Selected quad for the lemma: world_n

Word A Word B Word C Word D Occurrence Frequency Band MI MI Band Prominent
world_n circle_n point_n pole_n 2,440 5 11.6304 5 false
View all documents for the selected quad

Text snippets containing the quad

ID Title Author Corrected Date of Publication (TCP Date of Publication) STC Words Pages
A18028 Geographie delineated forth in two bookes Containing the sphericall and topicall parts thereof, by Nathanael Carpenter, Fellow of Exceter Colledge in Oxford. Carpenter, Nathanael, 1589-1628? 1635 (1635) STC 4677; ESTC S107604 387,148 599

There are 17 snippets containing the selected quad. | View original text

360_o by_o multiplication_n be_v produce_v have_v exact_o these_o part_n 1.2.3.4.5.6.10.12.15.20.30_o likewise_o 360_o have_v exact_o 1.2.3.4.5.6.8.9.10.12.15.18.20.24.30.36.40.46.60.72.90.120.180_o of_o all_o which_o part_v there_o be_v so_o great_a use_n in_o astronomy_n and_o many_o time_n in_o geography_n that_o without_o it_o there_o will_v be_v small_a exactness_n for_o as_o we_o see_v a_o yard_n measure_n will_v little_a steed_n the_o mercer_n or_o clothier_n except_o it_o be_v again_o divide_v into_o small_a part_n so_o fall_v it_o out_o in_o the_o account_n of_o the_o cosmographer_n 3_o of_o the_o terrestrial_a circle_n some_o be_v absolute_a some_o relative_n the_o absolute_a be_v such_o as_o be_v assign_v without_o any_o respect_n to_o our_o sight_n of_o which_o sort_n be_v the_o meridian_n and_o parallel_n 4._o the_o meridian_n be_v a_o circle_n draw_v by_o the_o pole_n of_o the_o world_n and_o the_o vertical_a point_n of_o the_o place_n the_o meridian_n circle_n be_v so_o call_v of_o astronomer_n because_o when_o the_o sun_n according_a to_o their_o supposition_n by_o the_o motion_n of_o the_o first_o movable_a come_v into_o this_o circle_n it_o make_v midday_n and_o then_o have_v be_v run_v his_o course_n from_o his_o rise_n to_o arrive_v there_o just_a so_o long_o as_o he_o shall_v be_v move_v from_o thence_o to_o the_o place_n of_o his_o set_n in_o this_o meridian_n be_v place_v the_o two_o pole_n of_o the_o equator_fw-la which_o be_v the_o same_o with_o the_o pole_n of_o the_o world_n in_o this_o also_o be_v the_o vertical_a point_n and_o the_o point_n opposite_a unto_o it_o term_v the_o pole_n of_o the_o horizon_n whereof_o we_o shall_v speak_v hereafter_o so_o that_o so_o many_o meridian_n be_v imagine_a to_o be_v in_o the_o earth_n as_o there_o be_v vertical_a point_n for_o howsoever_o we_o see_v not_o many_o meridian_n paint_v on_o the_o face_n of_o the_o artificial_a globe_n yet_o must_v there_o be_v so_o many_o imagine_v in_o the_o real_a earth_n as_o zenithes_n and_o orison_n so_o that_o it_o be_v impossible_a for_o a_o man_n to_o move_v never_o so_o little_a from_o east_n to_o west_n without_o change_v his_o meridian_n yet_o for_o more_o order_n sake_n have_v the_o cosmographer_n reduce_v the_o number_n of_o meridian_n to_o half_a the_o number_n of_o the_o degree_n in_o a_o circle_n to_o wit_n to_o 180_o that_o every_o meridian_n cut_v the_o equator_fw-la and_o other_o parallel_n in_o two_o opposite_a place_n shall_v answer_v to_o two_o degree_n in_o the_o same_o circle_n by_o which_o it_o appear_v that_o every_o meridian_n divide_v the_o terrene_a globe_n in_o two_o half_n whereof_o the_o one_o be_v respective_o term_v of_o the_o east_n the_o other_o of_o the_o west_n but_o to_o avoid_v all_o ambiguity_n of_o speech_n we_o ought_v to_o consider_v that_o a_o meridian_n be_v twofold_a either_o the_o true_a meridian_n or_o magnetical_a meridian_n the_o true_a meridian_n ordinary_o so_o call_v be_v that_o which_o direct_o pass_v by_o the_o pole_n of_o the_o world_n of_o which_o we_o here_o treat_v which_o indeed_o as_o we_o shall_v show_v be_v the_o only_a true_a magnetical_a meridian_n but_o that_o which_o some_o have_v false_o call_v the_o magnetical_a meridian_n be_v that_o which_o run_v by_o the_o pole_n of_o the_o magnetical_a variation_n and_o much_o differ_v from_o the_o true_a because_o as_o we_o have_v teach_v the_o variation_n be_v diverse_a according_a to_o the_o diversity_n of_o place_n &_o therefore_o can_v answer_v in_o any_o certain_a proportion_n to_o the_o pole_n of_o the_o terrene_a globe_n the_o true_a meridian_n circle_n as_o it_o have_v manifold_a use_n in_o astronomy_n namely_o to_o distinguish_v midday_n and_o midnight_n to_o measure_v the_o rise_n and_o set_v of_o the_o star_n etc._n etc._n matter_n not_o to_o be_v neglect_v of_o geographer_n so_o have_v it_o a_o more_o special_a use_n in_o geography_n to_o design_n the_o longitude_n and_o latitude_n of_o the_o place_n with_o their_o distance_n with_o many_o other_o matter_n treat_v of_o hereafter_o 5_o concern_v the_o meridian_n circle_v we_o be_v to_o know_v two_o thing_n the_o invention_n of_o it_o and_o the_o distinction_n the_o invention_n be_v whereby_o we_o be_v teach_v to_o find_v out_o the_o true_a meridian_n in_o any_o place_n assign_v 6_o the_o invention_n of_o the_o meridian_n be_v again_o twofold_a the_o one_o more_o accurate_a which_o be_v either_o astronomical_a or_o magnetical_a the_o other_o popular_a the_o astronomical_a way_n be_v perform_v by_o observe_v the_o celestial_a motion_n the_o meridian_n may_v be_v find_v out_o the_o astronomical_a way_n in_o diverse_a manner_n by_o instrument_n devise_v for_o this_o purpose_n by_o ingenious_a artificer_n whereof_o some_o be_v describe_v by_o gemma_fw-la frisius_n in_o his_o cosmographie_n but_o to_o avoid_v the_o cost_n of_o curious_a instrument_n i_o will_v set_v down_o our_o way_n depend_v on_o this_o theorem_a 1_o if_o two_o several_a sunne-shadowe_n be_v observe_v the_o one_o in_o the_o forenoon_n the_o other_o in_o the_o afternoon_n of_o the_o same_o day_n exact_o to_o touch_v with_o their_o end_n the_o circumference_n of_o the_o same_o circle_n describe_v in_o a_o plain_a parallel_n to_o the_o plain_a of_o the_o horizon_n the_o line_n from_o the_o centre_n equal_o divide_v the_o arch_n of_o that_o circle_n betwixt_o the_o two_o shadow_n will_v be_v the_o true_a meridian_n circle_n for_o that_o place_n this_o theorem_a howsoever_o consist_v of_o many_o part_n be_v notwithstanding_o easy_a enough_o to_o be_v understand_v be_v explayn_v by_o a_o ocular_a demonstration_n let_v there_o be_v get_v a_o platform_n of_o wood_n or_o metal_n and_o place_v even_o that_o it_o may_v lie_v parallel_n with_o the_o plain_a of_o the_o horizon_n in_o this_o plain_a let_v there_o be_v describe_v diverse_a circle_n from_o the_o same_o centre_n e._n in_o this_o centre_n let_v there_o be_v raise_v a_o gnomon_n of_o to_o right_a angle_n so_o that_o the_o top_n of_o this_o gnomon_n f_o shall_v every_o where_o be_v equal_o distant_a from_o the_o circumference_n of_o each_o circle_n describe_v in_o the_o plain_a which_o may_v easy_o be_v know_v because_o if_o it_o be_v equal_o distant_a from_o any_o three_o point_n of_o any_o circle_n circumference_n it_o will_v also_o be_v equal_o distant_a from_o all_o the_o rest_n alike_o as_o clavius_n have_v teach_v in_o the_o 4_o of_o his_o gnomonic_n this_o platform_n be_v thus_o order_v let_v the_o shadow_n of_o the_o gnomon_n be_v observe_v sometime_o before_o noon_n until_o such_o time_n as_o it_o exact_o shall_v touch_v the_o circumference_n of_o one_o of_o those_o circle_n as_o in_o eglantine_n again_o in_o the_o afternoon_n let_v the_o shadow_n be_v observe_v till_o with_o his_o end_n it_o meet_v the_o circumference_n of_o the_o same_o circle_n as_o in_o eh_n which_o will_v happen_v so_o many_o hour_n afternoon_n as_o the_o other_o before_o noon_n these_o two_o point_n g_z and_o h_z be_v diligent_o observe_v let_v the_o arch_n of_o the_o circle_n gh_o be_v divide_v into_o two_o half_n with_o a_o line_n draw_v from_o the_o centre_n e_o which_o shall_v be_v ed._n this_o line_n ed_z will_v be_v the_o true_a meridian_n for_o that_o place_n on_o which_o when_o the_o shadow_n of_o the_o gnomon_n shall_v happen_v to_o fall_v we_o may_v assure_v ourselves_o that_o it_o be_v full_a noon_n 7_o the_o magnetical_a invention_n be_v perform_v by_o the_o magnetical_a directory_n needle_n this_o way_n be_v subject_a to_o much_o error_n and_o not_o so_o certain_a as_o the_o former_a because_o as_o we_o have_v show_v before_o there_o be_v find_v very_o few_o place_n which_o admit_v not_o some_o of_o variation_n yet_o because_o it_o may_v be_v profitable_a to_o such_o who_o have_v not_o the_o command_n always_o of_o the_o sun_n or_o sight_n of_o the_o star_n i_o will_v insert_v this_o theorem_a 1_o the_o line_n wherein_o the_o directory_n needle_n be_v direct_v from_o north_n to_o south_n be_v the_o meridian_n for_o the_o place_n this_o may_v be_v show_v in_o any_o mariner_n compass_n or_o 〈◊〉_d sunne-dyall_n who_o needle_n be_v magnetical_o touch_v for_o b●●ing_v set_v even_o parallel_v to_o the_o plain_n of_o the_o horizon_n it_o will_v show_v by_o the_o needle_n the_o miridian_n for_o that_o place_n in_o every_o vertical_a point_n on_o the_o earth_n for_o example_n in_o the_o sea-compasse_n in_o the_o next_o page_n experience_n will_v witness_v in_o every_o region_n of_o the_o earth_n that_o the_o one_o point_n sign_v out_o by_o the_o lily_n will_v always_o turn_v to_o the_o north_n the_o other_o opposite_a part_n will_v turn_v itself_o to_o the_o south_n which_o two_o part_n be_v join_v together_o by_o a_o right_a line_n will_v show_v the_o meridian_n fo●●●at_a place_n the_o meridian_n i_o say_v not_o always_o the_o true_a for_o this_o invention_n take_v from_o
receive_a error_n as_o we_o have_v mention_v that_o there_o be_v a_o certain_a rock_n or_o pole_n of_o loadstone_n some_o degree_n distant_a from_o the_o true_a pole_n of_o the_o world_n which_o the_o magnetical_a needle_n in_o its_o variation_n shall_v respect_v this_o pole_n they_o have_v imagine_v to_o be_v in_o the_o same_o meridian_n with_o that_o which_o pass_v by_o the_o azore_n whence_o they_o have_v labour_v to_o show_v the_o reason_n why_o the_o compass_n shall_v not_o vary_v in_o that_o place_n which_o they_o explain_v by_o this_o figure_n let_v there_o be_v a_o circle_n describe_v the_o sphere_n e_o of_o the_o horizon_n of_o the_o arctic_a pole_n a_o the_o antarctic_a ●_o the_o pole_n or_o rock_n of_o loadstone_n place_v out_o of_o the_o pole_n of_o the_o earth_n b._n let_v there_o be_v place_v a_o magnetical_a directory_n needle_n in_o h_n it_o will_v according_a to_o their_o assertion_n tend_v to_o the_o point_n b_o by_o the_o magnetical_a meridian_n h_n b_o which_o because_o it_o concurre_v with_o the_o true_a meridian_n b_o a_o or_o h_n a_o there_o will_v be_v no_o variation_n at_o all_o but_o a_o true_a direction_n to_o the_o north_n pole_n of_o the_o earth_n but_o let_v this_o magnetical_a needle_n be_v place_v in_o the_o point_n d_o it_o be_v certain_a according_a to_o this_o opinion_n that_o it_o will_v tend_v to_o the_o pole_n of_o the_o loadstone_n b_o by_o the_o magnetical_a meridian_n d_o b._n wherefore_o it_o will_v not_o point_v out_o the_o pole_n of_o the_o earth_n a_o but_o rather_o the_o point_n c_o because_o these_o two_o meridian_n come_v not_o into_o one_o and_o the_o selfsame_o hence_o they_o have_v labour_v with_o more_o hope_n than_o success_n ●o_o find_v out_o the_o longitude_n of_o any_o part_n of_o the_o earth_n without_o any_o observation_n of_o the_o heaven_n which_o i_o confess_v may_v easy_o be_v effect_v if_o this_o conjecture_n may_v stand_v with_o true_a observation_n but_o how_o far_o this_o conceit_n swerve_v from_o the_o experience_n of_o navigatour_n one_o or_o two_o instance_n will_v serve_v to_o demonstrate_v for_o if_o the_o variation_n have_v any_o such_o certain_a pole_n as_o they_o imagine_v than_o will_v the_o arch_n of_o variation_n be_v increase_v or_o diminish_v proportional_o according_a to_o the_o distance_n of_o the_o place_n as_o for_o example_n if_o in_o the_o compass_n of_o a_o hundred_o mile_n the_o compass_n be_v vary_v one_o degree_n then_o in_o the_o next_o hundred_o mile_n it_o will_v vary_v another_o degree_n which_o will_v make_v two_o degree_n but_o this_o have_v often_o be_v prove_v otherwise_o by_o diverse_a experiment_n of_o navigation_n mention_v by_o gilbert_n and_o f._n wright_n i_o will_v only_o produce_v one_o or_o two_o if_o a_o ship_n sail_n from_o the_o sorlinge_n to_o newfoundland_n they_o have_v observe_v that_o when_o they_o come_v so_o far_o as_o to_o find_v the_o compass_n to_o point_v direct_o north_n without_o any_o variation_n at_o all_o then_o pass_v onward_o there_o will_v be_v a_o variation_n towards_o the_o north-east_n but_o obscure_a and_o little_a then_o afterward_o will_v the_o arch_n of_o this_o variation_n increase_v with_o like_a space_n in_o a_o great_a proportion_n until_o they_o approach_v near_o the_o continent_n where_o they_o shall_v find_v a_o very_a great_a variation_n yet_o before_o they_o come_v a_o shore_n this_o variation_n will_v decrease_v again_o from_o which_o one_o instance_n if_o there_o be_v no_o other_o we_o may_v conclude_v that_o the_o arch_n of_o variation_n be_v not_o always_o proportionable_a to_o the_o distance_n which_o grant_v quite_o overthrow_v that_o conceit_n of_o the_o pole_n of_o variation_n beside_o this_o if_o there_o be_v two_o such_o magnetical_a pole_n there_o can_v be_v but_o one_o common_a meridian_n pass_v by_o they_o and_o the_o pole_n of_o the_o earthly_a globe_n but_o by_o many_o observation_n collect_v and_o observe_v by_o ed._n wright_n and_o other_o there_o shall_v be_v many_o magnetical_a meridian_n pass_v by_o the_o pole_n of_o the_o world_n as_o in_o the_o meridian_n about_o trinidado_n and_o bermuda_n the_o meridian_n about_o the_o westermost_a of_o the_o azore_n last_o the_o meridian_n run_v among_o the_o east_n indian_a land_n a_o little_a beyond_o java_n maior_n the_o magnetical_a and_o true_a meridian_n must_v needs_o agree_v in_o one_o now_o for_o as_o much_o as_o all_o these_o magnetical_a meridian_n pass_n by_o the_o pole_n of_o the_o earth_n there_o can_v no_o cause_n be_v assign_v why_o the_o magnetical_a pole_n shall_v be_v say_v to_o be_v in_o one_o rather_o than_o another_o and_o if_o in_o any_o then_o in_o all_o whence_o it_o must_v needs_o follow_v that_o as_o many_o magnetical_a meridian_n as_n you_o have_v to_o pass_v by_o the_o true_a pole_n of_o the_o world_n so_o many_o pair_n of_o magnetical_a pole_n must_v you_o have_v which_o will_v be_v opposite_a to_o all_o reason_n and_o experience_n 1_o the_o point_n of_o variation_n as_o of_o direction_n be_v only_o respective_a not_o attractive_a it_o be_v suppose_v by_o the_o ancient_n that_o the_o direction_n and_o variation_n of_o the_o loadstone_n be_v cause_v by_o a_o attractive_a point_n which_o draw_v and_o enforce_v the_o lily_n of_o the_o compass_n that_o way_n which_o error_n take_v place_n from_o another_o common-received_n opinion_n that_o all_o the_o other_o motion_n of_o the_o magnet_n be_v reduce_v to_o the_o attractive_a operation_n but_o the_o error_n be_v correct_v by_o one_o robert_n norman_n a_o englishman_n who_o find_v this_o point_n to_o be_v respective_a and_o no_o way_n attractive_a who_o reason_n or_o demonstration_n be_v not_o disapprove_v by_o dr_n gilbert_n although_o in_o other_o matter_n he_o sharp_o tax_v he_o his_o experiment_n be_v thus_o let_v there_o be_v a_o round_a vessel_n as_o we_o have_v describe_v full_o of_o water_n in_o the_o middle_n of_o this_o water-place_n a_o iron-wier_n in_o a_o convenient_a round_a cork_n or_o boat_n that_o it_o may_v swim_v upon_o the_o water_n even_o poyze_v let_v this_o iron-wire_n be_v first_o touch_v with_o the_o loadstone_n that_o it_o may_v more_o strong_o show_v the_o point_n of_o variation_n let_v this_o point_n of_o variation_n be_v d_o let_v this_o iron-wire_n rest_n upon_o the_o water_n in_o the_o cork_n for_o a_o certain_a time_n it_o be_v certain_o true_a that_o this_o iron-wire_n in_o the_o cork_n will_v not_o move_v itself_o to_o the_o margin_n or_o brink_n of_o the_o vessel_n d_o which_o certain_o it_o will_v do_v if_o the_o point_n d_o be_v a_o attractive_a point_n 3_o the_o variation_n of_o every_o place_n be_v constant_a and_o not_o variable_a this_o have_v be_v ratify_v by_o the_o experience_n of_o navigatour_n which_o in_o the_o selfsame_o region_n have_v never_o miss_v the_o true_a variation_n which_o they_o have_v assign_v they_o before_o if_o any_o difference_n be_v assign_v in_o variation_n to_o the_o same_o region_n we_o may_v impute_v it_o to_o their_o error_n which_o observe_v it_o arise_v either_o from_o want_n of_o skill_n or_o convenient_a instrument_n neither_o can_v this_o ever_o be_v change_v except_o some_o great_a deluge_n or_o dissolution_n happen_v of_o a_o great_a part_n of_o land_n as_o plato_n record_v of_o his_o atlantic_a land_n 4_o the_o variation_n be_v great_a in_o place_n near_o the_o pole_n of_o the_o earth_n this_o proportion_n be_v not_o to_o be_v take_v universal_o but_o common_o for_o the_o most_o part_n yet_o will_v it_o have_v truth_n in_o all_o place_n if_o all_o other_o thing_n be_v correspondent_a it_o be_v observe_v that_o the_o variation_n be_v great_a on_o the_o coast_n of_o norway_n and_o the_o low-countries_n then_o at_o morocco_n or_o guinea_n for_o at_o guinea_n the_o magnetical_a needle_n incline_v to_o the_o east_n a_o three_o part_n of_o one_o rumbe_n of_o the_o compass_n in_o the_o land_n of_o cape-verde_a half_a in_o the_o coast_n of_o morocco_n two_o three_o part_n in_o england_n at_o the_o mouth_n of_o thames_n according_a to_o the_o observation_n of_o d._n gilbert_n and_o ed._n wright_n though_o some_o deny_v it_o one_o whole_a rumbe_n in_o london_n the_o chief_a city_n of_o it_o eleven_o degree_n and_o more_o which_o we_o also_o find_v or_o thereabouts_o in_o oxford_n the_o reason_n be_v because_o the_o magnetical_a motive_n virtue_n be_v strong_a in_o the_o great_a latitude_n increase_v towards_o the_o pole_n and_o the_o large_a region_n of_o land_n lie_v towards_o the_o pole_n prevail_v more_o than_o those_o which_o be_v situate_v far_o off_o 12_o thus_o much_o for_o the_o variation_n the_o declination_n be_v a_o magnetical_a motion_n whereby_o the_o magnetical_a needle_n convert_v itself_o under_o the_o horizontall_a plain_a towards_o the_o axis_n of_o the_o earth_n what_o we_o have_v hitherto_o speak_v of_o direction_n and_o variation_n magnetical_a be_v such_o as_o may_v be_v
