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day_n month_n moon_n sun_n 12,668 5 8.2155 4 true
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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

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stand_v with_o experience_n that_o in_o any_o water_n or_o sea_n where_o the_o flood_n be_v stop_v and_o hinder_v by_o quicksand_n it_o return_v with_o great_a force_n as_o it_o be_v enrage_v and_o swel●_n so_o much_o the_o high_a which_o be_v the_o cause_n why_o in_o the_o coast_n of_o cambaia_n it_o be_v li●ted_v up_o so_o high_a because_o the_o shore_n be_v so_o shallow_a and_o so_o short_a and_o expose_v to_o impediment_n that_o in_o the_o ebb_n the_o sea_n ●●ns_v back_o many_o mile_n &_o leave_v the_o sand●_n uncover_v whence_o it_o must_v needs_o return_v with_o great_a violence_n this_o also_o be_v find_v in_o the_o indian_a sea_n and_o near_o panama_n in_o the_o southern_a sea_n where_o the_o sea_n run_v back_o for_o two_o league_n certain_a land_n and_o land_n be_v leave_v naked_a so_o that_o in_o these_o three_o sea_n here_o name_v the_o sea_n seem_v to_o enlarge_v its_o limit_n in_o breadth_n more_o than_o in_o other_o place_n to_o which_o we_o may_v ascribe_v this_o 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perpendicular_a line_n be_v altogether_o insensible_a for_o if_o two_o perpendicular_a or_o heavy_a point_n move_v in_o a_o line_n shall_v be_v distant_a one_o from_o the_o other_o the_o space_n of_o 10_o a_o 100_o or_o more_o foot_n because_o this_o distance_n be_v very_o little_a in_o respect_n of_o the_o semidiameter_n of_o the_o earth_n the_o angle_n of_o concourse_n must_v needs_o be_v very_o little_a and_o by_o consequence_n those_o two_o ray_n or_o line_n measure_v the_o descent_n of_o two_o heavy_a body_n will_v seem_v altogether_o equidistant_a yet_o that_o there_o be_v such_o a_o concurrence_n nature_n and_o reason_n will_v easy_o consent_v hence_o we_o may_v detect_v a_o popular_a error_n believe_v of_o the_o vulgar_a that_o the_o wall_n of_o house_n stand_v upright_o be_v parallel_v and_o of_o equal_a distance_n when_o contrariwise_o it_o be_v plain_a that_o such_o wall_n be_v erect_v by_o a_o perpendicular_a and_o measure_v by_o perpendicular_a line_n which_o be_v draw_v 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a_o notable_a star_n in_o the_o ship_n appear_v not_o at_o rhodes_n or_o at_o least_o from_o high_a place_n but_o if_o you_o travel_v forth_o southward_o from_o italy_n into_o egypt_n to_o alexandria_n the_o same_o star_n proclus_n observe_v will_v manifest_v itself_o to_o your_o sight_n the_o four_o part_n of_o a_o sign_n above_o the_o horizon_n sphaer_n from_o whence_o we_o may_v draw_v a_o sound_a proof_n that_o there_o be_v a_o spherical_a and_o gibbous_a convexitie_n which_o interpose_v itself_o betwixt_o rhodes_n and_o egypt_n in_o which_o place_n the_o people_n who_o inhabit_v that_o part_n of_o egypt_n which_o border_n upon_o arabia_n which_o be_v call_v troglo●ites_n of_o their_o dwell_n in_o cave_n can_v see_v any_o star_n of_o the_o great_a bear_n whence_o we_o may_v conclu●e_v that_o the_o earth_n from_o the_o north_n to_o the_o south_n be_v round_o and_o spherical_a for_o if_o otherwise_o the_o earth_n be_v plain_a all_o the_o northern_a star_n will_v appear_v to_o the_o 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the_o sun_n rise_v with_o the_o persian_a inhabit_v towards_o the_o east_n four_o hour_n soon_o than_o to_o the_o spaniard_n in_o the_o west_n sundry_a other_o the_o like_a example_n may_v be_v allege_v all_o which_o we_o must_v needs_o impute_v to_o the_o spherical_a roundness_n of_o the_o earth_n proportional_o increase_v betwixt_o east_n and_o west_n the_o other_o reason_n to_o confirm_v this_o last_o point_n be_v draw_v from_o the_o eclipse_n of_o the_o sun_n and_o moon_n which_o will_v not_o appear_v in_o diverse_a place_n at_o diverse_a hour_n if_o the_o earth_n be_v plain_a or_o square_a we_o see_v plain_o that_o eclipse_n of_o the_o moon_n appear_v soon_o to_o the_o western_a people_n but_o late_a to_o the_o eastern_a as_o according_a to_o ptolemy_n in_o arbela_n a_o town_n of_o assyria_n where_o alexander_n overcome_v darius_n the_o last_o king_n of_o
have_v teach_v the_o heaven_n be_v move_v or_o turn_v round_o by_o a_o angel_n or_o intelligence_n fix_v to_o his_o orb_n of_o a_o spiritual_a and_o immaterial_a substance_n which_o in_o a_o body_n meet_v no_o opposition_n not_o in_o the_o body_n move_v because_o of_o its_o own_o nature_n it_o be_v prone_a and_o inclinable_a to_o this_o motion_n but_o this_o reason_n be_v like_o a_o reed_n that_o hurt_v his_o hand_n that_o lean_v on_o it_o for_o first_o what_o indigence_n or_o necessity_n in_o nature_n be_v observe_v so_o great_a to_o be_v the_o father_n of_o such_o intelligence_n what_o serious_a judgement_n can_v ever_o imagine_v the_o angel_n to_o be_v like_o galleyslave_n chain_v fast_o to_o their_o galley_n or_o turne-spit-dog_n labour_v in_o their_o wheel_n to_o what_o use_n shall_v they_o serve_v not_o to_o stir_v up_o and_o begin_v the_o motion_n for_o why_o shall_v we_o debar_v the_o heaven_n from_o the_o privilege_n ofall_v other_o body_n far_o less_o excellent_a who_o 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forward_a without_o some_o reluctancy_n in_o the_o patient_a because_o the_o inferior_a orb_n have_v of_o itself_o a_o proper_a motion_n this_o must_v needs_o be_v violent_a as_o suppose_v a_o force_n &_o wrest_v of_o nature_n from_o her_o proper_a course_n whereof_o it_o be_v not_o hard_a to_o show_v a_o sensible_a demonstration_n because_o the_o orb_n natural_o direct_v one_o way_n be_v turn_v and_o direct_v another_o way_n at_o the_o same_o time_n which_o both_o motion_n concur_v in_o the_o same_o body_n must_v needs_o