m._n that_o also_o be_v true_a but_o if_o both_o the_o longitude_n &_o the_o latitude_n of_o a_o place_n be_v give_v you_o can_v but_o find_v it_o out_o present_o in_o this_o manner_n bring_v the_o degree_n of_o longitude_n unto_o the_o meridian_n set_v the_o globe_n fast_o and_o in_o the_o meridian_n seek_v out_o the_o latitude_n you_o shall_v be_v sure_a to_o find_v the_o place_n or_o at_o leastwise_o where_o it_o shall_v be_v if_o it_o be_v not_o express_v in_o the_o globe_n thus_o much_o concern_v the_o longitude_n and_o latitude_n p._n then_o must_v i_o trouble_v you_o with_o a_o question_n propound_v before_o which_o be_v this_o what_o thing_n they_o have_v common_a and_o wherein_o they_o may_v differ_v that_o have_v onâ—_n longitude_n the_o which_o question_n you_o promise_v to_o satish_a i_o in_o when_o you_o have_v discourse_v of_o the_o latitude_n m._n i_o will_v do_v what_o i_o can_v especial_o becuse_v i_o know_v it_o be_v most_o pleasant_a you_o see_v by_o the_o globe_n 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point_n set_v also_o the_o zenith_n in_o their_o place_n according_a as_o the_o elevation_n of_o the_o pole_n do_v direct_v you_o here_o must_v you_o conceive_v this_o that_o the_o great_a arcke_n of_o the_o meridian_n be_v the_o noonesteed_o line_n and_o the_o lesser_a arcke_n from_o the_o pole_n downward_o to_o the_o horizon_n and_o under_o it_o be_v the_o line_n of_o midnight_n then_o seek_v out_o the_o place_n of_o the_o sun_n for_o any_o day_n propound_v and_o bring_v it_o to_o the_o east_n side_n of_o the_o one_o globe_n and_o â—o_o the_o west_n side_n of_o the_o other_o for_o of_o they_o that_o be_v pecuâ—atly_o call_v perieci_n the_o one_o see_v the_o sun_n and_o star_n â—etting_v when_o the_o other_o see_v they_o rise_v afterwards_o turn_n the_o globe_n so_o about_o the_o one_o from_o you_o the_o oâ—her_n towards_o you_o in_o such_o sort_n that_o the_o place_n of_o the_o sun_n arise_v to_o the_o one_o may_v fall_v under_o the_o horizon_n of_o the_o oâ—her_n for_o by_o that_o mean_v you_o shall_v find_v out_o the_o community_n and_o difference_n speak_v of_o before_o p._n i_o do_v partly_o perceive_v the_o matter_n i_o hope_v by_o practice_n 〈◊〉_d understand_v it_o the_o better_a proceed_v now_o i_o pray_v you_o in_o â—hat_n which_o i_o request_v at_o your_o hand_n m._n as_o some_o of_o those_o which_o inhabit_v either_o the_o north_n â—r_n south_n part_n of_o the_o earth_n may_v have_v the_o same_o latitude_n â—ut_v diverse_a longitude_n so_o again_o some_o may_v have_v the_o â—â—me_n longitude_n but_o diverse_a latitude_n as_o they_o here_o in_o engâ—â—nd_n have_v the_o same_o longitude_n and_o be_v under_o the_o same_o meridian_n which_o the_o spaniard_n and_o those_o that_o dwell_v to_o â—he_n west_n side_n of_o africa_n yet_o do_v they_o all_o differ_v in_o longitude_n â—hese_n man_n have_v the_o self_n same_o hour_n of_o the_o day_n and_o ight_n with_o the_o four_o season_n of_o the_o year_n but_o in_o many_o â—ther_n thing_n they_o differ_v as_o they_o dwell_v near_o or_o further_a â—om_n the_o pole_n or_o near_o or_o further_o from_o the_o equator_fw-la â—hey_n that_o dwell_v near_o the_o equator_fw-la have_v the_o sun_n alâ—aies_v high_a above_o their_o horizon_n than_o the_o other_o that_o well_o further_o of_o also_o they_o which_o dwell_v near_o to_o the_o equator_fw-la have_v a_o long_a day_n in_o winter_n but_o a_o short_a night_n than_o they_o which_o dwell_v towards_o the_o pole_n but_o in_o sommeâ—_n they_o which_o dwell_v towards_o the_o pole_n have_v a_o long_a day_n &_o a_o short_a night_n than_o they_o that_o dwell_v towards_o the_o equator_fw-la as_o for_o example_n in_o winter_n the_o spaniard_n day_n be_v long_a than_o we_o namely_o while_o the_o sun_n be_v in_o the_o southern_a sign_n from_o the_o
instrument_n belong_v to_o the_o globe_n now_o you_o may_v take_v whâ—â—â—_n course_n you_o please_v for_o the_o circle_n and_o their_o use_n either_o siâ—â—plie_n alone_o or_o joint_o together_o or_o as_o they_o crave_v the_o helâ—_n of_o these_o instrument_n p._n i_o must_v needs_o confess_v my_o ignorance_n in_o the_o 〈◊〉_d matter_n to_o be_v great_a and_o therefore_o i_o be_o willing_a to_o taâ—â—_n the_o more_o pain_n i_o pray_v you_o give_v i_o leave_v to_o ask_v whâ—â—â—_n i_o think_v good_a and_o i_o will_v take_v the_o globe_n unto_o i_o and_o begin_v with_o the_o equator_fw-la follow_v from_o one_o to_o one_o uâ—_n till_o i_o have_v run_v they_o over_o all_o you_o say_v that_o the_o equator_fw-la be_v a_o great_a circle_n lie_v just_a in_o the_o midst_n between_o thâ—_n two_o pole_n therefore_o first_o i_o conclude_v this_o that_o the_o poâ—â—_n of_o the_o world_n be_v the_o pole_n of_o the_o equator_fw-la as_o for_o the_o degree_n of_o the_o equator_fw-la i_o see_v that_o they_o be_v 360._o and_o that_o the_o number_n go_v on_o continual_o from_o one_o to_o 360._o beginning_n â—hat_n point_n of_o the_o globe_n where_o the_o ecliptic_a cross_n â—â—oth_v bend_v toward_o the_o north_n pole_n m._n you_o say_v true_a these_o degree_n for_o distinction_n sake_n from_o the_o degree_n of_o other_o circle_n the_o grecian_n do_v call_v prevot_n the_o latin_n tempora_fw-la that_o be_v time_n because_o by_o they_o the_o several_a time_n of_o the_o day_n and_o night_n be_v limit_v 〈◊〉_d when_o soever_o there_o be_v any_o question_n make_v of_o any_o time_n be_v it_o a_o day_n or_o the_o part_n thereof_o it_o may_v well_o be_v resolve_v by_o the_o degree_n of_o the_o equator_fw-la yet_o the_o hour_n circle_n whereof_o we_o speak_v before_o do_v serve_v for_o that_o purpose_n p._n what_o be_v the_o reason_n of_o this_o name_n m._n it_o be_v so_o call_v because_o when_o the_o sun_n be_v under_o this_o circle_n the_o day_n and_o night_n be_v of_o a_o equal_a length_n p._n by_o your_o leave_n sir_n why_o do_v you_o say_v under_o this_o â—â—cle_n in_o common_a phrase_n of_o speech_n we_o say_v that_o the_o â—â—nne_n be_v in_o the_o equinoctial_a and_o in_o the_o ecliptic_a and_o in_o 〈◊〉_d meridian_n etc._n etc._n m._n it_o be_v true_a that_o we_o say_v so_o but_o in_o these_o kind_n of_o speech_n we_o use_v the_o word_n in_o for_o underneath_o or_o right_a against_o i_o tell_v you_o before_o that_o these_o circle_n which_o be_v describe_v in_o the_o globe_n be_v especial_o to_o be_v conceive_v in_o the._n 10._o sphere_n and_o consider_v that_o the_o sun_n be_v in_o the._n 7._o sphere_n beneath_o therefore_o we_o can_v true_o say_v that_o he_o 〈◊〉_d in_o the_o equator_fw-la etc._n etc._n but_o when_o we_o say_v so_o our_o meaning_n it_o this_o that_o he_o be_v underneath_o or_o right_a against_o some_o one_o 〈◊〉_d there_o circle_n so_o that_o a_o right_a line_n draw_v from_o the_o cenâ—â—â—_n of_o the_o world_n through_o the_o centre_n of_o the_o sun_n and_o continue_v up_o to_o the._n 10._o sphere_n will_v light_v upon_o that_o circle_n in_o the_o which_o the_o sun_n be_v say_v to_o be_v wherefore_o to_o return_v to_o my_o former_a speech_n when_o soever_o the_o sun_n be_v 〈◊〉_d that_o be_v to_o say_v underneath_o this_o circle_n the_o day_n and_o the_o night_n through_o out_o the_o world_n be_v equal_a wheresoeuâ—_n the_o sun_n rise_v &_o set_v within_o the_o space_n of_o 24._o hour_n and_o therefore_o it_o be_v call_v the_o equator_fw-la the_o graecian_a call_v it_o 〈◊〉_d 〈◊〉_d 〈◊〉_d 〈◊〉_d 〈◊〉_d which_o word_n for_o word_n may_v be_v team_v the_o equidiall_n but_o the_o latin_n follow_v the_o pleasantness_n of_o the_o word_n have_v choose_v rather_o the_o equinoctial_a derive_v the_o name_n from_o the_o night_n &_o not_o from_o tâ—_n day_n as_o the_o grecian_n do_v this_o circle_n be_v also_o term_v 〈◊〉_d girdle_n of_o the_o world_n in_o regard_n that_o it_o possess_v the_o middle_a place_n between_o the_o pole_n as_o a_o girdle_n on_o the_o body_n a_o man_n the_o seafaring_a man_n for_o the_o excellent_a use_n there_o do_v call_v it_o the_o line_n p._n in_o that_o this_o circle_n lie_v in_o the_o midst_n between_o the_o two_o pole_n what_o have_v i_o to_o note_v thereby_o m._n hereby_o the_o globe_n be_v divide_v into_o 2._o halfa_n which_o