of_o this_o aeolopile_n be_v almost_o the_o 70_o part_n of_o the_o whole_a space_n in_o the_o aeolopile_n therefore_o the_o air_n be_v hot_a have_v possess_v a_o space_n 70_o time_n great_a than_o it_o do_v when_o it_o return_v to_o its_o natural_a estate_n proposition_n xi_o why_o in_o the_o place_n in_o the_o frigid_a zone_n at_o the_o time_n in_o which_o the_o sun_n arise_v not_o altogether_o unto_o they_o on_o some_o day_n the_o air_n be_v clear_a and_o serene_a and_o for_o the_o most_o part_n cloudy_a and_o foggy_a zone_n of_o the_o air_n in_o place_n of_o the_o frigid_a zone_n i_o answer_v the_o cause_n of_o this_o gross_a and_o almost_o perpetual_a mist_n or_o fog_n be_v the_o small_a heat_n of_o the_o subterraneous_a earth_n itself_o or_o else_o it_o be_v derive_v from_o the_o sun_n and_o likewise_o the_o moon_n which_o in_o the_o time_n of_o the_o obscurity_n of_o the_o sun_n remain_v many_o day_n and_o night_n continual_o above_o the_o horizon_n &_o the_o other_o star_n which_o heat_n because_o it_o be_v weak_a can_v dissipate_v this_o mist_n now_o that_o some_o day_n or_o night_n afford_v a_o serenity_n of_o the_o air_n this_o happen_v not_o because_o the_o thick_a vapour_n be_v attenuate_v but_o because_o that_o they_o either_o sink_v down_o into_o the_o earth_n or_o else_o be_v force_v into_o other_o place_n by_o the_o wind_n proposition_n xii_o why_o oftentimes_o in_o the_o great_a cold_a of_o the_o winter_n the_o air_n be_v yet_o subtle_a and_o serene_a when_o that_o yet_o the_o cold_a condensate_v and_o contract_v the_o air_n winter_n the_o air_n subtle_a and_o serene_a in_o the_o great_a cold_a of_o the_o winter_n cold_n be_v twofold_a moderate_a or_o extreme_a moderate_a cold_a render_v not_o the_o air_n serene_a but_o cloudy_a by_o reason_n that_o vapour_n be_v elevate_v but_o not_o discuss_v by_o that_o little_a heat_n which_o be_v mix_v or_o adjoin_v to_o that_o cold_a but_o a_o extreme_a cold_a make_v the_o air_n serene_a for_o a_o twofold_a reason_n 1._o because_o it_o render_v the_o grosser_n vapour_n of_o the_o air_n more_o gross_a and_o so_o cause_v they_o to_o fall_v and_o make_v the_o air_n more_o subtle_a 2._o because_o that_o the_o pore_n of_o the_o earth_n be_v shut_v and_o bind_v up_o and_o the_o vapour_n themselves_o can_v exhale_v and_o render_v the_o air_n turbid_v the_o sea_n itself_o indeed_o be_v not_o bind_v up_o with_o ice_n yet_o the_o particle_n be_v so_o condensated_a with_o ice_n that_o it_o be_v not_o so_o apt_a for_o exhalation_n although_o it_o send_v forth_o many_o for_o the_o condition_n of_o it_o and_o the_o earth_n be_v different_a proposition_n xiii_o why_o the_o air_n be_v behold_v at_o the_o horizontal_n line_n appear_v more_o thick_a and_o cloudy_a than_o that_o in_o which_o we_o be_v the_o cause_n be_v twofold_a 1._o because_o that_o the_o air_n about_o the_o horizon_n be_v indeed_o more_o cloudy_a the_o other_o be_v a_o fallacy_n or_o deception_n of_o the_o sight_n or_o judgement_n from_o our_o sight_n for_o the_o eye_n apprehend_v the_o distance_n of_o column_n place_v in_o a_o long_a order_n and_o series_n and_o therefore_o as_o the_o judgement_n suppose_v the_o remote_a column_n to_o be_v conjoin_v so_o also_o it_o apprehend_v not_o the_o distance_n of_o the_o particle_n of_o the_o horizontal_n air_n but_o imagine_v they_o conjoin_v but_o the_o eye_n behold_v the_o distance_n of_o the_o elevate_a air_n under_o great_a angle_n and_o therefore_o better_a apprehend_v it_o the_o same_o be_v the_o reason_n why_o the_o air_n which_o appear_v cloudy_a to_o we_o remove_v from_o it_o when_o we_o come_v to_o it_o or_o be_v in_o it_o seem_v less_o misty_a or_o cloudy_a proposition_n fourteen_o whether_o that_o the_o altitude_n of_o the_o atmosphere_n or_o air_n above_o the_o earth_n be_v the_o same_o in_o all_o place_n at_o one_o and_o the_o same_o time_n and_o whether_o its_o figure_n be_v spherical_a atmosphere_n of_o the_o altitude_n of_o the_o atmosphere_n that_o the_o altitude_n be_v not_o the_o same_o but_o divers_a in_o sundry_a place_n seem_v to_o follow_v from_o thence_o that_o the_o sun_n be_v only_o vertical_a to_o one_o place_n at_o one_o time_n and_o it_o send_v forth_o oblique_a ray_n and_o therefore_o more_o weak_a unto_o other_o place_n by_o how_o much_o the_o place_n be_v more_o remote_a from_o the_o sun_n and_o near_o to_o the_o pole_n therefore_o the_o pore_n of_o the_o ray_n of_o the_o sun_n be_v very_o different_a to_o the_o elevate_n of_o the_o vapour_n and_o therefore_o they_o be_v raise_v to_o different_a altitude_n to_o wit_n in_o a_o place_n unto_o which_o the_o sun_n be_v vertical_a his_o altitude_n be_v the_o great_a in_o the_o opposite_a place_n the_o lesser_a in_o the_o place_n about_o the_o pole_n moderate_a so_o that_o the_o air_n receive_v a_o oval_a figure_n but_o the_o contrary_n be_v more_o probable_a viz._n that_o the_o altitude_n of_o the_o atmosphere_n be_v the_o same_o in_o all_o place_n for_o although_o that_o the_o vapour_n and_o air_n be_v more_o elevate_v in_o some_o place_n than_o in_o other_o yet_o because_o that_o the_o air_n be_v fluid_a and_o tend_v by_o its_o gravity_n to_o the_o centre_n of_o the_o earth_n therefore_o the_o more_o elevate_a part_n of_o the_o air_n press_v down_o the_o air_n place_v under_o it_o and_o this_o thrust_v down_o another_o more_o depress_v until_o all_o the_o part_n acquire_v the_o same_o altitude_n and_o after_o the_o same_o mode_n the_o spherical_a figure_n of_o the_o air_n shall_v be_v demonstrate_v as_o in_o the_o thirteen_o chapter_n we_o have_v prove_v with_o archimedes_n concern_v the_o water_n by_o reason_n that_o the_o same_o hypothesis_n be_v prevalent_a here_o which_o we_o there_o assume_v to_o wit_n that_o the_o part_n of_o the_o air_n less_o press_v be_v expel_v by_o that_o which_o be_v more_o press_v for_o every_o part_n be_v press_v by_o the_o air_n that_o be_v above_o it_o wherefore_o the_o figure_n of_o the_o air_n be_v spherical_a not_o oval_a as_o some_o will_v have_v it_o but_o if_o the_o forementioned_a hypothesis_n be_v not_o grant_v the_o demonstration_n fall_v des_fw-mi cartes_n also_o make_v the_o air_n oval_n in_o figure_n for_o a_o peculiar_a reason_n see_v chapter_n fourteen_o proposition_n xv._o condensation_n or_o rarefaction_n of_o air_n change_v not_o its_o altitude_n altitude_n condensation_n of_o air_n change_v not_o its_o altitude_n because_o that_o the_o whole_a atmosphere_n be_v not_o condense_v but_o only_o some_o part_n and_o at_o all_o time_n some_o part_n be_v condense_v sometime_o these_o sometime_o those_o wherefore_o the_o condensation_n or_o rarefaction_n of_o one_o time_n do_v no_o more_o alterare_fw-la the_o air_n than_o the_o condensation_n or_o rarefaction_n of_o the_o first_o time_n there_o only_o seem_v to_o be_v a_o difference_n that_o at_o one_o time_n there_o may_v be_v a_o great_a condensation_n or_o rarefaction_n than_o at_o another_o but_o this_o