offer_v violence_n one_o to_o the_o other_o moreover_o the_o immunity_n from_o corruptible_a quality_n grant_v to_o the_o heaven_n which_o be_v the_o ground_n of_o this_o opinion_n have_v be_v must_v talk_v of_o among_o the_o aristotelean_n but_o never_o warrant_v by_o any_o certain_a demonstration_n we_o see_v say_v these_o philosopher_n the_o heaven_n to_o have_v remain_v since_o the_o begin_n of_o the_o world_n without_o any_o sensible_a alteration_n and_o change_n and_o therefore_o must_v all_o the_o elementary_a and_o corruptible_a quality_n be_v exclude_v to_o disprove_v this_o i_o need_v go_v no_o far_o than_o the_o last_o comet_n which_o mathematician_n by_o the_o parallax_n find_v to_o be_v in_o the_o heaven_n and_o whereas_o otherwise_o they_o seek_v a_o sensible_a alteration_n in_o other_o part_n they_o deceive_v themselves_o for_o as_o in_o the_o earth_n whereon_o we_o dwell_v however_o the_o part_n interchangeable_o corrupt_a and_o engender_v daily_o yet_o the_o whole_a globe_n will_v apparent_o remain_v the_o same_o keep_v its_o integrity_n so_o may_v it_o happen_v to_o many_o of_o the_o superior_a globe_n who_o part_n daily_o corrupt_v and_o renew_v again_o although_o for_o the_o great_a distance_n to_o we_o insensible_a the_o whole_a globe_n remain_v still_o perfect_a in_o his_o perfect_a sphericity_n i_o cease_v any_o further_a to_o invade_v another_o province_n and_o therefore_o descend_v to_o a_o second_o argument_n to_o prove_v this_o extraordinary_a violent_a and_o swift_a motion_n in_o the_o heaven_n to_o be_v improbable_a it_o be_v ordinary_o observe_v in_o other_o orb_n of_o the_o heaven_n that_o the_o high_a the_o orb_n be_v place_v the_o motion_n be_v slow_a as_o for_o example_n the_o sphere_n of_o the_o moon_n which_o be_v next_o the_o earth_n be_v carry_v about_o in_o 27_o day_n mercury_n and_o venus_n be_v slow_a enough_o in_o their_o course_n as_o the_o former_a in_o 80_o day_n the_o latter_a in_o 9_o month_n the_o sun_n in_o a_o year_n mars_n in_o 2_o year_n jupiter_n in_o 12_o saturn_n in_o 30._o also_o those_o astronomer_n which_o give_v the_o fix_a star_n a_o motion_n will_v have_v they_o to_o finish_v their_o course_n according_a to_o ptolemy_n in_o 36000_o but_o if_o we_o will_v believe_v copernicus_n in_o 25816_o year_n so_o that_o the_o high_a and_o great_a the_o circle_n be_v so_o much_o slow_a will_v be_v the_o motion_n what_o injury_n be_v it_o then_o to_o the_o concord_n and_o harmony_n of_o nature_n to_o impose_v upon_o the_o high_a orb_n of_o all_o such_o a_o unmeasurable_a strange_a motion_n which_o may_v strike_v the_o most_o seraphic_a angel_n into_o admiration_n to_o these_o may_v be_v add_v other_o argument_n in_o copernicus_n which_o albeit_o they_o be_v not_o demonstrative_a will_v make_v the_o matter_n more_o probable_a first_o that_o nature_n in_o all_o thing_n be_v a_o compendious_a and_o short_a worker_n and_o use_v not_o many_o help_n for_o such_o thing_n as_o may_v be_v perform_v by_o few_o and_o therefore_o need_v we_o not_o to_o use_v the_o help_n of_o so_o many_o orb_n and_o concameration_n to_o square_v our_o observation_n which_o will_v find_v more_o steady_a foot_n in_o this_o one_o ground_n once_o grant_v of_o the_o earth_n circular_a motion_n second_o it_o will_v seem_v more_o consonant_a and_o agreeable_a to_o nature_n that_o the_o high_a and_o uttermost_a sphere_n of_o all_o which_o bound_n and_o engirt_v in_o all_o the_o world_n beside_o shall_v rest_v quiet_a and_o unmoveable_a then_o to_o suffer_v such_o a_o intolerable_a motion_n as_o may_v endanger_v the_o whole_a fabric_n last_o i_o may_v add_v this_o one_o that_o this_o diurnal_a motion_n grant_v to_o the_o first_o movable_a can_v in_o my_o judgement_n hardly_o stand_v with_o the_o regularity_n of_o heavenly_a body_n if_o we_o express_v it_o no_o otherwise_o then_o the_o ordinary_a sort_n of_o astronomer_n for_o a_o regular_a motion_n be_v define_v to_o be_v that_o whereby_o in_o equal_a time_n a_o body_n be_v move_v through_o equal_a place_n but_o this_o diurnal_a motion_n receive_v from_o the_o first_o movable_a concur_v with_o the_o sun_n annual_a motion_n will_v exclude_v this_o equality_n for_o first_o it_o be_v grant_v that_o the_o sun_n in_o his_o motion_n from_o the_o aequator_fw-la to_o the_o tropic_n according_a to_o sense_n run_v ●uery_n day_n in_o a_o distinct_a parallel_n for_o although_o every_o minute_n he_o decline_v somewhat_o from_o the_o aequator_fw-la towards_o the_o tropic_n yet_o the_o difference_n be_v not_o sensible_a so_o that_o we_o may_v well_o every_o day_n assign_v a_o parallelll-in●_n to_o the_o sun_n motion_n second_o they_o must_v grant_v that_o these_o parallel_n be_v diminish_v and_o grow_v less_o and_o less_o towards_o the_o tropic_n from_o the_o aequator_fw-la three_o that_o as_o we_o have_v foreshow_v of_o two_o body_n move_v in_o the_o same_o time_n on_o the_o same_o centre_n that_o shall_v move_v fast_o which_o be_v great_a so_o one_o body_n move_v in_o diverse_a unequal_a circle_n in_o equal_a time_n it_o must_v of_o necessity_n follow_v that_o it_o must_v needs_o move_v fast_o in_o that_o which_o be_v great_a here_o we_o may_v conclude_v he_o move_v fast_a in_o the_o aequator_fw-la then_o in_o the_o tropic_n because_o in_o the_o one_o he_o be_v carry_v in_o a_o great_a parallel_n in_o the_o