we_o call_v hemisphere_n whereof_o the_o one_o be_v the_o noâ—_n hemisphere_n from_o the_o equator_fw-la to_o the_o northpole_n the_o othâ—â—_n be_v the_o south_n item_n the_o equator_fw-la lie_v as_o it_o do_v be_v the_o begin_n of_o all_o declination_n whensoever_o therefore_o you_o shâ—_n hear_v hereafter_o of_o the_o declination_n of_o the_o star_n of_o 〈◊〉_d declination_n of_o the_o sun_n or_o of_o the_o sign_n it_o must_v be_v counâ—â—â—_n from_o this_o circle_n and_o whatsoever_o be_v precise_o in_o or_o unâ—_n this_o circle_n have_v no_o declination_n last_o of_o all_o in_o that_o the_o 〈◊〉_d quator_fw-la lie_v just_a in_o the_o midst_n between_o the_o two_o polâ—â—_n of_o the_o world_n we_o be_v to_o note_v this_o that_o it_o must_v need_n move_v uniformal_o according_a to_o the_o motion_n of_o the_o heaven_n at_o no_o time_n fast_o than_o at_o a_o other_o but_o look_v how_o many_o degree_n thereof_o arise_v &_o set_v in_o one_o hour_n so_o many_o degree_n arise_v and_o set_v in_o every_o other_o hour_n as_o you_o you_o self_n may_v prove_v hereafter_o and_o therefore_o as_o i_o say_v it_o be_v thâ—_n measure_n and_o rule_v of_o all_o time_n thus_o much_o concern_v thâ—_n equator_fw-la simple_o consider_v in_o itself_o p._n in_o the_o ecliptic_a for_o that_o be_v the_o next_o i_o thinâ—â—th_o there_o do_v many_o doubt_n arise_v you_o define_v it_o to_o be_v a_o great_a mooveable_a circle_n of_o the_o globe_n cut_v the_o equinoctial_a at_o oblique_a angle_n and_o decline_v from_o it_o 2d_o d._n 30_o m._n toward_o each_o pole_n of_o the_o world_n therefore_o by_o your_o general_n rule_v set_v down_o before_o concern_v the_o pole_n of_o the_o great_a circle_n i_o may_v conclude_v that_o the_o pole_n of_o the_o ecliptic_a be_v 23._o d._n 30_o m._n from_o the_o pole_n of_o the_o world_n but_o what_o be_v the_o chief_a end_n of_o the_o ecliptic_a m._n the_o chief_a use_n of_o this_o circle_n be_v to_o lay_v forth_o unto_o we_o the_o proper_a motion_n of_o the_o sun_n for_o even_o as_o you_o see_v the_o ecliptic_a line_n to_o traverse_v the_o heaven_n oblique_o and_o to_o decline_v both_o to_o the_o north_n &_o to_o the_o south_n pole_n even_o so_o do_v the_o sun_n keep_v his_o course_n never_o warue_v from_o this_o line_n but_o go_v on_o every_o day_n from_o the_o west_n to_o the_o eastward_o almost_o one_o degree_n of_o this_o cirâ—â—_n that_o be_v to_o say_v 59_o m._n 8._o sec_fw-la 19_o three_o 37._o fourth_n he_o fiâ—â—sheth_v his_o course_n within_o the_o space_n of_o 365._o day_n 5._o hour_n 〈◊〉_d min._n 26._o sec_fw-la 10._o three_o 56._o fourth_n which_o be_v the_o length_n of_o a_o year_n also_o this_o circle_n be_v the_o begin_n of_o all_o latitude_n so_o that_o whatsoever_o be_v distant_a from_o this_o circle_n either_o towards_o the_o one_o pole_n or_o towards_o the_o other_o be_v say_v to_o have_v a_o latitude_n as_o you_o shall_v see_v hereafter_o and_o whatsoever_o be_v in_o or_o under_o it_o have_v no_o latitude_n p._n then_o belike_o the_o sun_n never_o have_v any_o latitude_n for_o as_o you_o say_v even_o now_o the_o sun_n never_o swerve_v from_o the_o ecliptic_n line_n m._n you_o say_v true_a this_o circle_n also_o serve_v for_o the_o longitude_n of_o all_o star_n or_o what_o soever_o else_o be_v call_v in_o question_n in_o the_o heaven_n the_o which_o longitude_n how_o it_o be_v to_o be_v find_v i_o will_v declare_v unto_o you_o hereafter_o it_o serve_v also_o for_o the_o eclipse_n of_o the_o sun_n or_o moon_n as_o you_o may_v gather_v by_o the_o name_n for_o there_o be_v no_o eclipse_n but_o whâ—â—_n the_o sun_n or_o moon_n be_v both_o precise_o in_o or_o very_o near_o unto_o this_o circle_n to_o conclude_v whensoever_o there_o be_v a_o question_n move_v of_o the_o rise_n or_o set_v or_o any_o other_o thing_n else_o concern_v the_o sun_n we_o must_v have_v recouâ—â—_n to_o this_o circle_n because_o it_o represent_v as_o i_o say_v even_o not_o the_o progress_n of_o the_o sun_n and_o there_o be_v no_o day_n but_o thâ—_n sun_n possess_v one_o degree_n or_o a_o other_o of_o this_o circle_n the_o which_o degree_n must_v always_o be_v seek_v out_o whensever_fw-fr there_o be_v any_o conclusion_n to_o be_v wrought_v concern_v the_o sun_n or_o the_o place_n of_o the_o sun_n p._n be_v the_o degree_n of_o the_o circle_n as_o many_o as_o the_o degree_n of_o the_o equator_fw-la m._n i_o tell_v you_o
set_v in_o 〈◊〉_d west_n and_o here_o be_v the_o first_o mean_n offer_v to_o find_v 〈◊〉_d elevation_n of_o the_o pole_n this_o be_v certain_a that_o there_o be_v 〈◊〉_d elevation_n wherein_o one_o and_o the_o same_o star_n arise_v or_o â—â—â—eth_v with_o the_o same_o degree_n of_o the_o ecliptic_n with_o â—â—â—ch_n it_o rise_v and_o set_v in_o a_o other_o elevation_n but_o a_o star_n in_o each_o several_a elevation_n of_o the_o pole_n have_v â—â—uerall_a degree_n of_o the_o ecliptic_n with_o which_o it_o rise_v 〈◊〉_d set_v every_o day_n if_o the_o lesser_a dog_n arise_v in_o one_o â—â—e_v with_o the_o head_n of_o leo_n in_o a_o other_o place_n he_o arise_v 〈◊〉_d the_o 10._o or_o 20._o of_o leo._n therefore_o if_o you_o can_v observe_v 〈◊〉_d star_n rise_v in_o the_o horizon_n when_o the_o sun_n do_v 〈◊〉_d or_o set_v in_o the_o horizon_n when_o the_o sun_n do_v aâ—â—â—â—_n note_v the_o day_n of_o the_o month_n in_o the_o horizon_n and_o the_o degree_n of_o the_o ecliptic_n answerable_a to_o that_o day_n find_v out_o also_o the_o opposite_a degree_n then_o if_o you_o note_v the_o star_n to_o arise_v bring_v the_o star_n to_o the_o east_n side_n of_o the_o horizon_n and_o raise_v or_o depress_v the_o pole_n of_o the_o globe_n until_o the_o â—â—â—â—re_n and_o the_o degree_n of_o the_o ecliptic_a fall_n both_o together_o in_o the_o horizon_n for_o than_o shall_v the_o pole_n of_o the_o â—â—â—be_n be_v at_o his_o true_a elevation_n p._n if_o i_o note_v the_o star_n to_o set_v i_o must_v work_v this_o conclusion_n on_o the_o west_n side_n of_o the_o globe_n m._n it_o be_v so_o moreover_o if_o you_o note_v with_o what_o degree_n any_o star_n come_v to_o the_o meridian_n seek_v out_o the_o opposite_a degree_n when_o the_o sun_n possess_v that_o degree_n then_o at_o midnight_n you_o shall_v see_v the_o star_n in_o the_o meridian_n but_o we_o can_v from_o hence_o infer_v the_o elevation_n of_o the_o pole_n because_o every_o where_n be_v the_o pole_n high_o or_o low_o the_o star_n continual_o come_v to_o the_o meridian_n with_o the_o selfsame_o degree_n of_o the_o ecliptic_n here_o be_v occasion_n offer_v to_o deliver_v unto_o you_o the_o cosmical_a achronicall_a and_o helicall_a rise_n and_o set_v of_o the_o sign_n and_o star_n which_o be_v not_o to_o be_v neglect_v of_o young_a student_n especial_o such_o as_o be_v conversant_a in_o read_v of_o the_o poet_n because_o in_o many_o place_n they_o can_v hardly_o be_v understand_v without_o the_o knowledge_n of_o these_o thing_n cosmical_a rise_n and_o set_v of_o the_o star_n general_o take_v be_v their_o ascend_a and_o descend_v at_o any_o hour_n of_o the_o day_n whatsoever_o likewise_o we_o define_v general_o the_o achronicall_a rise_n and_o set_v of_o the_o sign_n and_o star_n to_o be_v their_o ascend_a and_o descend_v in_o the_o night_n but_o proper_o they_o be_v apply_v to_o that_o time_n only_o at_o which_o the_o sun_n do_v arise_v or_o set_v therefore_o the_o degree_n which_o the_o sun_n possess_v be_v apply_v to_o the_o east_n side_n of_o the_o horizon_n the_o sign_n or_o star_n which_o be_v then_o on_o the_o east_n side_n of_o the_o horizon_n with_o the_o sun_n be_v say_v to_o arise_v cosmicallie_o and_o they_o which_o at_o the_o same_o time_n be_v in_o the_o west_n side_n of_o the_o horizon_n be_v say_v to_o set_v cosmicallie_o furthermore_o the_o degree_n which_o the_o sun_n possess_v be_v bring_v to_o the_o west_n side_n of_o the_o horizon_n the_o sign_n or_o star_n that_o be_v on_o that_o side_n with_o the_o say_a degree_n do_v set_v achronicallie_o that_o be_v by_o interpretation_n in_o the_o edge_n of_o the_o night_n and_o they_o on_o the_o other_o side_n arise_v achronicallie_o whereby_o this_o appear_v that_o what_o sign_n or_o star_n