sphere_n the_o inclinatory_a needle_n shall_v conform_v itself_o in_o a_o parallell-wise_a to_o the_o axle_n of_o the_o earth_n through_o that_o place_n pass_v the_o equinoctial_a line_n as_o to_o find_v out_o the_o meridian_n of_o any_o place_n we_o be_v to_o use_v the_o help_n of_o the_o directory_n needle_n so_o to_o the_o find_v out_o of_o the_o equatour_n and_o parallel_n the_o inclinatory_a needle_n be_v most_o necessary_a because_o the_o former_a respect_n the_o magnetical_a motion_n of_o direction_n the_o latter_a of_o declination_n now_o wheresoever_o we_o shall_v see_v the_o needle_n to_o conform_v itself_o in_o such_o sort_n as_o it_o may_v lie_v parallel_n with_o the_o axle_n of_o the_o earth_n we_o may_v assure_v ourselves_o that_o such_o a_o place_n be_v under_o the_o equinoctial_a circle_n the_o reason_n whereof_o we_o have_v give_v in_o our_o 3_o chapter_n out_o of_o the_o convertible_a nature_n of_o the_o magnet_n and_o here_o need_v no_o repetition_n only_o we_o will_v insert_v this_o one_o figure_n wherein_o the_o line_n cd_o draw_v through_o the_o centre_n of_o two_o inclinatory_a needle_n lie_v parallel_n to_o the_o axle_n of_o the_o earth_n a._n b._n will_v express_v this_o equinoctial_a line_n which_o we_o here_o seek_v for_o the_o magnetical_a inclinatory_a needle_n be_v set_v in_o a_o frame_n or_o ring_n make_v for_o such_o a_o purpose_n will_v under_o the_o equator_fw-la respect_n one_o pole_n no_o more_o than_o another_o but_o lie_v level_a with_o the_o plain_a of_o the_o horizon_n as_o under_o the_o pole_n it_o will_v make_v right_a angle_n with_o the_o plain_a of_o the_o horizon_n in_o the_o middle_a space_n betwitxt_v the_o equatour_n and_o the_o pole_n it_o will_v conform_v itself_o in_o such_o sort_n as_o it_o make_v certain_a angle_n with_o the_o axle_n of_o the_o earth_n though_o not_o equal_a yet_o proportional_a to_o the_o latitude_n out_o of_o which_o a_o ingenious_a artificer_n may_v deduce_v the_o parallel_n of_o any_o place_n without_o any_o observation_n of_o the_o heaven_n as_o be_v teach_v by_o instrument_n invent_v by_o gilbert_n ridley_n and_o diverse_a other_o which_o have_v undertake_v this_o subject_n 16_o of_o the_o invention_n of_o the_o equatour_n we_o have_v speak_v in_o the_o site_n we_o ought_v to_o consider_v the_o place_n of_o the_o equator_fw-la in_o respect_n of_o the_o world_n 1_o the_o equatour_n be_v a_o unmoveable_a circle_n who_o pole_n never_o vary_v from_o the_o ●ixt_a pole_n of_o the_o world_n whether_o the_o pole_n of_o the_o equator_fw-la have_v be_v any_o time_n vary_v from_o the_o pole_n of_o the_o world_n be_v a_o controversy_n which_o have_v exercise_v the_o great_a wit_n joseph_n scaliger_n trust_v as_o it_o seem_v more_o to_o ancient_a history_n then_o modern_a experiment_n seem_v in_o two_o epistle_n not_o only_o to_o make_v a_o doubt_n whether_o the_o pole_n of_o the_o equatour_n have_v continue_v the_o same_o with_o the_o pole_n of_o the_o world_n but_o supercilious_o as_o the_o manner_n of_o most_o critic_n be_v rather_o out_o of_o conjecture_n then_o reason_n to_o tax_v the_o common_a opinion_n of_o manifest_a error_n and_o absurdity_n the_o ground_n and_o original_a of_o this_o doubt_n grow_v out_o of_o the_o observation_n of_o the_o fix_a star_n which_o have_v since_o the_o time_n of_o the_o ancient_n be_v find_v to_o be_v move_v out_o of_o their_o place_n or_o at_o least_o not_o to_o retain_v the_o same_o point_n in_o the_o period_n of_o the_o sun_n motion_n the_o chief_a instance_n be_v take_v from_o the_o star_n in_o the_o horn_n of_o aries_n which_o in_o hyparchus_n time_n which_o live_v above_o 60_o year_n before_o ptolemy_n be_v observe_v to_o be_v not_o much_o distant_a from_o the_o equinoxe_n and_o before_o he_o in_o the_o very_a point_n itself_o but_o in_o our_o time_n remove_v about_o 28_o degree_n off_o also_o it_o be_v observe_v in_o the_o cynosure_n or_o polestar_n that_o in_o hyparchus_n time_n it_o be_v distant_a from_o the_o pole_n about_o 12_o degree_n which_o we_o find_v in_o our_o time_n to_o be_v scarce_o 3_o degree_n distant_a to_o salve_v this_o appearance_n ptolemy_n invent_v a_o slow_a motion_n of_o the_o starry_a heaven_n or_o firmament_n whereby_o the_o fix_a star_n may_v be_v remove_v far_o off_o from_o the_o equinoctial_a point_n in_o the_o ecliptic_a whence_o of_o a_o consequence_n the_o polestar_n shall_v not_o keep_v the_o same_o position_n in_o respect_n of_o the_o pole_n itself_o but_o vary_v his_o site_n according_a to_o the_o motion_n which_o opinion_n have_v a_o long_a time_n pass_v without_o contradiction_n till_o copernicus_n out_o of_o new_a ground_n seek_v for_o this_o motion_n in_o the_o earth_n to_o which_o he_o assign_v no_o less_o than_o three_o motion_n since_o copernicus_n arise_v joseph_n scaliger_n who_o contradict_v the_o common_a receive_a ground_n and_o yet_o for_o aught_o i_o see_v not_o trust_v to_o the_o supposition_n of_o copernicus_n will_v bring_v in_o another_o opinion_n to_o wit_n that_o the_o star_n of_o the_o firmament_n be_v not_o move_v from_o the_o point_n of_o the_o equinoxe_n but_o rather_o that_o the_o point_n be_v carry_v away_o from_o the_o star_n the_o decision_n of_o this_o point_n i_o dare_v not_o undertake_v better_a become_v the_o learned_a and_o industrious_a endeavour_n of_o our_o worthy_a professor_n m._n doctor_n bainbrigge_n and_o m._n henry_n brigges_n as_o best_o suit_v with_o their_o learning_n and_o profession_n ipse_fw-la semipaganus_fw-la ad_fw-la sacra_fw-la vatum_fw-la carmen_fw-la offero_fw-la nostrum_fw-la nevertheless_o as_o a_o learner_n for_o my_o own_o satisfaction_n i_o will_v willing_o enter_v a_o little_a into_o conference_n with_o this_o great_a and_o admire_a oracle_n joseph_n scaliger_n to_o sound_v the_o certainty_n of_o his_o ground_n that_o the_o polestar_n say_v he_o be_v so_o far_o distant_a from_o the_o pole_n as_o 12_o degree_n be_v no_o true_a observation_n but_o the_o error_n of_o hyparchus_n who_o afterward_o by_o his_o authority_n deceive_v ptolemy_n and_o he_o posterity_n the_o reason_n he_o allege_v be_v 1_o because_o eudoxus_n which_o be_v more_o ancient_a than_o hyparchus_n observe_v the_o same_o star_n to_o be_v in_o no_o other_o place_n then_o where_o now_o it_o be_v 2_o because_o that_o great_a light_n of_o astronomy_n copernicus_n perceive_v the_o equinox_n and_o solstitial_a point_n to_o be_v move_v be_v enforce_v to_o invent_v other_o ground_n but_o because_o his_o demonstration_n depend_v only_o on_o the_o apparence_n he_o seek_v out_o this_o effect_n in_o the_o motion_n of_o the_o earth_n if_o it_o be_v manner_n to_o oppose_v so_o great_a a_o scholar_n as_o joseph_n scaliger_n i_o will_v ask_v a_o few_o question_n why_o we_o shall_v not_o credit_n the_o observation_n of_o hyparchus_n ptolemy_n and_o all_o posterity_n as_o well_o as_o of_o eudoxus_n since_o antiquity_n without_o consent_n &_o approbation_n be_v no_o great_a argument_n of_o truth_n nevertheless_o if_o the_o matter_n be_v well_o examine_v we_o shall_v perhaps_o find_v antiquity_n to_o be_v more_o firm_a on_o our_o side_n the_o same_o reason_n as_o i_o take_v it_o may_v be_v give_v for_o the_o star_n in_o the_o horn_n of_o aries_n as_o of_o the_o polestar_n because_o all_o the_o fixt-starre_n by_o the_o consent_n of_o all_o be_v imagine_v to_o keep_v the_o same_o uniform_a site_n among_o themselves_o in_o such_o sort_n as_o the_o vary_a of_o some_o will_v disorder_v all_o the_o rest_n at_o least_o argue_v the_o like_a variety_n or_o change_n of_o all_o now_o to_o prove_v the_o star_n of_o aries_n to_o have_v be_v vary_a many_o of_o the_o ancient_n as_o master_n hues_n have_v observe_v live_v in_o diverse_a time_n have_v confirm_v the_o first_o star_n of_o aries_n which_o in_o the_o time_n of_o meto_fw-la atticus_n be_v observe_v in_o the_o vernal_a intersection_n in_o the_o time_n of_o thales_n milesius_n be_v before_o it_o 2_o degree_n in_o tymocharis_n age_n it_o be_v after_o it_o 2_o degree_n 24_o minute_n in_o hipparchus_n time_n 4_o degree_n 40_o minute_n in_o abbumazars_n 17_o degree_n 50_o minute_n in_o albarens_n 18_o degree_n 10_o minute_n in_o arzachels_n 19_o deg._n 37_o min._n in_o alphonsus_n his_o time_n 23_o deg._n 48_o min_n in_o the_o time_n of_o copernicus_n and_o rheticus_n 27_o degree_n 21._o min._n in_o our_o time_n about_o 28._o against_o all_o these_o testimony_n if_o we_o shall_v oppose_v the_o testimony_n of_o eudoxus_n and_o sca●iger_n we_o shall_v be_v think_v very_o partial_a to_o prefer_v they_o before_o the_o consent_n of_o antiquity_n eudoxus_n though_o very_a ancient_n be_v but_o one_o and_o the_o other_o one_o of_o the_o last_o if_o any_o shall_v object_v that_o eudoxus_n speak_v only_o of_o the_o polestar_n and_o not_o of_o the_o star_n in_o the_o horn_n of_o aries_n i_o answer_v as_o before_o that_o the_o same_o reason_n be_v to_o be_v
be_v imagine_v two_o circle_n on_o the_o earth_n which_o we_o also_o call_v polar_a and_o if_o we_o believe_v gilbert_n with_o other_o magnetical_a philosopher_n they_o be_v primary_o in_o the_o earth_n as_o that_o which_o be_v the_o true_a subject_n of_o diurnal_a motion_n these_o circle_n thus_o describe_v by_o the_o pole_n of_o the_o ecliptic_a must_v needs_o challenge_v the_o same_o distance_n from_o the_o pole_n which_o the_o pole_n of_o the_o ecliptic_a have_v to_o wit_n 23._o degree_n and_o 30_o minute_n the_o greek_n have_v take_v the_o polar_a circle_n in_o another_o sense_n then_o the_o latin_n for_o by_o these_o polar_a circle_n as_o it_o appear_v by_o proclus_n and_o cleomedes_n they_o understand_v not_o such_o circle_n as_o be_v describe_v by_o the_o pole_n of_o the_o zodiac_n but_o two_o other_o circle_n whereof_o the_o one_o be_v great_a of_o all_o the_o parallel_n which_o always_o appear_v above_o our_o horizon_n the_o other_o be_v the_o great_a of_o all_o those_o parallel_n which_o lie_v hide_v in_o our_o horizon_n perpetual_o the_o reason_n why_o the_o grecian_n take_v it_o in_o this_o sense_n be_v because_o by_o these_o circle_n they_o can_v know_v and_o distinguish_v those_o star_n which_o always_o be_v see_v and_o never_o set_v as_o those_o which_o be_v comprehend_v of_o the_o arctic_a circle_n from_o those_o which_o always_o lie_v hide_v and_o never_o rise_v as_o such_o as_o the_o antarctic_a contain_v whence_o it_o manifest_o appear_v that_o the_o two_o polar_a circle_n as_o they_o be_v take_v of_o the_o grecian_n in_o all_o region_n be_v not_o of_o the_o same_o quantity_n &_o greatness_n but_o be_v great_a in_o oblique_a sphere_n then_o in_o a_o right_n but_o our_o polar_a circle_n be_v at_o all_o place_n alike_o in_o their_o quantity_n of_o these_o the_o one_o term_v arctic_n in_o the_o earth_n pass_v by_o islandia_n the_o top_n of_o norway_n and_o finland_n with_o many_o adjoin_v land_n and_o the_o southern_a part_n of_o green-land_n as_o may_v appear_v by_o our_o ordinary_a geographical_a map_n the_o other_o polar_a circle_n call_v antarctic_a pass_v through_o the_o south_n part_n of_o the_o world_n as_o yet_o undiscovered_a except_o for_o some_o few_o parcel_n as_o terra_fw-la del_fw-it feugo_n and_o psiitacorum_fw-la regio_fw-la with_o somewhat_o more_o late_o discover_v by_o the_o spaniard_n the_o chief_a use_n as_o well_o of_o these_o as_o other_o parallel_n be_v to_o distinguish_v the_o zone_n and_o climate_n in_o the_o globe_n whereof_o we_o shall_v have_v occasion_n to_o treat_v hereafter_o 21_o the_o nameless_a parallel_n be_v such_o as_o be_v not_o know_v by_o special_a name_n nor_o of_o so_o great_a use_n in_o geographie_n these_o nameless_a parallel_n may_v be_v well_o understand_v by_o that_o which_o we_o have_v above_o speak_v for_o howsoever_o they_o be_v not_o call_v by_o particular_a and_o special_a name_n yet_o be_v they_o all_o of_o the_o same_o nature_n all_o these_o parallel_n beside_o the_o equatour_n though_o infinite_a in_o number_n may_v notwithstanding_o in_o the_o sphere_n be_v reduce_v to_o the_o number_n of_o the_o meridian_n because_o they_o be_v draw_v through_o the_o opposite_a point_n of_o the_o meridian_n semicircle_n so_o that_o we_o may_v account_v 180_o but_o yet_o there_o be_v not_o so_o many_o paint_v on_o the_o face_n of_o the_o artificial_a globe_n wherefore_o ptolemy_n with_o the_o ancient_n have_v distinguish_v the_o parallel_n on_o both_o side_n north_n and_o south_n begin_v from_o the_o equatour_n at_o such_o a_o distance_n that_o where_o the_o day_n shall_v increase_v one_o quarter_n of_o a_o hour_n a_o new_a parallel_n shall_v be_v place_v so_o that_o the_o long_a day_n of_o one_o parallel_n shall_v exceed_v the_o long_a day_n of_o another_o parallel_n by_o one_o quarter_n of_o a_o hour_n every_o one_o of_o these_o parallel_n be_v suppose_v to_o be_v divide_v into_o 360_o degree_n as_o all_o the_o rest_n of_o the_o other_o circle_n yet_o be_v we_o to_o note_v that_o the_o degree_n and_o part_n of_o a_o great_a circle_n be_v great_a of_o the_o lesser_a less_o according_a to_o the_o proportion_n of_o the_o say_a circle_n the_o same_o have_v the_o proportion_n that_o a_o great_a circle_n have_v to_o a_o less_o so_o that_o the_o same_o degree_n and_o part_n of_o a_o quarter_n circle_n to_o the_o degree_n and_o part_n of_o the_o lesser_a as_o may_v be_v gather_v from_o the_o first_o proposition_n of_o the_o second_o book_n of_o theodosius_n now_o to_o know_v right_o this_o proportion_n we_o must_v first_o find_v out_o the_o summary_n declination_n for_o every_o region_n which_o be_v once_o find_v we_o may_v proceed_v in_o this_o manner_n by_o the_o doctrine_n of_o triangle_n 1_o let_v the_o sign_n of_o the_o compliment_n of_o the_o declination_n of_o the_o lesser_a circle_n be_v multiply_v by_o the_o whole_a circle_n and_o the_o product_n be_v divide_v by_o the_o total_a sign_n there_o will_v arise_v the_o number_n of_o degree_n of_o the_o lesser_a circle_n such_o as_o whereof_o the_o great_a consist_v the_o reason_n hereof_o be_v show_v in_o geometry_n and_o therefore_o need_v we_o not_o to_o insert_v a_o demonstration_n for_o there_o we_o learn_v that_o as_o the_o total_a ●inge_n be_v to_o the_o sign_n of_o the_o compliment_n of_o the_o declination_n of_o any_o parallel_n so_o be_v the_o periphery_a of_o the_o great_a circle_n to_o the_o periphery_a of_o the_o parallel_n as_o for_o example_n if_o we_o will_v know_v what_o proportion_n the_o equatour_n have_v to_o the_o parallel_n which_o pass_v by_o the_o vertical_a point_n of_o rome_n who_o declination_n be_v about_o 42_o degree_n i_o multiply_v the_o sign_n of_o the_o compliment_n of_o this_o declination_n that_o be_v the_o sign_n of_o 48_o degree_n to_o wit_n 74314_o by_o 360_o the_o product_n whereof_o be_v 26753040_o which_o i_o divide_v again_o by_o 100000_o and_o find_v 267_o degree_n and_o ½_o whence_o i_o gather_v that_o the_o equatour_n to_o the_o parallel_n of_o rome_n or_o a_o degree_n of_o the_o equatour_n to_o a_o degree_n of_o the_o parallel_n of_o rome_n have_v the_o same_o proportion_n that_o that_o 360_o have_v to_o 276_o ½_o which_o be_v the_o same_o that_o 4_o have_v to_o 3._o 22_o hitherto_o have_v we_o speak_v of_o the_o absolute_a circle_n such_o as_o be_v the_o meridian_n and_o parallel_n we_o be_v to_o treat_v in_o the_o last_o place_n of_o a_o relative_n circle_n which_o be_v conceive_v in_o respect_n to_o our_o sight_n this_o circle_n be_v call_v the_o horizon_n 23_o the_o horizon_n be_v a_o circle_n which_o divide_v the_o upper_a and_o visible_a part_n of_o the_o terrestrial_a globe_n from_o the_o low_a and_o invisible_a the_o name_n of_o the_o horizon_n be_v take_v from_o the_o bound_a or_o termination_n of_o the_o sight_n because_o it_o be_v a_o circle_n comprehend_v all_o that_o space_n which_o be_v visible_a of_o we_o distinguish_v it_o from_o the_o rest_n which_o lurk_v invisible_a as_o if_o a_o man_n shall_v be_v place_v in_o a_o high_a and_o eminent_a place_n of_o the_o earth_n and_o shall_v look_v round_o about_o he_o every_o way_n to_o the_o east_n west_n north_n and_o south_n he_o will_v seem_v to_o see_v the_o heaven_n on_o every_o side_n to_o concur_v with_o the_o earth_n so_o that_o beyond_o it_o can_v be_v see_v nor_o heaven_n nor_o earth_n which_o concurrence_n of_o the_o heaven_n with_o the_o earth_n will_v describe_v unto_o we_o the_o horizontall_a circle_n for_o that_o place_n assign_v but_o here_o we_o be_v to_o note_v that_o the_o horizon_n be_v two_o fold_n either_o the_o rational_a or_o sensible_a horizon_n the_o rational_a precise_o divide_v the_o globe_n into_o two_o equal_a part_n but_o the_o sensible_a or_o apparent_a horizon_n be_v no_o other_o than_o that_o circle_n in_o the_o earth_n which_o be_v design_v out_o by_o the_o sight_n from_o which_o the_o name_n seem_v to_o be_v derive_v this_o sensible_a horizon_n differ_v from_o the_o rational_a diverse_a way_n first_o because_o the_o rational_a divide_v the_o whole_a sphere_n into_o two_o equal_a part_n but_o the_o sensible_a into_o two_o unequal_a part_n second_o because_o the_o rational_a be_v always_o certain_a and_o the_o same_o in_o the_o same_o place_n and_o of_o alike_a greatness_n whereas_o the_o other_o be_v great_a or_o lesser_a for_o the_o condition_n of_o the_o place_n or_o sight_n for_o the_o semidiameter_n of_o the_o rational_a be_v the_o same_o with_o the_o semidiameter_n of_o the_o earth_n but_o the_o semidiameter_n of_o the_o other_o seldom_o or_o never_o exceed_v 60_o mile_n on_o the_o earth_n three_o because_o the_o rational_a horizon_n pass_v by_o the_o centre_n of_o the_o earth_n whereas_o the_o sensible_a touch_v only_o the_o surface_n of_o it_o in_o that_o point_n where_o the_o inhabitant_n stand_v all_o which_o difference_n may_v be_v