the_o east_n or_o west_n the_o star_n will_v either_o seem_v great_a in_o the_o east_n then_o in_o the_o west_n or_o contrariwise_o great_a in_o the_o west_n than_o the_o east_n all_o which_o plain_o contradict_v experience_n moreover_o it_o will_v hence_o follow_v out_o of_o this_o last_o that_o the_o forenoon_n will_v not_o be_v equal_a to_o the_o afternoon_n for_o as_o much_o as_o the_o meridian_n circle_n pass_v by_o our_o vertical_a point_n which_o in_o this_o case_n can_v be_v in_o the_o middle_n of_o the_o hemisphere_n but_o will_v decline_v more_o either_o to_o the_o east_n or_o the_o west_n four_o it_o must_v needs_o follow_v that_o in_o a_o oblique_a sphere_n either_o there_o will_v be_v no_o equinoctial_a at_o all_o or_o at_o least_o if_o there_o be_v any_o it_o will_v not_o be_v in_o the_o midst_n betwixt_o the_o two_o solstice_n of_o summer_n and_o winter_n which_o be_v against_o all_o common_a experience_n to_o explain_v which_o assertion_n let_v there_o be_v a_o sphere_n abcd_n who_o centre_n shall_v be_v e_z wherein_o we_o will_v conceive_v the_o equatour_n to_o be_v bd_o the_o two_o tropic_n il_fw-fr and_o xh_n the_o axletree_n of_o the_o world_n ac_fw-la now_o if_o the_o earth_n shall_v be_v place_v in_o the_o plain_a of_o the_o equatour_n out_o of_o the_o axis_n of_o the_o world_n as_o in_o f_o let_v there_o first_o be_v a_o oblique_a horizon_n zfy_v cut_v all_o the_o parallel_n into_o unequal_a part_n and_o the_o axis_n in_o those_o parallel_n which_o be_v without_o it_o be_v manifest_a that_o in_o the_o say_a horizon_n there_o will_v be_v no_o equinoctial_a because_o the_o horizon_n equal_o divide_v in_o two_o half_n only_o that_o parallel_n which_o be_v describe_v by_o p_o which_o nevertheless_o the_o sun_n never_o come_v unto_o as_o never_o go_v beyond_o the_o tropic_n xh_v let_v there_o be_v another_o oblique_a horizon_n ofm_n cut_v the_o axle_n ac_fw-la within_o the_o say_a parallel_n in_o n_o it_o be_v manifest_a by_o reason_n that_o there_o 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of_o the_o heaven_n six_o out_o of_o this_o opinion_n will_v necessary_o be_v conclude_v that_o the_o excess_n of_o the_o great_a and_o long_a day_n above_o the_o equinoctial_a day_n shall_v not_o be_v equalise_v by_o the_o defect_n of_o the_o short_a day_n by_o how_o much_o it_o be_v exceed_v by_o the_o equinoctial_a day_n which_o be_v against_o all_o common_a experience_n the_o consequence_n shall_v appear_v by_o demonstration_n suppose_v a_o to_o be_v the_o arctic_a pole_n then_o will_v pg_n be_v the_o excess_n of_o the_o long_a day_n xp_n above_o xg_n the_o equinoctial_a day_n but_o kq_n be_v the_o defect_n wherein_o the_o short_a day_n iq_n be_v exceed_v of_o the_o equinoctial_a day_n ik_fw-mi all_o these_o absurdity_n be_v avoid_v if_o we_o put_v the_o earth_n in_o the_o centre_n e._n for_o so_o in_o every_o oblique_a horizon_n as_o in_o sir_n will_v be_v a_o equinoctial_a the_o sun_n riside_v in_o the_o aequator_fw-la 2_o the_o heaven_n will_v be_v divide_v into_o two_o equal_a half_n and_o pg_n the_o excess_n of_o the_o long_a day_n will_v be_v equal_a to_o kv_v the_o defect_n of_o the_o short_a day_n whence_o we_o may_v conclude_v the_o first_o part_n of_o this_o argument_n that_o the_o earth_n be_v not_o beside_o the_o axis_n in_o the_o plain_a of_o the_o equinoctial_a concern_v the_o second_o position_n if_o we_o shall_v place_v the_o earth_n in_o the_o axis_n of_o the_o world_n out_o of_o the_o plain_a of_o the_o equinoctial_a as_o many_o or_o more_o absurdity_n will_v of_o necessity_n follow_v for_o example_n sake_n let_v it_o be_v imagine_v in_o p_o first_o than_o no_o horizon_n beside_o a_o right_n will_v cut_v the_o heaven_n into_o two_o equal_a part_n or_o half_n and_o consequent_o the_o zodiac_n but_o this_o be_v prove_v false_a by_o experience_n as_o we_o have_v show_v because_o six_o sign_n of_o the_o zodiac_n be_v always_o above_o and_o conspicuous_a and_o the_o other_o six_o under_o second_o only_a under_o a_o right_a horizon_n will_v there_o be_v a_o equinoctial_a because_o only_o such_o a_o horizon_n equal_o divide_v the_o equatour_n into_o two_o half_n as_o may_v be_v see_v in_o the_o former_a figure_n in_o which_o the_o equatour_n be_v conceive_v to_o be_v bd_o the_o right_a horizon_n ac_fw-la the_o oblique_a yz_n cut_v the_o equator_fw-la in_o f_o into_o two_o unequal_a part_n now_o if_o it_o shall_v happen_v that_o in_o any_o oblique_a horizon_n there_o shall_v be_v a_o equinoxe_n it_o can_v no_o wise_n be_v in_o the_o middle_a time_n betwixt_o the_o two_o solstice_n but_o will_v be_v much_o near_o to_o the_o one_o then_o to_o the_o other_o as_o if_o the_o earth_n w●re_v place_v in_o n_o betwixt_o the_o tropic_n xh_v and_o the_o equatour_n bd_o there_o will_v be_v a_o equinoxe_n when_o the_o sun_n pass_v in_o the_o parallel_n by_o n._n which_o parallel_n be_v far_o near_a to_o the_o summer_n solstice_n than_o the_o winter_n solstice_n but_o if_o the_o earth_n be_v in_o g_z there_o will_v happen_v a_o equinoxe_n just_a in_o the_o day_n of_o the_o summer_n solstice_n all_o which_o be_v most_o absurd_a and_o most_o repugnant_a to_o common_a sense_n three_o this_o grant_v the_o whole_a order_n and_o proportion_n of_o increase_n and_o decrease_v of_o day_n and_o night_n will_v be_v confuse_v and_o trouble_v it_o be_v agree_v on_o by_o consent_n of_o all_o cosmographer_n that_o every_o where_o without_o the_o right_a horizon_n there_o be_v such_o a_o order_n and_o proportion_n of_o the_o increase_n &_o decrease_v of_o the_o day_n and_o night_n that_o twice_o in_o a_o year_n the_o day_n be_v equal_a to_o the_o night_n to_o wit_n in_o the_o mean_a or_o middle_a betwixt_o the_o long_a and_o the_o short_a day_n that_o the_o long_a day_n be_v equal_a to_o the_o long_a night_n and_o the_o short_a day_n to_o the_o short_a night_n that_o the_o excess_n of_o the_o long_a day_n above_o the_o equinoctial_a day_n be_v so_o much_o as_o be_v the_o defect_n of_o the_o short_a day_n in_o regard_n of_o the_o say_v equinoctial_a day_n all_o which_o and_o many_o more_o such_o apparence_n will_v be_v interrupt_v be_v the_o earth_n place_v any_o where_o else_o then_o in_o the_o centre_n e_o as_o will_v appear_v by_o the_o scheme_n for_o the_o earth_n be_v place_v in_o e_o every_o oblique_a horizon_n as_o sir_n will_v divide_v the_o equatour_n