soever_o arise_v cosmicallie_o the_o same_o do_v set_v achronicallie_o and_o contrariwise_o likewise_o what_o star_n or_o sign_n soever_o rise_v achronicallie_o the_o same_o do_v set_v cosmicallie_o and_o contrariwise_o the_o helicall_a rise_n of_o the_o star_n be_v their_o appearance_n after_o they_o have_v be_v hide_v by_o the_o beam_n of_o the_o sun_n the_o helicall_a set_n of_o the_o star_n be_v the_o hide_v by_o the_o beam_n of_o the_o sun_n for_o this_o you_o must_v note_v that_o the_o sun_n move_v from_o the_o west_n to_o the_o east_n do_v by_o little_a and_o little_o gather_v upon_o the_o star_n which_o be_v eastward_o from_o he_o and_o come_v near_o unto_o they_o within_o some_o 15._o degree_n little_o more_o or_o less_o according_a to_o the_o quantity_n of_o the_o star_n by_o his_o brightness_n he_o obscure_v their_o light_n and_o then_o be_v they_o say_v to_o set_v helicallie_o afterward_o the_o sun_n keep_v on_o his_o course_n leave_v the_o star_n to_o be_v see_v towards_o the_o west_n then_o be_v they_o say_v to_o rise_v helicallie_o by_o the_o globe_n you_o shall_v gather_v the_o helicall_a rise_n and_o set_v thus_o turn_v the_o degree_n which_o the_o sun_n possess_v to_o the_o east_n side_n of_o the_o horizon_n the_o star_n which_o be_v alittle_o above_o it_o be_v those_o which_o be_v rise_v helicallie_o for_o the_o sun_n have_v leave_v they_o to_o be_v see_v before_o his_o rise_n again_o turn_v the_o degree_n which_o the_o sun_n possess_v to_o the_o west_n side_n of_o the_o horizon_n the_o star_n which_o be_v alittle_o above_o it_o be_v those_o which_o be_v ready_a to_o set_v helicallie_o for_o the_o sun_n will_v come_v upon_o they_o from_o the_o west_n the_o next_o thing_n to_o be_v note_v be_v the_o amplitude_n of_o the_o sun_n or_o star_n p._n tell_v i_o what_o it_o be_v how_o it_o be_v divide_v what_o use_v it_o have_v m._n the_o amplitude_n be_v to_o be_v consider_v at_o the_o instant_a time_n of_o the_o rise_n and_o set_v of_o the_o sun_n or_o star_n and_o not_o else_o the_o amplitude_n be_v the_o distance_n of_o the_o sun_n or_o star_n from_o the_o true_a east_n or_o west_n measure_v by_o the_o arcke_n of_o the_o horizon_n therefore_o you_o must_v bring_v the_o place_n of_o the_o sun_n that_o be_v the_o degree_n of_o the_o ecliptic_n which_o the_o sun_n possess_v or_o the_o star_n assign_v to_o the_o east_n or_o west_n side_n of_o the_o horizon_n according_a as_o the_o time_n require_v then_o mark_v how_o many_o degree_n of_o the_o horizon_n be_v contain_v between_o the_o sun_n or_o the_o star_n and_o the_o true_a east_n or_o west_n point_n of_o the_o horizon_n for_o those_o degreeâ—_n express_v the_o amplitude_n amplitude_n be_v either_o north_n or_o south_n north_n amplitude_n be_v the_o arcke_n of_o the_o horizon_n count_v from_o the_o true_a east_n or_o west_n northward_o south_n amplitude_n be_v to_o the_o southward_n the_o seafaring_a man_n keep_v account_v as_o i_o tell_v you_o before_o by_o the_o point_n of_o the_o compass_n but_o it_o be_v better_a to_o observe_v the_o amplitude_n by_o degree_n the_o sun_n or_o star_n under_o the_o equator_fw-la have_v not_o amplitude_n because_o that_o circle_n always_o rise_v and_o set_v full_a east_n and_o west_n for_o the_o other_o point_n of_o heaven_n this_o be_v general_a that_o those_o which_o have_v equal_a declination_n have_v equal_a amplitude_n be_v it_o to_o the_o north_n or_o to_o the_o southward_n in_o a_o right_a sphere_n the_o declination_n and_o amplitude_n of_o the_o sun_n and_o star_n be_v of_o one_o quantity_n so_o that_o know_v the_o one_o i_o know_v the_o other_o therefore_o if_o at_o any_o time_n in_o travail_v we_o find_v the_o declination_n and_o amplitude_n of_o the_o sun_n or_o star_n to_o agree_v together_o it_o be_v a_o certain_a sign_n that_o we_o be_v then_o under_o the_o equator_fw-la and_o our_o zenith_n be_v just_a in_o that_o circle_n p._n then_o may_v i_o infer_v this_o also_o that_o for_o so_o much_o as_o the_o meridian_n of_o a_o right_a sphere_n &_o the_o horizon_n may_v be_v count_v as_o one_o if_o the_o distance_n of_o the_o sun_n or_o star_n from_o one_o zenith_n be_v equal_a unto_o their_o declination_n we_o be_v just_a under_o the_o equinoctial_a m._n you_o say_v true_a in_o any_o oblique_a sphere_n the_o declination_n and_o amplitude_n of_o the_o sun_n or_o star_n do_v always_o differ_v for_o the_o amplitude_n do_v exceed_v the_o declination_n yet_o be_v it_o never_o more_o than_o 90._o degree_n where_o the_o pole_n be_v elevate_v as_o you_o may_v perceive_v by_o the_o globe_n 66._o d._n 30._o min._n the_o amplitude_n of_o the_o sun_n in_o the_o tropical_a point_n be_v 90._o degree_n where_o the_o pole_n be_v in_o our_o zenith_n there_o be_v no_o account_n make_v of_o the_o amplitude_n because_o there_o be_v neither_o rise_n nor_o set_v of_o the_o star_n the_o use_n of_o the_o amplitude_n be_v in_o the_o find_n of_o the_o elevation_n of_o the_o pole_n
be_v there_o any_o excellent_a thing_n to_o be_v gather_v by_o the_o meridian_n altitude_n of_o the_o sun_n or_o star_n m._n yea_o for_o it_o bring_v we_o to_o the_o elevation_n of_o the_o pole_n for_o consider_v that_o each_o several_a elevation_n of_o the_o pole_n have_v a_o several_a and_o peculiar_a elevation_n of_o the_o sun_n or_o star_n therefore_o by_o it_o we_o may_v know_v the_o elevation_n of_o the_o pole_n if_o the_o elevation_n of_o the_o sun_n or_o star_n be_v equal_a to_o the_o complement_n of_o their_o declination_n then_o be_v we_o just_a under_o the_o equator_fw-la and_o both_o the_o pole_n be_v in_o the_o horizon_n if_o the_o elevation_n be_v equal_a to_o their_o declination_n then_o be_v we_o just_a under_o the_o pole_n the_o other_o elevation_n of_o the_o pole_n be_v find_v by_o addition_n or_o subduction_n â—n_o this_o manner_n if_o the_o sun_n or_o star_n decline_v towards_o the_o pole_n elevate_v the_o declination_n be_v subduct_v from_o the_o meridian_n altitude_n leave_v the_o height_n of_o the_o equator_fw-la which_o be_v always_o the_o complement_n of_o the_o elevation_n of_o the_o pole_n therefore_o if_o you_o take_v the_o height_n of_o the_o equator_fw-la from_o 90._o you_o have_v the_o elevation_n of_o the_o pole_n if_o the_o sun_n or_o star_n decline_v from_o the_o pole_n elevate_v their_o declination_n add_v to_o the_o meridian_n altitude_n geve_v the_o height_n of_o the_o equator_fw-la and_o consequent_o the_o height_n of_o the_o pole_n p._n but_o what_o if_o the_o sun_n or_o star_n have_v no_o declination_n m._n then_o be_v this_o a_o general_a rule_n that_o the_o sun_n oâ—_n star_n be_v then_o in_o the_o equator_fw-la and_o therefore_o the_o meridian_n altitude_n express_v the_o height_n of_o the_o equator_fw-la which_o be_v subduct_v from_o 90_o geve_v the_o pole_n thus_o much_o concern_v the_o meridian_n altitude_n of_o the_o sun_n or_o starrâ—_n the_o intermeridian_n altitude_n be_v the_o distance_n of_o the_o sun_n or_o star_n from_o the_o horizon_n when_o they_o be_v in_o some_o other_o place_n of_o heaven_n and_o not_o in_o the_o meridian_n this_o altitude_n be_v either_o antemeridian_n or_o postmeridian_n the_o antemeridian_n altitude_n be_v the_o distance_n of_o the_o sun_n or_o star_n from_o the_o horizon_n at_o any_o time_n before_o noon_n the_o post_n meridian_n altitude_n be_v the_o distance_n of_o the_o sun_n or_o starrâ—_n from_o the_o horizon_n after_o noon_n and_o for_o so_o much_o as_o thâ—_n sun_n or_o star_n by_o their_o proper_a motion_n make_v but_o smaâ—_n difference_n in_o their_o place_n so_o that_o it_o can_v sensible_o be_v perceave_v in_o the_o after_o noon_n a_o that_o they_o have_v move_v from_o that_o place_n wherein_o they_o be_v in_o the_o forenoon_n therefore_o we_o say_v that_o the_o antemeridian_n &_o postmeridian_n altitude_n of_o the_o sun_n or_o star_n be_v all_o one_o this_o be_v suppose_v that_o they_o be_v equal_o distant_a from_o the_o meridian_n 〈◊〉_d search_v out_o the_o antemeridian_n or_o postmeridian_n altitude_n of_o the_o sun_n or_o star_n the_o rule_n be_v all_o one_o with_o that_o general_a rule_n which_o i_o give_v you_o before_o so_o that_o the_o