that_o it_o incline_v no_o more_o on_o the_o one_o side_n then_o on_o the_o other_o but_o lie_v even_o as_o we_o see_v in_o the_o surface_n of_o the_o water_n when_o it_o rest_v quiet_a without_o motion_n for_o howsoever_o the_o water_n so_o rest_v as_o we_o have_v former_o demonstrate_v be_v always_o spherical_a yet_o in_o a_o small_a distance_n in_o the_o sensible_a horizon_n it_o may_v to_o sense_n be_v represent_v by_o a_o plain_a 25_o so_o much_o for_o the_o invention_n the_o distinction_n of_o the_o horizon_n be_v into_o three_o sort_n for_o either_o it_o be_v a_o right_a horizon_n or_o oblique_a or_o parallel_v 26_o a_o right_a horizon_n be_v that_o which_o with_o the_o equator_fw-la make_v right_a angle_n this_o distinction_n grow_v natural_o out_o of_o the_o respect_n of_o the_o horizon_n to_o the_o equatour_n for_o since_o the_o equatour_n be_v one_o and_o the_o selfsame_o immovable_a circle_n and_o the_o horizon_n be_v mutable_a and_o change_v according_a to_o his_o diverse_a vertical_a point_n they_o can_v always_o keep_v the_o same_o situation_n in_o regard_n one_o of_o the_o other_o this_o they_o have_v reduce_v into_o three_o head_n for_o either_o it_o be_v right_o or_o oblique_a or_o parallel_n the_o right_n be_v so_o call_v from_o the_o right_a angle_n which_o the_o horizon_n make_v with_o the_o equator_fw-la wherein_o the_o two_o pole_n be_v always_o couch_v in_o the_o horizon_n and_o the_o equator_fw-la pass_v direct_o over_o their_o head_n as_o be_v plain_a to_o be_v see_v in_o this_o figure_n here_o affix_v such_o a_o horizon_n have_v these_o inhabitant_n which_o dwell_v direct_o under_o the_o equinoctial_a line_n in_o the_o very_a midst_n of_o the_o torrid_a zone_n such_o a_o horizon_n agree_v to_o a_o great_a part_n of_o africa_n to_o a_o part_n of_o peru_n in_o america_n also_o to_o most_o of_o the_o molucco_n land_n the_o land_n of_o taprobana_n and_o s._n thomas_n but_o no_o part_n of_o europe_n be_v subject_a to_o such_o a_o right_a horizon_n the_o cause_n of_o this_o variation_n of_o orison_n be_v the_o natural_a roundness_n of_o the_o earth_n for_o the_o earth_n be_v suppose_v to_o be_v spherical_a as_o we_o have_v before_o demonstrate_v it_o must_v of_o necessity_n follow_v that_o the_o site_n of_o the_o pole_n shall_v be_v change_v according_a to_o the_o diversity_n of_o the_o place_n also_o because_o wheresoever_o we_o be_v place_v on_o the_o earth_n as_o we_o have_v show_v all_o impediment_n of_o the_o sight_n as_o mountain_n and_o valley_n put_v apart_o we_o can_v behold_v the_o hemisphere_n of_o the_o heaven_n which_o middle_a part_n be_v set_v down_o be_v divide_v from_o the_o part_n unseen_a by_o the_o horizon_n it_o must_v needs_o be_v that_o either_o both_o the_o pole_n must_v be_v in_o the_o horizon_n and_o so_o make_v a_o right_a sphere_n or_o at_o least_o one_o must_v be_v above_o and_o see_v and_o the_o other_o hide_v from_o the_o sight_n and_o so_o much_o as_o one_o be_v elevate_v above_o the_o horizon_n must_v the_o other_o be_v couch_v under_o it_o for_o otherwise_o we_o shall_v see_v more_o or_o less_o than_o a_o precise_a moiety_n or_o half_a of_o the_o heaven_n since_o the_o pole_n differ_v one_o from_o the_o other_o the_o half_a of_o the_o whole_a heaven_n to_o wit_n by_o the_o diameter_n of_o the_o world_n 27_o a_o oblique_a horizon_n be_v that_o which_o with_o the_o equator_fw-la make_v oblique_a angle_n those_o inhabitant_n be_v say_v to_o have_v a_o oblique_a horizon_n who_o site_n and_o position_n decline_v somewhat_o from_o the_o equator_fw-la either_o to_o the_o north_n or_o south_n towards_o either_o pole_n yet_o so_o that_o the_o pole_n be_v not_o elevate_v so_o high_a as_o 90_o degree_n for_o than_o it_o become_v a_o parallel_n horizon_n as_o we_o shall_v show_v in_o the_o next_o the_o representation_n of_o such_o a_o oblique_a sphere_n may_v be_v see_v in_o this_o diagram_n wherein_o the_o horizon_n cut_v the_o equatour_n at_o oblique_a angle_n whence_o it_o be_v call_v oblique_a clavius_n seem_v to_o add_v another_o reason_n of_o this_o appellation_n to_o wit_n because_o in_o such_o a_o horizon_n one_o pole_n be_v always_o elevate_v above_o and_o the_o other_o hide_v but_o this_o reason_n seem_v too_o general_a as_o that_o which_o agree_v not_o only_o to_o a_o oblique_a but_o also_o to_o a_o parallel_n sphere_n from_o this_o horizon_n by_o johannes_n de_fw-fr sucrobosco_n the_o sphere_n be_v call_v artificial_a because_o as_o clavius_n conjecture_n it_o be_v variable_a and_o do_v natural_o divide_v the_o globe_n for_o whereas_o the_o horizon_n of_o the_o right_a sphere_n pass_v by_o either_o pole_n it_o seem_v by_o itself_o as_o it_o be_v naturally_n and_o direct_o to_o divide_v the_o sphere_n and_o this_o division_n be_v no_o way_n variable_a as_o that_o it_o shall_v be_v more_o or_o less_o right_o but_o contrariwise_o in_o the_o oblique_a sphere_n since_o one_o pole_n be_v place_v above_o and_o the_o other_o beneath_o it_o seem_v to_o be_v place_v out_o of_o his_o natural_a site_n and_o position_n moreover_o this_o oblique_a horizon_n be_v variable_a according_a to_o the_o diversity_n of_o habitation_n so_o that_o it_o may_v be_v to_o some_o more_o to_o other_o less_o oblique_a for_o so_o much_o the_o more_o oblique_a must_v it_o be_v by_o how_o much_o the_o near_o it_o be_v place_v to_o the_o pole_n the_o inhabitant_n of_o a_o oblique_a sphere_n be_v such_o as_o seat_v betwixt_o the_o equator_fw-la and_o either_o of_o the_o tropic_n of_o cancer_n and_o capricorn_n or_o such_o as_o dwell_v betwixt_o either_o tropic_n and_o the_o polar-circle_n 28_o a_o parallel_n horizon_n be_v that_o which_o lie_v parallel_n to_o the_o equator_fw-la make_v no_o angle_n at_o all_o with_o it_o such_o a_o kind_n of_o horizon_n those_o inhabitant_n be_v say_v to_o have_v which_o be_v include_v betwixt_o the_o pole_n of_o the_o world_n and_o the_o polar_a circle_n who_o horizon_n cut_v not_o the_o equatour_n at_o any_o angle_n at_o all_o either_o right_o or_o oblique_a but_o lie_v parallel_n unto_o it_o as_o we_o see_v in_o this_o figure_n here_o set_v down_o some_o have_v reduce_v this_o kind_n of_o sphere_n to_o a_o oblique_a horizon_n in_o regard_n that_o in_o this_o site_n our_o pole_n be_v elevate_v above_o the_o horizon_n and_o the_o other_o depress_v under_o in_o which_o opinion_n clavius_n seem_v to_o second_o johannes_n de_fw-fr sacrobosco_n on_o who_o he_o comment_v but_o this_o be_v ridiculous_a because_o the_o sphere_n be_v call_v right_o or_o oblique_a as_o we_o have_v teach_v from_o the_o angle_n which_o the_o horizon_n make_v with_o the_o equator_fw-la wherefore_o that_o horizon_n which_o make_v no_o angle_n at_o all_o can_v be_v call_v either_o right_a or_o oblique_a but_o be_v necessary_o distinguish_v from_o either_o on_o this_o distinction_n of_o orison_n be_v ground_v the_o division_n of_o the_o inhabitant_n of_o the_o earth_n according_a to_o three_o kind_n of_o sphere_n of_o who_o accident_n and_o propriety_n we_o shall_v more_o full_o treat_v hereafter_o in_o the_o dictinction_n of_o the_o part_n and_o inhabitant_n of_o the_o terrestrial_a sphere_n because_o such_o propriety_n can_v so_o well_o be_v teach_v without_o the_o knowledge_n of_o the_o artificial_a sphere_n who_o nature_n and_o fabric_n we_o shall_v labour_v god_n will_v in_o our_o next_o chapter_n to_o unfold_v chap._n vii_o of_o the_o artificial_a representation_n of_o the_o terrestrial_a sphere_n 1_o have_v hitherto_o treat_v of_o the_o terrestrial_a sphere_n as_o it_o be_v natural_a or_o real_a we_o be_v in_o the_o next_o place_n to_o speak_v of_o the_o artificial_a globe_n the_o artificial_a globe_n be_v a_o expression_n or_o imitation_n of_o the_o sphere_n of_o the_o earth_n 2_o the_o artificial_a imitation_n of_o the_o earth_n be_v either_o common_a or_o magnetical_a the_o common_a be_v again_o twofold_a either_o in_o the_o globe_n or_o in_o the_o geographical_a map_n or_o table_n 3_o the_o geographical_a globe_n be_v a_o round_a solid_a body_n adorn_v with_o lineament_n &_o picture_n serve_v for_o the_o use_n of_o geographer_n who_o be_v the_o first_o inuentour_n of_o this_o artificial_a globe_n it_o be_v not_o evident_a some_o think_v with_o pliny_n that_o it_o be_v find_v out_o by_o atlas_n and_o carry_v into_o greece_n by_o hercules_n other_o have_v ascribe_v it_o to_o anaximander_n milesius_n some_o to_o musaeus_n as_o diogenes_n laërtius_n other_o to_o other_o author_n among_o who_o architas_n tarentinus_n be_v not_o forget_v as_o one_o that_o be_v esteem_v the_o rare_a mathematician_n of_o his_o time_n but_o all_o these_o be_v outstripped_n by_o archimedes_n the_o syracusan_a mathematician_n who_o be_v say_v to_o have_v compose_v a_o sphere_n of_o transparent_a glass_n represent_v unto_o the_o life_n the_o whole_a frame_n of_o the_o heaven_n wherein_o the_o sun_n
southpart_n be_v diminish_v the_o reason_n be_v because_o the_o magnet_n have_v eminent_o in_o it_o the_o circle_n which_o be_v in_o the_o earth_n be_v separate_v or_o divide_v by_o a_o middle_a line_n or_o aequator_fw-la from_o which_o middle_a space_n the_o virtue_n be_v convey_v towards_o either_o pole_n as_o we_o have_v before_o show_v now_o any_o part_n be_v take_v away_o from_o the_o north_n or_o south_n part_n this_o aequator_fw-la or_o middle_a line_n be_v remove_v from_o his_o former_a place_n into_o the_o midst_n of_o the_o portion_n which_o be_v leave_v and_o so_o consequent_o both_o part_n be_v less_o than_o before_o for_o although_o these_o two_o end_n seem_v opposite_a yet_o be_v one_o comfort_v and_o increase_v by_o the_o other_o 9_o of_o the_o motion_n of_o coition_n and_o direction_n we_o have_v handle_v it_o follow_v that_o we_o speak_v of_o the_o motion_n of_o the_o second_o order_n to_o wit_n variation_n and_o declination_n 10_o variation_n be_v the_o deviation_n or_o turn_v aside_o of_o the_o directory_n magnetical_a needle_n from_o the_o true_a point_n of_o north_n or_o the_o true_a meridian_n towards_o east_n or_o west_n in_o the_o discourse_n immediate_o go_v before_o have_v treat_v of_o the_o magnetical_a body_n we_o have_v imagine_v it_o to_o be_v true_a and_o point_v out_o the_o true_a north_n and_o south_n point_v of_o the_o terrestrial_a globe_n which_o certain_o will_v be_v so_o if_o the_o substance_n of_o the_o earthly_a globe_n be_v in_o all_o part_n and_o place_n alike_o equal_o partake_v the_o magnetical_a virtue_n as_o some_o round_a loadstone_n neither_o shall_v we_o find_v any_o variation_n or_o deviation_n at_o all_o from_o the_o true_a meridian_n of_o the_o earth_n but_o because_o the_o terrestrial_a globe_n be_v find_v by_o navigatour_n to_o be_v unequal_o mix_v with_o many_o material_n which_o differ_v from_o the_o magnetical_a substance_n as_o furnish_v with_o rocky_a hill_n or_o large_a valley_n continent_n &_o land_n some_o place_n adorn_v with_o store_n of_o iron_n mimes_n rock_n of_o loadstone_n some_o altogether_o naked_a and_o destitute_a of_o these_o implement_n it_o must_v needs_o fall_v out_o that_o the_o magnetical_a needle_n and_o compass_n direct_v and_o conform_v by_o the_o magnetical_a nature_n of_o the_o earth_n can_v always_o set_v themselves_o upon_o the_o true_a meridian_n that_o pass_v right_o along_o to_o the_o pole_n of_o the_o terrestrial_a globe_n but_o be_v force_v and_o divert_v towards_o some_o eminent_a and_o vigorous_a magnetical_a part_n whereby_o the_o meridian_n point_v out_o by_o the_o magnet_n must_v needs_o vary_v and_o decline_v from_o the_o true_a meridian_n of_o the_o earth_n certain_a part_n or_o degree_n in_o the_o horizontall_a circle_n which_o diversion_n we_o call_v the_o variation_n of_o the_o compass_n so_o tha●_n variation_n so_o far_o as_o it_o be_v observe_v by_o the_o compass_n be_v define_v to_o be_v a_o arch_n of_o the_o horizon_n intercept_v betwixt_o the_o common_a intersection_n with_o the_o true_a meridian_n and_o his_o deviation_n this_o effect_n proceed_v from_o the_o inequality_n of_o magnetical_a virtue_n scatter_v in_o the_o earth_n some_o have_v ascribe_v to_o certain_a rock_n or_o mountain_n of_o loadstone_n distant_a some_o degree_n from_o the_o true_a pole_n of_o the_o world_n which_o rock_n they_o have_v term_v the_o pole_n of_o the_o loadstone_n as_o that_o whereunto_o the_o magnet_n shall_v dispose_v and_o conform_v itself_o which_o conceit_n long_o ago_o invent_v be_v afterward_o enlarge_v and_o trim_v over_o by_o fracastorius_fw-la but_o this_o opinion_n be_v a_o mere_a conjecture_n without_o ground_n for_o what_o navigatour_n can_v he_o ever_o produce_v that_o be_v eye-witness_n of_o this_o mystery_n or_o how_o can_v he_o induce_v any_o judicious_a man_n to_o believe_v that_o which_o himself_o nor_o any_o to_o his_o knowledge_n ever_o see_v the_o relation_n that_o the_o friar_n of_o noruegia_n make_v of_o the_o friar_n of_o oxford_n discovery_n record_v by_o james_n cnoien_n in_o the_o book_n of_o his_o travel_n where_o he_o speak_v of_o these_o matter_n be_v common_o reject_v as_o fabulous_a and_o ridiculous_a for_o have_v there_o be_v any_o such_o matter_n it_o be_v likely_a he_o will_v have_v leave_v some_o monument_n of_o it_o in_o the_o record_n of_o his_o own_o university_n rather_o than_o to_o have_v communicate_v it_o to_o a_o friend_n as_o far_o off_o as_o noruegia_n moreover_o the_o disproportion_n in_o the_o degree_n of_o variation_n in_o place_n of_o equal_a distance_n will_v easy_o correct_v this_o error_n as_o we_o shall_v show_v in_o due_a place_n more_o vain_a and_o frivolous_a be_v all_o the_o opinion_n of_o other_o concern_v this_o magnetical_a variation_n as_o that_o of_o cortesius_n of_o a_o certain_a motive_n virtue_n or_o power_n without_o the_o heaven_n that_o of_o marsilius_n fici●us_n of_o a_o star_n in_o the_o bear_n that_o of_o petrus_n peregrinus_n of_o the_o pole_n of_o the_o world_n that_o of_o cardan_n of_o the_o rise_n of_o a_o star_n in_o the_o tail_n of_o the_o bear_n that_o of_o bestardus_fw-la gallus_n of_o the_o pole_n of_o the_o zodiac_n that_o of_o livius_n sanutus_n of_o a_o certain_a magnetical_a meridian_n of_o francis_n maurolycus_n of_o a_o magnetical_a island_n of_o scaliger_n of_o the_o heaven_n and_o mountain_n of_o robert_n norman_n of_o a_o respective_a point_n or_o place_n all_o which_o writer_n seek_v the_o cause_n of_o this_o variation_n have_v find_v it_o no_o further_o off_o then_o their_o own_o fancy_n more_o probable_a by_o far_o and_o consonant_a to_o experience_n shall_v we_o find_v their_o opinion_n which_o will_v have_v the_o cause_n of_o this_o variation_n be_v in_o the_o inequality_n of_o the_o magnetical_a eminency_n scatter_v in_o the_o earth_n this_o inequality_n may_v be_v perceive_v to_o be_v twofold_a 1_o in_o that_o some_o part_n of_o the_o earth_n have_v the_o magnetical_a mineral_n more_o than_o other_o part_n for_o as_o much_o as_o the_o superficies_n of_o some_o part_n be_v solid_a earth_n as_o in_o great_a continent_n 2_o because_o although_o the_o whole_a globe_n of_o the_o earth_n be_v suppose_v to_o be_v magnetical_a especial_o in_o the_o internal_a and_o profound_a part_n yet_o the_o magnetical_a virtue_n belong_v to_o those_o part_n be_v not_o always_o so_o vigorous_a and_o eminent_a as_o in_o some_o other_o part_n as_o we_o see_v one_o loadstone_n to_o be_v strong_a or_o weak_a than_o another_o in_o virtue_n and_o power_n but_o of_o those_o two_o the_o former_a be_v more_o remarkable_a which_o may_v be_v show_v by_o experience_n of_o such_o as_o have_v sail_v along_o many_o seacoa-stes_a for_o if_o a_o sea-iourney_n be_v make_v from_o the_o shore_n of_o guinea_n by_o cape_n verde_n by_o the_o canary_n land_n the_o bound_n of_o the_o kingdom_n of_o morocco_n from_o thence_o by_o the_o confine_n of_o spain_n france_n england_n belgia_n germany_n denmark_n noruegia_n we_o shall_v find_v towards_o the_o east_n great_a and_o ample_a continent_n but_o contrariwise_o in_o the_o west_n a_o huge_a &_o vast_a ocean_n which_o be_v a_o reason_n that_o the_o magnetical_a needle_n will_v vary_v from_o the_o true_a point_n of_o the_o north_n and_o incline_v rather_o to_o the_o east_n because_o it_o be_v more_o probable_a that_o these_o continent_n and_o land_n shall_v partake_v more_o of_o this_o magnetical_a mineral_n than_o the_o part_n cover_v with_o the_o sea_n in_o which_o these_o magnetical_a body_n may_v be_v scarce_a or_o at_o the_o least_o deep_a bury_v and_o not_o so_o forceable_a on_o the_o contrary_a part_n if_o we_o sail_v by_o the_o american_n coast_n we_o shall_v rather_o find_v the_o variation_n to_o be_v westward_o as_o for_o example_n if_o a_o voyage_n be_v make_v from_o the_o confine_n of_o terra_n florida_n by_o virginia_n norumbega_n and_o so_o northward_o because_o the_o land_n but_v on_o the_o west_n but_o in_o the_o middle_a space_n near_o the_o canary_n land_n the_o directory_n needle_n respect_v the_o true_a pole_n of_o the_o terrestrial_a globe_n or_o at_o least_o show_v very_o little_a variation_n not_o for_o the_o agreement_n of_o the_o magnetical_a meridian_n of_o that_o place_n with_o the_o true_a by_o reason_n of_o the_o rock_n of_o loadstone_n as_o some_o have_v imagine_v because_o in_o the_o same_o meridian_n pass_v by_o brasile_n it_o fall_v out_o far_o otherwise_o but_o rather_o because_o of_o the_o terrestrial_a continent_n on_o both_o side_n which_o almost_o divide_v the_o magnetical_a vigour_n so_o that_o the_o magnetical_a needle_n be_v not_o force_v one_o way_n more_o than_o another_o the_o manner_n whereof_o we_o shall_v find_v in_o d._n gilbert_n express_v in_o a_o apt_a figure_n to_o who_o for_o further_a satisfaction_n i_o refer_v the_o reader_n 1_o the_o magnetical_a variation_n have_v no_o certain_a pole_n in_o the_o terrestrial_a globe_n it_o be_v but_o a_o common_a
it_o will_v lift_v up_o much_o great_a and_o heavy_a weight_n which_o experiment_n be_v sufficient_a to_o confirm_v our_o assertion_n that_o this_o declination_n be_v cause_v only_o by_o the_o disponent_fw-la and_o conversive_a virtue_n of_o this_o terrestrial_a globe_n 3_o the_o magnetical_a declination_n have_v a_o variation_n that_o in_o the_o magnetical_a direction_n there_o be_v find_v a_o irregularity_n or_o variation_n have_v be_v sufficient_o warrant_v by_o artificer_n instrument_n the_o like_a irregularity_n be_v in_o the_o motion_n of_o declination_n which_o make_v magnetical_a instrument_n and_o experiment_n more_o subject_a to_o error_n and_o imperfection_n the_o variation_n of_o declination_n be_v define_v to_o be_v a_o arch_n of_o the_o magnetical_a meridian_n betwixt_o the_o true_a and_o apparent_a declination_n the_o cause_n hereof_o be_v only_o to_o be_v seek_v in_o the_o unequal_a temper_n of_o magnetical_a part_n in_o the_o earth_n for_o as_o in_o the_o direction_n magnetical_a body_n be_v draw_v and_o wrest_v from_o the_o true_a meridian_n by_o the_o eminent_a and_o more_o vigorous_a force_n of_o the_o earth_n one_o side_n overrule_a the_o other_o so_o the_o magnetical_a needle_n the_o conversion_n somewhat_o increase_v decline_v sometime_o beyond_o his_o natural_a site_n and_o conformity_n this_o may_v cause_v a_o error_n but_o not_o of_o any_o great_a moment_n sometime_o when_o there_o be_v no_o variation_n or_o direction_n at_o all_o in_o the_o horizon_n there_o may_v be_v a_o variation_n or_o declination_n to_o wit_n either_o when_o the_o more_o eminent_a and_o strong_a part_n of_o the_o earth_n be_v place_v just_a under_o the_o meridian_n or_o when_o these_o part_n be_v more_o impotent_a than_o the_o general_a nature_n require_v or_o else_o when_o the_o magnetical_a vigour_n be_v too_o much_o increase_v on_o one_o side_n and_o diminish_v on_o the_o other_o as_o we_o may_v behold_v in_o the_o vast_a ocean_n chap._n four_o of_o the_o totall_n motion_n magnetical_a 1_o have_v pass_v the_o partial_a motion_n magnetical_a we_o be_v next_o to_o speak_v of_o the_o totall_n motion_n which_o more_o near_o agree_v to_o the_o whole_a earth_n such_o as_o be_v the_o verticitie_n and_o revolution_n 2_o the_o verticity_n be_v that_o whereby_o the_o pole_n of_o the_o earthly_a sphere_n conform_a and_o settle_v themselves_o unto_o the_o pole_n of_o the_o heaven_n 1_o the_o sphere_n of_o the_o earth_n by_o her_o magnetical_a vigour_n be_v most_o firm_o seat_v on_o her_o axle_n who_o end_n or_o pole_n respect_v always_o the_o same_o point_n in_o the_o heaven_n without_o alteration_n that_o which_o in_o a_o little_a magnet_n or_o loadstone_n be_v call_v direction_n in_o the_o vast_a globe_n of_o the_o earth_n be_v call_v verticity_n to_o understand_v which_o we_o must_v conceit_n that_o the_o earth_n have_v natural_o