bd_o into_o two_o equal_a hemicircle_n so_o that_o so_o much_o shall_v appear_v above_o as_o lie_v couch_v under_o and_o so_o that_o day_n will_v be_v equal_a to_o the_o night_n in_o like_a sort_n the_o tropic_n hx_n and_o il_fw-fr will_v be_v divide_v into_o two_o unequal_a part_n yet_o so_o as_o the_o alternate_a segment_n shall_v be_v equal_a to_o wit_n px_n and_o vl_n also_o th._n and_o vi_o as_o it_o be_v demonstrate_v by_o theodosius_n lib._n 2._o prop._n 16._o whence_o it_o come_v to_o pass_v that_o the_o long_a day_n xp_n be_v equal_a to_o the_o long_a night_n lv_o and_o the_o short_a day_n iv_o be_v equal_a to_o the_o short_a night_n hp_n final_o pg_n the_o excess_n of_o the_o long_a day_n xp_n above_o the_o equinoctial_a day_n xg_n be_v equal_a to_o kv_v the_o defect_n of_o the_o short_a day_n under_o the_o equinoctial_a day_n ik_fw-mi which_o be_v show_v out_o of_o the_o similitude_n and_o equality_n of_o the_o triangle_n teg_n and_o vek._n now_o of_o the_o contrary_a part_n if_o the_o earth_n shall_v be_v place_v in_o the_o axis_n without_o the_o centre_n e_o as_o in_o p_o beyond_o all_o the_o parallel_n no_o equinoxe_n can_v be_v in_o a_o oblique_a sphere_n as_o we_o have_v show_v but_o always_o the_o day_n will_v be_v long_o or_o short_a than_o the_o night_n but_o if_o the_o earth_n be_v place_v in_o the_o point_n g_o by_o which_o pass_v
not_o the_o same_o though_o at_o the_o same_o time_n neither_o will_v such_o a_o star_n to_o both_o place_n seem_v in_o the_o same_o point_n of_o the_o heaven_n which_o can_v not_o possible_o be_v except_o we_o admit_v a_o sensible_a difference_n betwixt_o the_o rational_a and_o sensible_a horizon_n and_o so_o grant_v the_o earth_n in_o respect_n of_o such_o orb_n some_o quantity_n and_o greatness_n this_o diversity_n of_o aspect_n which_o they_o call_v the_o parallax_n may_v be_v see_v in_o this_o figure_n let_v a_o be_v the_o centre_n of_o the_o earth_n l_o the_o moon_n or_o other_o star_n to_o be_v observe_v egg_v the_o firmament_n or_o orb_n of_o the_o fix_a star_n suppose_v then_o the_o eye_n to_o be_v in_o the_o fix_a point_n m_o of_o the_o sensible_a horizon_n xmy_n the_o say_a planet_n will_v appear_v in_o the_o point_n of_o the_o firmament_n s_o according_a to_o opticall_a principle_n whereby_o all_o thing_n be_v say_v to_o be_v see_v in_o the_o place_n direct_o opposite_a 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terrestrial_a globe_n we_o have_v handle_v here_o we_o be_v in_o the_o next_o place_n to_o treat_v of_o such_o as_o agree_v by_o virtue_n of_o our_o understanding_n of_o this_o sort_n be_v all_o the_o circle_n conceive_v to_o be_v in_o the_o terrestrial_a globe_n 2_o a_o terrestrial_a circle_n be_v a_o round_a line_n conceive_v in_o the_o face_n of_o the_o terrestrial_a globe_n divide_v it_o into_o two_o part_n a_o circle_n be_v consider_v two_o manner_n of_o way_n either_o abstract_a from_o this_o or_o that_o sensible_a matter_n in_o which_o sort_n it_o be_v suppose_v to_o be_v teach_v in_o geometry_n to_o which_o proper_o appertain_v the_o knowledge_n of_o the_o fabric_n and_o measure_n of_o all_o magnitude_n especial_o of_o this_o be_v among_o all_o the_o most_o perfect_a and_o exact_a or_o else_o a_o circle_n be_v consider_v so_o far_o forth_o as_o it_o have_v some_o ground_n in_o the_o nature_n of_o the_o earth_n at_o least_o by_o application_n of_o the_o celestial_a globe_n and_o so_o it_o come_v into_o the_o consideration_n of_o geography_n for_o conclusion_n demonstrate_v and_o prove_v in_o geometry_n be_v here_o to_o be_v admit_v as_o principle_n suppose_v not_o demonstrate_v a_o new_a which_o logic_n if_o clavius_n blancanus_n and_o other_o such_o writer_n have_v well_o learned_a they_o will_v not_o have_v stuff_v out_o their_o work_n with_o such_o heterogeneal_a mixture_n but_o have_v reduce_v every_o thing_n to_o his_o proper_a seat_n and_o science_n a_o circle_n as_o well_o by_o the_o geographer_n as_o astronomer_n be_v divide_v into_o four_o quadrant_n each_o quadrant_a into_o 90_o degree_n all_o which_o make_v up_o 360._o so_o that_o a_o degree_n be_v the_o 360_o part_n of_o a_o circle_n which_o i_o only_o mention_v as_o be_v of_o chief_a use_n with_o we_o yet_o suppose_v to_o be_v handle_v and_o teach_v in_o a_o high_a science_n 1_o a_o circle_n though_o imaginary_a in_o itself_o have_v his_o ground_n in_o the_o nature_n of_o the_o earthly_a sphere_n as_o in_o logic_a man_n have_v invent_v certain_a intentional_a notion_n serve_v as_o so_o many_o instrument_n to_o direct_v and_o regulate_v our_o understanding_n in_o the_o apprehension_n of_o thing_n so_o in_o cosmographie_n can_v there_o not_o be_v want_v such_o imaginary_a sign_n and_o circle_n to_o confirm_v and_o aid_v our_o fantasy_n and_o as_o in_o logic_n such_o notion_n in_o themselves_o be_v mere_o imaginary_a and_o intentional_a yet_o may_v be_v term_v real_a so_o far_o forth_o as_o they_o be_v ground_v in_o the_o thing_n themselves_o so_o may_v we_o speak_v of_o these_o circle_n conceive_v in_o the_o face_n of_o the_o terrene_a globe_n which_o we_o be_v not_o to_o conceive_v to_o be_v fictious_a and_o imaginary_a as_o if_o they_o have_v no_o ground_n at_o all_o in_o nature_n for_o although_o there_o be_v no_o such_o circle_n paint_v on_o the_o face_n of_o the_o earth_n as_o we_o find_v in_o a_o artificial_a sphere_n yet_o must_v we_o of_o necessity_n conceive_v such_o real_a respect_n to_o be_v in_o the_o earth_n itself_o as_o when_o a_o ship_n sail_n over_o the_o ocean_n it_o can_v be_v say_v to_o leave_v behind_o any_o visible_a mark_n or_o character_n in_o the_o surface_n of_o the_o water_n yet_o in_o regard_n it_o make_v a_o real_a passage_n it_o will_v leave_v a_o line_n conceivable_a sign_v out_o unto_o we_o the_o true_a passage_n it_o be_v a_o matter_n which_o have_v not_o a_o little_a trouble_a