sun_n oâ—_n star_n be_v suppose_v to_o be_v in_o any_o place_n above_o the_o horizon_n bet_v ween_v it_o and_o the_o meridan_n p._n but_o put_v case_n that_o i_o do_v not_o suppose_v the_o sun_n or_o star_n to_o be_v in_o any_o place_n may_v not_o i_o find_v out_o bâ—_n the_o globe_n their_o certain_a and_o true_a altitude_n which_o the_o have_v in_o heaven_n m._n this_o you_o must_v understand_v that_o some_o thing_n arâ—_n find_v out_o immediate_o some_o thing_n mediate_o by_o certain_a mean_n if_o the_o sun_n shine_v he_o will_v bewray_v his_o own_o height_n by_o the_o help_n of_o the_o spherical_a gnomon_n but_o the_o height_n of_o the_o star_n can_v so_o be_v find_v out_o for_o they_o require_v the_o knowledge_n of_o the_o hour_n or_o some_o other_o such_o like_a thing_n as_o you_o shall_v perceive_v hereafter_o p._n tell_v i_o then_o how_o shall_v i_o find_v the_o height_n of_o the_o sun_n by_o the_o spherical_a gnomon_n m._n rectify_v your_o globe_n perfect_o in_o the_o open_a air_n where_o the_o sun_n shine_v so_o that_o it_o may_v stand_v precise_o north_n and_o south_n and_o that_o the_o horizon_n be_v level_a and_o the_o pole_n raise_v as_o it_o be_v convenient_a set_v your_o spherical_a gnomon_n upon_o the_o place_n of_o the_o sun_n on_o the_o east_n or_o west_n side_n of_o the_o globe_n according_a as_o the_o time_n require_v and_o turn_v the_o globe_n to_o and_o fro_o until_o the_o gnomon_n geve_v no_o shadow_n they_o if_o you_o fasten_v the_o globe_n that_o it_o move_v not_o &_o bring_v the_o quadrant_a of_o altitude_n over_o the_o place_n of_o the_o sun_n the_o degree_n thereof_o intercept_v between_o the_o place_n of_o the_o sun_n &_o the_o horizon_n will_v express_v the_o true_a height_n of_o the_o sun_n thus_o much_o concern_v the_o altitude_n of_o the_o sun_n or_o star_n p._n now_o teach_v i_o how_o i_o may_v know_v how_o long_o they_o continue_v above_o the_o horizon_n m._n here_o you_o must_v note_v this_o that_o for_o so_o much_o as_o the_o sun_n be_v the_o efficient_a cause_n of_o the_o day_n therefore_o to_o know_v how_o long_o he_o continue_v above_o the_o horizon_n be_v to_o know_v the_o length_n of_o the_o day_n which_o be_v find_v in_o several_a manner_n first_o thus_o bring_v the_o degree_n which_o the_o sun_n possess_v to_o the_o east_n side_n of_o the_o horizon_n then_o rectify_v the_o index_n set_v if_o upon_o 12._o a_o clock_n in_o the_o hour_n circle_n turn_v the_o globe_n about_o until_o the_o say_a degree_n come_v to_o the_o west_n side_n of_o the_o horizon_n the_o hour_n which_o the_o index_n run_v over_o express_v the_o continuance_n of_o the_o sun_n above_o the_o horizon_n in_o like_a manner_n may_v you_o find_v how_o long_o any_o star_n continue_v above_o the_o horizon_n the_o second_o way_n to_o find_v 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so_o shall_v you_o have_v the_o star_n in_o your_o globe_n answerable_a to_o they_o which_o be_v see_v in_o heaven_n then_o apply_v your_o quadrant_a of_o altitude_n unto_o they_o you_o shall_v find_v the_o height_n of_o each_o several_a star_n now_o mark_v you_o well_o how_o many_o thing_n follow_v hereupon_o by_o this_o mean_v you_o may_v come_v unto_o the_o knowledge_n of_o the_o star_n especial_o if_o you_o set_v the_o globâ—_n north_n and_o south_n for_o then_o the_o globe_n will_v be_v so_o answerable_a to_o the_o heaven_n that_o you_o can_v but_o know_v thâ—_n star_n of_o the_o heaven_n by_o the_o star_n of_o the_o globe_n foâ—_n that_o star_n in_o the_o globe_n which_o in_o place_n and_o height_n 〈◊〉_d answerable_a to_o the_o like_a star_n in_o heaven_n afford_v thâ—_n name_n and_o title_n thereof_o item_n the_o hour_n be_v find_v bâ—_n the_o star_n height_n or_o the_o height_n be_v find_v by_o thâ—_n hour_n as_o i_o teach_v you_o even_o now_o if_o you_o fasten_v the_o globe_n and_o bring_v the_o quadrant_a of_o altitude_n over_o the_o centre_n of_o thâ—_n star_n you_o shall_v find_v upon_o what_o point_n of_o the_o compaâ—â—â—_n any_o star_n be_v and_o how_o many_o degree_n it_o be_v distant_a froâ—_n either_o of_o the_o four_o cardinal_a point_n of_o the_o horizon_n â—tem_fw-la you_o shall_v find_v the_o culminant_a star_n that_o be_v thoâ—â—_n star_n which_o pass_v over_o your_o zenith_n item_n you_o maâ—_n thus_o find_v the_o four_o cardinal_a point_n of_o heaven_n with_o thâ—_n beginning_n of_o the_o twelve_o house_n and_o how_o far_o thâ—_n sun_n be_v distant_a from_o the_o horizon_n according_a as_o i_o deliver_v it_o before_o in_o speak_v of_o find_v the_o hour_n of_o thâ—_n day_n by_o the_o sun_n p._n but_o may_v the_o height_n of_o the_o pole_n be_v find_v by_o thâ—_n star_n as_o it_o be_v find_v by_o the_o sun_n m._n it_o can_v be_v find_v by_o the_o shadow_n of_o thâ—_n spherical_a gnomon_n because_o the_o beam_n of_o the_o star_n iâ—_n so_o weak_a that_o it_o can_v cause_v a_o shadow_n but_o the_o meridian_n altitude_n of_o any_o star_n be_v give_v the_o height_n of_o thâ—_n pole_n be_v present_o find_v by_o the_o globe_n in_o this_o manneâ—â—_n bring_v the_o star_n who_o meridian_n altitude_n be_v know_v untâ—_n the_o meridian_n of_o the_o globe_n either_o to_o the_o north_n or_o souâ—â—_n side_n thereof_o as_o the_o star_n itself_o do_v admonish_v you_o then_o raise_v or_o let_v fall_v the_o pole_n of_o your_o globe_n untâ—_n there_o be_v so_o many_o degree_n of_o the_o meridian_n contayneâ—_n between_o the_o centre_n of_o the_o star_n and_o the_o horizon_n as_o â—he_v height_n find_v out_o amount_v unto_o so_o shall_v the_o pole_n of_o the_o globe_n have_v his_o due_a elevation_n p._n let_v we_o now_o return_v to_o our_o former_a purpose_n you_o â—â—id_v even_o now_o that_o by_o supposition_n of_o some_o one_o thing_n or_o â—nother_n many_o conclusion_n may_v be_v perform_v by_o the_o globe_n without_o the_o sight_n or_o shine_v of_o the_o sun_n or_o â—â—arres_n as_o you_o show_v it_o by_o example_n in_o suppose_v the_o â—eight_n of_o the_o sun_n or_o star_n to_o be_v know_v or_o the_o hour_n â—f_o the_o day_n or_o night_n and_o from_o thence_o you_o derive_v maâ—y_v other_o conclusion_n have_v you_o any_o other_o proposition_n â—ending_v to_o the_o same_o effect_n m._n yea_o there_o be_v many_o for_o out_o of_o any_o one_o thing_n almost_o all_o the_o other_o may_v arise_v because_o there_o be_v in_o they_o a_o â—ertaine_a reciprocation_n &_o a_o necessary_a consequence_n from_o â—he_n one_o unto_o the_o other_o as_o thus_o if_o the_o hour_n be_v know_v &_o the_o height_n of_o the_o sun_n
13._o of_o september_n to_o the_o 11._o of_o march_n but_o from_o the_o eleven_o of_o march_n to_o the_o 13_o of_o september_n our_o day_n be_v always_o long_o than_o they_o again_o from_o the_o 13._o of_o september_n to_o the_o eleven_o of_o march_n their_o night_n be_v short_a than_o we_o but_o from_o the_o 11._o of_o march_n to_o the_o 13._o of_o september_n our_o night_n be_v short_a than_o they_o moreover_o the_o sun_n never_o rise_v unto_o these_o man_n at_o one_o hour_n ercept_v he_o be_v in_o the_o equator_fw-la as_o for_o example_n to_o we_o and_o the_o spaniard_n while_o the_o sun_n be_v in_o the_o north_n sign_n he_o rise_v more_o early_a and_o shine_v long_a to_o we_o than_o to_o they_o but_o the_o sun_n be_v in_o the_o south_n sign_n he_o rise_v more_o early_a and_o shine_v long_a to_o they_o than_o to_o we_o last_o of_o alâ—_n the_o sun_n never_o rise_v or_o set_v to_o they_o and_o we_o on_o the_o same_o point_n of_o the_o compass_n etc._n etc._n all_o which_o thing_n you_o may_v easy_o perceive_v to_o be_v true_a by_o those_o rule_n which_o you_o have_v hear_v before_o in_o the_o celestial_a globe_n if_o you_o do_v buâ—_n find_v out_o by_o the_o terrestrial_a globe_n their_o feverall_a latitude_n that_o dwell_v under_o the_o same_o meridian_n and_o then_o raise_v the_o pole_n several_o work_v the_o conclusion_n aforesaid_a according_a as_o you_o have_v be_v teach_v p._n have_v not_o these_o people_n any_o peculiar_a name_n which_o dwell_v under_o one_o meridian_n but_o differ_v in_o latitude_n m._n no_o but_o there_o be_v another_o kind_n of_o people_n have_v one_o longitude_n