calculation_n and_o make_v a_o trial_n of_o the_o matter_n whether_o that_o the_o altitude_n be_v the_o same_o every_o where_o and_o at_o every_o time_n i_o will_v give_v they_o here_o example_n from_o the_o observation_n of_o tycho_n who_o have_v observe_v the_o refraction_n of_o the_o sun_n and_o moon_n at_o every_o degree_n of_o their_o altitude_n and_o because_o that_o the_o observation_n of_o lansbergius_n because_o that_o he_o observe_v they_o in_o a_o different_a air_n if_o that_o he_o observe_v they_o at_o all_o differ_v from_o those_o of_o tycho_n i_o will_v also_o add_v they_o the_o table_n of_o refraction_n the_o degree_n of_o altitude_n the_o refraction_n of_o the_o sun_n according_a to_o tycho_n the_o refraction_n of_o the_o moon_n according_a to_o tycho_n the_o refraction_n of_o the_o sun_n and_o moon_n according_a to_o lansbergius_n degree_n minute_n 1._o minute_n 1._o minute_n 1._o 1._o 0_o 34_o 33_o 34_o  _fw-fr 1_o 26_o 25_o 26_o  _fw-fr 2_o 20_o 20_o 21_o  _fw-fr 3_o 17_o 17_o 18_o  _fw-fr 4_o 15_o 15_o 15_o 45_o 5_o 14_o 14_o 14_o 0_o 6_o 13_o 14_o 12_o 30_o 7_o 12_o 13_o 11_o 15_o 8_o 11_o 12_o 10_o 5_o 9_o 10_o 11_o 9_o 5_o 10_o 10_o 11_o 8_o 15_o 11_o 9_o 10_o 7_o 35_o 12_o 9_o 10_o 7_o 5_o 13_o 8_o 9_o 6_o 40_o 14_o 8_o 8_o 6_o 19_o 15_o 7_o 8_o 6_o 0_o 16_o 7_o 7_o 5_o 42_o 17_o 6_o 7_o 5_o 24_o 18_o 6_o 6_o 5_o 7_o 19_o 5_o 6_o 4_o 50_o 20_o 4_o 5_o 4_o 33_o 21_o 4_o 4_o 4_o 16_o 22_o 3_o 3_o 4_o 0_o 23_o 3_o 3_o 3_o 44_o 24_o 3_o 3_o 3_o 28_o 25_o 2_o 2_o 3_o 12_o 26_o 2_o 2_o 2_o 56_o 27_o 2_o 2_o 2_o 40_o 28_o 2_o 2_o 2_o 24_o 29_o 2_o 2_o 2_o 9_o 30_o 1_o 1_o 1_o 54_o 31_o 1_o 1_o 1_o 39_o 32_o 1_o 1_o 1_o 24_o 33_o 1_o 1_o 1_o 9_o 34_o 1_o 1_o 0_o 55_o 35_o 1_o 1_o 0_o 41_o 36_o 1_o 1_o 0_o 27_o 37_o 0_o 1_o 0_o 13_o 38_o 0_o 1_o 0_o 0_o tycho_n the_o refraction_n of_o the_o sun_n and_o moon_n according_a to_o lansbergius_n and_o tycho_n lansbergius_n place_v both_o the_o same_o refraction_n of_o the_o sun_n and_o moon_n but_o tycho_n make_v they_o somewhat_o divers_a viz._n about_o the_o horizon_n he_o make_v the_o refraction_n of_o the_o sun_n great_a than_o those_o of_o the_o moon_n then_o the_o five_o degree_n of_o altitude_n he_o make_v they_o equal_a from_o this_o then_o at_o length_n he_o make_v the_o refraction_n of_o the_o moon_n a_o little_o big_a than_o those_o of_o the_o sun_n indeed_o i_o confess_v myself_o ignorant_a of_o the_o cause_n of_o this_o except_o it_o be_v to_o be_v ascribe_v to_o the_o weakness_n of_o the_o light_n of_o the_o moon_n moreover_o tycho_n omit_v the_o second_o minute_n which_o yet_o shall_v not_o be_v omit_v if_o that_o they_o come_v near_o to_o 60_o because_o that_o there_o be_v use_v of_o they_o in_o the_o calculation_n of_o the_o altitude_n of_o the_o air._n now_o you_o must_v know_v that_o the_o refraction_n of_o all_o the_o star_n be_v the_o same_o or_o else_o that_o the_o difference_n be_v insensible_a viz._n in_o one_o air_n but_o if_o that_o the_o air_n be_v thick_a the_o refraction_n will_v be_v great_a a_o example_n of_o it_o be_v this_o whereof_o a_o cause_n have_v not_o yet_o be_v render_v sufficient_o hitherto_o by_o any_o the_o dutch_a winter_v in_o nova_n zembla_n behold_v the_o sun_n after_o the_o night_n of_o some_o month_n when_o that_o as_o yet_o the_o limbus_n or_o edge_n of_o the_o sun_n be_v yet_o beneath_o the_o horizon_n four_o degree_n at_o least_o therefore_o the_o refraction_n n_o f_o l_o be_v 4_o deg_fw-la 30_o min._n then_o at_o length_n when_o that_o it_o be_v depress_v beneath_o the_o horizon_n 3_o degree_n 40_o minute_n they_o see_v he_o elevate_v above_o the_o horizon_n 30_o degree_n viz._n his_o upper_a limbus_n therefore_o the_o refraction_n m_o r_o l_o we_o conceive_v m_z r_o s_o to_o fall_n beneath_o the_o horizon_n and_o r_o l_o g_o to_n be_v 30_o min._n shall_v be_v 4_o deg_fw-la 11_o min._n and_o l_o l_o t_o 90_o deg_fw-la 30_o min._n from_o hence_o shall_v be_v find_v the_o altitude_n of_o the_o air_n l_o f_o and_o the_o reason_n of_o the_o density_n of_o that_o air_n at_o nova_n zembla_n which_o yet_o be_v serene_a at_o the_o time_n of_o the_o observation_n now_o the_o altitude_n be_v find_v much_o great_a than_o the_o other_o refraction_n admit_v of_o viz._n of_o almost_o two_o mile_n neither_o be_v it_o correct_v by_o the_o position_n of_o a_o great_a thickness_n of_o air_n as_o shall_v be_v show_v in_o the_o follow_a proposition_n by_o reason_n that_o the_o angle_n t_o f_o l_o can_v be_v great_a than_o 85_o deg_fw-la 30_o min._n if_o that_o n_o f_o l_o be_v 4_o deg_fw-la 30_o min._n it_o become_v great_a if_o that_o d_o f_o be_v place_v less_o than_o 2_o mile_n therefore_o we_o do_v not_o undeserved_o doubt_v of_o the_o truth_n of_o the_o observation_n of_o the_o mariner_n see_v that_o no_o like_a example_n have_v be_v observe_v yea_o the_o contrary_n have_v be_v observe_v in_o the_o same_o place_n vit_v see_v chap._n 26._o proposit_n vit_v moreover_o no_o reason_n can_v be_v render_v that_o in_o those_o place_n after_o so_o long_a a_o absence_n of_o the_o sun_n the_o air_n shall_v be_v high_o than_o at_o the_o time_n wherein_o after_o so_o long_a a_o stay_v the_o sun_n depart_v see_v that_o rather_o the_o contrary_n do_v follow_v viz._n the_o air_n become_v more_o thick_a and_o low_a by_o reason_n of_o contraction_n if_o that_o any_o one_o will_v urge_v the_o altitude_n of_o the_o air_n to_o be_v inconstant_a yet_o when_o i_o more_o accurate_o weigh_v all_o the_o matter_n three_o thing_n fall_v in_o with_o i_o by_o which_o that_o apparancy_n and_o great_a refraction_n may_v be_v salve_v for_o see_v that_o the_o master_n or_o pilot_n be_v skilful_a in_o astronomy_n and_o also_o that_o they_o see_v the_o sun_n elevate_v above_o the_o horizon_n in_o which_o he_o be_v yet_o depress_v therefore_o we_o ought_v not_o to_o deny_v the_o observation_n neither_o ought_v we_o to_o be_v suspicious_a concern_v a_o error_n in_o the_o numeration_n of_o the_o day_n by_o reason_n of_o that_o long_a night_n for_o when_o that_o they_o return_v to_o their_o own_o country_n they_o reckon_v the_o same_o day_n of_o the_o year_n that_o their_o countryman_n reckon_v which_o they_o can_v not_o have_v do_v if_o that_o before_o they_o have_v make_v a_o false_a reckon_n of_o the_o day_n for_o if_o that_o we_o will_v admit_v so_o great_a a_o altitude_n of_o the_o air_n such_o as_o the_o refraction_n of_o the_o temperate_a and_o torrid_a zone_n do_v not_o admit_v of_o we_o must_v say_v that_o the_o air_n be_v every_o where_o the_o same_o both_o in_o the_o torrid_a and_o temperate_a zone_n as_o it_o be_v in_o the_o frigid_a but_o the_o supreme_a region_n of_o the_o air_n both_o in_o the_o torrid_a and_o temperate_a zone_n be_v so_o subtle_a