cosmographer_n to_o find_v out_o the_o immediate_a and_o true_a subject_n or_o ground_n of_o these_o circle_n whether_o they_o shall_v be_v immediate_o take_v from_o the_o earth_n or_o else_o in_o the_o heaven_n the_o ancient_a cosmographer_n have_v acknowledge_v no_o other_o ground_n of_o these_o circle_n then_o the_o congruity_n and_o application_n of_o the_o celestial_a globe_n and_o his_o part_n with_o the_o part_n of_o the_o earth_n but_o our_o magnetical_a philosopher_n more_o near_o search_v into_o the_o nature_n of_o the_o earthly_a sphere_n have_v find_v these_o circle_n all_o except_o the_o horizon_n to_o wit_n the_o meridian_n and_o parallel_n to_o be_v immediate_o ground_v in_o the_o earth_n itself_o who_o opinion_n we_o can_v reject_v as_o be_v support_v by_o experimental_a demonstration_n as_o we_o shall_v show_v in_o particular_a 2_o the_o distinction_n of_o a_o circle_n into_o any_o certain_a number_n of_o part_n have_v no_o certain_a ground_n in_o the_o nature_n of_o the_o earthly_a sphere_n but_o only_a inconueniency_n leave_v our_o judgement_n free_a to_o take_v such_o a_o number_n as_o may_v best_o serve_v our_o purpose_n some_o astronomer_n more_o curious_a than_o wise_a have_v go_v about_o to_o seek_v a_o ground_n of_o this_o distinction_n of_o a_o circle_n into_o 360_o part_n out_o of_o the_o sun_n course_n in_o the_o zodiac_n a_o circle_n say_v they_o by_o the_o open_n of_o the_o compass_n be_v describe_v in_o a_o plain_a be_v divide_v into_o six_o equal_a part_n now_o because_o the_o sun_n be_v the_o rule_n and_o measure_n of_o all_o perfect_a motion_n pass_v through_o one_o six_o part_n in_o 60_o day_n the_o whole_a circle_n be_v divide_v into_o 360_o for_o 60_o multiply_v by_o 6_o will_v produce_v that_o number_n but_o this_o reason_n seem_v to_o infer_v nothing_o concern_v any_o natural_a ground_n that_o this_o distinction_n shall_v find_v in_o the_o earth_n though_o it_o may_v serve_v as_o a_o argument_n of_o conveniency_n the_o number_n 360_o be_v fit_a for_o that_o calculation_n another_o reason_n very_o like_o the_o former_a be_v draw_v from_o the_o conjunction_n of_o the_o sun_n with_o the_o moon_n which_o happen_v 12_o time_n in_o a_o year_n and_o because_o from_o each_o conjunction_n to_o that_o which_o follow_v be_v spend_v 30_o day_n hence_o it_o be_v that_o the_o zodiac_n be_v first_o divide_v into_o 12_o part_n which_o multiply_v by_o 30_o will_v produce_v 360._o this_o reason_n likewise_o prove_v only_o thus_o much_o that_o it_o be_v the_o fit_a number_n to_o calculate_v the_o motion_n of_o the_o sun_n in_o his_o ecliptic_a not_o that_o this_o division_n have_v any_o ground_n in_o nature_n more_o than_o other_o because_o be_v a_o continuate_a quantity_n according_a to_o philosophy_n it_o may_v suffer_v infinite_a division_n for_o it_o be_v in_o the_o beginning_n leave_v free_a to_o cosmographer_n to_o choose_v what_o number_n they_o please_v to_o express_v the_o part_n or_o section_n of_o a_o circle_n which_o they_o take_v as_o it_o seem_v not_o mere_o from_o the_o motion_n of_o the_o sun_n but_o from_o their_o conveniency_n and_o commodity_n find_v this_o number_n most_o commodious_a for_o the_o distinction_n of_o every_o circle_n the_o reason_n be_v because_o no_o number_n can_v be_v find_v which_o suffer_v more_o part_n and_o division_n than_o this_o for_o as_o much_o as_o in_o 60_o whereof_o
seem_v together_o to_o terminate_v the_o end_n of_o the_o earth_n and_o protension_n of_o the_o sight_n what_o the_o semidiameter_n of_o this_o horizon_n shall_v be_v have_v not_o be_v yet_o agree_v upon_o by_o all_o erastothenes_n will_v have_v it_o to_o be_v 44_o mile_n macrobius_n 23._o proclus_n 250._o albertus_n magnus_n 125._o these_o difference_n seem_v too_o great_a to_o admit_v of_o reconcilement_n yet_o take_v into_o our_o consideration_n the_o disparity_n in_o account_n of_o mile_n betwixt_o the_o modern_a and_o ancient_a cosmographer_n as_o also_o betwixt_o the_o greek_n and_o latin_n 2_o the_o diverse_a place_n of_o the_o sight●_n the_o various_a disposition_n of_o the_o place_n wherein_o they_o take_v their_o observation_n with_o other_o circumstance_n we_o shall_v diminish_v much_o of_o admiration_n but_o diverse_a other_o who_o opinion_n be_v more_o approve_a by_o modern_a cosmographer_n have_v define_v it_o to_o be_v about_o 63_o mile_n the_o cause_n why_o this_o horizon_n shall_v be_v so_o little_a in_o respect_n of_o the_o rational_a which_o pass_v by_o the_o centre_n be_v the_o roundness_n of_o the_o earth_n interpose_v betwixt_o the_o sight_n and_o the_o far_a part_n which_o we_o have_v former_o prove_v 3_o the_o eye_n may_v be_v so_o place_v on_o the_o earth_n as_o it_o may_v behold_v the_o whole_a hemisphere_n of_o the_o heaven_n and_o yet_o no_o part_n of_o the_o terrestrial_a sphere_n this_o may_v seem_v a_o paradox_n with_o vulgar_a judgement_n but_o it_o want_v not_o a_o demonstration_n draw_v from_o astronomical_a and_o optic_a principle_n to_o explain_v which_o we_o must_v suppose_v out_o of_o the_o ground_n already_o grant_v 1_o that_o the_o sensible_a and_o rational_a horizon_n in_o respect_n of_o the_o heaven_n aught_o to_o be_v esteem_v one_o and_o the_o self_n same_o by_o reason_n of_o the_o great_a distance_n and_o disproportion_n betwixt_o the_o earth_n and_o the_o firmament_n 2_o that_o the_o eye_n of_o the_o beholder_n be_v in_o this_o sort_n suppose_v to_o be_v in_o the_o centre_n because_o in_o this_o consideration_n the_o distance_n betwixt_o the_o superficies_n of_o the_o earth_n and_o her_o centre_n be_v insensible_a 3_o that_o the_o visual_a ray_n wherein_o the_o sight_n be_v carry_v be_v always_o a_o right_a line_n now_o suppose_v according_a to_o our_o former_a figure_n the_o centre_n of_o the_o eye_n wherein_o consist_v the_o sight_n to_o be_v in_o the_o point_n of_o the_o terrestrial_a