which_o have_v a_o peculiar_a name_n and_o be_v call_v anteci_n they_o be_v such_o inhabitant_n of_o the_o earth_n as_o dwell_v under_o one_o meridian_n and_o have_v the_o same_o longitude_n &_o also_o the_o same_o latitude_n but_o towards_o diverse_a pole_n so_o that_o as_o far_o the_o one_o dwell_v from_o the_o equator_fw-la northward_o the_o other_o have_v the_o same_o distance_n from_o it_o southward_o and_o as_o high_a as_o the_o north_n pole_n be_v raise_v to_o the_o one_o so_o high_a be_v the_o south_n pole_n raise_v to_o the_o other_o such_o be_v they_o that_o dwell_v in_o the_o west_n side_n of_o arabia_n twenty_o degree_n northward_o and_o they_o that_o dwell_v in_o madagascar_n in_o the_o same_o longitude_n twenty_o degree_n to_o the_o south_n ward_n these_o man_n have_v the_o day_n and_o night_n of_o equal_a length_n the_o sun_n rise_v and_o set_v at_o the_o same_o hour_n on_o the_o same_o point_n of_o the_o compass_n but_o at_o diverse_a time_n and_o the_o season_n of_o the_o year_n be_v opposite_a as_o when_o it_o be_v summer_n to_o they_o which_o dwell_v in_o aâ—abia_n it_o be_v winter_n to_o they_o in_o madagascar_n and_o contrariwise_o when_o the_o day_n be_v long_a to_o they_o in_o arabia_n it_o â—s_v short_a to_o they_o in_o madagascar_n furthermore_o if_o the_o sun_n rise_v 25_o degree_n from_o the_o east_n to_o they_o in_o arabia_n he_o rise_v so_o many_o degree_n from_o the_o east_n to_o they_o in_o madagascar_n but_o to_o the_o one_o in_o summer_n to_o the_o other_o in_o winter_n if_o the_o day_n be_v fourteen_o hour_n long_o to_o they_o in_o aâ—abia_n it_o be_v so_o long_o also_o to_o they_o in_o madagascar_n but_o he_o possess_v contrary_a sign_n these_o thing_n may_v several_o be_v try_v by_o the_o globe_n or_o by_o compare_v your_o 2._o globe_n together_o and_o raise_v the_o north_n pole_n of_o the_o one_o and_o he_o south_n pole_n of_o the_o other_o above_o the_o horizon_n so_o â—hall_v you_o see_v that_o that_o degree_n of_o the_o ecliptic_a which_o continu_v long_a above_o the_o horizon_n to_o they_o that_o dwell_v northward_o continue_v the_o short_a above_o their_o horizon_n that_o dwell_v southward_o moreover_o also_o you_o may_v perceive_v this_o that_o they_o which_o dwell_v northward_o see_v the_o sun_n rise_v and_o the_o heaven_n move_v from_o the_o left_a and_o to_o the_o right_n but_o they_o which_o be_v to_o the_o southward_o see_v the_o sun_n arise_v and_o the_o heaven_n move_a froâ—_n the_o right_a hand_n to_o the_o left_a beside_o these_o inhabitant_n before_o name_v there_o be_v other_o to_o be_v note_v which_o because_o they_o go_v foot_n to_o foot_n right_o opposite_a one_o to_o the_o other_o they_o be_v therefore_o call_v of_o the_o grecian_n antipode_n and_o antichthones_n because_o they_o dwell_v in_o opposite_a place_n of_o the_o earth_n p._n i_o think_v it_o be_v impossible_a that_o you_o speak_v oâ—_n how_o can_v they_o that_o be_v under_o we_o walk_v upon_o the_o eaâ—â—_n without_o fall_v can_v two_o man_n walk_v the_o one_o on_o the_o to_o of_o a_o wheel_n the_o other_o on_o the_o nether_a side_n thereof_o with_o out_o tumble_v down_o m._n your_o reason_n be_v not_o alike_o in_o the_o wheel_n and_o 〈◊〉_d the_o earth_n all_o they_o that_o dwell_v upon_o the_o earth_n have_v oâ—_n common_a centre_n in_o the_o globe_n of_o thâ—_n earth_n unto_o whiâ—â—_n they_o do_v natural_o tend_v in_o respect_n of_o their_o gravity_n anâ—_n therefore_o where_o soever_o they_o stand_v they_o can_v fall_v from_o the_o earth_n but_o bend_v natural_o unto_o the_o centre_n thereoâ—_n but_o they_o which_o stand_v upon_o a_o wheel_n or_o any_o such_o rounâ—_n thing_n else_o have_v not_o any_o one_o point_n in_o the_o wheel_n or_o 〈◊〉_d the_o round_a body_n unto_o the_o which_o they_o do_v natural_a bend_v and_o therefore_o whensoever_o he_o come_v unto_o anâ—_n such_o place_n of_o the_o wheel_n wherein_o his_o leg_n can_v keep_v thâ—_n weightines_n of_o his_o body_n perpendicular_a and_o imminent_a the_o centre_n of_o the_o wheel_n he_o must_v needs_o fall_v from_o thâ—_n wheel_n towards_o that_o centre_n unto_o which_o natural_o he_o iâ—_n cline_v which_o be_v the_o centre_n of_o the_o earth_n this_o be_v certain_a both_o by_o reason_n and_o experience_n of_o our_o own_o countries_n that_n there_o be_v antipode_n and_o therefore_o let_v the_o truâ—_n prevail_v with_o we_o more_o than_o the_o opinion_n either_o of_o aâ—gustine_n or_o lactantius_n who_o have_v stout_o deny_v tâ—â—_n antipode_n yea_o lactantius_n as_o i_o remember_v hold_v it_o heresy_n and_o count_v they_o accurse_v that_o say_v there_o be_v antipode_n p._n how_o do_v you_o define_v the_o antipode_n m._n they_o be_v certain_a inhabitant_n of_o the_o earth_n right_o opposite_a one_o to_o another_o in_o the_o extremity_n of_o the_o diameter_n of_o the_o globe_n therefore_o the_o antipode_n have_v the_o same_o meridian_n yet_o they_o differ_v in_o longitude_n one_o from_o the_o other_o 80_o degree_n they_o have_v the_o same_o horizon_n indeed_o but_o differ_v in_o reason_n namely_o thus_o that_o the_o zenith_n or_o vertical_a point_n of_o the_o one_o be_v the_o nadir_n to_o the_o horizon_n of_o the_o other_o and_o contrariwise_o they_o have_v also_o the_o same_o latitude_n but_o bend_v towards_o contrary_a pole_n p._n how_o shall_v i_o ready_o by_o the_o globe_n find_v out_o who_o â—e_a antipode_n one_o to_o another_o m._n bring_v any_o point_n or_o place_n assign_v in_o the_o globe_n into_o the_o meridian_n and_o note_v what_o latitude_n it_o have_v the_o â—oint_n or_o place_n have_v the_o self_n same_o latitude_n in_o the_o merdian_n under_o the_o horizon_n be_v the_o habitation_n of_o they_o that_o â—â—e_v antipode_n to_o the_o former_a such_o be_v the_o inhabitant_n of_o trinideda_n and_o java_fw-la maior_fw-la also_o the_o inhabitant_n of_o old_a and_o new_a guinea_n with_o infinite_a other_o place_n of_o the_o earth_n who_o antipode_n be_v not_o yet_o discoveree_v the_o antipode_n have_v all_o thing_n contrary_a except_v those_o that_o dwell_v â—nder_o the_o equinoctial_a if_o the_o heaven_n move_v to_o the_o one_o â—â—om_n the_o left_a hand_n to_o the_o right_n it_o move_v contrary_a way_n into_o the_o other_o if_o it_o be_v day_n to_o the_o one_o it_o be_v night_n to_o the_o â—ther_n if_o the_o sun_n rise_v to_o the_o one_o he_o set_v to_o the_o other_o 〈◊〉_d the_o day_n or_o night_n increase_v to_o the_o one_o it_o decrease_v to_o â—he_n other_o if_o it_o be_v summer_n to_o the_o one_o it_o be_v winter_n to_o he_o other_o etc._n etc._n p._n why_o do_v you_o make_v exception_n of_o those_o that_o dwell_v â—nder_o the_o equator_fw-la m._n because_o they_o be_v aswell_o perieci_n as_o antipode_n have_v all_o the_o season_n of_o the_o year_n agreeable_a and_o the_o same_o length_n of_o day_n &_o night_n &_o the_o sun_n rise_v &_o set_v at_o the_o same_o hour_n yet_o when_o he_o rise_v to_o the_o one_o he_o set_v to_o the_o other_o &_o the_o hour_n of_o day_n and_o night_n be_v opposite_a for_o when_o it_o be_v high_a noon_n to_o the_o one_o it_o be_v midnight_n to_o the_o other_o when_o it_o be_v 11._o a_o clock_n