two_o pole_n unto_o which_o the_o meridional_a part_n do_v direct_v not_o only_o magnetical_a body_n near_o the_o earth_n but_o her_o own_o massy_a situation_n and_o firmness_n and_o settle_v herself_o so_o strong_o by_o her_o magnetical_a virtue_n pass_v through_o the_o meridional_a part_n to_o the_o pole_n as_o if_o she_o be_v tie_v by_o many_o strong_a cable_n to_o two_o herculean_a pillar_n not_o subject_a to_o alteration_n and_o if_o it_o shall_v happen_v by_o any_o supernatural_a power_n that_o the_o situation_n can_v be_v change_v she_o will_v no_o doubt_n by_o her_o magnetical_a vigour_n and_o verticity_n return_n and_o restore_v herself_o to_o her_o former_a position_n as_o all_o magnetical_a needle_n will_v do_v to_o their_o proper_a site_n and_o conformity_n of_o this_o verticity_n need_v no_o more_o to_o be_v speak_v then_o have_v be_v already_o say_v in_o the_o point_n of_o direction_n because_o the_o former_a be_v a_o representation_n of_o the_o latter_a and_o depend_v on_o the_o same_o demonstration_n out_o of_o which_o ground_n we_o may_v evident_o conclude_v that_o the_o axle_n of_o the_o terrestrial_a globe_n remain_v always_o invariable_a by_o which_o we_o may_v refute_v the_o opinion_n of_o dominicus_n maria_n who_o be_v master_n to_o copernicu●_n who_o out_o of_o certain_a unperfect_a observation_n be_v induce_v to_o believe_v that_o the_o pole_n of_o the_o world_n be_v change_v from_o their_o true_a and_o natural_a situation_n i_o have_v observe_v say_v he_o look_v on_o ptolemy_n geography_n that_o the_o elevation_n of_o the_o pole_n arctic_n almost_o in_o all_o region_n as_o it_o be_v put_v down_o in_o ptolemy_n differ_v and_o fail_v in_o one_o degree_n and_o ten_o minute_n from_o that_o which_o we_o find_v in_o our_o time_n which_o can_v be_v ascribe_v to_o the_o error_n of_o the_o table_n because_o it_o be_v not_o probable_a that_o the_o whole_a series_n shall_v be_v deprave_a according_o to_o this_o equality_n of_o number_n wherefore_o it_o must_v follow_v of_o necessity_n that_o the_o north_n pole_n shall_v be_v move_v towards_o the_o vertical_a circle_n which_o mystery_n not_o know_v of_o the_o ancient_n for_o want_n of_o former_a observation_n have_v show_v itself_o to_o our_o time_n be_v enrich_v not_o only_o with_o their_o but_o our_o own_o experiment_n according_a to_o this_o opinion_n of_o dominicus_n maria_n the_o north_n pole_n shall_v be_v elevate_v high_a than_o it_o be_v and_o the_o latitude_n of_o region_n shall_v be_v great_a than_o they_o be_v but_o to_o this_o opinion_n we_o will_v oppose_v the_o opinion_n of_o stadius_n which_o hold_v that_o the_o latitude_n of_o region_n have_v be_v decrease_v and_o diminish_v from_o that_o they_o have_v have_v in_o ptolemy_n without_o any_o such_o regular_a increment_n or_o decrement_n which_o he_o labour_v to_o confirm_v by_o many_o observation_n as_o for_o example_n the_o latitude_n of_o rome_n as_o it_o be_v set_v down_o by_o ptolemy_n be_v 41_o degree_n ⅔_n part_n but_o by_o new_a observation_n it_o be_v find_v to_o be_v 41_o degree_n ½_o part_n out_o of_o which_o we_o may_v well_o conjecture_v that_o ptolemy_n observation_n be_v not_o always_o exact_o true_a be_v for_o a_o great_a part_n such_o as_o he_o have_v receive_v from_o hipparchus_n and_o not_o examine_v himself_o as_o may_v be_v see_v in_o the_o latitude_n of_o many_o city_n in_o europe_n where_o he_o miss_v sometime_o 2_o sometime_o 3_o degree_n wherefore_o no_o judicious_a geographer_n will_v upon_o such_o imperfect_a observation_n and_o uncertain_a conjecture_n bring_v in_o a_o new_a motion_n of_o the_o earth_n to_o overthrow_v that_o magnetical_a harmony_n and_o consistency_n corroborate_v with_o so_o many_o and_o sure_a demon●trations_n this_o may_v serve_v to_o answer_v a_o certain_a ten●nt_n of_o vasquez_n the_o jesuite_n and_o some_o other_o who_o imagine_v the_o centre_n and_o by_o consequence_n the_o pole_n of_o the_o earth_n to_o be_v move_v up_o and_o down_o by_o a_o certain_a motion_n of_o liberation_n the_o argument_n on_o which_o they_o will_v ground_v their_o assertion_n be_v take_v from_o the_o centre_n of_o gravity_n in_o this_o manner_n the_o whole_a mass_n of_o the_o earth_n say_v they_o be_v so_o settle_a about_o the_o centre_n that_o it_o be_v equal_o poize_v that_o be_v as_o much_o as_o to_o say_v that_o the_o part_n be_v endow_v with_o a_o equal_a weight_n now_o such_o body_n as_o be_v so_o equal_o poize_v by_o the_o addition_n or_o diminution_n of_o any_o part_n on_o either_o ●ide_v will_n be_v straightway_o t●rned_v from_o that_o ●i●e_n which_o they_o have_v before_o in_o aequîlibrio_n as_o be_v daily_o confirm_v by_o experience_n of_o a_o balance_n and_o other_o such_o mechanic_a instrument_n wherefore_o in_o the_o terrestrial_a sphere_n the_o centre_n and_o pole_n shall_v in_o this_o wise_a be_v change_v and_o alter_v and_o the_o whole_a suffer_v a_o kind_n of_o start_v or_o libration_n for_o it_o be_v manifest_a by_o daily_a observation_n that_o some_o thing_n in_o the_o superficies_n of_o the_o earth_n be_v fall_v off_o and_o carry_v into_o another_o place_n as_o man_n beast_n and_o bird_n which_o move_v from_o one_o place_n unto_o another_o nothing_o be_v here_o of_o more_o moment_n than_o the_o motion_n of_o the_o sea_n by_o which_o the_o part_n of_o the_o water_n by_o continual_a ebb_a and_o flow_v suffer_v such_o a_o sensible_a change_n of_o addition_n and_o diminution_n that_o no_o man_n can_v imagine_v how_o the_o part_n of_o the_o earth_n about_o the_o centre_n shall_v always_o be_v equal_o counterpoise_v but_o the_o weight_n on_o one_o side_n shall_v be_v predominant_a unto_o the_o other_o and_o so_o drive_v the_o centre_n from_o his_o former_a place_n this_o argument_n blancanus_n 2._o another_o late_a jesuite_n leave_v altogether_o unanswered_a either_o imagine_v it_o too_o strong_a or_o out_o of_o a_o combine_a faction_n of_o their_o own_o society_n unwilling_a to_o contradict_v his_o fellow_n and_o indeed_o shall_v we_o consider_v the_o sphere_n of_o the_o earth_n no_o otherwise_o then_o according_a to_o
as_o a_o giant_n to_o run_v his_o course_n 6_o his_o go_v forth_o be_v from_o the_o end_n of_o the_o heaven_n and_o his_o circuit_n unto_o the_o end_n of_o it_o and_o there_o be_v nothing_o hide_v from_o the_o heat_n thereof_o out_o of_o which_o word_n the_o heaven_n shall_v seem_v to_o challenge_v the_o motion_n which_o we_o have_v give_v unto_o the_o earth_n to_o this_o we_o answer_v two_o way_n first_o that_o although_o this_o may_v oppugn_v copernicus_n his_o opinion_n that_o the_o sun_n stand_v still_o in_o the_o midst_n as_o the_o centre_n of_o the_o world_n yet_o may_v it_o well_o stand_v with_o our_o assertion_n who_o allow_v the_o sun_n his_o several_a motion_n in_o the_o ecliptic_a whether_o those_o word_n of_o the_o psalm_n be_v to_o be_v understand_v of_o the_o sun_n diurnal_a or_o periodicke_a motion_n be_v not_o so_o soon_o decide_v the_o scripture_n not_o specify_v express_o either_o 2_o we_o may_v answer_v with_o the_o copernicân_n that_o the_o holy_a ghost_n in_o these_o or_o the_o like_a place_n speak_v 〈◊〉_d 〈◊〉_d 〈◊〉_d 〈◊〉_d 〈◊〉_d be_v willing_a to_o descend_v to_o the_o weak_a of_o man_n capacity_n and_o not_o to_o trouble_v man_n conceit_n with_o such_o matter_n as_o to_o vulgar_a judgement_n may_v seem_v unlikely_a or_o improbable_a the_o like_a analogy_n of_o speech_n may_v we_o find_v in_o the_o first_o of_o genesis_n where_o the_o moon_n be_v call_v one_o of_o the_o great_a light_n in_o regard_n of_o her_o appearance_n be_v notwithstanding_o one_o of_o the_o least_o these_o may_v suffice_v to_o show_v the_o opinion_n of_o the_o earth_n circular_a motion_n to_o be_v probable_a i_o promise_v no_o more_o &_o i_o hope_v i_o have_v perform_v no_o less_o i_o never_o hold_v it_o a_o article_n of_o my_o faith_n to_o defend_v the_o one_o or_o oppugn_v the_o other_o and_o therefore_o leave_v every_o man_n to_o his_o own_o free_a judgement_n to_o embrace_v or_o reject_v what_o he_o please_v chap._n v._o of_o the_o site_n stability_n and_o proportion_n of_o the_o earth_n 1_o of_o terrestrial_a affection_n which_o agree_v in_o respect_n of_o the_o earth_n itself_o we_o have_v hitherto_o speak_v we_o be_v now_o to_o treat_v of_o such_o as_o agree_v to_o it_o in_o respect_n of_o the_o heaven_n these_o be_v chief_o three_o 1_o the_o site_n 2_o the_o stability_n 3_o the_o proportion_n 2_o the_o site_n be_v the_o local_a position_n of_o the_o earth_n in_o respect_n of_o the_o celestial_a body_n it_o may_v seem_v a_o hard_a and_o almost_o impossible_a task_n for_o any_o man_n to_o reconcile_v that_o which_o have_v be_v speak_v in_o the_o former_a chapter_n concern_v the_o earth_n circular_a revolution_n with_o the_o ground_n of_o common_a geographer_n which_o hold_v the_o terrestrial_a globe_n to_o be_v settle_v and_o fix_v in_o the_o centre_n of_o the_o world_n the_o reason_n be_v because_o such_o as_o hold_v the_o circular_a motion_n of_o the_o earth_n whereof_o the_o chief_a be_v copernicus_n will_v have_v the_o sun_n to_o stand_v still_o as_o the_o fix_a centre_n of_o the_o universe_n and_o the_o earth_n to_o move_v round_o about_o he_o betwixt_o mars_n and_o venus_n which_o seem_v clean_o opposite_a to_o the_o former_a opinion_n i_o must_v confess_v that_o copernicus_n his_o opinion_n entire_o take_v and_o understand_v stand_v altogether_o opposite_a to_o these_o our_o ground_n yet_o may_v that_o motion_n of_o the_o earth_n which_o we_o have_v establish_v in_o the_o former_a chapter_n for_o aught_o i_o yet_o know_v be_v well_o reconcile_v with_o their_o opinion_n which_o hold_v the_o earth_n to_o be_v the_o centre_n of_o the_o world_n for_o the_o circular_a revolution_n we_o give_v to_o the_o terrestrial_a globe_n be_v not_o a_o motion_n of_o the_o centre_n of_o it_o from_o one_o place_n to_o another_o as_o that_o of_o the_o star_n which_o move_v round_o about_o the_o earth_n but_o rather_o a_o turn_n of_o itself_o in_o its_o own_o place_n upon_o her_o own_o pole_n and_o axletree_n in_o such_o sort_n as_o the_o wheel_n of_o a_o mill_n or_o such_o a_o like_a engine_n fix_v in_o one_o place_n be_v turn_v upon_o his_o own_o axle_n so_o that_o the_o motion_n we_o there_o understand_v be_v only_o the_o diurnal_a motion_n of_o 24_o hour_n make_v the_o day_n and_o night_n the_o other_o two_o motion_n mention_v by_o copernicus_n may_v be_v find_v out_o in_o the_o heaven_n and_o leave_v to_o astronomer_n the_o reason_n why_o i_o entire_o embrace_v not_o copernicus_n his_o opinion_n be_v chief_o two_o first_o because_o it_o seem_v too_o harsh_a and_o dissonant_n in_o nature_n to_o make_v one_o and_o the_o selfsame_o body_n subject_a to_o so_o many_o motion_n especial_o such_o as_o by_o common_a philosopher_n be_v deny_v all_o motion_n second_o because_o the_o other_o motion_n grant_v to_o the_o earth_n must_v needs_o suppose_v it_o to_o be_v place_v out_o of_o the_o centre_n of_o the_o world_n the_o contrary_a of_o which_o we_o shall_v in_o this_o chapter_n god_n willing_a sufficient_o demonstrate_v the_o motion_n therefore_o most_o call_v in_o question_n and_o most_o likely_a to_o be_v find_v in_o the_o earth_n rather_o than_o in_o the_o heaven_n be_v the_o diurnal_a revolution_n perform_v in_o 24_o hour_n from_o the_o west_n to_o east_n which_o as_o we_o have_v prove_v be_v give_v to_o the_o heaven_n will_v be_v far_o swift_a than_o nature_n can_v well_o suffer_v wherefore_o with_o more_o probability_n may_v this_o motion_n be_v take_v from_o the_o heaven_n and_o give_v unto_o the_o earth_n the_o other_o without_o any_o absurdity_n at_o all_o may_v be_v grant_v in_o the_o heaven_n sith_o no_o repugnancy_n be_v find_v in_o nature_n but_o that_o every_o heavenly_a body_n may_v be_v furnish_v with_o some_o motion_n and_o therefore_o copernicus_n may_v have_v grant_v the_o sun_n and_o fix_a star_n their_o several_a motion_n as_o well_o as_o the_o rest_n which_o will_v have_v seem_v far_o more_o probable_a then_o to_o have_v endow_v the_o earth_n with_o a_o triplicity_n of_o motion_n these_o thing_n be_v thus_o open_v i_o will_v set_v down_o their_o theorem_n 1_o the_o terrestrial_a globe_n be_v the_o centre_n of_o the_o whole_a world_n to_o understand_v aright_o this_o proposition_n we_o must_v consider_v that_o a_o centre_n may_v be_v take_v two_o manner_n of_o way_n either_o geometrical_o or_o optical_o in_o geometry_n it_o be_v take_v for_o a_o imaginary_a point_n conceive_v in_o a_o magnitude_n devoyde_a of_o all_o quantity_n yet_o bound_v and_o termine_v all_o magnitude_n optical_o it_o be_v usual_o take_v for_o a_o small_a and_o insensible_a magnitude_n because_o to_o the_o fight_v it_o may_v seem_v no_o other_o than_o a_o point_n in_o which_o last_o sense_n we_o may_v call_v the_o earth_n the_o centre_n for_o although_o the_o earthly_a sphere_n be_v endow_v with_o a_o great_a and_o massy_a substance_n yet_o as_o we_o shall_v hereafter_o demonstrate_v in_o respect_n of_o the_o firmament_n this_o greatness_n will_v vanish_v into_o nothing_o for_o if_o a_o man_n stand_v in_o the_o firmament_n shall_v behold_v it_o it_o will_v seem_v no_o other_o than_o as_o a_o small_a point_n this_o be_v declare_v we_o will_v produce_v these_o reason_n to_o prove_v the_o earth_n to_o be_v the_o centre_n of_o the_o universe_n the_o centre_n i_o say_v not_o of_o all_o heavenly_a motion_n for_o some_o star_n be_v move_v upon_o their_o own_o centre_n but_o of_o the_o whole_a heavenly_a machine_n be_v collective_o take_v as_o one_o body_n the_o first_o argument_n be_v of_o aristotle_n take_v from_o the_o gravity_n or_o natural_a inclination_n of_o all_o heavy_a body_n to_o the_o centre_n the_o earth_n say_v he_o be_v a_o heavy_a &_o massy_a body_n must_v needs_o seek_v the_o low_a place_n which_o be_v far_a off_o from_o the_o heaven_n but_o this_o can_v be_v no_o other_o than_o the_o centre_n or_o midst_n point_n of_o the_o whole_a world_n which_o argument_n by_o other_o be_v more_o subtle_o urge_v in_o this_o manner_n suppose_v the_o whole_a mass_n of_o the_o earth_n be_v cut_v and_o divide_v into_o many_o part_n equal_a the_o one_o to_o the_o other_o of_o the_o same_o weight_n and_o figure_n which_o part_v so_o divide_v be_v place_v in_o diverse_a place_n under_o the_o concave_a superficies_n of_o the_o moon_n that_o they_o may_v be_v free_o leave_v to_o themselves_o to_o move_v according_a to_o their_o natural_a inclination_n it_o be_v most_o certain_a that_o all_o their_o part_n be_v of_o the_o same_o nature_n weight_n quantity_n and_o figure_n will_v descend_v with_o the_o same_o motion_n &_o in_o the_o same_o equal_a time_n to_o the_o same_o place_n which_o can_v in_o no_o wise_n happen_v except_o they_o shall_v concur_v in_o the_o centre_n of_o the_o world_n but_o this_o reason_n for_o aught_o i_o understand_v be_v only_o probable_a and_o
understand_v we_o be_v first_o to_o set_v down_o in_o a_o scheme_n or_o diagram_n both_o the_o number_n and_o order_n of_o all_o the_o heavenly_a orb_n conceive_v according_a to_o our_o ground_n second_o we_o must_v show_v in_o particular_a how_o this_o range_a of_o the_o heavenly_a body_n be_v capable_a of_o all_o the_o motion_n and_o apt_a to_o satisfy_v the_o apparence_n in_o which_o part_n i_o will_v not_o too_o nice_o descend_v to_o astronomical_a curiosity_n be_v too_o many_o and_o subtle_a for_o a_o geographer_n to_o discuss_v only_o i_o will_v give_v a_o taste_n to_o satisfy_v such_o as_o suppose_v no_o middle_a way_n can_v be_v tread_v out_o betwixt_o ptolemy_n stability_n of_o the_o earth_n and_o copernicus_n his_o three_o motion_n i_o may_v seem_v perhaps_o presumptuous_a beyond_o my_o knowledge_n to_o reject_v and_o pass_v by_o the_o draught_n and_o delineation_n of_o ptolemy_n alphonsus_n and_o their_o follower_n which_o be_v common_o defend_v and_o in_o use_n or_o that_o other_o of_o copernicus_n support_v with_o the_o authority_n and_o credit_n of_o so_o great_a a_o astronomer_n or_o that_o of_o tichobrahe_n more_o correct_v then_o either_o and_o to_o prefer_v my_o own_o be_v a_o embryo_n or_o half_o fashion_v to_o this_o i_o answer_v first_o that_o i_o only_o expose_v this_o scheme_n follow_v to_o the_o view_n of_o the_o judicious_a justify_v it_o no_o far_o than_o will_v stand_v with_o astronomical_a observation_n second_o i_o herein_o arrogate_v little_a or_o nothing_o to_o myself_o for_o as_o much_o as_o i_o have_v digest_v and_o compound_v it_o out_o of_o the_o observation_n and_o experiment_n of_o late_a astronomer_n and_o only_o collect_v together_o what_o they_o scatter_a the_o scheme_n itself_o be_v express_v in_o this_o manner_n wherein_o to_o begin_v from_o the_o low_a the_o centre_n be_v the_o globe_n of_o the_o earth_n to_o which_o we_o have_v give_v a_o diurnal_a motion_n from_o the_o west_n to_o the_o east_n upon_o her_o own_o pole_n who_o revolution_n be_v make_v in_o 24_o hour_n about_o the_o earth_n as_o the_o centre_n of_o the_o whole_a world_n the_o moon_n be_v carry_v in_o her_o circle_n which_o among_o all_o the_o planet_n be_v find_v more_o near_o to_o respect_v the_o earth_n as_o well_o in_o place_n as_o nature_n next_o succeed_v the_o sun_n as_o the_o leader_n of_o all_o the_o planet_n which_o carry_v round_o about_o the_o earth_n in_o a_o annual_a circuit_n describe_v the_o ecliptic_a circle_n about_o the_o sun_n as_o the_o proper_a centre_n be_v all_o the_o planet_n move_v except_o the_o moon_n the_o two_o immediate_a companion_n of_o the_o sun_n be_v venus_n &_o mercury_n which_o so_o compass_v he_o about_o that_o the_o earth_n never_o come_v betwixt_o they_o and_o the_o sun_n the_o other_o three_o planet_n as_o mars_n jupiter_n and_o saturn_n howsoever_o they_o environ_v the_o sun_n as_o their_o proper_a centre_n yet_o so_o as_o within_o their_o circle_n they_o comprehend_v the_o body_n of_o the_o earth_n the_o planet_n mars_n because_o he_o be_v find_v by_o astronomer_n to_o move_v sometime_o above_o sometime_o under_o the_o sun_n be_v understand_v to_o move_v in_o such_o a_o circle_n which_o on_o the_o opposite_a side_n shall_v cut_v the_o circle_n of_o the_o sun_n yet_o so_o as_o mars_n and_o the_o sun_n can_v never_o meet_v in_o one_o point_n forasmuch_o as_o mars_n as_o well_o as_o the_o other_o planet_n be_v suppose_v to_o be_v carry_v in_o a_o epicycle_n about_o the_o sun_n and_o to_o keep_v a_o equal_a distance_n from_o he_o howsoever_o move_v neither_o be_v he_o ever_o find_v under_o the_o sun_n but_o about_o the_o time_n of_o the_o opposition_n as_o astronomer_n observe_v whence_o a_o cause_n have_v be_v give_v why_o mars_n shall_v appear_v great_a at_o the_o time_n of_o opposition_n these_o five_o planet_n to_o wit_n saturn_n jupiter_n mars_n venus_n and_o mercury_n may_v be_v consider_v according_a to_o a_o double_a motion_n the_o one_o be_v proper_a and_o natural_a wherein_o they_o be_v move_v about_o the_o sun_n as_o their_o proper_a