surface_n f_o the_o distance_n as_o we_o say_v betwixt_o f_o and_o e_o the_o centre_n be_v insensible_a the_o eye_n be_v imagine_v in_o the_o centre_n likewise_o the_o orison_n cfd_v and_o aeb_n for_o the_o same_o cause_n in_o respect_n of_o the_o heaven_n be_v to_o be_v esteem_v one_o and_o the_o same_o because_o ca_n and_o db_n have_v no_o sensible_a difference_n it_o be_v then_o manifest_a that_o the_o eye_n so_o place_v will_v behold_v in_o the_o heavenly_a sphere_n all_o which_o be_v include_v betwixt_o a_o and_o b_o to_o wit_n the_o hemisphere_n agb_n bound_v by_o the_o rational_a horizon_n aeb_n nevertheless_o in_o the_o terrene_a globe_n it_o can_v see_v nothing_o at_o all_o for_o either_o it_o shall_v see_v only_o the_o point_n f_o wherein_o it_o be_v seat_v or_o else_o some_o other_o point_n or_o part_v distant_a from_o it_o the_o former_a can_v be_v admit_v because_o the_o eye_n be_v there_o suppose_v to_o be_v place_v shall_v according_a to_o this_o supposition_n behold_v itself_o which_o be_v against_o philosophy_n for_o grant_v the_o sense_n only_o a_o direct_a and_o not_o a_o reflex_n operation_n it_o can_v be_v imagine_v how_o it_o shall_v perceive_v itself_o final_o it_o can_v see_v any_o point_n in_o the_o earth_n beside_o for_o then_o this_o point_n will_v either_o be_v place_v above_o the_o point_n f_o but_o this_o can_v be_v because_o f_o be_v suppose_v in_o the_o superficies_n admit_v of_o no_o point_n high_o in_o the_o sphere_n or_o else_o under_o it_o but_o this_o can_v be_v because_o cfd_n be_v a_o tangent_fw-la line_n and_o touch_v the_o sphere_n in_o f_o only_o there_o can_v according_o to_o geometrical_a principle_n be_v draw_v any_o right_a line_n from_o the_o point_n f_o which_o can_v touch_v any_o point_n in_o the_o say_a sphere_n but_o all_o will_v cut_v it_o and_o so_o the_o section_n cause_n impediment_n to_o the_o sight_n the_o earth_n be_v a_o opacous_a and_o round_a body_n 4_o from_o the_o horizontall_a circle_n be_v reckon_v the_o elevation_n of_o the_o pole_n in_o any_o place_n assign_v the_o find_v out_o of_o the_o elevation_n of_o the_o pole_n be_v a_o matter_n most_o necessary_a for_o a_o cosmographer_n as_o shall_v appear_v after_o where_o we_o shall_v speak_v of_o the_o latitude_n and_o climate_n it_o be_v define_v to_o be_v a_o arch_n of_o the_o meridian_n betwixt_o the_o horizon_n and_o the_o pole_n for_o the_o find_n out_o of_o which_o many_o way_n have_v be_v devise_v by_o artificer_n the_o first_o be_v take_v from_o the_o 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part_n of_o the_o earth_n because_o such_o as_o dwell_v direct_o under_o the_o equatour_n or_o either_o of_o the_o pole_n although_o they_o may_v be_v antipode_n agree_v not_o to_o that_o definition_n by_o reason_n the_o former_a be_v antipode_n only_o in_o opposite_a point_n of_o the_o equatour_n the_o other_o of_o the_o meridian_n whether_o there_o be_v any_o antipode_n or_o no_o be_v make_v a_o question_n among_o the_o ancient_n in_o so_o much_o that_o saint_n augustine_n in_o his_o book_n de_fw-fr civitate_fw-la dei_fw-la and_o lactantius_n in_o his_o three_o book_n of_o institution_n seem_v stiff_o to_o defend_v the_o contrary_a which_o opinion_n be_v suppose_v to_o grow_v out_o of_o their_o contempt_n or_o neglect_n of_o mathematical_a study_n in_o those_o age_n wherein_o the_o zeal_n to_o religion_n be_v most_o unnecessary_o oppose_v to_o philosophy_n and_o the_o mistress_n forsake_v of_o her_o best_a handmaiden_n which_o ignorance_n of_o the_o ancient_n be_v so_o far_o derive_v 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they_o dwell_v east_n and_o west_n in_o regard_n one_o of_o the_o other_o 3_o they_o have_v contrary_a time_n of_o day_n and_o night_n for_o when_o the_o one_o have_v his_o noon_n the_o other_o enjoy_v his_o midnight_n likewise_o when_o the_o sun_n with_o the_o one_o rise_v it_o set_v with_o the_o other_o 4_o they_o have_v the_o same_o zone_n climate_n and_o parallel_n but_o differ_v by_o a_o semicircle_n to_o wit_n 180_o degree_n to_o the_o antoeci_n they_o have_v likewise_o assign_v 5_o propriety_n viz._n 1_o they_o inhabit_v the_o like_a zone_n but_o in_o diverse_a hemisphere_n 2_o they_o have_v the_o same_o elevation_n of_o the_o pole_n but_o not_o of_o the_o same_o pole_n because_o the_o one_o see_v the_o pole_n arctic_a the_o other_o the_o pole_n antarcticke_a equal_o raise_v above_o his_o horizon_n 3_o they_o have_v noon_n and_o midnight_n just_a at_o the_o same_o time_n 4_o they_o enjoy_v the_o same_o temper_n of_o the_o heaven_n 5_o they_o have_v the_o season_n of_o the_o year_n contrary_a for_o when_o the_o southern_a antoeci_n have_v their_o summer_n the_o northern_a have_v their_o winter_n and_o contrariwise_o when_o the_o northern_a have_v their_o spring_n these_o have_v their_o autumn_n to_o the_o antipode_n they_o have_v allot_v 3_o propriety_n 1_o that_o they_o have_v the_o same_o elevation_n of_o the_o pole_n though_o not_o of_o the_o same_o pole_n 2_o they_o have_v the_o same_o temper_n of_o the_o year_n and_o the_o same_o quantity_n of_o day_n and_o night_n 3_o they_o have_v all_o the_o other_o accident_n contrary_a for_o when_o the_o one_o have_v night_n the_o other_o have_v day_n when_o one_o winter_n the_o other_o summer_n when_o the_o one_o the_o spring_n the_o other_o autumn_n and_o contrariwise_o these_o accident_n and_o propriety_n here_o mention_v must_v be_v understand_v in_o respect_n of_o the_o heaven_n only_o the_o quality_n arise_v from_o diverse_a other_o accidental_a and_o particular_a cause_n in_o diverse_a place_n of_o the_o earth_n we_o shall_v differre_fw-la unto_o our_o second_o part_n chap._n xi_o of_o the_o longitude_n and_o latitude_n 1_o the_o distinction_n of_o the_o terrestrial_a globe_n according_a to_o certain_a space_n be_v former_o explain_v we_o be_v