in_o the_o morning_n to_o the_o one_o it_o be_v 11._o a_o clock_n at_o night_n to_o the_o other_o etc._n etc._n thus_o brief_o concern_v the_o community_n &_o difference_n incident_a to_o sundry_a inhabitaute_n of_o the_o earth_n in_o regard_n of_o their_o difference_n and_o agreement_n either_o in_o longitude_n or_o latitude_n let_v we_o now_o speak_v of_o the_o meridian_n p._n i_o think_v that_o it_o have_v the_o same_o use_n in_o divide_v the_o terrestrial_a which_o it_o have_v in_o divide_v the_o celestial_a globe_n into_o two_o several_a part_n whereof_o the_o one_o be_v the_o east_n the_o other_o the_o west_n so_o that_o what_o people_n or_o country_n soever_o be_v towards_o the_o east_n side_n from_o the_o meridian_n of_o any_o place_n may_v be_v call_v the_o eastern_a people_n and_o the_o other_o towards_o the_o set_n of_o the_o sun_n may_v be_v call_v the_o western_a people_n m._n it_o be_v true_a that_o they_o may_v be_v so_o call_v but_o it_o be_v respective_o only_o in_o regard_n of_o the_o place_n wherein_o you_o dwell_v otherwise_o the_o true_a east_n and_o west_n part_n of_o the_o terrestrial_a globe_n be_v limit_v by_o the_o first_o meridian_n or_o circle_n of_o longitude_n what_o country_n soever_o lie_v from_o that_o meridian_n eastward_o a_o hundred_o and_o eighty_o degree_n be_v call_v the_o east_n country_n and_o the_o other_o be_v call_v the_o west_n yea_o the_o name_n of_o these_o place_n by_o mean_n oâ—_n the_o first_o inventor_n of_o geographie_n be_v know_v so_o authentical_a that_o they_o be_v not_o change_v as_o the_o other_o be_v which_o only_o be_v speak_v respective_o for_o albeit_o it_o so_o fall_v out_o aâ—_n many_o time_n it_o do_v in_o travail_v sarre_n that_o hispaniola_n or_o cuba_n brasill_n and_o all_o that_o cost_n of_o america_n do_v lie_v from_o we_o to_o the_o eastward_o yet_o do_v we_o common_o call_v they_o the_o west_n india_n again_o thongh_v that_o sumatra_n borneo_n the_o moluccas_n and_o diverse_a other_o place_n also_o thereabouts_o be_v from_o we_o towards_o the_o set_n of_o the_o sun_n yet_o do_v we_o term_v and_o call_v they_o by_o the_o name_n of_o east_n india_n p._n what_o be_v the_o partition_n in_o the_o meridian_n m._n those_o which_o be_v next_o unto_o the_o globe_n be_v the_o legree_n which_o have_v no_o other_o use_n than_o have_v be_v speak_v of_o â—ther_o in_o the_o celestial_a globe_n or_o heretofore_o in_o the_o terrestrial_a when_o i_o speak_v of_o find_v the_o latitude_n of_o any_o place_n but_o â—esides_v the_o degree_n there_o be_v other_o partition_n serve_v particular_o unto_o the_o terrestrial_a globe_n those_o partition_n which_o be_v next_o above_o the_o degree_n express_v the_o quantity_n â—f_n the_o long_a day_n so_o that_o when_o you_o shall_v hear_v the_o day_n 〈◊〉_d be_v 13.15.24_o hour_n long_o or_o 1.2.3_o month_n long_a etc._n etc._n you_o may_v by_o these_o partition_n find_v out_o what_o people_n â—â—ey_n be_v which_o have_v the_o day_n of_o such_o a_o length_n the_o upper_a â—ost_o partition_n be_v the_o climate_n p._n what_o be_v that_o which_o you_o call_v a_o climate_n m._n it_o be_v nothing_o but_o a_o certain_a space_n of_o the_o earth_n untain_v between_o two_o imaginary_a circle_n parallel_v â—â—to_o the_o equator_fw-la from_o the_o beginning_n of_o which_o space_n â—â—to_o the_o end_n the_o long_a day_n admit_v the_o difference_n of_o half_a a_o hour_n as_o for_o example_n the_o space_n of_o the_o trestriall_a globe_n between_o the_o 12._o d._n 45._o min._n of_o latitude_n â—here_o the_o long_a day_n be_v 12._o hour_n and_o three_o quarter_n to_o the_o latitude_n of_o 20._o d._n 30._o m._n where_o the_o long_a day_n be_v the_o hour_n ¼_n be_v call_v a_o climate_n p._n how_o many_o climate_n be_v there_o m._n the_o number_n of_o the_o climate_n be_v diverse_a the_o ancient_a cosmographer_n make_v but_o 7._o beginning_n at_o the_o 12._o d._n 45._o m._n of_o latitude_n and_o end_v at_o the_o 50._o d._n 30._o m._n but_o they_o which_o succeed_v add_v two_o other_o and_o make_v 9_o climate_n the_o which_o number_n be_v express_v upon_o the_o meridian_n of_o the_o globe_n other_o make_v 19_o neglect_v the_o ordinary_a increase_n of_o half_a a_o hour_n in_o the_o long_a day_n and_o the_o place_n also_o where_o the_o ancient_a cosmographer_n begin_v their_o climate_n other_o make_v 23._o other_o 47._o p._n why_o do_v the_o ancient_a cosmographer_n begin_v 〈◊〉_d the_o 12._o degree_n 45._o minute_n of_o latitude_n &_o end_n at_o the_o 50._o d._n 30._o m._n m._n they_o think_v that_o that_o part_n of_o the_o earth_n between_o those_o two_o parallel_n to_o be_v habitable_a &_o therefore_o have_v only_a respect_n to_o they_o but_o the_o latter_a cosmographer_n know_v the_o earth_n to_o be_v more_o habitable_a ertend_v their_o climate_n over_o the_o whole_a surface_n thereof_o from_o the_o equator_fw-la to_o the_o pole_n p._n i_o think_v the_o climate_n on_o the_o meridian_n aâ—_n extend_v but_o towards_o one_o pole_n 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much_o for_o the_o form_n and_o figure_n of_o heaven_n p._n you_o say_v then_o that_o the_o heaven_n be_v most_o perfect_o round_o and_o not_o only_o that_o but_o you_o will_v have_v it_o also_o to_o be_v account_v a_o solid_a body_n by_o the_o word_n solid_a we_o common_o understand_v that_o body_n which_o be_v make_v of_o some_o massy_a matter_n be_v not_o hollow_a within_o but_o whole_a and_o entire_a through_o out_o must_v i_o conceive_v the_o heaven_n to_o be_v so_o m._n common_a sense_n deni_v that_o conceit_n for_o you_o see_v the_o earth_n the_o water_n and_o whatsoever_o element_n else_o or_o elementate_n thing_n there_o be_v to_o be_v contain_v within_o the_o cope_n of_o heaven_n in_o so_o much_o that_o the_o matter_n of_o the_o heaven_n be_v not_o entire_a and_o solid_a through_o out_o but_o to_o the_o end_n you_o may_v understande_v this_o solidity_n aright_o harken_v i_o pray_v you_o unto_o my_o word_n and_o let_v the_o material_a globe_n alone_o for_o a_o while_n the_o 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clear_a and_o transparent_a have_v no_o one_o part_n thick_a than_o a_o other_o it_o make_v his_o proper_a and_o perfect_a revolution_n as_o ptolemy_n affirm_v in_o 36000._o as_o albategnius_n write_v in_o 23760_o as_o alphonsus_n gather_v in_o 49000._o year_n the_o which_o time_n be_v think_v to_o be_v plato_n his_o great_a year_n wherein_o he_o say_v â—ach_v thing_n shall_v return_v to_o the_o former_a estate_n of_o those_o sphere_n which_o be_v beautify_v with_o star_n some_o have_v but_o â—â—e_z star_n the_o other_o have_v many_o that_o which_o have_v many_o be_v â—he_n 8._o sphere_n otherwise_o call_v the_o firmament_n either_o because_o be_v the_o uttermost_a of_o all_o as_o antiquity_n judge_v it_o â—â—rmely_o keep_v in_o &_o incompass_v the_o rest_n or_o else_o because_o 〈◊〉_d comprehend_v those_o star_n who_o distance_n one_o from_o a_o â—ther_n be_v firm_a &_o fix_v and_o not_o uncertain_a as_o the_o other_o â—re_n and_o therefore_o also_o be_v call_v the_o sphere_n of_o 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from_o the_o south_n northward_o while_o the_o ship_n run_v from_o the_o north_n southwarde_o p._n which_o of_o all_o these_o 10._o sphere_n do_v the_o celestial_a globe_n represent_v m._n it_o represent_v especial_o the._n 10._o sphere_n p._n but_o you_o say_v before_o that_o the_o star_n be_v in_o the_o 8._o sphere_n which_o be_v the_o firmament_n m._n it_o be_v true_a but_o because_o the_o motion_n of_o the_o fix_a star_n follow_v the_o motion_n of_o the_o nine_o sphere_n from_o west_n to_o east_n be_v so_o slow_a and_o so_o little_a that_o in_o a_o man_n life_n time_n it_o can_v hardly_o be_v perceave_v therefore_o without_o any_o great_a inconvenience_n we_o may_v place_v the_o fix_a star_n in_o the_o â—â—â—face_n of_o the_o globe_n though_o it_o proper_o in_o respect_n of_o the_o â—â—â—cles_n represent_v the_o ten_o p._n why_o do_v you_o in_o the_o definition_n of_o the_o celestial_a â—â—obe_n put_v in_o these_o word_n contain_v in_o the_o convexitie_n m._n thereby_o be_v express_v a_o other_o difference_n between_o that_o which_o we_o behold_v in_o the_o heaven_n itself_o and_o on_o the_o celestial_a globe_n our_o eye_n not_o be_v within_o the_o globe_n behold_v every_o thing_n describe_v thereupon_o on_o the_o outside_n whereas_o notwithstanding_o we_o see_v the_o star_n on_o â—â—e_z innerside_n of_o heaven_n p._n why_o do_v you_o say_v certain_a circle_n be_v there_o any_o more_o to_o be_v understand_v in_o the_o heaven_n than_o be_v express_v in_o the_o globe_n m._n yea_o a_o great_a many_o the_o which_o i_o will_v both_o name_n and_o describe_v unto_o you_o as_o occasion_n serve_v but_o for_o so_o much_o as_o these_o on_o the_o globe_n be_v sufficient_a for_o a_o young_a beginner_n or_o a_o novice_n in_o astronomy_n