that_o it_o make_v no_o refraction_n but_o only_o the_o middle_a region_n whence_o it_o be_v no_o wonder_n if_o that_o the_o refraction_n in_o the_o torrid_a and_o temperate_a zone_n be_v lesser_a for_o although_o the_o air_n be_v low_a that_o cause_v they_o for_o which_o cause_n the_o refraction_n ought_v to_o be_v great_a yet_o it_o be_v far_o more_o rare_a than_o the_o other_o air._n but_o yet_o a_o objection_n may_v be_v make_v against_o this_o viz._n that_o the_o observation_n of_o the_o mariner_n be_v make_v in_o a_o serene_a air_n as_o they_o themselves_o testify_v unto_o this_o i_o answer_v that_o yet_o it_o seem_v not_o so_o probable_a that_o the_o air_n shall_v be_v so_o subtle_a as_o in_o the_o torrid_a and_o temperate_a zone_n when_o that_o the_o sky_n be_v most_o serene_a second_o it_o may_v be_v say_v that_o that_o air_n of_o the_o frigid_a zone_n when_o that_o the_o sun_n after_o a_o long_a absence_n return_v unto_o it_o be_v first_o attenuate_v in_o the_o superior_a region_n and_o the_o middle_n be_v yet_o somewhat_o more_o thick_a and_o therefore_o the_o sun_n be_v see_v through_o two_o refraction_n as_o the_o star_n through_o the_o air_n and_o a_o glass_n now_o a_o double_a refraction_n do_v far_o more_o depress_v the_o star_n beneath_o the_o horizon_n than_o a_o simple_a and_o so_o the_o altitude_n of_o the_o air_n the_o space_n of_o one_o mile_n or_o ¾_n neither_o may_v you_o here_o object_n why_o the_o same_o do_v not_o happen_v at_o that_o time_n when_o that_o the_o sun_n depart_v from_o the_o air_n and_o make_v the_o beginning_n of_o the_o â—ong_a night_n for_o than_o it_o be_v probable_a that_o there_o be_v less_o difference_n in_o the_o thickness_n of_o the_o air_n by_o reason_n of_o the_o long_a
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
contain_v all_o the_o place_n who_o latitude_n be_v the_o same_o with_o the_o place_n give_v in_o map_n of_o strait_a line_n let_v a_o strait_a line_n be_v draw_v through_o the_o place_n give_v parallel_n to_o the_o aequator_fw-la all_o the_o place_n through_o which_o that_o line_n pass_v shall_v have_v the_o same_o latitude_n with_o the_o place_n give_v in_o map_n of_o crooked_a line_n let_v the_o periphery_n be_v describe_v pass_v the_o place_n give_v from_o the_o pole_n of_o the_o map_n as_o from_o a_o centre_n so_o by_o the_o same_o mean_n as_o before_o the_o place_n seek_v for_o shall_v be_v find_v but_o if_o no_o certain_a place_n but_o a_o latitude_n be_v give_v let_v one_o fool_n of_o the_o compass_n be_v place_v in_o the_o pole_n of_o the_o map_n and_o the_o other_o on_o the_o side_n line_n to_o the_o degree_n of_o latitude_n and_o then_o the_o parallel_n shall_v be_v describe_v proposition_n vii_o to_o find_v the_o meridian_n or_o the_o plaga_fw-la and_o point_n of_o the_o north_n and_o south_n in_o the_o give_v place_n of_o the_o earth_n or_o in_o the_o give_v plane_n there_o be_v divers_a way_n by_o which_o the_o line_n fight_v for_o may_v be_v find_v meridian_n rule_n for_o the_o find_v the_o meridian_n first_o the_o most_o easy_a mode_n be_v that_o which_o make_v use_v of_o the_o magnetical_a needle_n for_o see_v that_o the_o magnetical_a needle_n or_o needle_n of_o the_o compass_n with_o one_o extreme_a look_v to_o the_o south_n and_o the_o other_o to_o the_o north_n the_o extension_n of_o it_o will_v show_v the_o meridian_n line_n but_o because_o in_o very_a few_o place_n it_o have_v respect_n to_o the_o northern_a and_o southern_a point_n or_o clime_n and_o in_o very_a many_o decline_v from_o they_o as_o we_o shall_v show_v elsewhere_o 38th_o see_v in_o chapter_n the_o 38th_o therefore_o the_o meridian_n line_n be_v not_o accurate_o find_v by_o that_o but_o only_o a_o adjoin_a line_n which_o although_o it_o may_v serve_v when_o the_o matter_n be_v not_o much_o material_a for_o which_o we_o desire_v it_o yet_o in_o concernment_n of_o great_a moment_n it_o may_v be_v the_o cause_n of_o a_o great_a error_n first_o draw_v the_o line_n which_o the_o magnetical_a needle_n show_v then_o take_v any_o point_n in_o this_o line_n 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 in_o the_o which_o let_v the_o degree_n of_o the_o declination_n of_o the_o needle_n be_v number_v begin_v from_o the_o false_a draw_v meridian_n line_n and_o that_o towards_o the_o east_n if_o the_o give_v declination_n be_v towards_o the_o west_n and_o contrariwise_o towards_o the_o west_n if_o the_o give_v declination_n be_v towards_o the_o east_n last_o let_v a_o straight_a line_n be_v draw_v through_o the_o term_n of_o the_o numeration_n of_o the_o centre_n of_o the_o periphery_a this_o shall_v be_v the_o true_a meridian_n line_n useful_a the_o mariner_n compass_n useful_a there_o be_v no_o need_n of_o this_o labour_n if_o that_o you_o have_v the_o mariner_n compass_n at_o hand_n in_o the_o which_o the_o declination_n of_o the_o magnetic_a needle_n be_v correct_v to_o the_o place_n propose_v second_o the_o meridian_n line_n be_v more_o accurate_o find_v out_o by_o the_o benefit_n of_o the_o star_n staâ—â—_n the_o meridian_n line_n find_v by_o the_o staâ—â—_n first_o when_o the_o sun_n shine_v a_o style_n or_o pin_n be_v erect_v the_o shadow_n of_o it_o will_v show_v the_o meridian_n line_n but_o by_o reason_n that_o it_o be_v not_o safe_a to_o conside_fw-la in_o dial_n therefore_o this_o mode_n be_v not_o altogether_o accurate_a and_o it_o show_v a_o true_a line_n yet_o a_o little_a distance_n from_o the_o true_a three_o a_o periphery_a be_v draw_v in_o a_o plain_a give_v let_v a_o style_n or_o pin_n be_v erect_v from_o the_o centre_n of_o the_o same_o and_o let_v the_o term_n of_o the_o shadow_n before_o the_o meridies_n be_v note_v or_o first_o the_o extremity_n of_o the_o shadow_n be_v note_v let_v the_o periphery_a or_o circumserence_n be_v describe_v by_o the_o extremity_n of_o the_o shadow_n from_o the_o place_n of_o the_o style_n then_o you_o must_v expect_v so_o long_o after_o the_o meridies_n until_o the_o extremity_n of_o the_o shadow_n touch_v the_o same_o periphery_a out_o the_o latitude_n be_v know_v the_o meridian_n line_n by_o the_o help_n of_o the_o globe_n may_v be_v sound_a out_o four_o if_o that_o the_o elevation_n of_o the_o pole_n or_o latitude_n in_o the_o place_n of_o the_o observation_n be_v know_v we_o may_v be_v the_o benefit_n of_o the_o globe_n find_v out_o the_o meridian_n line_n by_o this_o mean_n first_o by_o observation_n let_v the_o altitude_n of_o the_o sun_n above_o the_o horizon_n be_v find_v out_o then_o let_v a_o strait_a line_n be_v draw_v on_o a_o plain_a in_o which_o the_o sun_n than_o seem_v to_o be_v and_o a_o point_n be_v take_v as_o a_o centre_n in_o this_o line_n whatsoever_o it_o be_v the_o periphery_n be_v describe_v then_o let_v the_o pole_n be_v elevate_v in_o the_o globe_n according_a to_o the_o