now_o to_o treat_v of_o the_o distinction_n of_o the_o say_a sphere_n according_a to_o certain_a distance_n 2_o a_o distance_n here_o we_o understand_v to_o be_v a_o direct_a line_n draw_v betwixt_o two_o point_n in_o the_o earth_n such_o a_o distance_n be_v twofold_a either_o simple_a or_o comparative_a 3_o the_o simple_a distance_n be_v take_v from_o the_o two_o great_a circle_n to_o wit_v the_o meridian_n or_o the_o equatour_n which_o be_v either_o the_o longitude_n or_o latitude_n the_o division_n of_o distance_n into_o the_o simple_a or_o comparative_a be_v most_o necessary_a for_o it_o be_v one_o thing_n for_o a_o place_n absolute_o take_v in_o itself_o to_o be_v distant_a from_o some_o fix_a point_n or_o other_o in_o the_o globe_n another_o for_o two_o place_n to_o be_v compare_v betwixt_o themselves_o in_o regard_n of_o such_o a_o fix_a point_n for_o as_o much_o as_o the_o former_a imply_v only_o the_o distance_n betwixt_o two_o point_n the_o other_o the_o distance_n of_o two_o such_o point_n or_o place_n in_o respect_n of_o the_o three_o these_o point_n from_o which_o such_o point_n be_v say_v to_o be_v distant_a be_v either_o find_v in_o the_o meridian_n circle_n from_o which_o the_o distance_n be_v call_v longitude_n or_o else_o in_o the_o equatour_n whence_o we_o call_v it_o latitude_n 4_o the_o longitude_n be_v the_o distance_n of_o any_o place_n eastward_o from_o the_o first_o meridian_n to_o understand_v the_o better_a the_o longitude_n we_o must_v consider_v that_o it_o may_v be_v take_v two_o way_n either_o general_o or_o special_o in_o the_o former_a sense_n it_o be_v take_v for_o the_o distance_n of_o the_o whole_a earth_n stretch_v from_o the_o west_n unto_o the_o east_n
and_o contrariwise_o from_o east_n to_o west_n the_o bound_n or_o limit_n of_o this_o longitude_n be_v by_o ptolemy_n and_o the_o ancient_a cosmographer_n set_v no_o far_o distant_a than_o the_o half_a circle_n contain_v 180_o degree_n because_o the_o rest_n of_o the_o earth_n lie_v at_o that_o time_n undiscovered_a the_o end_n of_o this_o space_n towards_o the_o east_n be_v the_o kingdom_n of_o china_n at_o the_o far_a part_n of_o all_o india_n distant_a as_o we_o say_v from_o the_o fortunate_a land_n where_o ptolemy_n place_v the_o first_o meridian_n 180_o degree_n which_o be_v take_v in_o the_o meridian_n and_o resolve_v into_o miles_n according_a to_o our_o former_a rule_n will_v give_v 10800_o italian_a mile_n but_o this_o space_n delineate_v out_o by_o the_o ancient_n be_v very_o scant_o and_o narrow_a in_o respect_n of_o the_o other_o part_n since_o found_v out_o be_v add_v to_o the_o former_a for_o beyond_o the_o bind_v set_v by_o ptolemy_n in_o the_o east_n it_o be_v manifest_v that_o 60_o degree_n be_v find_v out_o and_o make_v know_v a_o example_n whereof_o we_o have_v in_o scythia_n without_o the_o mountain_n emaus_n which_o be_v know_v to_o extend_v itself_o 60_o degree_n eastward_o towards_o the_o kingdom_n of_o cathay_n discover_v by_o the_o portugal_n so_o that_o the_o breadth_n of_o the_o earth_n eastward_o be_v full_o know_v so_o far_o as_o 240_o degree_n which_o be_v measure_v in_o the_o equatour_n will_v amount_v unto_o 14000_o mile_n moreover_o towards_o the_o west_n beyond_o the_o fortunate_a land_n it_o be_v know_v to_o stretch_v to_o the_o far_a border_n of_o america_n so_o that_o 340_o degree_n of_o the_o earth_n be_v full_o detect_v if_o not_o all_o the_o rest_n be_v only_o 20_o degree_n which_o be_v only_o deficient_a to_o make_v up_o the_o whole_a circle_n which_o we_o may_v the_o soon_o credit_v because_o our_o time_n have_v bring_v forth_o for_o aught_o any_o author_n have_v relate_v the_o most_o excellent_a navigator_n of_o 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betwixt_o the_o first_o meridian_n and_o the_o vertical_a point_n of_o the_o place_n propose_v so_o that_o by_o necessary_a consequence_n such_o place_n as_o be_v subject_a to_o the_o same_o meridian_n in_o the_o same_o hemisphere_n eastern_a or_o western_a have_v the_o same_o longitude_n which_o be_v the_o distance_n from_o the_o point_n of_o the_o west_n but_o place_n decline_v more_o towards_o the_o east_n have_v the_o great_a longitude_n but_o near_a to_o the_o west_n les●e_n 1_o place_n enjoy_v the_o same_o longitude_n be_v not_o always_o equal_o distant_a from_o the_o first_o meridian_n and_o contrariwise_o place_n equidistant_a from_o the_o first_o meridian_n have_v not_o always_o the_o same_o longitude_n the_o reason_n be_v evident_a out_o of_o that_o which_o have_v be_v often_o speak_v before_o because_o the_o degree_n of_o a_o great_a circle_n be_v great_a of_o a_o lesser_a less_a according_a to_o the_o greatness_n of_o the_o circle_n now_o the_o longitude_n of_o a_o place_n measure_v in_o the_o equatour_n will_v answer_v to_o 60_o italian_a mile_n but_o in_o other_o parallel_n less_o 2_o the_o difference_n of_o longitude_n beget_v the_o difference_n of_o time_n those_o therefore_o which_o exact_o be_v subject_n to_o the_o same_o longitude_n have_v their_o noon_n at_o the_o same_o moment_n but_o where_o the_o longitude_n be_v different_a the_o noonetide_v be_v also_o different_a that_o the_o difference_n of_o time_n be_v vary_v according_a to_o the_o difference_n of_o longitude_n in_o diverse_a part_n of_o the_o earth_n be_v a_o matter_n obvious_a to_o every_o man_n understanding_n out_o of_o two_o premise_a ground_n 1_o that_o the_o earth_n be_v spherical_a 2_o that_o the_o sun_n in_o his_o diurnal_a course_n once_o in_o 24_o hour_n compass_v it_o round_o whence_o it_o come_v to_o pass_v that_o place_n situate_v eastward_o see_v the_o sun_n soon_o than_o those_o which_o be_v place_v in_o the_o west_n and_o that_o with_o a_o proportional_a difference_n of_o time_n that_o to_o every_o hour_n in_o the_o sun_n motion_n be_v assign_v a_o certain_a number_n