so_o that_o you_o can_v take_v thâ—_n space_n between_o the_o beginning_n of_o the_o degree_n &_o the_o pricâ—â—_n then_o take_v that_o space_n which_o be_v contain_v between_o thâ—_n prick_v and_o the_o latter_a end_n of_o the_o degree_n count_n that_o 60._o time_n in_o the_o equator_fw-la mark_v how_o many_o degree_n yoâ—_n do_v run_v over_o subducte_v the_o number_n of_o those_o degreâ—â—_n from_o 60._o the_o remainder_n show_v you_o how_o many_o minute_n be_v comprise_v in_o the_o small_a space_n aforesaid_a this_o also_o to_o be_v note_v that_o as_o you_o find_v out_o the_o minute_n so_o maâ—_n you_o find_v the_o seconde_n and_o three_o etc._n etc._n of_o a_o degree_n foâ—_n if_o the_o small_a space_n aforesaid_a be_v count_v 60._o time_n iâ—_n the_o equator_fw-la the_o foot_n of_o your_o compass_n do_v not_o light_v precise_o upon_o the_o end_n of_o some_o degree_n then_o take_v thâ—_n space_n between_o the_o last_o prick_v make_v with_o you_o compasseâ—_n and_o the_o beginning_n 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shall_v it_o stand_v m._n each_o man_n may_v follow_v his_o fancy_n yet_o for_o my_o seâ—â—_n i_o will_v have_v the_o box_n make_v so_o square_a as_o may_v be_v breadth_n answerable_a to_o the_o horizon_n of_o the_o globe_n the_o bottom_n of_o the_o box_n i_o will_v have_v the._n 32._o point_n the_o compass_n with_o certain_a subdivision_n as_o occasion_n shoâ—â—_n serve_v either_o more_o or_o lesser_a also_o i_o will_v have_v a_o liâ—â—_n draw_v according_a to_o the_o variation_n of_o the_o compass_n will_v not_o have_v it_o fasten_v to_o any_o certain_a place_n of_o tâ—â—_n globe_n but_o apply_v only_o to_o the_o southside_n of_o the_o gloâ—â—_n so_o close_o as_o may_v be_v unto_o the_o east_n or_o westside_n of_o the_o meridian_n as_o occasion_n require_v thus_o much_o for_o the_o
what_o day_n of_o the_o month_n it_o be_v 〈◊〉_d according_v to_o our_o account_n first_o seek_v in_o the_o say_a horizon_n 〈◊〉_d day_n opposite_a to_o that_o degree_n and_o if_o it_o be_v possible_a subâ—â—â—ct_v 10._o from_o the_o number_n the_o remainder_n give_v the_o day_n 〈◊〉_d the_o month_n according_a to_o our_o account_n as_o for_o exaumple_n if_o against_o the_o degree_n of_o the_o sun_n you_o find_v the_o 〈◊〉_d day_n of_o any_o month_n the_o day_n upon_o which_o the_o sun_n possess_v that_o degree_n according_a to_o our_o account_n be_v the_o 11._o 〈◊〉_d of_o the_o same_o month_n p._n but_o put_v case_n i_o can_v subduct_v ten_o from_o the_o â—â—â—mber_n of_o the_o day_n which_o stand_v against_o the_o degree_n â—â—â—gned_v m._n then_o add_v that_o number_n to_o the_o number_n of_o the_o â—â—â—es_n belong_v to_o the_o month_n next_o before_o it_o and_o subâ—â—ct_v 10._o from_o the_o total_a sum_n the_o remainder_n be_v the_o 〈◊〉_d of_o the_o month_n immediate_o go_v before_o according_a â—â—â—our_n account_n as_o for_o example_n the_o day_n answer_v to_o 〈◊〉_d degree_n of_o the_o sun_n in_o the_o horizon_n of_o the_o new_a stile_n â—â—â—he_v sixth_o of_o august_n forsomuch_o as_o i_o can_v subduct_v 10._o â—â—â—m_v this_o number_n therefore_o i_o add_v it_o unto_o the_o 31._o day_n 〈◊〉_d julie_n the_o total_a sum_n be_v 37._o from_o whence_o i_o take_v 10._o 〈◊〉_d remainder_n be_v the_o 27._o of_o julie_n upon_o which_o day_n the_o â—â—â—ne_n possess_v the_o same_o degree_n namely_o the_o 13._o d._n 5._o m._n 〈◊〉_d ♌_o which_o he_o possess_v the_o sixth_o of_o august_n according_a 〈◊〉_d he_o new_a account_n this_o that_o i_o have_v say_v touch_v the_o 〈◊〉_d roman_a calendar_n may_v be_v say_v of_o the_o other_o next_o â—â—â—oyning_v to_o it_o take_v the_o number_n 15._o for_o 10._o to_o conâ—â—â—de_v this_o be_v a_o general_a rule_n for_o you_o to_o note_v that_o what_o â—â—gree_n soever_o in_o the_o horizon_n you_o find_v the_o sun_n to_o possess_v the_o same_o degree_n must_v be_v seek_v out_o in_o the_o enigmatic_a the_o which_o degree_n we_o call_v many_o time_n simple_o the_o sun_n sometime_o we_o call_v it_o the_o place_n of_o the_o sunnâ—_n and_o therefore_o whensoever_o we_o say_v bring_v the_o sunneâ—_n the_o meridian_n or_o bring_v the_o place_n of_o the_o sun_n to_o 〈◊〉_d meridian_n etc._n etc._n our_o meaning_n be_v that_o you_o shall_v briâ—â—_n the_o degree_n of_o the_o ecliptic_n which_o the_o sun_n possess_v to_o the_o meridian_n or_o to_o the_o horizon_n p._n do_v these_o degree_n of_o the_o sign_n continual_o answer_v to_o the_o same_o day_n of_o the_o month_n m._n no_o but_o they_o may_v serve_v the_o turn_n 24._o year_n 〈◊〉_d 30._o without_o great_a inconvenience_n that_o they_o do_v 〈◊〉_d keep_v the_o same_o day_n of_o the_o month_n you_o may_v seeâ—_n the_o entrance_n of_o the_o sun_n into_o the_o equinoctial_a poinâ—_n and_o into_o the_o solstitial_a point_n for_o the_o vernal_a eqâ—noctiall_a at_o the_o incarnation_n of_o christ_n be_v the_o 25._o 〈◊〉_d march_n and_o the_o summer_n solstice_n be_v the_o 24._o of_o juâ—â—â—_n the_o nicene_n council_n find_v the_o vernal_a equinoctial_a 〈◊〉_d be_v the_o 21._o of_o march_n and_o now_o it_o be_v the_o eleven_o of_o 〈◊〉_d say_v month_n the_o reason_n of_o this_o difference_n be_v in_o 〈◊〉_d julius_n caesar_n almanac_n which_o we_o follow_v presuppâ—seth_v the_o year_n to_o be_v 365._o day_n and_o 6._o hour_n which_o â—â—ing_n great_a than_o the_o year_n of_o the_o sun_n it_o commâ—â—_n hereby_o to_o pass_v that_o the_o solare_fw-la year_n prevent_v 〈◊〉_d year_n of_o julius_n caesar_n and_o draw_v by_o little_a and_o 〈◊〉_d near_o unto_o the_o first_o day_n of_o the_o month_n so_o that_o in_o 〈◊〉_d to_o come_v the_o entrance_n of_o the_o sun_n into_o the_o head_n of_o â—â—ries_n which_o be_v the_o equinoctial_a point_n will_v be_v the_o first_o 〈◊〉_d march_n if_o there_o be_v not_o a_o correction_n use_v in_o the_o othâ—â—_n space_n that_o follow_v be_v set_v the_o name_n of_o the_o windâ—â—_n which_o common_o we_o call_v the_o 32._o point_n of_o the_o compâ—â—_n both_o in_o english_a and_o latin_a to_o the_o intent_n that_o not_o only_a 〈◊〉_d learned_a but_o the_o ignorant_a also_o may_v have_v use_n of_o they_o 〈◊〉_d the_o latin_a name_n the_o author_n think_v good_a to_o follow_v 〈◊〉_d lemnius_n both_o in_o respect_n of_o the_o learning_n of_o the_o â—ame_n and_o also_o because_o the_o name_n which_o be_v use_v by_o â—hers_n savour_n rather_o of_o the_o italian_a speech_n than_o of_o the_o â—â—cient_a roman_a tongue_n the_o use_n of_o they_o be_v excellent_a as_o â—â—al_v be_v declare_v hereafter_o both_o for_o the_o place_n of_o the_o rise_n and_o set_v of_o the_o fix_a star_n and_o the_o sun_n and_o also_o for_o their_o coast_v round_o about_o the_o heaven_n p._n this_o be_v one_o thing_n that_o i_o will_v fain_o be_v resolve_v 〈◊〉_d why_o in_o say_v the_o compass_n as_o the_o mariner_n term_v 〈◊〉_d they_o begin_v at_o the_o north_n point_n and_o so_o go_v on_o from_o â—â—ence_n eastward_o be_v it_o not_o as_o good_a to_o begin_v at_o the_o â—â—ast_n where_o the_o sun_n always_o rise_v m._n in_o deed_n if_o the_o sun_n do_v always_o rise_v full_a east_n 〈◊〉_d be_v convenient_a the_o compass_n shall_v begin_v there_o â—ut_v they_o follow_v the_o sun_n and_o for_o so_o much_o as_o the_o utâ—rmost_a rise_n of_o the_o sun_n be_v at_o the_o north_n point_n of_o the_o â—â—orizon_n and_o beyond_o that_o he_o can_v rise_v as_o you_o shall_v see_v â—â—ereafter_o therefore_o they_o begin_v there_o thus_o much_o conâ—â—erning_v those_o thing_n which_o be_v describe_v upon_o the_o horizon_n of_o the_o globe_n whereof_o the_o point_n of_o the_o compass_n â—ust_z be_v understand_v in_o the_o horizon_n of_o heaven_n and_o beâ—â—des_v they_o certain_a degree_n for_o the_o quarter_n from_o the_o east_n to_o the_o south_n from_o the_o west_n to_o the_o south_n also_o from_o the_o east_n to_o the_o north_n and_o from_o the_o west_n to_o the_o north_n be_v to_o be_v unâ—â—â—ood_a to_o be_v divide_v into_o 90._o degree_n the_o number_n of_o which_o â—â—egrees_n be_v not_o usual_o express_v because_o the_o degree_n of_o â—â—e_z sign_n next_o unto_o the_o globe_n may_v easy_o supply_v they_o the_o reason_n why_o each_o quarter_n must_v be_v understand_v to_o be_v â—â—us_o divide_v be_v the_o difference_n which_o be_v between_o the_o learned_a &_o the_o common_a mariner_n the_o common_a mariner_n see_v a_o star_n or_o the_o sun_n to_o rise_v and_o set_v usual_o