elevation_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 for_o the_o day_n give_v be_v note_v let_v the_o quadrant_n be_v apply_v to_o the_o vertex_fw-la and_o in_o that_o let_v the_o observe_v altitude_n of_o the_o sun_n be_v mark_v then_o let_v the_o globe_n and_o the_o quadrant_n be_v move_v together_o until_o the_o point_n of_o the_o quadrant_n and_o the_o note_a place_n of_o the_o sun_n do_v meet_v the_o globe_n thus_o remain_v let_v the_o intercept_a degree_n between_o the_o meredian_n and_o the_o quadrant_n of_o the_o verrical_a point_n be_v number_v in_o the_o wooden_a horizon_n let_v so_o may_v degree_n be_v cut_v off_o in_o the_o periphery_n before_o describe_v begin_v from_o the_o line_n of_o the_o plaga_fw-la of_o the_o sun_n towards_o the_o east_n or_o west_n as_o the_o time_n of_o the_o observation_n shall_v be_v and_o let_v a_o right_a line_n be_v draw_v through_o the_o term_n or_o bind_v of_o the_o resection_n and_o centre_n of_o the_o circle_n this_o shall_v be_v the_o true_a meridian_n line_n the_o invention_n will_v be_v far_o more_o easy_a and_o without_o the_o use_n of_o the_o vertical_a quadrant_n if_o the_o plaga_fw-la be_v observe_v or_o a_o line_n draw_v in_o the_o plain_a in_o which_o the_o sun_n either_o rise_v or_o set_v be_v behold_v for_o then_o a_o circle_n be_v again_o describe_v let_v the_o place_n of_o the_o sun_n be_v bring_v to_o the_o horizon_n and_o let_v the_o intercept_a degree_n between_o the_o place_n of_o the_o sun_n and_o the_o north_n or_o south_n be_v number_v let_v so_o many_o degree_n be_v cut_v off_o in_o the_o periphery_a describe_v from_o the_o line_n draw_v and_o let_v a_o right_a line_n be_v draw_v through_o the_o term_n or_o bind_v of_o the_o resection_n and_o centre_n this_o shall_v be_v the_o true_a meridian_n line_n proposition_n viii_o to_o place_v a_o globe_n so_o that_o the_o cardines_fw-la of_o the_o same_o may_v respect_v the_o cardines_fw-la of_o the_o earth_n that_o be_v that_o the_o brazen_a meridian_n may_v be_v seat_v in_o the_o true_a meridian_n of_o the_o place_n globe_n of_o the_o place_n the_o globe_n let_v the_o meridian_n line_n be_v find_v in_o that_o plain_a on_o which_o the_o globe_n stand_v and_o let_v the_o globe_n be_v so_o place_v that_o the_o brazen_a meridian_n may_v exact_o hang_v over_o the_o meridian_n line_n so_o the_o globe_n shall_v be_v fix_v according_a to_o the_o plagas_fw-la or_o climate_n of_o the_o world_n or_o let_v the_o mariner_n compass_n be_v place_v at_o the_o foot_n of_o the_o globe_n and_o let_v the_o globe_n with_o its_o foot_n so_o long_o be_v move_v in_o the_o plain_a until_o the_o brazen_a meridian_n and_o the_o meridian_n line_n of_o the_o compass_n be_v find_v to_o be_v in_o the_o same_o plain_a so_o the_o globe_n shall_v be_v again_o constitute_v according_a to_o the_o plaga_fw-la or_o climate_n of_o the_o earth_n that_o be_v so_o that_o the_o north_n part_n of_o the_o globe_n shall_v have_v respect_n to_o the_o north_n part_n of_o the_o earth_n the_o south_n to_o the_o south_n east_n to_o the_o east_n and_o west_n to_o west_n a_o problem_n may_v be_v propound_v concern_v geographical_a map_n and_o the_o use_n be_v also_o in_o the_o art_n of_o navigation_n viz._n so_o to_o place_v they_o on_o a_o plain_a that_o the_o northern_a place_n of_o they_o may_v look_v towards_o the_o north_n of_o the_o earth_n the_o southern_a to_o the_o south_n and_o the_o like_a the_o solution_n be_v easy_a if_o that_o a_o meridian_n line_n may_v be_v find_v in_o that_o plain_a or_o if_o you_o have_v a_o accurate_a mariner_n compass_n for_o the_o side_n line_n of_o the_o map_n
depart_v from_o the_o meridian_n for_o that_o be_v equal_a to_o the_o latitude_n of_o the_o place_n proposition_n x._o the_o place_n of_o the_o earth_n situate_v under_o the_o aequator_fw-la have_v no_o latitude_n or_o elevation_n of_o the_o pole_n but_o both_o the_o pole_n lie_v in_o their_o horizon_n latitude_n the_o place_n under_o the_o aequator_fw-la have_v not_o latitude_n the_o place_n under_o the_o pole_n have_v the_o latitude_n of_o 90_o degree_n viz._n the_o pole_n in_o the_o vertex_fw-la and_o the_o aequator_fw-la in_o the_o horizon_n the_o place_n between_o the_o pole_n and_o the_o aequator_fw-la have_v a_o less_o latitude_n than_o ninety_o degree_n the_o truth_n of_o this_o proposition_n be_v evident_a therefore_o it_o need_v no_o explication_n proposition_n xi_o if_o we_o be_v either_o on_o the_o sea_n or_o land_n and_o know_v not_o the_o place_n where_o we_o be_v let_v the_o latitude_n be_v find_v to_o exhibit_v that_o parallel_n in_o the_o globe_n that_o we_o may_v be_v certain_a that_o we_o be_v in_o one_o point_n of_o it_o this_o be_v do_v after_o the_o same_o manner_n that_o we_o have_v show_v in_o the_o six_o proposition_n viz._n a_o parallel_n must_v be_v describe_v at_o the_o give_v or_o observe_v latitude_n and_o this_o be_v the_o parallel_n demand_v the_o same_o be_v also_o easy_a in_o map_n chap._n xxiv_o of_o the_o division_n of_o the_o earth_n into_o zone_n and_o the_o celestial_a appearance_n in_o the_o divers_a zone_n proposition_n i._o from_o the_o proper_a or_o annual_a motion_n of_o the_o sun_n there_o arise_v a_o certain_a division_n of_o the_o superficies_n of_o the_o earth_n into_o five_o part_n or_o zone_n scheme_n the_o division_n of_o the_o earth_n into_o 5_o zone_n see_v scheme_n see_v that_o the_o sun_n do_v not_o always_o continue_v in_o the_o aequator_fw-la but_o decline_v from_o it_o describe_v by_o his_o motion_n a_o path_n which_o cut_v the_o aequator_fw-la so_o that_o his_o great_a declination_n be_v in_o 23½_n degree_n as_o well_o towards_o the_o north_n from_o the_o aequator_fw-la as_o towards_o the_o south_n in_o which_o declination_n he_o describe_v the_o tropic_n of_o cancer_n and_o capricorn_n thence_o it_o be_v that_o he_o be_v not_o perpetual_o vertical_a to_o the_o place_n lie_v under_o the_o aequator_fw-la neither_o do_v he_o always_o keep_v one_o distance_n from_o other_o place_n for_o sometime_o he_o be_v more_o nigh_o and_o sometime_o more_o remote_a from_o a_o certain_a place_n and_o various_o change_v heat_n cold_a rain_n and_o other_o condition_n of_o the_o season_n these_o which_o we_o have_v now_o speak_v of_o may_v be_v show_v as_o well_o on_o the_o globe_n as_o in_o map_n a_o zone_n be_v term_v a_o part_n of_o the_o earth_n include_v within_o the_o tropic_a and_o the_o polary_a circle_n what_o a_o zone_n what_o and_o because_o there_o be_v two_o tropic_n and_o two_o polary_a circle_n thence_o it_o come_v to_o pass_v that_o there_o be_v five_o zone_n viz._n 1._o torrid_a 2._o temperate_a and_o 2._o frigid_a zone_n torrid_a zone_n the_o torrid_a zone_n be_v that_o part_n of_o the_o earth_n which_o lie_v between_o the_o tropic_n of_o cancer_n and_o capricorn_n zone_n temperate_a zone_n the_o temperate_a zone_n which_o