centre_n the_o other_o accidental_a and_o as_o it_o be_v by_o a_o consequence_n of_o nature_n whereby_o in_o their_o circuit_n move_v about_o the_o sun_n as_o their_o centre_n they_o must_v of_o necessity_n by_o a_o consequent_a site_n of_o the_o place_n be_v carry_v about_o the_o earth_n for_o the_o sun_n place_v in_o his_o ecliptic_a line_n so_o compass_v round_o the_o earth_n that_o with_o he_o he_o be_v suppose_v to_o carry_v the_o epicy●les_n wherein_o these_o planet_n be_v move_v round_o about_a he_o whence_o we_o find_v the_o motion_n of_o these_o planet_n about_o the_o sun_n as_o their_o own_o centre_n to_o be_v regular_a but_o about_o the_o earth_n irregular_a which_o proceed_v from_o their_o excentricity_n in_o respect_n of_o the_o earth_n above_o all_o the_o planet_n we_o place_v the_o firmament_n or_o starry_a heaven_n have_v a_o very_a slow_a motion_n not_o to_o be_v finish_v in_o many_o thousand_o year_n and_o this_o motion_n be_v on_o other_o pole_n than_o the_o pole_n of_o the_o world_n to_o be_v seek_v out_o in_o or_o near_o the_o pole_n of_o the_o ecliptic_a this_o heaven_n will_v aristotle_n have_v to_o be_v the_o first_o movable_a and_o therefore_o give_v it_o a_o very_a swift_a motion_n which_o be_v the_o same_o which_o we_o call_v diurnal_a and_o have_v give_v to_o the_o earth_n but_o it_o seem_v more_o consonant_n to_o nature_n that_o the_o slow_a motion_n shall_v agree_v to_o the_o high_a body_n and_o the_o swift_a to_o the_o low_a that_o there_o may_v be_v a_o proportion_n betwixt_o the_o time_n and_o the_o space_n of_o motion_n it_o remain_v that_o we_o probable_o show_v that_o out_o of_o their_o supposition_n the_o celestial_a apparence_n may_v be_v as_o well_o or_o better_o salve_v then_o by_o the_o ordinary_a ground_n the_o apparence_n which_o be_v most_o call_v in_o question_n concern_v either_o the_o motion_n or_o the_o place_n and_o position_n all_o the_o rest_n be_v either_o of_o less_o moment_n or_o at_o least_o be_v thereunto_o reduce_v every_o motion_n which_o be_v find_v or_o think_v to_o be_v find_v in_o the_o heaven_n be_v either_o the_o diurnal_a or_o periodicke_n the_o diurnal_a motion_n as_o we_o have_v already_o show_v belong_v to_o the_o earth_n which_o according_a to_o our_o ground_n be_v suppose_v to_o move_v from_o the_o west_n unto_o the_o east_n in_o 24_o hour_n which_o may_v answer_v to_o the_o motion_n of_o the_o first_o movable_a sphere_n which_o according_a to_o aristotle_n be_v the_o starry_a firmament_n and_o think_v to_o move_v from_o the_o east_n to_o the_o west_n the_o periodicke_a motion_n be_v either_o a_o slow_a motion_n to_o be_v finish_v not_o under_o many_o thousand_o year_n or_o else_o a_o swift_a revolution_n of_o the_o planet_n this_o slow_a motion_n the_o common_a astronomer_n will_v have_v towfold_a the_o one_o from_o the_o west_n to_o the_o east_n on_o the_o pole_n of_o the_o ecliptic_a the_o other_o a_o motion_n as_o they_o call_v it_o of_o trepidation_n from_o the_o south_n point_n to_o the_o north_n and_o backward_o again_o but_o one_o slow_a motion_n of_o the_o six_o star_n upon_o the_o pole_n of_o the_o ecliptic_a grant_v to_o the_o firmament_n will_v for_o aught_o i_o see_v satisfy_v both_o the_o reason_n why_o they_o put_v two_o distinct_a motion_n be_v 1_o because_o they_o have_v observe_v the_o star_n of_o aries_n taurus_n and_o the_o rest_n of_o the_o zodiac_n not_o to_o be_v seat_v in_o the_o same_o place_n wherein_o they_o be_v ancient_o find_v but_o to_o be_v move_v certain_a degree_n from_o the_o west_n towards_o the_o east_n whence_o they_o will_v conclude_v a_o motion_n to_o be_v from_o the_o west_n unto_o the_o east_n 2._o it_o will_v stand_v with_o no_o less_o experience_n that_o the_o foresay_a star_n of_o the_o firmament_n have_v move_v themselves_o from_o the_o south_n towards_o the_o north._n to_o pass_v over_o the_o r●st_n the_o polestar_n which_o in_o hipparchus_n time_n be_v distant_a from_o the_o pole_n about_o 12_o degree_n be_v now_o observe_v to_o approach_v almost_o three_o degree_n these_o two_o motion_n shall_v they_o be_v esteem_v in_o the_o account_n of_o astronomer_n may_v seem_v deficient_a notwithstanding_o we_o may_v probable_o conjecture_v this_o to_o be_v no_o other_o than_o one_o and_o the_o selfsame_o motion_n upon_o the_o pole_n of_o the_o ecliptic_a whence_o it_o may_v come_v to_o pass_v that_o the_o fix_a star_n be_v not_o only_o carry_v from_o west_n to_o east_n but_o also_o by_o reason_n of_o the_o obliquity_n of_o the_o ecliptic_a line_n incline_v more_o and_o more_o daily_o to_o the_o pole_n of_o the_o world_n whence_o they_o may_v again_o return_v for_o this_o motion_n from_o the_o west_n to_o the_o east_n be_v of_o the_o primary_n intent_n of_o
as_o mere_a point_n in_o respect_n of_o their_o orb_n because_o they_o sensible_o be_v see_v as_o part_n of_o these_o orbs._n but_o the_o earth_n be_v great_a than_o some_o of_o the_o low_a star_n as_o the_o moon_n whence_o we_o may_v with_o good_a ground_n aver_v that_o if_o a_o man_n be_v place_v in_o the_o moon_n he_o may_v behold_v the_o earth_n far_o great_a than_o the_o moon_n be_v observe_v by_o we_o in_o the_o earth_n wherefore_o no_o man_n can_v deny_v but_o the_o earth_n in_o itself_o have_v a_o great_a vastness_n but_o if_o we_o consider_v this_o greatness_n in_o respect_n of_o the_o heaven_n we_o shall_v find_v this_o vast_a greatness_n to_o shrink_v almost_o into_o nothing_o and_o become_v as_o a_o mere_a point_n without_o sensible_a magnitude_n but_o this_o be_v not_o altogether_o general_a without_o limitation_n because_o the_o heavenly_a body_n be_v distinguish_v into_o the_o high_a and_o great_a such_o as_o be_v the_o firmament_n with_o the_o four_o high_a planet_n such_o as_o be_v saturn_n jupiter_n mars_n and_o the_o sun_n or_o the_o low_a and_o lesser_a such_o as_o be_v venus_n mercurius_n and_o the_o moon_n which_o difference_n in_o place_n and_o greatness_n admit_v a_o great_a diversity_n in_o this_o proportion_n as_o we_o shall_v show_v in_o these_o two_o theorem_n 1._o the_o earthly_a globe_n compare_v in_o quantity_n with_o the_o firmament_n and_o superior_a orb_n of_o the_o planet_n have_v no_o sensible_a magnitude_n this_o proposition_n be_v support_v not_o only_o by_o the_o authority_n of_o many_o and_o grave_a author_n as_o aristotle_n ptolemy_n pliny_n alphragan_n and_o other_o but_o by_o diverse_a strong_a reason_n draw_v from_o experience_n and_o observation_n of_o astronomer_n the_o first_o argument_n shall_v be_v this_o which_o be_v most_o popular_a the_o sun_n and_o many_o other_o star_n in_o the_o firmament_n be_v find_v out_o by_o astronomical_a instrument_n to_o be_v manifold_o great_a than_o the_o globe_n of_o the_o earth_n yet_o appear_v they_o in_o respect_n of_o the_o heaven_n but_o as_o a_o little_a point_n or_o portion_n then_o must_v the_o earth_n be_v in_o comparison_n far_o lesser_a be_v devoid_a of_o all_o sensible_a magnitude_n or_o proportion_n second_o if_o the_o earth_n have_v any_o notable_a quantity_n in_o respect_n of_o the_o heaven_n then_o must_v the_o diameter_n of_o the_o earth_n have_v as_o great_a a_o quantity_n in_o respect_n of_o the_o diameter_n of_o the_o sky_n for_o there_o be_v the_o same_o proportion_n of_o the_o diameter_n which_o the_o circumference_n have_v one_o to_o the_o other_o as_o be_v demonstrate_v in_o geometry_n now_o if_o the_o diameter_n of_o the_o earth_n have_v any_o notable_a magnitude_n in_o comparison_n of_o the_o diameter_n of_o the_o sky_n than_o the_o star_n which_o be_v over_o our_o head_n be_v near_o unto_o we_o by_o a_o notable_a quantity_n then_o when_o they_o be_v either_o in_o the_o east_n or_o west_n for_o it_o must_v needs_o follow_v that_o the_o star_n place_v in_o the_o vertical_a point_n be_v near_o by_o the_o semidiameter_n of_o the_o earth_n then_o when_o they_o be_v either_o in_o the_o eastern_a or_o western_a point_n as_o we_o see_v in_o ●his_fw-la figure_n here_o set_v down_o acdb_n wherein_o i_o make_v e_o to_o be_v the_o centre_n of_o the_o earth_n aeb_n the_o true_a horizon_n and_o of_o the_o semidiameter_n of_o the_o earth_n now_o if_o the_o semidiameter_n fe_o have_v any_o sensible_a proportion_n then_o must_v g_o the_o vertical_a point_n be_v near_o to_o f._n then_o either_o a_o or_o b._n suppose_a to_o be_v the_o east_n &_o west_n point_n because_o ea_fw-la or_o ebb_v be_v the_o whole_a semidiameter_n of_o the_o celestial_a circle_n whereof_o fg_n be_v only_o a_o part_n but_o contrariwise_o there_o be_v no_o such_o diversity_n perceive_v in_o the_o magnitude_n of_o the_o star_n but_o that_o they_o appear_v still_o to_o be_v of_o one_o and_o the_o same_o greatness_n except_o by_o accidental_a interposition_n of_o vapour_n and_o gross_a body_n wherefore_o it_o must_v of_o necessity_n follow_v that_o their_o distance_n be_v all_o one_o in_o all_o part_n of_o the_o sky_n and_o by_o consequence_n the_o semidiameter_n of_o the_o earth_n have_v no_o sensible_a diversity_n in_o distance_n three_o hence_o will_v arise_v another_o reason_n no_o less_o forcible_a than_o this_o that_o if_o the_o semidiameter_n of_o the_o earth_n have_v any_o comparison_n or_o proportion_n to_o the_o semidiameter_n of_o the_o sky_n the_o horizon_n that_o we_o have_v on_o the_o upper_a part_n of_o the_o earth_n shall_v not_o divide_v the_o sky_n into_o two_o equal_a part_n for_o as_o much_o as_o the_o part_n which_o be_v couch_v under_o the_o horizon_n will_v always_o be_v great_a and_o the_o other_o lesser_a as_o in_o our_o former_a diagramme_n if_o of_o have_v a_o notable_a quantity_n in_o comparison_n of_o ea_fw-la then_o will_v the_o line_n cfd_n be_v the_o horizon_n on_o the_o top_n of_o the_o earth_n differ_v notable_o from_o the_o line_n aeb_fw-mi be_v the_o diameter_n of_o the_o world_n and_o the_o horizon_n to_o the_o centre_n of_o the_o earth_n and_o so_o shall_v not_o the_o horizon_n cfd_n divide_v the_o world_n into_o two_o equal_a part_n but_o the_o upper_a part_n shall_v always_o be_v lesser_a than_o the_o low_a which_o cross_v ordinary_a experience_n for_o we_o may_v see_v in_o long_a winter_n night_n that_o those_o star_n which_o be_v in_o the_o east_n horizon_n in_o the_o begin_n of_o the_o night_n will_v be_v in_o the_o west_n at_o the_o end_n of_o twelve_o hour_n and_o contrariwise_o those_o star_n which_o do_v set_v in_o the_o west_n when_o those_o other_o do_v rise_v in_o the_o east_n shall_v rise_v again_o when_o the_o other_o shall_v set_v four_o if_o the_o earth_n have_v any_o sensible_a greatness_n in_o respect_n of_o the_o heaven_n than_o be_v it_o unpossible_a for_o any_o sun_n dial_n to_o be_v regular_a and_o observe_v due_a proportion_n for_o we_o see_v the_o shadow_n to_o move_v as_o due_o and_o orderly_o about_o the_o centre_n of_o dial_n and_o such_o instrument_n as_o if_o their_o centre_n be_v the_o very_a centre_n of_o the_o world_n which_o can_v never_o happen_v if_o these_o two_o centre_n shall_v differ_v notable_o in_o respect_n of_o the_o sphere_n of_o the_o sun_n to_o express_v it_o the_o better_a we_o will_v set_v this_o figure_n which_o represent_v the_o three_o notable_a circle_n in_o a_o dial_n which_o be_v describe_v by_o the_o course_n of_o the_o sun_n in_o three_o notable_a place_n of_o the_o zodiac_n to_o wit_n the_o two_o tropic_n and_o the_o equinoctial_a herein_o the_o uttermost_a arch_n blc_n represent_v the_o tropic_n of_o capricorn_n and_o be_v describe_v no_o great_a than_o the_o quarter_n of_o a_o circle_n because_o the_o sun_n place_v in_o the_o sign_n shine_v unto_o we_o but_o six_o hour_n the_o equinoctial_a be_v set_v as_o half_a a_o circle_n because_o the_o sun_n be_v in_o it_o appear_v unto_o we_o 12_o hour_n &_o be_v here_o note_v out_o by_o eif_n the_o tropic_n of_o cancer_n contain_v 3_o quarter_n of_o a_o circle_n because_o when_o the_o sun_n be_v in_o it_o there_o be_v eighteen_o hour_n from_o sunrising_n to_o sunset_n and_o that_o circle_n be_v ghk_n the_o centre_n of_o the_o dial_n be_v a_o and_o the_o style_n which_o give_v the_o shadow_n da_fw-la who_o top_n be_v d_o do_v describe_v those_o portion_n of_o circle_n with_o such_o exactness_n as_o if_o the_o dial_n be_v set_v in_o the_o very_a centre_n of_o the_o earth_n and_o the_o distinction_n of_o the_o hour_n show_v itself_o no_o otherwise_o then_o if_o the_o centre_n of_o the_o dial_n be_v the_o same_o with_o the_o centre_n of_o the_o world_n to_o these_o argument_n i_o may_v add_v that_o if_o there_o shall_v be_v a_o sensible_a greatness_n of_o the_o earth_n in_o respect_n of_o these_o superior_a orb_n either_o all_o or_o most_o of_o these_o absurdity_n will_v arise_v which_o follow_v their_o opinion_n who_o place_n the_o earth_n out_o of_o the_o centre_n of_o the_o world_n which_o we_o have_v before_o treat_v of_o 2_o the_o terrestrial_a globe_n compare_v with_o the_o inferior_a orb_n have_v a_o sensible_a magnitude_n although_o the_o whole_a earth_n compare_v with_o the_o firmament_n and_o superior_a orb_n of_o the_o planet_n seem_v no_o otherwise_o then_o a_o point_n yet_o from_o this_o we_o must_v except_v the_o orb_n of_o the_o low_a planet_n venus_n mercury_n but_o especial_o the_o moon_n who_o be_v find_v by_o observation_n of_o diverse_a skilful_a astronomer_n to_o have_v a_o sensible_a and_o notable_a greatness_n in_o respect_n of_o the_o earth_n whereof_o a_o manifest_a argument_n may_v be_v draw_v from_o the_o parallax_n or_o variation_n of_o the_o sight_n wherein_o our_o observation_n of_o the_o same_o star_n at_o diverse_a place_n be_v
yet_o may_v the_o rest_v compare_v among_o themselves_o be_v range_v in_o a_o certain_a order_n as_o the_o second_o third_z four_o five_o and_o so_o along_o till_o we_o come_v again_o to_o the_o first_o be_v in_o all_o reduce_v to_o the_o number_n of_o 180_o answer_v to_o 360_o degree_n as_o we_o have_v teach_v so_o much_o for_o the_o meridian_n 11_o the_o parallel_n be_v equidistant_a circle_n pass_v from_o the_o east_n to_o the_o west_n direct_o i_o have_v define_v the_o parallel_n circle_n in_o a_o large_a sense_n then_o former_a geographer_n usual_o have_v take_v it_o in_o as_o willing_a under_o this_o general_a name_n not_o only_o to_o include_v the_o parallel_n common_o so_o call_v but_o also_o the_o equatour_n because_o i_o see_v no_o reason_n why_o the_o equatour_n be_v every_o where_o equidistant_a from_o each_o other_o circle_n shall_v not_o suffer_v this_o acception_n the_o common_a sort_n of_o cosmographer_n under_o this_o name_n will_v only_o comprise_v the_o minor_a circle_n which_o be_v conceive_v to_o be_v equal_o distant_a and_o correspondent_a to_o the_o equinoctial_a circle_n so_o that_o all_o shall_v be_v so_o call_v in_o respect_n of_o the_o equatour_n to_o who_o they_o be_v say_v to_o answer_v not_o in_o site_n and_o position_n for_o as_o much_o as_o they_o decline_v from_o the_o middle_n of_o the_o earth_n to_o the_o north_n and_o south_n but_o in_o comparison_n and_o proportion_n for_o as_o the_o equatour_n be_v draw_v from_o east_n to_o west_n and_o divide_v the_o whole_a sphere_n of_o the_o earth_n into_o the_o north_n and_o south_n hemisphere_n so_o the_o other_o also_o divide_v the_o globe_n of_o the_o earth_n though_o not_o into_o two_o equal_a part_n as_o the_o equatour_n but_o unequal_a these_o parallel_n many_o way_n be_v distinguish_v from_o the_o meridian_n first_o because_o the_o meridian_n be_v draw_v direct_o from_o north_n to_o south_n but_o the_o parallel_n from_o east_n to_o west_n second_o the_o meridian_n how_o many_o soever_o they_o be_v imagine_v to_o be_v concur_v and_o meet_v all_o in_o the_o pole_n of_o the_o earth_n whereas_o the_o parallel_n howsoever_o draw_v out_o at_o length_n will_v never_o concur_v or_o meet_v in_o any_o point_n whence_o it_o must_v needs_o follow_v that_o all_o parallel_n and_o meridian_n in_o the_o globe_n must_v cut_v one_o the_o other_o and_o make_v right_a angle_n these_o parallel_n although_o infinite_a in_o number_n may_v be_v in_o the_o sphere_n reduce_v to_o the_o number_n of_o the_o meridian_n because_o they_o be_v draw_v through_o the_o opposite_a point_n and_o degree_n of_o the_o meridian_n semicircle_n which_o will_v make_v up_o the_o number_n of_o 180_o but_o yet_o for_o conveniency_n they_o have_v not_o paint_v so_o many_o in_o the_o face_n of_o the_o artificial_a sphere_n for_o as_o much_o as_o so_o many_o line_n and_o circle_n may_v beget_v confusion_n wherefore_o ptolemy_n and_o the_o ancient_n have_v distinguish_v the_o parallel_n on_o both_o side_n the_o equator_fw-la north_n and_o south_n with_o such_o a_o distance_n that_o where_o the_o day_n shall_v increase_v one_o quarter_n of_o a_o hour_n a_o new_a parallel_n shall_v be_v place_v so_o that_o the_o long_a day_n of_o one_o parallel_n shall_v surpass_v the_o long_a day_n of_o another_o for_o one_o quarter_n of_o a_o hour_n by_o which_o appear_v that_o the_o parallel_n be_v not_o of_o one_o greatness_n but_o by_o how_o much_o near_o the_o pole_n they_o be_v place_v so_o much_o less_o be_v they_o and_o so_o much_o great_a by_o how_o much_o far_o off_o from_o the_o pole_n and_o near_o the_o equatour_n these_o circle_n be_v of_o great_a use_n in_o geography_n as_o to_o distinguish_v the_o zone_n climate_n and_o latitude_n of_o region_n to_o show_v the_o elevation_n of_o the_o pole_n and_o to_o design_n out_o the_o length_n and_o shortness_n of_o the_o day_n in_o any_o part_n of_o the_o earth_n 12_o a_o parallel_n circle_n be_v of_o two_o sort_n either_o great_a or_o lesser_a the_o great_a be_v the_o equatour_n or_o equinoctial_a circle_n 13_o the_o equatour_n be_v the_o great_a of_o the_o parallel_n pass_v through_o the_o midst_n of_o the_o earth_n and_o exact_o divide_v they_o from_o the_o pole_n into_o two_o equal_a half_n or_o hemisphere_n whereof_o the_o one_o be_v north_n the_o other_o south_n this_o circle_n be_v call_v the_o equatour_n or_o equinoctial_a of_o astronomer_n because_o that_o when_o the_o sun_n pass_v under_o it_o as_o upon_o the_o 11_o of_o march_n and_o the_o 13_o of_o september_n it_o make_v the_o day_n and_o night_n equal_a this_o circle_n of_o astronomer_n be_v esteem_v the_o most_o notable_a be_v the_o measure_n of_o the_o diurnal_a and_o most_o regular_a motion_n the_o la●ines_n have_v take_v the_o name_n and_o appellation_n of_o this_o circle_n from_o the_o day_n as_o the_o greek_n from_o the_o night_n wherein_o the_o sense_n be_v no_o way_n vary_a because_o the_o equality_n of_o the_o day_n argue_v the_o like_a equality_n of_o the_o night_n the_o two_o pole_n of_o the_o circle_n be_v the_o same_o with_o the_o pole_n of_o the_o universal_a earth_n to_o wit_n the_o arctic_a or_o north-pole_n and_o the_o antarctic_a and_o southern_a pole_n whereof_o the_o former_a be_v always_o conspicuous_a in_o our_o horizon_n the_o other_o lie_v couch_v and_o hide_v from_o our_o sight_n it_o be_v call_v the_o articke-pole_n from_o the_o constellation_n