of_o correspondent_a mile_n which_o be_v in_o some_o sort_n express_v in_o a_o geographical_a globe_n or_o map_n wherein_o we_o shall_v find_v describe_v 12_o meridian_n which_o divide_v the_o whole_a compass_n of_o the_o earthly_a sphere_n into_o 24_o equal_a part_n in_o such_o sort_n that_o betwixt_o each_o of_o the_o two_o near_o meridian_n be_v reckon_v 15_o degree_n which_o make_v one_o hour_n by_o which_o we_o may_v more_o easy_o understand_v how_o soon_o the_o noone-time_n happen_v in_o one_o city_n before_o another_o for_o if_o one_o city_n stand_v eastward_o from_o another_o the_o space_n of_o three_o of_o those_o foresay_a meridian_n it_o be_v evident_a that_o it_o will_v enjoy_v noon_n three_o hour_n before_o the_o other_o the_o reason_n of_o this_o difference_n of_o time_n be_v the_o difference_n of_o longitude_n wherein_o to_o every_o hour_n the_o cosmographer_n have_v allot_v 15_o degree_n in_o the_o sun_n diurnal_a motion_n so_o that_o 15_o degree_n multiply_v by_o 24_o hour_n which_o be_v the_o whole_a natural_a day_n there_o will_v be_v produce_v 360_o which_o be_v the_o number_n of_o degree_n in_o the_o whole_a circle_n 3_o if_o two_o man_n from_o the_o same_o place_n travel_n the_o one_o eastward_o the_o other_o westward_o round_o about_o the_o earth_n and_o meet_v in_o the_o same_o place_n again_o they_o shall_v find_v that_o he_o which_o have_v go_v eastward_o have_v get_v and_o the_o other_o go_v westward_o have_v lose_v a_o day_n in_o their_o account_n this_o be_v without_o difficulty_n to_o be_v understand_v out_o of_o the_o change_n of_o longitude_n second_v by_o their_o travel_n vary_v perpetual_o the_o quantity_n of_o the_o day_n for_o it_o be_v manifest_a that_o he_o who_o from_o any_o place_n assign_v sail_v eastward_o move_v continual_o against_o the_o motion_n of_o the_o sun_n will_v shorten_v somewhat_o of_o his_o day_n take_v away_o so_o much_o from_o it_o as_o his_o journey_n in_o proportion_n of_o distance_n have_v oppose_v and_o anticipate_v in_o the_o time_n the_o diurnal_a course_n of_o the_o sun_n so_o that_o daily_o gain_v something_o from_o the_o length_n of_o the_o day_n which_o must_v be_v elsewhere_o recompense_v it_o must_v needs_o be_v that_o in_o the_o whole_a circuit_n of_o the_o earth_n it_o will_v amount_v to_o 24._o hour_n correspondent_a to_o the_o whole_a circuit_n of_o the_o sun_n and_o the_o compass_n of_o the_o earth_n which_o will_v make_v another_o day_n likewise_o if_o we_o suppose_v another_o in_o compass_v about_o the_o earth_n to_o go_v westward_o it_o can_v be_v otherwise_o imagine_v but_o that_o second_v the_o course_n of_o the_o sun_n by_o his_o own_o journey_n he_o will_v daily_o add_v somewhat_o to_o the_o length_n of_o his_o day_n answerable_a to_o his_o distance_n from_o the_o place_n wherein_o he_o begin_v to_o follow_v the_o sun_n in_o his_o course_n from_o east_n to_o west_n the_o daily_a addition_n to_o the_o length_n of_o the_o day_n proportional_a to_o the_o longitude_n which_o he_o change_v the_o sun_n run_v a_o like_a course_n must_v daily_o diminish_v somewhat_o of_o the_o diurnal_a course_n of_o the_o sun_n and_o so_o at_o his_o journey_n end_n which_o be_v suppose_v to_o be_v the_o whole_a circuit_n of_o the_o earth_n answerable_a to_o 24._o hour_n in_o the_o sun_n course_n it_o will_v loose_v a_o whole_a day_n to_o demonstrate_v both_o these_o case_n we_o will_v imagine_v in_o supposition_n that_o of_o these_o two_o travailler_n go_v the_o one_o eastward_o the_o other_o westward_o the_o former_a shall_v take_v away_o from_o the_o length_n of_o the_o day_n or_o the_o latter_a add_v to_o it_o for_o every_o 15._o mile_n one_o minute_n then_o by_o the_o golden_a rule_n if_o 15._o mile_n either_o subtract_v or_o add_v one_o
this_o meridian_n will_v cut_v the_o equatour_n in_o some_o degree_n or_o other_o which_o be_v number_v as_o before_o from_o the_o first_o meridian_n will_v show_v the_o direct_a longitude_n the_o like_a of_o which_o we_o have_v in_o the_o second_o case_n 2_o the_o meridian_n run_v through_o any_o place_n of_o the_o geographical_a table_n will_v point_v and_o design_n out_o in_o the_o equatour_n the_o degree_n of_o longitude_n this_o may_v easy_o be_v teach_v by_o the_o former_a way_n perform_v on_o the_o globe_n as_o for_o example_n if_o i_o shall_v inquire_v the_o longitude_n of_o paris_n the_o metropolis_n of_o france_n in_o a_o geographical_a map_n i_o find_v a_o meridian_n mark_v out_o which_o run_v if_o not_o direct_o through_o yet_o very_a near_o the_o say_a city_n this_o meridian_n i_o trace_v along_o to_o the_o southern_a part_n till_o i_o find_v it_o to_o meet_v and_o cut_v the_o equatour_n then_o observe_v i_o in_o what_o degree_n of_o the_o equatour_n it_o make_v his_o 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scaliger_n who_o will_v not_o have_v a_o ship_n to_o pass_v it_o under_o three_o month_n out_o of_o which_o he_o labour_v to_o prove_v this_o motion_n of_o the_o sea_n because_o the_o ship_n be_v long_o a_o go_v then_o return_v the_o second_o experiment_n he_o take_v from_o the_o observation_n of_o one_o john_n eupolius_fw-la who_o will_v to_o pass_v from_o the_o port_n of_o s._n blasi●●_n which_o be_v beyond_o the_o cape_n of_o good_a hope_n in_o africa_n to_o melinde_v towards_o the_o indies_n can_v not_o go_v forward_o by_o reason_n that_o the_o current_n as_o they_o call_v they_o drive_v they_o back_o from_o melinde_a to_o pate_n a_o town_n by_o this_o side_n of_o the_o indies_n whence_o he_o will_v conclude_v that_o the_o water_n shall_v in_o this_o place_n rather_o run_v from_o west_n to_o east_n towards_o the_o indies_n the_o three_o experiment_n be_v draw_v from_o the_o testimony_n of_o thomas_n lope_n who_o when_o he_o be_v to_o pass_v from_o the_o cape_n of_o good_a hope_n 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