lie_v between_o one_o of_o the_o tropic_n and_o the_o adjacent_a polary_a circle_n the_o northern_o temperate_a zone_n be_v that_o which_o lie_v between_o the_o tropic_a of_o cancer_n and_o the_o arctic_a circle_n the_o southern_o temperate_a zone_n be_v that_o which_o lie_v between_o the_o tropic_a of_o capricorn_n and_o the_o antarctic_a circle_n zone_n frigid_a zone_n the_o frigid_a or_o cold_a zone_n be_v those_o part_n of_o the_o earth_n which_o lie_v about_o the_o pole_n even_o to_o the_o polary_a circle_n and_o they_o be_v as_o well_o northern_o as_o southern_o cold_a circle_n proposition_n ii_o in_o the_o place_n according_a to_o their_o latitude_n in_o what_o zone_n they_o be_v in_o those_o place_n of_o the_o earth_n who_o latitude_n be_v less_o than_o 23_o degree_n and_o 30_o minute_n they_o lie_v in_o the_o torrid_a zone_n those_o who_o latitude_n be_v 23_o degree_n and_o 30_o minute_n they_o lie_v in_o the_o tropic_n viz._n in_o the_o extremity_n of_o the_o torrid_a zone_n those_o who_o latitude_n be_v great_a than_o 23_o degree_n and_o 30_o minute_n and_o less_o than_o 66_o degree_n and_o 30_o minute_n they_o lie_v in_o the_o temperate_a zone_n those_o who_o latitude_n be_v 66_o degree_n and_o 30_o minute_n they_o lie_v in_o the_o polary_a circle_n viz._n in_o the_o term_n of_o the_o temperate_a zone_n those_o who_o latitude_n be_v great_a than_o 66_o degree_n and_o 30_o minute_n they_o lie_v in_o the_o frigid_a zone_n these_o be_v manifest_a from_o the_o definition_n of_o the_o tropical_a and_o polary_a circle_n which_o we_o have_v treat_v of_o in_o the_o 23th_o chapter_n proposition_n iii_o the_o aequator_fw-la of_o the_o earth_n pass_v through_o these_o place_n through_o place_n which_o the_o aequator_fw-la pass_v through_o through_o the_o island_n of_o st._n thomas_n in_o the_o great_a bay_n of_o africa_n which_o be_v call_v the_o aethiopian_a ocean_n through_o aethiopia_n through_o the_o indian_a ocean_n through_o the_o middle_n of_o sumatra_n through_o the_o chersonesus_n of_o malacca_n and_o other_o island_n in_o the_o indian_a ocean_n through_o the_o moluccas_n themselves_o and_o the_o pacifick_n ocean_n through_o the_o entrance_n of_o the_o province_n of_o peruana_n by_o the_o lake_n parima_fw-la through_o the_o atlantic_a ocean_n even_o to_o the_o island_n of_o st._n thomas_n the_o aequator_fw-la divide_v the_o torrid_a zone_n into_o two_o equal_a part_n so_o that_o they_o may_v deserve_o be_v term_v two_o torrid_a zone_n one_o northern_a and_o the_o other_o southern_a these_o place_n lie_v in_o the_o torrid_a zone_n zone_n place_n which_o lie_v in_o the_o torrid_a zone_n the_o great_a part_n of_o africa_n the_o indian_a ocean_n abyssine_n part_n of_o arabia_n cambaja_n india_n 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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
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 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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
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 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
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 declination_n of_o the_o sun_n and_o from_o the_o globe_n and_o map_n therefore_o it_o be_v infer_v by_o the_o definition_n lay_v down_o before_o that_o the_o summer_n the_o winter_n and_o the_o spring_n of_o those_o place_n begin_z and_o end_v in_o those_o day_n we_o have_v speak_v of_o the_o summer_n of_o those_o place_n of_o the_o earth_n which_o lie_v between_o the_o tropic_a of_o capricorn_n and_o the_o antarctic_a pole_n or_o those_o of_o the_o southern_a zone_n temperate_a and_o frigid_a begin_v with_o the_o entrance_n of_o the_o sun_n into_o the_o first_o of_o capricorn_n viz._n 21_o of_o december_n and_o end_n with_o the_o entrance_n of_o the_o sun_n into_o the_o first_o of_o aries_n viz._n the_o 21_o of_o march._n the_o autumn_n of_o those_o place_n begin_v with_o the_o entrance_n of_o the_o sun_n into_o the_o first_o of_o aries_n and_o end_n with_o the_o entrance_n of_o the_o sun_n into_o the_o first_o of_o cancer_n viz._n the_o 21_o of_o june_n with_o this_o the_o winter_n 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the_o brazilian_o in_o the_o month_n of_o october_n and_o february_n and_o strike_v the_o earth_n with_o reflex_n ray_n at_o most_o acute_a angle_n which_o diversity_n of_o these_o region_n promise_v the_o inhabitant_n perpetual_a health_n by_o reason_n of_o the_o often_o calm_v and_o the_o air_n quell_v all_o noxious_a heat_n hence_o it_o be_v easy_a to_o dollect_v that_o the_o season_n of_o the_o year_n do_v not_o so_o much_o depend_v immediate_o on_o the_o sun_n and_o his_o motion_n as_o on_o the_o species_n of_o the_o wind_n the_o diversity_n of_o aspect_n of_o the_o star_n the_o quality_n and_o peculiar_a situation_n of_o the_o region_n moreover_o in_o these_o mediterranean_a region_n towards_o the_o west_n the_o night_n be_v more_o cold_a than_o in_o the_o maritime_a so_o much_o some_o time_n that_o the_o frost_n seize_v on_o the_o very_a hair_n of_o the_o people_n in_o the_o same_o month_n from_o the_o east_n about_o the_o ocean_n be_v summer_n and_o siccity_n brazilia_n no_o island_n be_v opposite_a to_o brazilia_n from_o the_o west_n beyond_o the_o ridge_n of_o the_o mountain_n and_o the_o marsh_n of_o brazilia_n be_v the_o winter_n fog_n and_o rain_n oftentimes_o the_o heaven_n may_v be_v see_v cover_v with_o vast_a cloud_n from_o the_o east_n towards_o the_o west_n but_o those_o again_o very_o thin_a except_o in_o the_o day_n of_o the_o rain_n the_o sun_n both_o rise_n and_o set_v may_v be_v behold_v with_o fix_a eye_n for_o there_o be_v a_o wonderful_a serenity_n on_o every_o side_n especial_o towards_o the_o evening_n which_o never_o aford_v any_o vapour_n or_o cloud_n to_o the_o succeed_a moon_n but_o render_v the_o night_n so_o clear_a that_o the_o old_a and_o new_a moon_n may_v be_v see_v in_o one_o and_o the_o same_o day_n and_o letter_n may_v be_v well_o read_v it_o the_o quarter_n moon_n the_o aether_n in_o respect_n of_o the_o diversity_n of_o the_o planet_n other_o inseriour_a cause_n accede_v receive_v its_o distemperature_n for_o the_o heaven_n about_o evening_n be_v bright_a with_o lightning_n without_o thunder_n in_o the_o most_o dry_a and_o serene_a season_n the_o drop_n of_o rain_n be_v very_o great_a and_o fall_v with_o great_a violence_n which_o be_v wont_a to_o be_v precede_v by_o a_o suffocative_a warmness_n the_o dew_n here_o be_v more_o fruitful_a than_o that_o of_o europe_n be_v impregnate_v with_o much_o winter_n and_o therefore_o be_v more_o penetrate_a and_o thin_a especial_o in_o summer_n which_o be_v manifest_a in_o all_o metal_n and_o in_o iron_n especial_o which_o it_o easy_o eat_v up_o without_o the_o assistance_n of_o any_o cloud_n the_o