of_o the_o little_a bear_n in_o the_o heaven_n near_o to_o the_o which_o it_o be_v situate_v in_o opposition_n to_o the_o which_o the_o other_o be_v call_v antarctic_a it_o have_v manifold_a use_n in_o astronomy_n copious_o by_o astronomer_n and_o no_o less_o in_o geography_n for_o without_o this_o equinoctial_a circle_n no_o description_n of_o the_o earth_n can_v be_v absolute_a &_o perfect_a neither_o any_o city_n or_o place_n in_o the_o terrestrial_a globe_n or_o map_n set_v in_o his_o due_a and_o proper_a place_n this_o equinoctial_a circle_n in_o regard_n of_o the_o earth_n pass_v through_o the_o middlemost_a part_n almost_o of_o africa_n by_o ethiopia_n america_n and_o taprobana_n so_o that_o it_o exact_o divide_v the_o globe_n of_o the_o earth_n into_o two_o half_n the_o northern_a and_o southern_a hemisphere_n so_o that_o these_o people_n which_o dwell_v under_o the_o equatour_n be_v say_v to_o inhabit_v the_o middle_n of_o the_o world_n because_o they_o incline_v neither_o to_o the_o north_n nor_o to_o the_o south_n have_v so_o much_o distance_n from_o the_o arctic_a antarticke-pole_n of_o the_o earth_n moreover_o by_o this_o circle_n as_o we_o will_v declare_v hereafter_o be_v note_v out_o unto_o we_o the_o east_n and_o west_n part_n of_o the_o sphere_n no_o way_n to_o be_v neglect_v of_o geographer_n 1_o concern_v the_o equatour_n two_o thing_n be_v to_o be_v observe_v either_o the_o invention_n or_o the_o site_n and_o position_n the_o invention_n be_v either_o astronomical_a or_o magnetical_a the_o astronomical_a according_a to_o these_o rule_n 1_o the_o meridian_n be_v find_v out_o to_o find_v the_o equator_fw-la this_o be_v easy_o perform_v by_o the_o help_n of_o the_o former_a figure_n for_o therein_o the_o meridian_n line_n be_v find_v out_o as_o we_o have_v show_v let_v there_o be_v draw_v by_o the_o centre_n e_o of_o that_o circle_n the_o line_n ac_fw-la make_v right_a angle_n with_o the_o say_a meridian_n which_o line_n ac_fw-la will_v be_v the_o true_a equatour_n and_o will_v point_v out_o unto_o we_o the_o true_a east_n and_o west_n as_o a_o the_o east_n and_o c_o the_o west_n whence_o it_o appear_v that_o the_o two_o line_n to_o wit_n of_o the_o equatour_n and_o the_o meridian_n do_v divide_v and_o cut_v the_o whole_a horizon_n into_o two_o equal_a quadrant_n 2_o without_o the_o help_n of_o the_o meridian_n to_o find_v out_o the_o equatour_n in_o the_o time_n of_o either_o equinoctial_a in_o some_o horizontall_a plain_a in_o the_o sunshine_n let_v there_o be_v erect_v a_o gnomon_n then_o in_o the_o day_n time_n let_v there_o be_v note_v all_o the_o point_n by_o which_o the_o end_n or_o top_n of_o the_o shadow_n have_v pass_v for_o all_o those_o point_n in_o the_o time_n of_o equinoctial_a be_v in_o a_o right_a line_n because_o then_o the_o end_n of_o the_o shadow_n be_v carry_v in_o a_o line_n in_o the_o time_n of_o the_o equinox_n in_o a_o herizontall_a plain_a this_o line_n will_v be_v the_o true_a equinoctiall-line_n the_o cause_n be_v give_v by_o clavius_n in_o gnomonicis_n lib._n 1._o prop._n 1._o corollar_n 2._o which_o depend_v on_o many_o geometrical_a and_o astronomical_a principle_n as_o too_o far_o from_o my_o purpose_n i_o omit_v 15_o the_o magnetical_a invention_n of_o the_o equatour_n be_v wrought_v by_o the_o magnetical_a inclinatory_a needle_n according_a to_o this_o proposition_n 1_o wheresoever_o at_o any_o place_n of_o the_o terrestrial_a
give_v of_o they_o both_o for_o as_o much_o as_o if_o the_o polestar_n in_o eudozus_fw-la time_n move_v in_o a_o parallel_n equidistant_a from_o the_o pole_n of_o the_o equatour_n which_o he_o seem_v to_o contend_v then_o must_v also_o the_o star_n of_o aries_n which_o be_v find_v once_o to_o be_v in_o the_o point_n of_o the_o vernal_a equinoxe_n move_v always_o in_o the_o equinoctial_a circle_n and_o never_o vary_v from_o it_o which_o be_v contrary_a to_o all_o the_o testimony_n before_o allege_v second_o where_o he_o say_v that_o copernicus_n perceive_v this_o error_n leave_v a_o base_a discovery_n without_o any_o demonstration_n except_o only_o 〈◊〉_d 〈◊〉_d 〈◊〉_d 〈◊〉_d 〈◊〉_d i_o will_v know_v how_o joseph_n scaliger_n by_o any_o other_o mean_n come_v to_o know_v it_o i_o always_o suppose_v it_o a_o principle_n among_o mathematician_n that_o the_o 〈◊〉_d 〈◊〉_d 〈◊〉_d 〈◊〉_d 〈◊〉_d have_v be_v the_o sure_a ground_n of_o mathematical_a demonstration_n for_o every_o reason_n which_o can_v be_v allege_v must_v of_o necessity_n be_v ground_v on_o mere_a conjecture_n as_o forge_v in_o a_o man_n brain_n without_o any_o observation_n of_o nature_n or_o else_o suggest_v unto_o we_o from_o the_o thing_n themselves_o how_o little_a dependency_n be_v on_o the_o former_a let_v every_o man_n judge_v where_o it_o be_v as_o easy_a for_o every_o man_n to_o deny_v as_o affirm_v and_o such_o fancy_n be_v better_o reserve_v in_o the_o brain_n wherein_o they_o be_v first_o hatch_v then_o be_v suffer_v to_o proceed_v further_o if_o we_o derive_v our_o argument_n as_o we_o ought_v to_o do_v from_o the_o footstep_n of_o nature_n we_o must_v draw_v it_o either_o from_o the_o form_n itself_o or_o from_o some_o effect_n or_o propriety_n arise_v from_o it_o the_o former_a be_v unpossible_a i_o may_v well_o say_v in_o any_o thing_n because_o the_o first_o form_n and_o nature_n no_o way_n discover_v itself_o to_o our_o understanding_n but_o by_o the_o apparent_a accident_n much_o less_o can_v this_o be_v hope_v for_o in_o the_o heaven_n be_v as_o far_o distant_a from_o we_o in_o space_n as_o nature_n if_o then_o we_o be_v leave_v only_o to_o the_o late_a what_o other_o ground_n can_v we_o have_v of_o our_o argumentation_n than_o the_o 〈◊〉_d 〈◊〉_d 〈◊〉_d 〈◊〉_d 〈◊〉_d or_o apparence_n which_o kind_n of_o way_n scaliger_n in_o copernicus_n strive_v to_o sleight_n or_o reject_v as_o weak_a or_o deficient_a take_v then_o this_o to_o be_v the_o only_a way_n to_o search_v as_o near_o as_o we_o can_v into_o the_o truth_n of_o their_o matter_n we_o will_v in_o the_o three_o place_n show_v how_o far_o it_o may_v oppose_v scaliger_n and_o favour_v our_o assertion_n that_o the_o first_o star_n of_o aries_n be_v more_o distant_a from_o the_o equinoctial_a point_n be_v a_o matter_n which_o seem_v to_o be_v agree_v on_o by_o all_o side_n this_o appearance_n must_v necessary_o arise_v out_o of_o some_o motion_n this_o motion_n must_v be_v seek_v either_o in_o the_o earth_n as_o copernicus_n will_v have_v or_o in_o the_o heaven_n that_o it_o can_v with_o any_o great_a probability_n be_v in_o the_o earth_n we_o have_v show_v in_o the_o three_o chapter_n where_o we_o have_v prove_v it_o to_o have_v a_o magnetical_a verticity_n whereby_o it_o continual_o respect_v the_o same_o pole_n the_o argument_n i_o confess_v be_v only_o probable_a but_o this_o be_v a_o opinion_n which_o scaliger_n defend_v not_o if_o we_o seek_v this_o effect_n in_o the_o heaven_n it_o must_v of_o necessity_n which_o scaliger_n confess_v happen_v one_o of_o these_o 2_o way_n for_o either_o the_o star_n stand_v unmoveable_a the_o equinoctial_a &_o solstitial_a point_n must_v be_v move_v or_o else_o the_o star_n themselves_o shall_v move_v as_o ptolemy_n defend_v here_o i_o can_v but_o remember_v a_o merry_a answer_n of_o that_o great_a atlas_n of_o art_n sir_n henry_n savile_n in_o the_o like_a question_n be_v once_o invite_v unto_o his_o table_n and_o have_v enter_v into_o some_o familiar_a discourse_n concern_v astronomical_a supposition_n i_o ask_v he_o what_o he_o think_v of_o the_o hypothesis_n of_o copernicus_n who_o hold_v the_o sun_n to_o stand_v fix_v and_o the_o earth_n to_o be_v subject_a to_o a_o triple_a motion_n his_o answer_n be_v he_o care_v not_o which_o be_v true_a so_o the_o apparence_n be_v solue_v and_o the_o account_n exact_a since_o each_o way_n either_o the_o old_a of_o ptolemy_n or_o the_o new_a of_o copernicus_n will_v indifferent_o serve_v a_o astronomer_n be_v it_o not_o all_o one_o say_v he_o sit_v at_o dinner_n whether_o my_o table_n be_v bring_v to_o i_o or_o i_o go_v to_o my_o table_n so_o i_o eat_v my_o meat_n such_o a_o answer_n will_v aswell_o befit_v this_o question_n whether_o the_o first_o star_n of_o aries_n shall_v be_v move_v from_o the_o equinoctial_a point_n or_o the_o point_n from_o it_o it_o be_v a_o matter_n shall_v little_o trouble_v a_o cosmographer_n so_o either_o way_n may_v indifferent_o serve_v to_o salve_v the_o apparent_a observation_n but_o how_o scaliger_n upon_o this_o grant_a supposition_n will_v make_v all_o whole_a without_o disturb_v the_o order_n and_o form_n of_o nature_n in_o the_o celestial_a machine_n what_o regular_a motion_n he_o will_v give_v the_o sun_n who_o period_n describe_v the_o equinoctial_a point_n which_o he_o make_v movable_a what_o other_o pole_n he_o will_v assign_v to_o the_o world_n beside_o that_o of_o the_o equator_fw-la be_v a_o matter_n of_o a_o more_o curious_a search_n and_o beside_o the_o limit_n of_o my_o subject_n the_o full_a discussion_n of_o which_o point_n as_o most_o of_o the_o rest_n illis_fw-la relinquo_fw-la quorum_fw-la imagine_v lambunt_fw-la hederae_fw-la sequaces_fw-la 17_o the_o lesser_a parallel_n be_v equidistant_a line_n answer_v to_o the_o equator_fw-la which_o divide_v the_o globe_n of_o the_o earth_n into_o two_o unequal_a part_n 18_o these_o lesser_a parallel_n be_v again_o of_o two_o sort_n either_o name_v or_o nameless_a name_v be_v such_o as_o be_v call_v by_o special_a name_n and_o have_v more_o special_a use_n in_o geography_n such_o as_o be_v the_o two_o tropic_n and_o the_o two_o polar_a circle_n 19_o the_o tropic_n be_v parallel_n bound_v the_o sun_n great_a declination_n which_o be_v either_o to_o the_o north_n and_o be_v call_v the_o tropic_n of_o cancer_n or_o towards_o the_o south_n and_o be_v call_v the_o tropic_n of_o capricorn_n the_o tropicke_n have_v take_v their_o name_n from_o the_o conversion_n or_o turn_v back_o of_o the_o sun_n because_o the_o sun_n decline_v from_o the_o equinoctial_a circle_n either_o north_n or_o south_n proceed_v in_o his_o course_n no_o further_o than_o this_o circle_n and_o so_o turn_v back_o so_o that_o in_o the_o heaven_n they_o be_v as_o limit_n and_o bound_n comprehend_v within_o they_o that_o space_n without_o the_o which_o the_o sun_n never_o move_v consonant_a to_o these_o celestial_a tropic_n be_v there_o imagine_v in_o the_o earth_n the_o like_a immediate_o place_v under_o they_o which_o be_v apparent_a not_o only_o by_o application_n of_o the_o celestial_a globe_n and_o his_o part_n to_o the_o terrestrial_a but_o also_o out_o of_o the_o magnetical_a disposition_n of_o the_o earth_n as_o we_o have_v already_o show_v the_o tropic_n bound_v the_o sun_n great_a declination_n towards_o the_o north_n be_v call_v the_o tropic_n of_o cancer_n because_o the_o sun_n arrive_v at_o that_o tropic_n be_v lodge_v in_o the_o sign_n of_o cancer_n the_o other_o be_v term_v the_o tropic_n of_o capricorn_n because_o the_o sun_n touch_v that_o tropic_n be_v in_o that_o sign_n the_o distance_n of_o these_o tropicke_n from_o the_o equatour_n be_v ordinary_o put_v 23_o degree_n and_o 30_o minute_n which_o be_v also_o the_o distance_n of_o the_o pole_n of_o the_o ecliptic_a from_o the_o pole_n of_o the_o world_n the_o tropic_a of_o cancer_n as_o it_o be_v conceive_v in_o the_o earth_n pass_v by_o the_o great_a asia_n by_o the_o red-sea_n or_o sinus_n arabicus_n and_o china_n and_o india_n but_o the_o tropic_n of_o capricorn_n situate_v on_o the_o southern_a side_n run_v along_o by_o the_o most_o southern_a coast_n of_o africa_n and_o that_o part_n of_o america_n which_o be_v call_v brasilia_n beside_o many_o land_n in_o the_o indian_a sea_n 2_o the_o polar_a circle_n be_v parallel_n answer_v to_o the_o polar_a circle_n of_o the_o heaven_n draw_v by_o the_o pole_n of_o the_o ecliptic_a these_o be_v of_o two_o sort_n either_o the_o arctic_a compass_v round_o the_o north-pole_n or_o the_o antarctic_a compass_v round_o the_o antarctic_a or_o south_n pole_n the_o polar_a circle_n as_o they_o be_v conceive_v in_o the_o heaven_n by_o astronomer_n be_v describe_v by_o the_o pole_n of_o the_o ecliptic_a carry_v by_o the_o diurnal_a motion_n about_o the_o pole_n of_o the_o world_n correspondent_n to_o these_o circle_n in_o the_o heaven_n
of_o the_o invention_n consist_v in_o find_v out_o the_o proportion_n of_o any_o proportion_n as_o a_o degree_n half_a degree_n or_o the_o like_a to_o the_o number_n of_o mile_n or_o furlong_n answerable_a thereunto_o for_o which_o purpose_n many_o skilful_a mathematician_n have_v invent_v many_o excellent_a way_n of_o great_a use_n and_o delight_n 1_o by_o the_o elevation_n of_o the_o pole_n or_o observation_n of_o a_o eclipse_n or_o some_o know_a star_n the_o circuit_n of_o the_o earth_n may_v be_v find_v out_o by_o the_o elevation_n of_o the_o pole_n it_o be_v perform_v after_o this_o manner_n let_v there_o be_v observe_v two_o city_n or_o other_o notable_a landmark_n place_v just_a north_n and_o south_n under_o the_o same_o meridian_n in_o these_o two_o city_n or_o mark_n let_v the_o elevation_n of_o the_o pole_n be_v exact_o note_v then_o subtract_v the_o elevation_n of_o the_o southern_a city_n which_o be_v lesser_a out_o of_o the_o northern_a which_o be_v great_a the_o residue_n contain_v the_o distance_n of_o these_o place_n in_o degree_n which_o be_v experimental_o know_v by_o miles_n halfe-mile_n furlong_n or_o such_o like_a measure_n will_v show_v the_o true_a proportion_n betwixt_o a_o degree_n and_o his_o number_n of_o mile_n which_o be_v again_o multiply_v by_o 360_o will_v show_v the_o whole_a circumference_n of_o the_o earth_n for_o example_n sake_n we_o will_v take_v two_o famous_a city_n of_o england_n oxford_n and_o york_n which_o be_v situate_v if_o not_o exact_o yet_o very_a near_o the_o same_o meridian_n the_o elevation_n of_o the_o pole_n here_o with_o we_o at_o oxford_n be_v 51_o degree_n and_o 30_o minute_n at_o york_n it_o be_v 54_o degree_n 30_o minute_n or_o near_o there_o about_o subtract_v the_o lesser_a from_o the_o great_a the_o distance_n betwixt_o oxford_n and_o york_n will_v be_v three_o degree_n which_o distance_n experimental_o know_v in_o mile_n will_v show_v the_o proportion_n which_o we_o shall_v find_v to_o be_v abate_v somewhat_o in_o regard_n of_o the_o crookedness_n of_o the_o way_n about_o 180_o answer_v to_o three_o degree_n of_o the_o meridian_n wherefore_o to_o one_o degree_n will_v answer_v 60_o mile_n which_o be_v multiply_v by_o 360_o the_o whole_a circle_n will_v produce_v 21600_o the_o measure_n of_o the_o whole_a earth_n the_o like_a may_v be_v perform_v by_o a_o eclipse_n in_o two_o city_n lie_v under_o the_o equinoctial_a circle_n two_o landmark_n be_v once_o note_v out_o lie_v under_o the_o equinoctial_a let_v there_o be_v observe_v in_o both_o the_o same_o eclipse_n of_o the_o moon_n especial_o in_o the_o beginning_n now_o it_o be_v certain_o find_v out_o how_o many_o hour_n the_o eclipse_n begin_v in_o the_o one_o place_n before_o the_o other_o we_o must_v resolve_v their_o hour_n into_o degree_n which_o be_v easy_o do_v for_o as_o much_o as_o to_o every_o hour_n answer_v 15_o degree_n in_o the_o sun_n diurnal_a motion_n according_a to_o astronomer_n now_o the_o distance_n between_o these_o two_o city_n or_o mark_n be_v suppose_v first_o experimental_o to_o be_v know_v will_v easy_o show_v the_o correspondency_n betwixt_o the_o degree_n and_o mile_n which_o be_v here_o seek_v another_o way_n be_v teach_v by_o possidonius_fw-la as_o easy_a as_o the_o former_a which_o be_v perform_v by_o some_o note_v fix_v star_n as_o oculus_fw-la tauri_n arcturus_n spica_fw-la virgin_n or_o any_o other_o let_v there_o be_v observe_v under_o the_o same_o meridian_n in_o the_o earth_n two_o place_n who_o distance_n be_v experimental_o know_v in_o both_o these_o place_n let_v the_o meridian_n altitude_n of_o the_o star_n be_v full_o and_o perfect_o observe_v the_o difference_n of_o these_o two_o altitude_n will_v be_v the_o number_n of_o degree_n betwixt_o these_o two_o place_n whence_o we_o may_v observe_v how_o many_o mile_n or_o other_o partsanswer_n to_o the_o number_n of_o these_o degree_n betwixt_o these_o two_o place_n this_o way_n by_o clavius_n be_v prefer_v before_o the_o former_a for_o as_o much_o as_o it_o require_v not_o in_o any_o place_n the_o knowledge_n of_o the_o elevation_n of_o the_o pole_n which_o in_o any_o place_n can_v be_v certain_o know_v without_o long_a and_o diligent_a search_n and_o observation_n as_o for_o geographical_a table_n they_o be_v not_o always_o at_o all_o time_n to_o be_v have_v at_o least_o worthy_a credit_n 2_o by_o the_o observation_n of_o the_o noone-shadowe_n the_o measure_n of_o the_o earth_n may_v be_v find_v out_o this_o way_n be_v invent_v by_o eratosthenes_n a_o famous_a mathematician_n who_o by_o observation_n of_o the_o noone-shadowe_n observe_v at_o the_o same_o time_n at_o two_o diverse_a place_n situate_v under_o the_o same_o meridian_n find_v out_o the_o circumference_n of_o the_o earth_n the_o place_n which_o he_o choose_v for_o this_o purpose_n be_v see_z and_o alexandria_n situate_v under_o the_o same_o meridian_n the_o one_o incline_v to_o the_o south_n the_o other_o to_o the_o north._n the_o distance_n betwixt_o these_o two_o place_n be_v suppose_v to_o be_v know_v whence_o he_o proceed_v in_o this_o manner_n first_o he_o erect_v a_o gnomon_n at_o right_a angle_n on_o the_o plain_a of_o the_o horizon_n when_o the_o sun_n be_v in_o the_o begin_n of_o cancer_n call_v the_o solstice_n from_o which_o he_o imagine_v two_o ray_n or_o beam_n to_o be_v cast_v at_o noon_n the_o one_o pass_v by_o see_z the_o most_o southern_a part_n the_o other_o by_o alexandria_n the_o most_o northern_a so_o that_o at_o see_z the_o sun_n be_v then_o in_o the_o solstice_n pass_v into_o the_o centre_n of_o the_o world_n the_o place_n be_v suppose_v to_o have_v be_v situate_a under_o the_o tropic_n the_o other_o pass_v by_o the_o vertex_fw-la of_o the_o say_v gnomon_n whence_o by_o proportion_n of_o the_o shadow_n to_o the_o gnomon_n by_o a_o geometrical_a kind_n of_o work_v he_o find_v out_o the_o place_n between_o alexandria_n and_o see_z which_o demonstration_n formoreevidence_n we_o will_v here_o set_v down_o let_v there_o be_v in_o the_o earth_n describe_v a_o circle_n pass_v by_o alexandria_n and_o see_z in_o which_o let_v a_o be_v the_o place_n where_o alexandria_n stand_v b_o the_o place_n of_o see_z the_o gnomon_n or_o style_n erect_v at_o alexandria_n ad_fw-la the_o sunbeam_n carry_v to_o the_o centre_n of_o the_o world_n at_o sienna_n fbc_n the_o sunbeam_n pass_v by_o the_o vertex_fw-la or_o top_n of_o the_o gnomon_n seat_v at_o alexandria_n edg_n cast_v his_o shadow_n agnostus_n towards_o the_o north_n let_v the_o gnomon_n be_v conceive_v to_o be_v prolong_v unto_o the_o centre_n c_o now_o for_o as_o much_o as_o in_o the_o triangle_n adg_n the_o arch_n agnostus_n without_o any_o sensible_a difference_n may_v be_v take_v for_o a_o right_a line_n have_v a_o insensible_a magnitude_n in_o regard_n of_o the_o whole_a earth_n and_o the_o angle_n a_o be_v a_o right_a angle_n and_o the_o two_o side_n ad_fw-la and_o agnostus_n know_v the_o former_a by_o supposition_n be_v a_o gnomon_n take_v at_o our_o pleasure_n the_o latter_a by_o any_o measure_n or_o at_o least_o by_o the_o know_a proportion_n of_o the_o shadow_n to_o the_o gnomon_n according_a to_o the_o doctrine_n of_o triangle_n the_o angle_n adg_n will_v be_v know_v for_o whereas_o the_o side_n ad_fw-la and_o agnostus_n be_v suppose_v to_o be_v know_v their_o quadrant_n also_o will_v be_v know_v which_o be_v equal_a to_o the_o square_n make_v of_o dg_n by_o the_o 47_o proposition_n of_o the_o 1_o of_o euclid_n the_o right_a side_n dg_n will_v easy_o be_v know_v out_o of_o these_o ground_n by_o the_o doctrine_n of_o the_o sin_n and_o tangent_n be_v easy_o find_v out_o the_o angle_n adg_n and_o by_o consequence_n the_o alternate_a angle_n acb_n which_o by_o the_o 27_o of_o the_o first_o of_o euclid_n be_v equal_a unto_o it_o for_o as_o much_o as_o the_o two_o radii_fw-la fbc_n and_o fdg_n may_v be_v suppose_v to_o be_v parallel_n in_o so_o small_a a_o distance_n as_o alexandria_n &_o see_z compare_v with_o the_o sun_n the_o angle_n be_v know_v the_o arch_n ab_fw-la subtend_v to_o the_o angle_n c_o will_n also_o be_v know_v which_o be_v the_o space_n intercept_v betwixt_o see_z and_o alexandria_n and_o for_o example_n sake_n if_o eratosthenes_n as_o some_o write_v find_v out_o the_o arch_n ab_fw-la to_o contain_v in_o degree_n 85_o and_o experience_n have_v teach_v the_o length_n of_o the_o journey_n betwixt_o these_o city_n to_o have_v contain_v 6183_o ½_o furlong_n it_o will_v appear_v by_o the_o golden_a rule_n that_o 360_o degree_n contain_v the_o whole_a circuit_n of_o the_o earth_n must_v proportional_o answer_v to_o 252000_o furlong_n 1_o the_o opinion_n of_o cosmographer_n concern_v the_o measure_n of_o the_o earth_n be_v diverse_a which_o be_v chief_o to_o be_v impute_v to_o their_o error_n in_o observe_v the_o distance_n of_o place_n