meadow_n and_o open_a field_n do_v less_o wax_v green_a in_o the_o summer_n but_o more_o especial_o in_o the_o pluvial_a month_n although_o the_o earth_n then_o seem_v somewhat_o more_o sad_a to_o the_o inhabitant_n and_o the_o place_n unfit_a for_o tillage_n afford_v pasture_n piso_n see_v piso_n all_o the_o land_n of_o brazilia_n arise_v into_o moderate_a and_o pleasant_a hill_n there_o be_v no_o mountain_n of_o any_o great_a height_n in_o the_o coast_n but_o yet_o some_o be_v discover_v afar_o off_o in_o the_o solitude_n among_o the_o barren_a hill_n yet_o not_o every_o where_n but_o with_o some_o interval_n of_o miles_n the_o valley_n be_v interpose_v every_o one_o irrigate_v with_o some_o small_a river_n and_o for_o that_o reason_n be_v not_o only_o fertile_a in_o the_o pluvial_a month_n but_o also_o in_o those_o of_o the_o summer_n the_o hill_n in_o the_o summer_n month_n be_v sterile_a by_o reason_n of_o the_o heat_n of_o the_o sun_n so_o that_o they_o wither_v and_o grass_n do_v not_o only_o die_v on_o they_o but_o sometime_o the_o tree_n also_o it_o very_o seldom_o rain_v throughout_o the_o whole_a day_n and_o night_n and_o for_o some_o continual_a day_n very_o seldom_o without_o intermission_n the_o pluvial_a month_n do_v a_o little_a differ_v in_o the_o year_n 1640._o as_o mariner_n have_v observe_v there_o be_v 7_o pluvial_a month_n viz_o february_n march_n april_n may_n june_n july_n and_o august_n but_o most_o and_o almost_o continual_o from_o april_n may_n and_o june_n in_o the_o year_n 1642._o the_o most_o pluvial_a month_n six_o viz._n march_n april_n may_n june_n july_n and_o august_n but_o the_o account_n of_o the_o other_o year_n be_v not_o much_o different_a now_o these_o observation_n be_v to_o be_v take_v only_o for_o one_o place_n and_o not_o for_o all_o the_o place_n in_o brazilia_n hence_o it_o be_v manifest_a that_o the_o summer_n and_o winter_n of_o brazilia_n answer_v to_o the_o celestial_a account_n see_v that_o in_o the_o great_a distance_n of_o the_o sun_n they_o have_v rain_n and_o in_o the_o least_o and_o moderate_a towards_o the_o south_n they_o have_v heat_n yet_o there_o be_v not_o a_o few_o irregularity_n the_o cause_n of_o which_o be_v to_o be_v seek_v from_o the_o situation_n of_o the_o wind_n and_o earth_n october_n the_o six_o rainy_a month_n be_v may_n june_n july_n august_n september_n and_o october_n 18._o this_o be_v enough_o for_o the_o southern_a america_n in_o the_o northern_a it_o be_v otherwise_o for_o in_o the_o province_n of_o nicaragua_n it_o rain_v for_o six_o month_n and_o the_o other_o six_o month_n it_o be_v summer_n and_o dry_a weather_n so_o that_o passenger_n may_v travel_v in_o the_o night_n this_o now_o be_v contrary_a to_o the_o celestial_a course_n for_o in_o the_o wet_a month_n for_o in_o may_n june_n and_o so_o on_o to_o november_n the_o sun_n be_v vertical_a or_o near_o the_o vertex_fw-la unto_o these_o place_n so_o that_o then_o they_o shall_v have_v summer_n and_o siccity_n and_o not_o rain_v in_o november_n and_o december_n it_o be_v very_o distant_a therefore_o they_o shall_v there_o have_v rain_n thus_o have_v we_o declare_v the_o season_n of_o the_o chief_a place_n of_o the_o whole_a torrid_a zone_n from_o which_o be_v compare_v one_o with_o another_o we_o collect_v 1._o that_o in_o some_o place_n the_o cold_a be_v scarce_o sensible_a in_o some_o part_n of_o the_o year_n and_o therefore_o the_o winter_n be_v rather_o to_o be_v define_v by_o the_o rain_n than_o by_o cold_a in_o those_o place_n 2._o in_o some_o place_n the_o cold_a be_v sufficient_o sensible_a 3._o in_o the_o night_n time_n especial_o in_o the_o last_o quarter_n the_o air_n be_v discover_v to_o be_v very_o cold_a by_o reason_n of_o the_o depression_n of_o the_o sun_n beneath_o the_o horizon_n 4._o that_o it_o be_v not_o the_o least_o cause_n of_o the_o tolerable_a heat_n and_o that_o those_o region_n be_v inhabit_v viz._n that_o no_o day_n be_v there_o long_o but_o almost_o equal_a to_o the_o night_n for_o if_o the_o day_n be_v as_o long_o there_o the_o sun_n remain_v above_o the_o horizon_n as_o in_o the_o place_n of_o the_o temperate_a and_o frigid_a zone_n then_o doubtless_o they_o will_v be_v uninhabited_a 5._o that_o the_o wind_n do_v much_o diminish_v the_o heat_n of_o the_o sun_n 6._o that_o place_n which_o lie_v in_o one_o and_o the_o same_o climate_n have_v the_o summer_n and_o winter_n in_o divers_a time_n although_o they_o be_v very_o near_o to_o one_o another_o 7._o that_o those_o place_n which_o have_v siccity_n and_o humidity_n contrary_a to_o the_o access_n and_o recess_n of_o the_o sun_n be_v so_o situate_v that_o on_o the_o east_n they_o have_v ridge_n of_o mountain_n and_o that_o they_o regard_v the_o west_n peru_n except_v 8._o that_o the_o season_n observe_v no_o certain_a rule_n in_o the_o place_n of_o the_o torrid_a zone_n 9_o that_o although_o most_o of_o the_o inhabitant_n divide_v the_o year_n into_o two_o season_n which_o be_v likewise_o observe_v by_o many_o writer_n to_o wit_n a_o pluvial_a and_o dry_a season_n yet_o it_o may_v apt_o be_v divide_v into_o four_o so_o that_o they_o may_v not_o only_o have_v a_o summer_n and_o a_o winter_n but_o also_o a_o spring_n and_o a_o autumn_n for_o as_o in_o our_o part_n the_o spring_n approach_v near_o the_o nature_n of_o summer_n and_o the_o autumn_n of_o winter_n so_o also_o the_o dry_a place_n of_o the_o torrid_a zone_n may_v be_v divide_v 10._o and_o last_o in_o some_o place_n there_o be_v a_o continual_a harvest_n in_o some_o only_o in_o two_o part_n of_o the_o year_n and_o in_o other_o only_o in_o one_o part_n of_o the_o year_n proposition_n xii_o to_o show_v how_o the_o four_o season_n of_o the_o year_n be_v make_v etc._n etc._n in_o the_o place_n of_o the_o temperate_a zone_n zone_n of_o the_o season_n of_o the_o year_n in_o place_n lie_v in_o the_o temperate_a zone_n 1._o in_o these_o place_n that_o cause_n which_o we_o have_v place_v in_o the_o first_o place_n among_o the_o cause_n of_o the_o season_n in_o the_o first_o proposition_n of_o this_o chapter_n be_v so_o potent_a in_o respect_n of_o the_o other_o cause_n that_o that_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
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
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 aequator_fw-la and_o the_o pole_n be_v less_o elevate_v above_o the_o horizon_n of_o the_o place_n between_o this_o parallel_n and_o the_o other_o pole_n of_o those_o situate_v there_o than_o above_o the_o horizon_n of_o the_o place_n situate_v between_o this_o parallel_n and_o the_o near_a pole_n etc._n of_o the_o elevation_n of_o star_n etc._n etc._n the_o parallel_n of_o any_o star_n may_v be_v design_v on_o the_o terrestrial_a globe_n or_o a_o point_n only_o note_v for_o a_o star_n and_o any_o place_n more_o remote_a from_o the_o pole_n be_v assume_v design_v the_o parallel_n of_o the_o place_n then_o take_v another_o place_n situate_v towards_o the_o other_o pole_n the_o stay_n of_o the_o star_n above_o the_o horizon_n of_o both_o place_n may_v be_v find_v and_o the_o truth_n of_o the_o proposition_n will_v be_v manifest_a proposition_n vi_o in_o place_n situate_a in_o and_o near_o the_o aequator_fw-la the_o sun_n and_o star_n direct_o ascend_v above_o the_o horizon_n even_o to_o 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