circle_n &_o the_o diameter_n be_v the_o ground_n of_o the_o quadrature_n of_o a_o circle_n be_v a_o matter_n which_o have_v set_v a_o work_n the_o great_a wit_n of_o the_o world_n have_v notwithstanding_o as_o yet_o by_o no_o man_n be_v bring_v to_o discovery_n in_o so_o much_o as_o pitiscus_n and_o other_o good_a mathematician_n may_v well_o doubt_v whether_o ever_o it_o will_v come_v to_o light_v nevertheless_o where_o exactness_n can_v be_v find_v we_o must_v come_v as_o near_o as_o we_o can_v the_o near_a proportion_n in_o number_n which_o any_o can_v yet_o light_v on_o be_v as_o 22_o to_o 7_o which_o in_o so_o great_a and_o massy_a a_o body_n as_o the_o earth_n may_v pass_v without_o any_o sensible_a or_o explicable_a error_n suppose_v then_o out_o of_o our_o precedent_a supposition_n the_o whole_a circuit_n of_o the_o earth_n to_o be_v 21600_o italian-mile_n which_o be_v the_o common_a opinion_n now_o receive_v i_o multiply_v according_a to_o the_o golden_a rule_n 21600_o by_o 7_o whence_o will_v arise_v 151200_o which_o be_v divide_v by_o 22_o the_o quotient_n will_v render_v 6872_o 11_o 8_o which_o be_v the_o diameter_n or_o thickness_n of_o the_o earth_n some_o less_o curious_a be_v content_a to_o take_v only_o the_o three_o part_n of_o the_o circumference_n for_o the_o diameter_n which_o will_v be_v 7200_o which_o account_n be_v less_o exact_a yet_o sufficient_a for_o a_o ordinary_a cosmographer_n for_o as_o much_o as_o 328_o mile_n which_o be_v the_o difference_n be_v of_o no_o great_a moment_n in_o the_o measure_n of_o the_o whole_a earth_n 2_o by_o the_o know_a height_n of_o some_o mountain_n without_o the_o knowledge_n of_o the_o circumference_n of_o the_o earth_n the_o diameter_n may_v be_v find_v out_o this_o be_v a_o way_n invent_v by_o maurolycus_n which_o proceed_v in_o a_o contrary_a manner_n to_o the_o former_a because_o the_o former_a by_o the_o circumference_n first_o suppose_v to_o be_v know_v show_v we_o a_o way_n to_o find_v out_o a_o diameter_n but_o this_o first_o seek_v out_o the_o diameter_n by_o which_o we_o may_v find_v out_o the_o circumference_n the_o practice_n be_v in_o this_o manner_n let_v the_o circuit_n of_o the_o earth_n be_v conceive_v to_o be_v bcd_v as_o we_o see_v in_o this_o figure_n in_o which_o let_v there_o be_v choose_v a_o high_a mountain_n who_o altitude_n ab_fw-la may_v be_v know_v by_o the_o rule_n of_o measure_v altitude_n then_o from_o the_o mountain_n top_n a_o by_o the_o rule_n of_o measure_v longitude_n must_v the_o whole_a space_n of_o sea_n or_o land_n be_v measure_v so_o far_o as_o it_o can_v be_v see_v so_o that_o the_o visual_a beam_n ac_fw-la may_v touch_v the_o superficies_n of_o the_o earth_n in_o c_o let_v the_o space_n they_o which_o be_v see_v in_o the_o earth_n be_v bc_n which_o although_o in_o itself_o it_o be_v crooked_a and_o not_o plain_a yet_o can_v it_o not_o sensible_o differ_v from_o a_o plain_a for_o as_o much_o as_o the_o arch_a bc_n be_v extraordinary_o little_a if_o compare_v with_o the_o whole_a earth_n these_o ground_n thus_o lay_v we_o must_v proceed_v by_o a_o geometrical_a manner_n of_o argumentation_n in_o this_o sort_n here_o be_v to_o be_v observe_v four_o right_a line_n whereof_o the_o first_o be_v ab_fw-la the_o height_n of_o the_o mountain_n observe_v the_o second_o be_v the_o visual_a ray_n ac_fw-la the_o three_o ad_fw-la consist_v of_o the_o height_n of_o the_o mountain_n and_o the_o diameter_n of_o the_o earth_n the_o four_o bc_n the_o distance_n which_o be_v see_v for_o as_o we_o have_v show_v it_o may_v without_o sensible_a error_n be_v take_v for_o a_o right_a line_n now_o for_o as_o much_o as_o ab_fw-la bc_n be_v know_v their_o quadrate_n by_o the_o 47_o proposition_n of_o the_o first_o of_o euclid_n will_v also_o be_v know_v which_o be_v equal_a to_o the_o square_n of_o ac_fw-la the_o square_a of_o the_o right_a line_n ac_fw-la will_v likewise_o be_v know_v but_o the_o square_n of_o the_o right_a line_n ac_fw-la since_o it_o touch_v the_o circle_n will_v be_v equal_a to_o a_o right_a angle_n figure_n contain_v under_o da_fw-la ab_fw-la wherefore_o the_o right_a angle_n so_o conceive_v will_v be_v know_v but_o ab_fw-la be_v the_o know_a height_n of_o the_o mountain_n wherefore_o the_o right_a line_n ad_fw-la will_n easy_o be_v know_v if_o we_o divide_v the_o know_v right_a angle_n contain_v under_o ab_fw-la ad_fw-la by_o the_o right_a line_n ab_fw-la for_o the_o quotient_n will_v give_v the_o right_a line_n ad_fw-la from_o which_o if_o we_o subduct_v ab_fw-la the_o know_a height_n of_o the_o mountain_n then_o will_v remain_v the_o diameter_n of_o the_o earth_n bd_o which_o be_v here_o to_o be_v perform_v from_o this_o invention_n will_v arise_v this_o corollary_n 1_o the_o diameter_n of_o the_o earth_n first_o suppose_v to_o be_v know_v the_o circumference_n may_v be_v find_v out_o in_o this_o manner_n as_o 7_o be_v in_o proportion_n to_o 22_o so_o be_v the_o diameter_n to_o the_o circumference_n 2_o wherefore_o let_v the_o know_a number_n of_o the_o diameter_n be_v multiply_v by_o 22_o and_o the_o product_n be_v divide_v by_o 7_o the_o quotient_n will_v give_v the_o circumference_n as_o for_o example_n according_a to_o our_o former_a instance_n let_v we_o suppose_v the_o diameter_n of_o the_o earth_n to_o be_v 6872_o 8_o 11_o this_o number_n be_v multiply_v by_o 22_o will_v produce_v 15120_o which_o product_v divide_v by_o 7_o we_o shall_v find_v in_o the_o quotient_a 21600_o which_o be_v the_o circumference_n of_o the_o earth_n 7_o the_o compound_a dimension_n according_a to_o which_o the_o sphere_n of_o the_o earth_n be_v propose_v to_o be_v measure_v be_v either_o the_o superficies_n or_o the_o solidity_n 8_o the_o superficies_n be_v again_o twofold_a either_o plain_a or_o conuexe_n the_o plain_n be_v the_o space_n include_v in_o the_o perimeter_n 9_o the_o plain_a superficies_n may_v be_v find_v out_o two_o way_n either_o by_o the_o circumference_n or_o the_o diameter_n both_o which_o way_n teach_v in_o these_o rule_n 1_o if_o the_o whole_a circumference_n be_v multiply_v in_o itself_o and_o the_o product_n be_v divide_v by_o 12_o 4_o 7_o the_o quotient_n will_v show_v the_o superficies_n include_v in_o the_o circle_n as_o in_o the_o former_a example_n we_o will_v take_v the_o circumference_n of_o the_o earth_n to_o be_v 21600_o italian-mile_n let_v this_o number_n be_v multiply_v in_o itself_o and_o the_o product_n thereof_o divide_v by_o 12_o 4_o 7_o the_o quotient_n will_v amount_v unto_o 9278180_o which_o be_v the_o plain_a superficies_n of_o the_o earth_n 2_o if_o the_o semi-diameter_n of_o a_o circle_n be_v multiply_v by_o the_o half_a part_n of_o the_o circumference_n there_o will_v arise_v the_o measure_n of_o the_o plain_a superficies_n contain_v in_o the_o circumference_n the_o reason_n hereof_o be_v show_v by_o clavius_n in_o his_o tract_n de_fw-la isoperimetris_fw-la proposit._fw-la 4._o where_o be_v demonstrate_v that_o a_o right_a angle_n figure_v comprehend_v of_o the_o semi-diameter_n of_o any_o circle_n and_o the_o half_a of_o the_o circumference_n will_v be_v equal_a to_o the_o circle_n itself_o of_o who_o part_n it_o be_v comprehend_v 10_o so_o much_o concern_v the_o plain_a superficies_n the_o knowledge_n and_o invention_n of_o the_o conuexe_n may_v be_v perform_v two_o way_n either_o by_o the_o diameter_n and_o circumference_n or_o else_o by_o the_o space_n contain_v within_o the_o circumference_n according_a to_o these_o proposition_n 1_o if_o the_o circumference_n and_o diameter_n be_v multiply_v the_o one_o into_o the_o other_o the_o product_n will_v show_v the_o number_n of_o square_a mile_n in_o the_o face_n of_o the_o terrestrial_a globe_n as_o for_o example_n let_v the_o diameter_n of_o the_o earth_n contain_v according_a to_o the_o common_a account_n 80111_o 9_o 12_o furlong_n be_v multiply_v by_o the_o whole_a circumference_n which_o be_v 252000_o there_o will_v arise_v the_o conuexe_n superficies_n of_o the_o whole_a earthly_a sphere_n which_o be_v 20205818181_o 9_o 11._o 2_o if_o the_o space_n contain_v in_o the_o great_a circle_n in_o the_o sphere_n be_v multiply_v by_o 4_o there_o will_v be_v produce_v the_o whole_a convexe_n superficies_n of_o the_o sphere_n how_o to_o find_v out_o the_o space_n or_o plain_a superficies_n be_v a_o matter_n teach_v before_o which_o be_v once_o find_v be_v easy_o multiply_v by_o 4_o and_o so_o will_v give_v we_o the_o number_n seek_v 11_o the_o last_o and_o great_a compound_n dimension_n according_a to_o which_o the_o earth_n be_v measure_v be_v the_o solidity_n consist_v of_o length_n breadth_n and_o height_n or_o thickness_n this_o may_v be_v find_v out_o two_o way_n either_o by_o the_o diameter_n and_o conuexe_v superficies_n first_o suppose_v to_o be_v know_v or_o by_o the_o knowledge_n of_o a_o great_a circle_n without_o suppose_v
the_o supperficies_n to_o be_v first_o know_v both_o way_n shall_v be_v express_v in_o these_o proposition_n 1_o if_o the_o semidiameter_n of_o the_o sphere_n be_v multiply_v into_o the_o three_o part_n of_o the_o conuex_n superficies_n of_o the_o say_a sphere_n there_o will_v arise_v the_o whole_a solidity_n of_o the_o earth_n this_o be_v demonstrate_v by_o geometrician_n for_o a_o solid_a rectangle_n comprehend_v of_o the_o semidiameter_n of_o the_o sphere_n and_o the_o three_o of_o the_o convex_a superficies_n of_o it_o will_v be_v equal_a to_o the_o sphere_n itself_o as_o for_o example_n if_o the_o semidiameter_n of_o the_o earth_n contain_v 40090_o 10_o 11_o furlong_n be_v multiply_v by_o the_o three_o part_n of_o the_o conuex_n superficies_n contain_v to_o wit_n 67352727_o 3_o 11_o there_o will_v arise_v the_o solidity_n of_o the_o earth_n which_o will_v contain_v 27002-3_a 06611570_o 3_o 11_o cubic_n furlong_n that_o be_v the_o solidity_n of_o the_o earth_n will_v comprehend_v so_o many_o cube_n cantain_v every_o side_n so_o many_o furlong_n as_o there_o be_v unity_n in_o the_o say_a number_n for_o the_o areae_fw-la or_o space_n comprehend_v of_o solid_a figure_n be_v measure_v by_o the_o cube_n of_o those_o line_n by_o who_o square_n the_o conuexe_n superficies_n of_o those_o line_n be_v measure_v 2_o if_o the_o great_a circle_n be_v multiply_v by_o ⅔_n of_o the_o whole_a diameter_n the_o product_n will_v show_v the_o solidity_n of_o the_o sphere_n this_o way_n be_v also_o demonstrate_v by_o clavius_n in_o the_o same_o tract_n of_o measure_v magnitude_n it_o may_v arithmetical_o be_v deduce_v in_o this_o sort_n if_o any_o sphere_n whatsoever_o have_v a_o diameter_n of_o 14_o palm_n and_o shall_v be_v multiply_v by_o 3_o 1_o 7_o the_o circumference_n of_o the_o great_a circle_n contain_v it_o will_v be_v find_v to_o be_v 44_o who_o half_o be_v 22_o if_o it_o be_v multiply_v into_o the_o semidiameter_n 7_o there_o will_v arise_v the_o superficies_n of_o the_o great_a circle_n 154_o which_o number_n if_o we_o multiply_v by_o two_o three_o part_n of_o the_o diameter_n that_o be_v by_o 9⅓_n there_o will_v be_v produce_v the_o solidity_n of_o the_o say_a sphere_n to_o wit_n consist_v of_o 1437_o ⅔_n cubic_n palm_n in_o the_o like_a sort_n may_v we_o work_v by_o mile_n or_o furlong_n in_o measure_v the_o whole_a terrestrial_a globe_n which_o be_v a_o more_o convenient_a measure_n for_o the_o massy_a globe_n of_o the_o earth_n chap._n ix_o of_o the_o zone_n climate_n and_o parallel_n 1_o of_o the_o measure_n of_o the_o earth_n we_o have_v treat_v in_o our_o former_a chapter_n in_o the_o next_o place_n we_o must_v speak_v of_o the_o distinction_n of_o the_o terrestrial_a sphere_n which_o be_v either_o in_o regard_n of_o space_n or_o distance_n 2_o space_n be_v portion_n in_o the_o sphere_n bound_v by_o the_o parallel_n circle_n such_o as_o be_v the_o zone_n climate_n and_o parallel_n 3_o these_o be_v again_o consider_v two_o way_n either_o in_o themselves_o or_o else_o in_o their_o adjunct_n or_o inhabitant_n belong_v to_o they_o 4_o a_o zone_n be_v a_o space_n include_v betwixt_o two_o lesser_a and_o name_v circle_n or_o else_o betwixt_o a_o lesser_a circle_n and_o the_o pole_n of_o the_o world_n the_o space_n into_o which_o the_o terrestrial_a sphere_n be_v divide_v be_v either_o great_a or_o lesser_a the_o great_a be_v a_o hemisphere_n which_o arise_v out_o of_o one_o only_a circle_n by_o itself_o without_o the_o combination_n of_o more_o such_o be_v chief_o of_o three_o sort_n the_o first_o be_v make_v by_o the_o equatour_n which_o divide_v the_o whole_a globe_n into_o the_o north_n and_o the_o south_n hemisphere_n the_o second_o be_v of_o the_o meridian_n who_o office_n it_o be_v to_o part_v the_o earth_n into_o the_o eastern_a and_o western_a hemisphere_n the_o three_o of_o the_o horizon_n which_o divide_v the_o sphere_n into_o the_o upper_a and_o low_a half_n but_o these_o part_n arise_v as_o i_o say_v out_o of_o one_o only_a circle_n be_v handle_v before_o with_o the_o circle_n themselves_o in_o this_o place_n we_o be_v to_o speak_v of_o such_o part_n as_o arise_v out_o of_o the_o combination_n and_o respect_n of_o circle_n one_o with_o another_o such_o as_o be_v the_o zone_n climate_n and_o parallel_n a_o zone_n signify_v as_o much_o as_o a_o girdle_n or_o band_n because_o by_o it_o the_o space_n in_o the_o earth_n be_v as_o it_o be_v with_o large_a band_n compass_v about_o the_o grecian_n have_v sometime_o give_v this_o name_n zone_n to_o the_o orb_n of_o the_o planet_n as_o theon_n alexandrinus_n in_o his_o comment_n on_o aratus_n in_o these_o word_n 〈◊〉_d 〈◊〉_d 〈◊〉_d 〈◊〉_d 〈◊〉_d there_o be_v say_v he_o in_o the_o heaven_n seven_o zone_n not_o contorminate_a with_o the_o zodiac_n whereof_o the_o first_o be_v possess_v by_o saturn_n the_o second_o by_o jupiter_n etc._n etc._n but_o this_o acception_n of_o the_o name_n be_v far_o off_o from_o our_o purpose_n the_o name_n zone_n as_o it_o be_v with_o we_o in_o use_n be_v by_o the_o latin_a poet_n render_v sometime_o facia_n sometime_o plaga_fw-la both_o signify_v one_o and_o the_o selfsame_o thing_n which_o be_v as_o much_o as_o a_o space_n comprehend_v within_o two_o name_v and_o lesser_a parallel_n or_o at_o least_o betwixt_o such_o a_o parallel_n and_o the_o pole_n itself_o because_o as_o we_o shall_v show_v hereafter_o zone_n be_v of_o two_o sort_n these_o zone_n be_v in_o number_n five_o which_o division_n have_v be_v familiar_a with_o our_o latin_a poet_n as_o may_v appear_v by_o these_o verse_n of_o virgil._n quinque_fw-la tenent_fw-la coelum_fw-la zonae_fw-la quarum_fw-la una_fw-la corusco_fw-la semper_fw-la sole_fw-la rubens_fw-la &_o torrida_fw-la semper_fw-la ab_fw-la igne_fw-la quam_fw-la circum_fw-la extremae_fw-la dextrâ_fw-la laeuáque_fw-la trahuntur_fw-la caerule_n â_fw-la glacie_n concretae_fw-la atque_fw-la imbribus_fw-la atris_fw-la have_v inter_fw-la mediamque_fw-la dvae_fw-la mortalibus_fw-la aegris_fw-la munere_fw-la concessae_fw-la diuûm_fw-la etc._n etc._n five_o zone_n engird_v the_o sky_n whereof_o one_o fry_v with_o fiery_a sunbeam_n and_o all_o scorch_a lie_n about_o which_o the_o far_a off_o on_o either_o hand_n the_o blew-eyed_n ice_n and_o brackish_a shower_n command_v betwixt_o these_o two_o and_o the_o midst_n the_o god_n do_v give_v a_o wholesome_a place_n for_o wretched_a man_n to_o live_v which_o description_n of_o virgil_n little_o differ_v from_o that_o we_o find_v in_o ovid_n in_o these_o verse_n duae_fw-la dextrâ_fw-la coelum_fw-la totidemque_fw-la sinistrâ_fw-la parte_fw-la secant_fw-la zonae_fw-la quinta_fw-la est_fw-la ardentior_fw-la illis_fw-la sic_fw-la onus_fw-la inclusum_fw-la numero_fw-la distinxit_fw-la eodem_fw-la cura_fw-la dei_fw-la totidemque_fw-la plagae_fw-la tellure_n premuntur_fw-la quarum_fw-la quae_fw-la media_fw-la est_fw-la non_fw-la est_fw-la habitabilis_fw-la aestu_fw-la nix_n ●egit_fw-la alta_fw-la dvas_fw-la totidem_fw-la inter_fw-la utramque_fw-la locavit_fw-la temperiemque_fw-la dedit_fw-la mista_fw-la cum_fw-la frigore_fw-la flamma_n two_o girdle_n on_o the_o right_a hand_n on_o the_o left_a as_o many_o cut_v the_o sky_n more_o hot'_v the_o five_o so_o god_n divide_v with_o a_o equal_a hand_n into_o so_o many_o parcel_n cut_v the_o land_n the_o midst_n through_o heat_n afford_v no_o dweller_n ease_n the_o deep_a snow_n wrap_v up_o two_o but_o betwixt_o these_o and_o the_o other_o region_n be_v two_o place_n set_v where_o frost_n be_v mix_v with_o fire_n and_o cold_a with_o heat_n but_o because_o this_o enumeration_n and_o description_n of_o the_o zone_n set_v down_o by_o the_o poet_n seem_v too_o popular_a and_o general_a we_o will_v more_o special_o divide_v they_o according_a to_o the_o method_n of_o our_o time_n in_o this_o manner_n 5_o the_o zone_n be_v either_o untemperate_a or_o temperate_a the_o untemperate_a be_v again_o twofold_a either_o cold_a or_o hot_a 6_o the_o intemperate_a hot_a zone_n be_v the_o space_n contain_v betwixt_o the_o two_o tropic_n circle_n of_o cancer_n and_o capricorn_n how_o unapt_o these_o name_n of_o temperate_a &_o untemperate_a agree_v to_o the_o zone_n consider_v in_o their_o own_o nature_n we_o shall_v speak_v in_o our_o second_o part_n yet_o because_o i_o think_v it_o unfit_a to_o use_v other_o term_n than_o the_o ancient_n i_o will_v not_o coin_n new_a name_n this_o zone_n or_o space_n include_v betwixt_o the_o two_o tropic_n circumscribe_v within_o it_o two_o great_a circle_n whereof_o the_o one_o be_v the_o equatour_n run_v just_a in_o the_o midst_n neither_o incline_v to_o the_o north_n or_o south_n the_o other_o be_v the_o ecliptic_a oblique_o cross_v it_o and_o meeting_n the_o two_o tropic_n twice_o in_o a_o year_n in_o the_o spring_n and_o autumn_n the_o extent_n or_o breadth_n of_o this_o zone_n then_o be_v equal_a to_o the_o distance_n betwixt_o these_o two_o tropic_n to_o wit_n 47_o degree_n which_o make_v 2820_o mile_n because_o from_o the_o equatour_n to_o either_o
92_o 3_o it_o be_v probable_a that_o the_o sea_n be_v carry_v somewhere_o from_o east_n to_o west_n and_o somewhere_o from_o north_n to_o south_n &_o contrariwise_o 98_o 4_o of_o the_o violent_a motion_n of_o the_o sea_n cause_v by_o wind_n 101_o 5_o to_o some_o certain_a place_n at_o certain_a time_n belong_v certain_a wind_n 102_o 6_o the_o violence_n of_o the_o wind_n make_v the_o sea_n sometime_o in_o some_o place_n transcend_v his_o ordinary_a bound_n 103_o chap._n vii_o of_o the_o depth_n situation_n and_o termination_n of_o the_o sea_n 1_o the_o ordinary_a depth_n of_o the_o sea_n be_v common_o answerable_a to_o the_o ordinary_a height_n of_o the_o main_a land_n above_o the_o water_n and_o the_o whirlpool_n &_o extraordinary_a depth_n answer_v to_o the_o height_n of_o the_o mountain_n above_o the_o ordinary_a height_n of_o the_o earth_n 104_o 2_o the_o superficies_n of_o the_o sea_n be_v somewhere_o high_a than_o the_o superficies_n of_o the_o earth_n somewhere_o low_a 109_o 3_o the_o sea_n in_o respect_n of_o the_o earth_n be_v high_a in_o one_o place_n then_o another_o 111_o 4_o the_o water_n be_v so_o divide_v from_o the_o dry-land_n that_o the_o quantity_n of_o water_n be_v great_a in_o the_o southern_a hemisphere_n of_o land_n in_o the_o northern_a 115_o 5_o the_o whole_a globe_n of_o the_o earth_n be_v environ_v round_o with_o sea_n betwixt_o east_n and_o west_n 116_o 6_o it_o be_v probable_a that_o the_o earth_n be_v enuirnoe_v round_o with_o water_n from_o north_n to_o south_n of_o the_o northwest_n passage_n 117_o chap._n viii_o ofsea_n traffic_n and_o merchandise_n 1_o navigation_n first_o teach_v by_o almighty_a god_n be_v afterward_o second_v by_o the_o industry_n of_o famous_a man_n in_o all_o age_n 132_o 2_o navigation_n be_v very_o necessary_a as_o well_o for_o the_o increase_n of_o knowledge_n as_o riches_n 135_o chap._n ix_o of_o pedography_n rivers_n lake_n and_o fountain_n in_o the_o earth_n 1_o all_o river_n have_v their_o original_n from_o the_o sea_n the_o mother_n of_o river_n 142_o 2_o all_o river_n and_o fountain_n be_v not_o from_o the_o beginning_n 155_o 3_o many_o river_n be_v for_o a_o great_a space_n of_o land_n swallow_v up_o of_o the_o earth_n whereof_o some_o after_o a_o certain_a distance_n rise_v again_o 156_o 4_o river_n for_o the_o most_o part_n rise_v out_o of_o great_a mountain_n and_o at_o last_o by_o diverse_a or_o one_o inlet_n be_v disburden_v into_o the_o sea_n 157_o 5_o diverse_a fountain_n be_v endow_v with_o diverse_a admirable_a virtue_n and_o operation_n 159_o 6_o place_n near_o great_a river_n and_o lake_n be_v most_o commodious_a for_o habitation_n 162_o 7_o of_o lake_n and_o their_o cause_n 162_o 8_o it_o be_v probable_a that_o some_o lake_n have_v some_o secret_a intercourse_n with_o the_o sea_n under_o ground_n 163_o chap._n x._o of_o mountain_n valley_n plaine-region_n woody_a and_o champion_n country_n 1_o mountain_n valley_n and_o plain_n be_v create_v in_o the_o beginning_n and_o few_o make_v by_o the_o violence_n of_o the_o deluge_n 165_o 2_o the_o perpendicular_a height_n of_o the_o high_a mountain_n seldom_o exceed_v 10_o furlong_n 169_o 3_o the_o ordinary_a height_n of_o the_o land_n above_o the_o sea_n in_o diverse_a place_n be_v more_o than_o the_o height_n of_o the_o high_a mountain_n above_o the_o ordinary_a face_n of_o the_o earth_n 171_o 4_o mountain_n country_n be_v common_o cold_a than_o plain_a 172_o 5_o mountain_n since_o the_o begin_n of_o the_o world_n have_v still_o decrease_v in_o their_o quantity_n and_o so_o will_v unto_o the_o end_n 174_o 6_o of_o wood_n and_o their_o nature_n 178_o 7_o wood_n be_v not_o so_o frequent_a or_o great_a as_o in_o ancient_a time_n 179_o 8_o place_n moderate_o situate_a towards_o the_o north_n or_o south-pole_n abound_v more_o in_o wood_n then_o near_o the_o equatour_n 180_o chap._n xi_o of_o land_n and_o continent_n 1_o it_o be_v probable_a that_o land_n be_v not_o from_o the_o first_o beginning_n but_o be_v afterward_o make_v by_o violence_n of_o the_o water_n 184_o 2_o peninsula_n by_o violence_n of_o the_o sea_n fret_v through_o the_o isthmus_n have_v oftentimes_o turn_v into_o land_n and_o contrariwise_o peninsalas_o by_o diminution_n of_o the_o sea_n make_v of_o land_n 189_o chap._n xii_o of_o inundation_n and_o earthquake_n 1_o no_o universal_a inundation_n of_o the_o earth_n can_v be_v natural_a the_o other_o may_v depend_v from_o natural_a cause_n 193_o 2_o particular_a alteration_n have_v happen_v to_o the_o bond_n of_o country_n by_o particular_a inundation_n 195_o 3_o certain_a region_n by_o reason_n of_o great_a river_n be_v subject_a to_o certain_a anniversary_n inundation_n 197_o 4_o region_n extreme_a cold_a or_o extreme_a hot_a be_v not_o so_o subject_a to_o earthquake_n as_o place_n of_o a_o middle_a temper_n 201_o 5_o hollow_a and_o spongy_a place_n be_v more_o subject_a to_o earthquake_n then_o solid_a and_o compact_a soil_n 202_o 6_o land_n be_v more_o often_o trouble_v with_o earthquake_n then_o the_o continent_n 203_o chap._n xiii_o of_o the_o original_a of_o inhabitant_n 1_o all_o nation_n have_v their_o first_o original_n from_o one_o stock_n whence_o afterward_o they_o become_v divide_v 206_o 2_o the_o first_o inhabitant_n of_o the_o earth_n be_v plant_v in_o paradise_n and_o thence_o translate_v to_o the_o place_n adjoin_v 208_o 3_o the_o first_o plantation_n of_o inhabitant_n immediate_o after_o the_o deluge_n begin_v in_o the_o east_n 213_o chap._n fourteen_o of_o the_o disposition_n of_o inhabitant_n in_o respect_n of_o the_o site_n 1_o the_o people_n of_o the_o northern_a hemisphere_n as_o well_o in_o riches_n and_o magnificence_n as_o valour_n science_n and_o civil_a government_n far_o surpass_v the_o people_n of_o the_o south_n hemisphere_n 221_o 2_o the_o extreme_a inhabitant_n towards_o the_o pole_n be_v in_o complexion_n hot_a and_o moist_a those_o towards_o the_o equatour_n cold_a and_o dry_a those_o of_o the_o middle_a partake_n of_o a_o middle_a temper_n 226_o 3_o the_o extreme_a inhabitant_n towards_o the_o pole_n be_v natural_o incline_v to_o mechanical_a work_n and_o martial_a endeavour_n the_o extreme_a towards_o the_o equatour_n to_o work_n of_o religion_n and_o contemplation_n the_o middle_n to_o law_n and_o civility_n 232_o 4_o the_o people_n of_o the_o extreme_a region_n towards_o the_o pole_n in_o martial_a prowess_n have_v common_o prove_v strong_a than_o those_o near_a the_o equatour_n but_o the_o middle_a people_n more_o provident_a then_o either_o in_o the_o establishment_n and_o preservation_n of_o commonwealth_n 236_o 5_o the_o extreme_a region_n in_o manner_n action_n and_o custom_n be_v clean_o opposite_a the_o one_o to_o the_o other_o the_o middle_n partake_v a_o mixture_n of_o both_o 239_o 6_o the_o people_n of_o the_o eastern_a hemisphere_n in_o science_n religion_n civility_n and_o magnificence_n and_o almost_o in_o every_o thing_n else_o be_v far_o superior_a to_o the_o inhabitant_n of_o the_o western_a 250_o 7_o the_o western_a people_n have_v be_v observe_v to_o be_v more_o happy_a and_o able_a in_o martial_a discipline_n the_o eastern_a in_o witty_a contemplation_n and_o contemplative_a science_n 252_o 8_o the_o eastern_a part_n of_o the_o western_a hemisphere_n be_v people_v before_o the_o western_a 255_o chap._n xv._n of_o the_o diversity_n of_o disposition_n in_o regard_n of_o the_o soil_n 1_o mountaine-people_n be_v for_o the_o most_o part_n more_o stout_a warlike_a and_o generous_a than_o those_o of_o plain_a country_n yet_o less_o tractable_a to_o government_n 256_o 2_o windy_a region_n produce_v man_n of_o wild_a and_o instable_a disposition_n but_o quiet_a region_n more_o constant_a and_o courteous_a 273_o chap._n xvi_o of_o the_o disposition_n of_o inhabitant_n according_a to_o their_o original_n and_o education_n 1_o colony_n translate_v from_o one_o region_n into_o another_o far_a remote_a retain_v a_o long_a time_n their_o first_o disposition_n though_o by_o little_a &_o little_a they_o decline_v and_o suffer_v alteration_n 278_o 2_o the_o mixture_n of_o colonies_n beget_v the_o same_o nation_n a_o great_a disparity_n and_o variety_n of_o the_o nation_n among_o themselves_o 278_o 3_o education_n have_v a_o great_a force_n in_o the_o alteration_n of_o natural_a disposition_n yet_o so_o as_o by_o accident_n remit_v they_o soon_o return_v to_o their_o proper_a temper_n  _fw-fr 4_o by_o discipline_n nation_n become_v more_o wise_a and_o politic_a in_o the_o preservation_n of_o state_n yet_o less_o stout_a and_o courageous_a 283_o the_o analysis_n of_o the_o second_o book_n general_n which_o of_o a_o place_n general_o take_v without_o any_o special_a division_n handle_v the_o adjunct_n and_o propriety_n these_o agree_v to_o a_o place_n in_o respect_n of_o the_o earth_n itself_o which_o be_v internal_a or_o external_a common_a or_o magnetical_a whereof_o chapter_n 2._o heaven_n which_o be_v general_n or_o special_a chapt._n 3_o
the_o scripture_n especial_o in_o the_o 8_o of_o the_o proverb_n and_o the_o 103_o psalm_n where_o god_n be_v say_v to_o have_v set_v a_o bind_v upon_o the_o sea_n which_o they_o shall_v not_o pass_v but_o this_o reason_n seem_v not_o warrantable_a that_o the_o great_a creator_n of_o all_o thing_n shall_v in_o the_o first_o institution_n of_o nature_n impose_v a_o perpetual_a violence_n upon_o nature_n moreover_o all_o miracle_n be_v temporary_a and_o not_o perpetual_a for_o than_o be_v it_o ordinary_a and_o so_o scarce_o a_o miracle_n other_o upon_o less_o ground_n have_v imagine_v that_o there_o be_v certain_a northern_a star_n in_o vrsa_fw-la maior_fw-la and_o draco_n of_o so_o great_a virtue_n that_o they_o can_v draw_v the_o ocean_n from_o this_o habitable_a part_n of_o the_o earth_n towards_o the_o north_n and_o so_o constrain_v the_o water_n that_o they_o can_v overwhelm_v the_o earth_n but_o this_o opinion_n be_v ridiculous_a and_o deserve_v no_o solid_a refutation_n be_v a_o mere_a conjecture_n without_o ground_n or_o probability_n other_o upon_o the_o like_a reason_n have_v dream_v that_o there_o be_v more_o water_n than_o earth_n in_o the_o globe_n and_o that_o the_o water_n by_o his_o extraordinary_a mass_n occupy_v the_o centre_n of_o the_o world_n turn_v the_o earth_n on_o one_o side_n make_v it_o to_o swim_v as_o a_o ship_n upon_o the_o sea_n but_o this_o assertion_n we_o have_v refute_v in_o our_o first_o chapter_n of_o the_o first_o book_n all_o these_o author_n suppose_v that_o the_o earth_n be_v uncover_v towards_o the_o north-pole_n but_o overflow_v with_o water_n towards_o the_o south_n which_o the_o experience_n of_o navigatour_n at_o this_o day_n have_v sufficient_o disannul_v other_o again_o affirm_v out_o of_o a_o peripatetical_a dream_n that_o the_o water_n be_v ten_o time_n great_a than_o the_o earth_n suppose_v the_o earth_n to_o be_v like_o a_o sponge_n to_o drink_v up_o the_o water_n to_o prove_v which_o assertion_n they_o produce_v a_o experiment_n that_o the_o earth_n be_v dig_v any_o thing_n deep_a in_o most_o place_n there_o will_v appear_v water_n whence_o they_o collect_v that_o the_o water_n be_v mix_v with_o the_o whole_a earth_n and_o receive_v into_o it's_o concavity_n but_o howsoever_o we_o may_v grant_v that_o there_o be_v many_o and_o vast_a concavity_n in_o the_o earth_n capable_a of_o water_n yet_o it_o be_v impossible_a that_o the_o water_n shall_v be_v ten_o time_n as_o great_a as_o the_o earth_n for_o by_o this_o reason_n although_o all_o the_o terrestrial_a globe_n be_v water_n it_o can_v not_o be_v but_o that_o a_o great_a portion_n of_o water_n then_o that_o in_o the_o earth_n shall_v arise_v above_o the_o earth_n because_o according_a to_o their_o own_o supposition_n 9_o part_n shall_v be_v above_o the_o earth_n neither_o can_v aristotle_n word_n be_v well_o wrest_v to_o this_o interpretation_n for_o as_o much_o as_o he_o understand_v this_o tenfold_o proportion_n of_o the_o water_n to_o the_o earth_n not_o of_o the_o space_n which_o they_o replenish_v measure_v by_o their_o circle_n and_o diameter_n but_o of_o the_o proportion_n they_o bear_v one_o to_o the_o other_o in_o their_o transmutation_n as_o that_o one_o measure_n of_o earth_n turn_v into_o water_n shall_v be_v as_o much_o as_o 10._o all_o these_o opinion_n seem_v so_o absurd_a it_o seem_v more_o probable_a to_o imagine_v that_o either_o the_o water_n be_v condensated_a and_o thicken_v which_o be_v in_o the_o beginning_n create_v thin_a whence_o will_v follow_v that_o they_o shall_v occupy_v a_o less_o place_n and_o by_o consequence_n leave_v the_o dry-land_n in_o many_o place_n habitable_a or_o which_o be_v more_o probable_a that_o god_n in_o the_o first_o creation_n make_v certain_a hollow_a concavity_n and_o channel_n in_o the_o earth_n which_o be_v before_o plain_a and_o uniform_a into_o which_o the_o water_n be_v receive_v and_o bound_v in_o so_o much_o that_o they_o can_v not_o flow_v abroad_o this_o seem_v enough_o to_o satisfy_v the_o search_n of_o such_o as_o be_v not_o too_o curious_a to_o search_v into_o his_o secret_n who_o power_n and_o omnipotence_n transcend_v the_o capacity_n of_o the_o wise_a in_o this_o division_n of_o a_o place_n into_o water_n and_o land_n we_o will_v first_o treat_v of_o the_o sea_n and_o the_o accident_n belong_v thereunto_o not_o that_o the_o water_n be_v worthy_a or_o great_a than_o the_o earth_n the_o contrary_a whereof_o we_o have_v prove_v heretofore_o but_o because_o the_o consideration_n of_o it_o be_v more_o simple_a as_o that_o wherein_o few_o matter_n be_v to_o be_v handle_v then_o in_o the_o land_n for_o rivers_n and_o lake_n although_o consist_v of_o this_o watery_a element_n we_o think_v fit_a to_o handle_v apart_o as_o adjunct_n belong_v to_o the_o land_n 4_o in_o the_o sea_n be_v consider_v two_o thing_n 1_o the_o adjunct_n 2_o the_o division_n the_o accident_n of_o the_o sea_n whereof_o we_o be_v to_o treat_v be_v either_o internal_a or_o e●ternall_n 5_o the_o internal_a be_v such_o as_o be_v inbred_a in_o the_o sea_n these_o again_o be_v either_o absolute_a or_o relative_n 6_o the_o absolute_a be_v such_o as_o agree_v to_o the_o sea_n without_o any_o comparison_n with_o the_o land_n such_o be_v either_o figure_n quality_n or_o motion_n 7_o the_o figure_n be_v the_o conformity_n of_o the_o external_a superficies_n of_o the_o sea_n whereof_o observe_v this_o theorem_n 1_o although_o the_o whole_a body_n of_o the_o water_n be_v spherical_a yet_o it_o be_v probable_a that_o the_o part_n of_o it_o incline_v to_o a_o conicall_a figure_n that_o the_o whole_a water_n according_a to_o its_o outward_a superficies_n i●_n spherical_a and_o round_a be_v sufficient_o demonstrate_v before_o in_o the_o first_o book_n but_o notwithstanding_o this_o roundness_n of_o the_o whole_a the_o part_n of_o it_o may_v for_o aught_o i_o see_v admit_v of_o a_o conicall_a figure_n for_o as_o much_o as_o this_o have_v little_a or_o no_o proportion_n to_o the_o vast_a spheracity_n of_o the_o water_n no_o more_o then_o little_a hill_n to_o the_o greatness_n of_o the_o earth_n for_o the_o prosecution_n of_o which_o point_n i_o will_v first_o show_v the_o reason_n of_o this_o my_o conjecture_n ground_v on_o experience_n and_o afterward_o out_o of_o the_o ground_n and_o demonstration_n of_o the_o principle_n of_o mathematical_a philosophy_n endeavour_v to_o make_v it_o more_o manifest_a first_o therefore_o by_o a_o conicall_a line_n we_o understand_v a_o crooked_a line_n which_o differ_v from_o a_o periphery_a or_o circle_n in_o as_o much_o as_o it_o keep_v not_o always_o a_o equal_a distance_n from_o the_o centre_n but_o be_v high_a in_o the_o midst_n then_o on_o either_o side_n now_o if_o the_o part_n of_o the_o water_n stand_v still_o be_v in_o their_o high_a superficies_n exact_o spherical_a they_o shall_v by_o the_o same_o ground_n be_v concentricall_a or_o have_v the_o same_o centre_n with_o the_o whole_a earth_n but_o that_o it_o have_v not_o the_o same_o centre_n will_v appear_v by_o little_a drop_n of_o water_n fall_v on_o the_o ground_n which_o incline_v as_o we_o see_v to_o a_o round_a figure_n yet_o be_v it_o more_o than_o ridiculous_a to_o say_v that_o this_o round_a convexity_n of_o a_o drop_n can_v be_v concentricall_a with_o the_o whole_a earth_n since_o in_o so_o great_a a_o mass_n it_o be_v hardly_o sensible_a but_o here_o our_o ordinary_a philosopher_n be_v ready_a to_o answer_v that_o this_o conformity_n of_o the_o water_n drop_n in_o a_o round_a figure_n be_v rather_o violent_a then_o natural_a because_o the_o water_n be_v by_o nature_n moist_a be_v ready_a to_o fly_v and_o avoid_v the_o touch_n or_o drought_n or_o any_o dry_a thing_n and_o because_o the_o water_n thus_o avoid_v the_o drought_n can_v of_o necessity_n but_o some_o way_n touch_v it_o it_o be_v imagine_v to_o conform_v itself_o to_o that_o figure_n whereit_v it_o may_v least_o of_o all_o touch_n this_o be_v the_o round_a or_o spherical_a figure_n wherein_o any_o body_n contain_v can_v touch_v a_o plain_a otherwise_o then_o in_o one_o only_a point_n but_o against_o this_o conjecture_n of_o moisture_n fly_v drought_n strong_a enough_o be_v the_o experiment_n of_o scaliger_n in_o his_o 105_o exercitation_n that_o quicksilver_n a_o moist_a substance_n be_v cast_v either_o into_o water_n or_o iron-oare_n will_v gather_v itself_o to_o a_o round_a body_n notwithstanding_o it_o be_v manifest_a that_o quicksilver_n natural_o neither_o avoid_v the_o touch_n of_o water_n or_o iron_n for_o as_o much_o as_o the_o one_o be_v very_a m●●st_n the_o other_o of_o great_a affinity_n as_o our_o chimick_n teach_v with_o quicksilver_n the_o parent_n of_o all_o metal_n moreover_o it_o be_v manifest_a that_o this_o conformity_n to_o roundness_n be_v in_o drop_n of_o rain_n fall_v to_o the_o earth_n through_o the_o air_n yet_o will_v not_o our_o