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inhabitant_n of_o scotland_n the_o ancient_a people_n of_o this_o kingdom_n be_v 1._o
prince_n lord_n nobles_z and_z gentry_z of_o the_o country_n on_o condition_n that_o they_o keep_v for_o his_o service_n some_o 1_o some_z 2_o 3_o 4_o 5_o some_z 10_o some_o 100_o some_o 1000_o and_o upward_o of_o horse_n which_o be_v to_o be_v always_o in_o readiness_n his_o army_n nevertheless_o consist_v for_o the_o most_o part_n of_o 100000_o horse_n and_o 200000_o foot_n and_o this_o beside_o his_o ordinary_a garrison_n his_o subject_n be_v strong_a and_o robustious_a use_v all_o sort_n of_o arm_n go_v free_o to_o all_o occasion_n want_v nothing_o but_o order_n and_o policy_n they_o have_v no_o considerable_a force_n at_o sea_n since_o the_o portugall_n hold_v from_o they_o in_o the_o kingdom_n of_o cambaya_n the_o city_n and_o fortress_n of_o diu_n daman_n basaim_v of_o the_o isle_n of_o saltette_n near_o bensaim_v the_o fort_n of_o manora_n and_o the_o rock_n of_o asserim_n fish_n the_o country_n store_v with_o cattle_n fowle_n and_o fish_n the_o whole_a country_n be_v store_v 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the_o year_n they_o have_v several_a festival_n day_n which_o they_o keep_v in_o great_a triumph_n wherein_o they_o have_v several_a divertisement_n of_o sport_n and_o recreation_n and_o especial_o the_o birth_n day_n of_o the_o mogoll_n the_o language_n which_o the_o great_a mogoll_n and_o most_o people_n of_o quality_n speak_v be_v the_o persian_a tongue_n the_o inhabitant_n be_v very_o expert_a at_o the_o bow_n the_o disease_n which_o be_v common_a among_o they_o be_v fever_n and_o the_o bloody_a flux_n their_o horse_n be_v not_o good_a but_o their_o ox_n be_v excellent_a be_v here_o use_v instead_o of_o horse_n which_o be_v very_o mettlesome_a as_o in_o this_o great_a extent_n of_o ground_n which_o we_o call_v the_o mogoll_n country_n there_o be_v several_a sort_n of_o people_n so_o likewise_o be_v there_o divers_a sort_n of_o religion_n some_o of_o which_o i_o shall_v speak_v a_o word_n or_o two_o of_o the_o benjan_o be_v pagan_n they_o use_v neither_o circumcision_n nor_o 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or_o priest_n take_v out_o a_o kind_n of_o yellow_a stuff_n with_o which_o he_o mark_v the_o forehead_n of_o they_o this_o braman_n sit_v at_o the_o foot_n of_o the_o altar_n from_o whence_o he_o rise_v often_o to_o say_v prayer_n in_o their_o mosque_n they_o always_o burn_v lamp_n and_o about_o the_o wall_n of_o they_o be_v abundance_n of_o figure_n as_o beast_n devil_n etc._n etc._n which_o they_o adore_v they_o much_o use_n as_o a_o part_n of_o their_o religion_n corporal_a purification_n bathe_v themselves_o every_o day_n they_o be_v very_o ingenious_a subtle_a and_o civil_a there_o be_v no_o trade_n but_o what_o they_o apply_v themselves_o unto_o and_o be_v very_o expert_a in_o the_o adulteration_n of_o all_o commodity_n they_o be_v civil_a in_o their_o apparel_n but_o their_o child_n go_v naked_a until_o the_o age_n of_o 5_o or_o 6_o year_n and_o at_o 7_o 8_o 9_o or_o 10_o year_n of_o age_n they_o marry_v they_o seldom_o stay_v until_o the_o age_n of_o 12_o especial_o the_o 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that_o of_o a_o crafty_a man_n into_o a_o fox_n etc._n etc._n for_o which_o reason_n they_o neither_o eat_v nor_o kill_v any_o thing_n that_o have_v life_n nay_o they_o be_v so_o far_o from_o destroy_v they_o that_o on_o the_o contrary_n they_o will_v purchase_v they_o of_o the_o mahometan_n and_o set_v they_o at_o liberty_n and_o for_o those_o that_o be_v lame_a or_o sick_a they_o have_v hospital_n for_o they_o as_o in_o persia_n j._n albert_n de_fw-fr mandelslo_n in_o his_o book_n of_o travel_n say_v that_o the_o benjan_o be_v divide_v among_o themselves_o into_o 83_o principal_a sect_n beside_o a_o infinite_a number_n of_o other_o those_o of_o most_o note_n as_o comprehend_v all_o the_o other_o be_v those_o of_o samarath_n ceurawath_n bisnow_n and_o goeghy_n religion_n the_o parsis_n and_o their_o religion_n beside_o the_o
mere_n del_fw-it shall_fw-mi describe_v granada_n with_o its_o city_n describe_v the_o new_a kingdom_n of_o granada_n lie_v almost_o all_o along_o the_o river_n magdelane_n and_o from_o its_o spring_n to_o the_o middle_n of_o its_o course_n be_v find_v a_o great_a many_o city_n as_o sancta_fw-la fe_o de_fw-la bogata_fw-la the_o metropolis_n of_o this_o kingdom_n of_o granada_n the_o residence_n of_o the_o governor_n and_o the_o see_v of_o a_o archbishop_n a_o city_n well_o inhabit_v by_o spaniard_n as_o well_o as_o the_o native_n st._n michael_n de_fw-fr sancta_fw-la fe_o about_o 12_o league_n from_o sancta_fw-la fe_o de_fw-la bogata_fw-la tocayma_n seat_v on_o the_o bank_n of_o the_o river_n pati_fw-la la_fw-fr palma_n de_fw-fr los_fw-la colimas_n a_o town_n build_v by_o the_o spaniard_n tunia_n build_v on_o the_o top_n of_o a_o hill_n be_v now_o a_o place_n of_o great_a strength_n serve_v for_o a_o fortress_n against_o the_o savage_n it_o be_v also_o a_o wealthy_a town_n enjoy_v a_o 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these_o part_n â—n_n 1536_o gonzalo_n ximenes_n overrun_v a_o great_a part_n of_o this_o new_a kingdom_n of_o granada_n and_o make_v booty_n of_o about_o 250000_o pezo_n of_o gold_n of_o which_o near_o 200000_o be_v exceed_v pure_a and_o beside_o the_o gold_n 1800_o emerald_n of_o divers_a size_n in_o another_o incursion_n make_v by_o ferdinand_n cortes_n into_o these_o quarter_n be_v find_v five_o emerald_n of_o a_o vast_a price_n they_o be_v cut_v into_o divers_a fashion_n one_o into_o the_o form_n of_o a_o fish_n another_o into_o a_o bugle_n or_o small_a horn_n a_o three_o into_o a_o little_a bird_n a_o four_o into_o a_o bell_n who_o clapper_n be_v a_o large_a pearl_n fashion_v like_o a_o pear_n and_o the_o last_o into_o a_o cup_n for_o which_o alone_o a_o genovese_n lapidary_n proffer_v 40000_o ducat_n with_o hope_n of_o gain_v great_a profit_n by_o it_o metal_n many_o rich_a mine_n of_o gold_n silver_n and_o other_o metal_n the_o air_n of_o this_o government_n incline_v to_o 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1566_o those_o of_o cusco_n try_v again_o the_o discovery_n of_o the_o amazon_n by_o the_o amarumaye_n which_o can_v not_o succeed_v there_o be_v two_o competitor_n for_o this_o expedition_n who_o make_v war_n fight_v and_o weaken_v each_o other_o in_o such_o manner_n that_o there_o remain_v but_o a_o few_o to_o be_v knock_v on_o the_o head_n by_o the_o chonchis_n maldonado_n one_o of_o the_o chief_n of_o this_o expedition_n together_o with_o two_o friar_n escape_v and_o bring_v the_o news_n after_o this_o of_o maldonado_n no_o more_o discovery_n of_o the_o amazon_n be_v attempt_v till_o 60_o or_o 70_o year_n after_o in_o 1635_o jean_n de_fw-fr palacios_n reattempt_v this_o design_n transport_v himself_o with_o some_o other_o to_o annete_n to_o see_v with_o what_o mean_v he_o may_v serve_v himself_o to_o make_v this_o voyage_n but_o in_o 1636_o he_o be_v kill_v and_o the_o great_a part_n of_o his_o man_n return_v but_o two_o friar_n and_o 5_o or_o 6_o soldier_n put_v themselves_o 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freeze_v and_o harden_v their_o body_n in_o such_o manner_n that_o they_o corrupt_v not_o the_o valley_n and_o the_o plain_n near_a the_o sea_n be_v well_o inhabit_v fertility_n it_o be_v fertility_n and_o have_v the_o air_n healthful_a serene_a and_o temperate_a the_o soil_n excellent_a and_o fertile_a though_o not_o without_o some_o difference_n according_a as_o it_o be_v near_a or_o further_o from_o the_o equator_fw-la the_o quarter_n of_o chili_n ought_v to_o be_v hot_a and_o that_o of_o the_o imperial_a as_o hot_a as_o spain_n but_o the_o vicinity_n of_o the_o mountain_n on_o one_o side_n and_o the_o other_o render_v it_o a_o little_a cold_o than_o otherwise_o may_v be_v expect_v as_o to_o the_o climate_n but_o yet_o hot_a enough_o to_o be_v one_o of_o the_o best_a part_n of_o america_n the_o valley_n of_o copiapo_n yield_v sometime_o three_o hundred_o for_o one_o those_o of_o guasco_n and_o coquimbo_n be_v hold_v no_o way_n inferior_a to_o it_o that_o of_o chili_n be_v so_o 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thousand_o ducat_n this_o agree_v with_o what_o the_o ynca_n garcilasso_n de_fw-fr la_fw-fr vega_n report_v in_o his_o history_n say_v that_o the_o count_n valdivia_n have_v for_o his_o portion_n a_o part_n of_o chili_n and_o that_o his_o subject_n render_v he_o the_o yearly_a tribute_n of_o a_o hundred_o thousand_o pezo_n of_n gold_n but_o the_o thirst_n after_o this_o metal_n be_v instiable_a and_o valdivia_n death_n the_o avarice_n of_o valdivia_n prove_v his_o ruin_n and_o death_n the_o more_o he_o receive_v the_o more_o still_o he_o covet_v force_v to_o work_v in_o these_o mine_n those_o indian_n who_o not_o accustom_v to_o so_o hard_a a_o labour_n nor_o to_o serve_v so_o cruel_a a_o master_n resolve_v to_o rid_v themselves_o of_o he_o and_o to_o cast_v off_o their_o heavy_a yoke_n in_o pursuance_n of_o which_o those_o of_o arauco_n and_o thereabouts_o begin_v the_o revolt_n and_o after_o divers_a encounter_n slay_v and_o take_v a_o hundred_o and_o fifty_o of_o his_o horseman_n these_o arauque_n with_o their_o neighbour_n assemble_v themselves_o to_o a_o body_n of_o twelve_o or_o thirteen_o thousand_o man_n who_o after_o have_v be_v divers_a time_n beat_v by_o valdivia_n and_o in_o all_o likelihood_n of_o be_v quite_o subdue_v at_o length_n a_o old_a indian_a who_o in_o all_o possibility_n have_v before_o observe_v the_o order_n which_o the_o spaniard_n hold_v in_o their_o battle_n advise_v they_o to_o divide_v their_o man_n into_o many_o squadron_n and_o show_v they_o how_o each_o squadron_n one_o after_o another_o must_v assault_v the_o spaniard_n and_o that_o the_o first_o squadron_n be_v break_v must_v rally_v in_o the_o tail_n of_o the_o last_o which_o succeed_v so_o well_o that_o in_o the_o end_n they_o so_o weary_v the_o spaniard_n and_o their_o horse_n that_o when_o they_o begin_v to_o think_v of_o a_o retreat_n they_o be_v prevent_v and_o utter_o defeat_v some_o say_v that_o valdivia_n be_v fall_v into_o their_o hand_n be_v fasten_v to_o a_o tree_n and_o his_o almoner_n to_o another_o so_o near_o together_o that_o they_o may_v discourse_v together_o and_o condole_v one_o another_o misfortune_n and_o that_o the_o arauque_n from_o time_n to_o time_n though_o contrary_a to_o their_o custom_n to_o eat_v human_a flesh_n do_v cut_v off_o gobbet_n of_o flesh_n from_o their_o leg_n thigh_n and_o arm_n which_o they_o cause_v to_o be_v roast_v boil_a or_o broil_v according_a to_o their_o several_a appetite_n which_o they_o do_v eat_v in_o the_o sight_n of_o these_o poor_a torment_a creature_n whilst_o they_o be_v finish_v their_o day_n in_o such_o a_o linger_a death_n other_o say_v that_o they_o take_v off_o the_o top_n of_o his_o skull_n and_o pour_v melt_v gold_n into_o his_o brain_n mouth_n and_o ear_n make_v afterward_o a_o goblet_n of_o his_o head_n and_z trumpets_z of_o his_o bone_n etc._n etc._n other_o the_o city_n of_o valdivia_n take_v and_o destroy_v by_o the_o native_n with_o other_o after_o the_o death_n of_o valdivia_n the_o spaniard_n have_v great_a disadvantage_n in_o chili_n till_o that_o gracias_fw-la de_fw-fr mendoza_n son_n to_o the_o vice_n roy_fw-fr of_o peru_n have_v reduce_v part_n of_o these_o people_n to_o obedience_n which_o continue_v for_o no_o long_a season_n for_o in_o 1599_o these_o people_n surprise_v the_o city_n of_o valdivia_n seize_v on_o the_o gate_n and_o chief_a place_n invest_v every_o house_n to_o the_o end_n nothing_o may_v escape_v their_o hand_n set_v fire_n through_o all_o kill_v and_o take_v prisoner_n 4_o or_o 500_o man_n woman_n and_o child_n take_v the_o fort_n wherein_o be_v three_o hundred_o thousand_o pezo_n of_o gold_n beside_o which_o they_o carry_v away_o with_o they_o all_o the_o arm_n ammunition_n and_o artillery_n after_o the_o take_n of_o valdivia_n the_o imperial_a be_v besiege_v which_o they_o stout_o defend_v and_o maintain_v for_o the_o space_n of_o twelve_o month_n and_o will_v have_v do_v long_o be_v it_o not_o for_o the_o famine_n and_o sickness_n that_o so_o extreme_o reign_v among_o they_o that_o reduce_v their_o force_n together_o with_o the_o inhabitant_n of_o the_o city_n to_o about_o twenty_o man_n who_o no_o long_o able_a to_o defend_v themselves_o submit_v to_o the_o mercy_n of_o the_o arauque_n so_o that_o in_o the_o end_n of_o 13_o principal_a city_n that_o be_v in_o chili_n 6_o or_o 7_o be_v ruin_v viz_o valdivia_n l'_fw-fr imperial_a ongol_n chilliam_n st._n crux_fw-la la_fw-fr conception_n and_o villarica_n osorno_n in_o time_n receive_v relief_n the_o man_n find_v in_o the_o take_v city_n be_v knock_v on_o the_o head_n they_o permit_v the_o ransom_n of_o woman_n one_o of_o who_o they_o give_v for_o a_o pair_n of_o spur_n a_o pair_n of_o stirrup_n or_o a_o horse_n bridle_n for_o a_o sword_n they_o will_v give_v half_a a_o dozen_o but_o this_o commerce_n be_v soon_o prohibit_v by_o the_o viceroy_n