name_v the_o point_n â—f_o the_o compass_n upon_o the_o which_o it_o appear_v as_o that_o it_o rise_v east_n northeast_n or_o east_n and_o by_o south_n the_o lâ—â—ned_a astronomer_n he_o count_v how_o many_o degree_n thâ—_n rise_v from_o the_o east_n and_o how_o many_o degree_n they_o set_v froâ—_n the_o west_n as_o that_o the_o sun_n rise_v 22._o degree_n 30._o minâ—â—_n the_o northward_o or_o 11._o degree_n ¼_n to_o the_o south_n waâ—â—_n therefore_o that_o you_o may_v quick_o understand_v they_o both_o 〈◊〉_d you_o must_v accustom_v yourself_o to_o turn_v the_o degree_n 〈◊〉_d each_o quarter_n into_o the_o point_n of_o the_o compass_n and_o contrary_a wise_a the_o point_n of_o the_o compass_n into_o degree_n 〈◊〉_d this_o manner_n the_o whole_a circle_n be_v divide_v into_o 360._o degree_n therefore_o the_o 32_o point_n of_o the_o compass_n and_o 〈◊〉_d 360._o degree_n be_v equal_a the_o quarter_n of_o the_o circle_n contâ—neth_v 90._o degree_n and_o 8._o point_n of_o the_o compass_n euâ—â—_n point_n of_o the_o compass_n therefore_o contain_v 11_o degrâ—â—_n two_o point_n contain_v 22._o degr_n ½_n three_o point_n contaâ—â—_n 33._o degree_n ¾_n four_o point_n contain_v 45._o degree_n nâ—â—_n demand_v what_o you_o think_v good_a concern_v the_o horizon_n as_o it_o be_v to_o be_v conceive_v in_o the_o heaven_n p._n i_o have_v diverse_a thing_n to_o ask_v concern_v 〈◊〉_d circle_n i_o will_v fetch_v they_o out_o of_o the_o definition_n which_o 〈◊〉_d this_o the_o horizon_n be_v a_o great_a fix_a circle_n of_o the_o gloâ—â—_n divide_v that_o part_n of_o the_o heaven_n which_o be_v see_v fâ—â—â—â—_n that_o part_n of_o the_o heaven_n which_o be_v not_o see_v first_o tell_v 〈◊〉_d what_o be_v the_o reason_n of_o the_o name_n m._n you_o observe_v this_o that_o when_o you_o stand_v 〈◊〉_d plain_a champion_n country_n where_o there_o be_v nothing_o 〈◊〉_d hinder_v your_o sight_n that_o round_o about_o you_o there_o seemeâ—â—_n circle_n to_o be_v describe_v which_o be_v a_o representation_n of_o 〈◊〉_d circle_n whereof_o we_o speak_v beyond_o this_o circle_n youâ—_n 〈◊〉_d nothing_o neither_o do_v your_o sight_n pass_v it_o but_o endâ—â—_n there_o whereupon_o the_o grecian_n have_v call_v it_o the_o horizon_n of_o the_o word_n 〈◊〉_d 〈◊〉_d 〈◊〉_d 〈◊〉_d 〈◊〉_d which_o be_v finio_fw-la
we_o may_v find_v his_o place_n the_o â—â—dex_n be_v rectify_v p._n that_o may_v be_v easy_o do_v by_o the_o height_n of_o the_o â—â—nne_n at_o twelve_o a_o clock_n have_v consideration_n of_o the_o â—ason_n of_o the_o year_n because_o in_o each_o quarter_n of_o the_o eclipâ—cke_a each_o several_a degree_n have_v a_o certain_a altitude_n in_o the_o meridian_n but_o how_o it_o shall_v be_v do_v at_o any_o other_o hour_n â—ther_o before_o or_o after_o noon_n i_o do_v not_o see_v m._n you_o must_v suppose_v that_o when_o your_o index_n be_v rectify_v you_o do_v then_o know_v the_o place_n of_o the_o sun_n â—ut_fw-la when_o you_o go_v about_o to_o take_v his_o height_n you_o forget_v 〈◊〉_d if_o therefore_o you_o desire_v to_o know_v it_o again_o turn_v the_o â—obe_n to_o and_o fro_o until_o you_o bring_v the_o index_n to_o the_o hour_n assign_v fix_v the_o globe_n and_o apply_v the_o quadrant_a of_o altitude_n to_o the_o ecliptic_n that_o degree_n of_o the_o ecliptic_n which_o â—nder_v the_o quadrant_a of_o altitude_n answer_v to_o the_o height_n of_o the_o sun_n know_v be_v the_o place_n of_o the_o sun_n which_o be_v find_v we_o may_v proceed_v by_o a_o necessary_a consequence_n to_o all_o the_o former_a conclusion_n whatsoever_o as_o to_o the_o point_n of_o the_o compass_n upon_o which_o he_o shine_v to_o his_o distance_n from_o the_o east_n west_n north_n oâ—_n south_n etc._n etc._n p._n then_o if_o i_o perfect_o know_v the_o distance_n of_o the_o sun_n from_o the_o easte_n or_o west_n together_o with_o hiâ—_n height_n i_o may_v find_v his_o place_n in_o any_o elevation_n of_o the_o pole_n m._n you_o may_v have_v consideration_n of_o the_o time_n of_o the_o year_n which_o be_v always_o requisite_a in_o these_o proposition_n which_o lead_v we_o to_o the_o place_n of_o the_o sun_n for_o if_o you_o set_v the_o quadrant_n of_o altitude_n to_o the_o point_n of_o the_o compass_n upon_o which_o the_o sun_n be_v say_v to_o shine_v or_o upon_o that_o distance_n from_o the_o true_a easte_n or_o west_n which_o the_o sun_n be_v say_v to_o have_v and_o turn_v that_o quarter_n of_o the_o ecliptic_n which_o the_o time_n of_o the_o year_n require_v unto_o the_o quadrant_a of_o altitude_n that_o degree_n which_o under_o the_o quadrant_n answer_v to_o the_o suppose_a height_n of_o the_o sun_n be_v the_o degree_n which_o the_o sun_n possess_v contrariwise_o we_o may_v by_o the_o place_n of_o the_o sun_n and_o the_o point_n of_o the_o compass_n upon_o which_o he_o shine_v find_v the_o height_n of_o the_o sun_n p._n i_o think_v that_o that_o be_v easy_a for_o if_o i_o set_v the_o quadrant_n of_o altitude_n against_o the_o point_n of_o the_o compass_n assign_v and_o bring_v the_o place_n of_o the_o sun_n unto_o it_o the_o degree_n of_o the_o quadrant_n contain_v between_o the_o place_n of_o the_o sun_n and_o the_o horrizon_n express_v his_o height_n m._n you_o say_v true_a this_o proposition_n also_o be_v perform_v with_o the_o same_o facility_n the_o point_n of_o the_o compass_n be_v give_v and_o the_o place_n of_o the_o sun_n to_o find_v â—â—e_z hour_n of_o the_o day_n in_o this_o manner_n rectify_v your_o index_n set_v the_o quadrant_n of_o altitude_n upon_o the_o point_n â—f_o the_o compass_n assign_v then_o bring_v the_o place_n of_o the_o â—unne_n to_o the_o edge_n of_o the_o quadrant_n so_o shall_v the_o index_n express_v the_o hour_n this_o also_o be_v another_o consequent_a the_o point_n of_o the_o compass_n be_v give_v and_o the_o height_n of_o the_o sun_n to_o â—nder_v the_o time_n of_o the_o rise_n or_o set_v you_o know_v that_o â—â—e_z point_n of_o the_o compass_n and_o the_o height_n of_o the_o sun_n â—ust_z necessary_o lead_v we_o to_o his_o place_n have_v find_v his_o â—lace_n rectify_v the_o index_n then_o bring_v the_o place_n of_o the_o sun_n 〈◊〉_d the_o east_n side_n of_o the_o horizon_n so_o will_v the_o index_n point_v â—ut_v the_o time_n of_o his_o rise_n again_o turn_v the_o place_n of_o the_o â—unne_n to_o the_o west_n side_n of_o the_o horizon_n and_o the_o index_n â—ill_v express_v the_o time_n of_o his_o set_n p._n i_o find_v it_o now_o true_a which_o you_o say_v before_o nameâ—_n that_o the_o supposition_n of_o some_o certain_a thing_n bring_v 〈◊〉_d the_o consequence_n of_o all_o the_o other_o for_o i_o think_v â—â—at_a i_o myself_o know_v the_o point_n of_o the_o compass_n and_o â—â—e_v height_n of_o the_o sun_n can_v easy_o infer_v by_o your_o example_n the_o declination_n the_o right_a and_o crooked_a ascenâ—on_n of_o the_o sun_n the_o length_n of_o the_o day_n or_o night_n the_o meridian_n altitude_n and_o whatsoever_o have_v be_v spoâ—en_o of_o before_o for_o the_o height_n of_o the_o sun_n and_o the_o point_n â—f_o the_o compass_n upon_o which_o he_o shine_v lead_v i_o to_o â—e_v place_n of_o the_o sun_n the_o place_n of_o the_o sun_n be_v bring_v 〈◊〉_d the_o meridian_n geve_v his_o declination_n &_o also_o his_o right_a â—cension_n and_o his_o meridian_n altitude_n likewise_o the_o same_o â—ace_n be_v bring_v to_o the_o horizon_n afford_v his_o crooâ—ed_a ascension_n then_o keep_v the_o place_n of_o the_o sun_n at_o the_o horizon_n if_o i_o set_v the_o index_n upon_o 12.2_o clock_n and_o turn_v the_o globe_n about_o to_o the_o west_n i_o can_v but_o find_v the_o length_n of_o the_o day_n etc._n etc._n let_v we_o now_o proccede_v m._n hitherto_o you_o have_v hear_v those_o conclusion_n which_o may_v be_v infer_v by_o the_o globe_n the_o sun_n or_o star_n be_v suppose_v to_o be_v either_o in_o the_o horizon_n or_o about_o it_o there_o be_v some_o which_o belong_v to_o the_o sun_n or_o star_n be_v under_o the_o horizon_n among_o the_o which_o 3_o or_o 4._o only_a be_v usual_o seek_v after_o the_o other_o either_o because_o they_o be_v not_o great_o profitable_a or_o because_o they_o be_v easy_o perform_v by_o that_o which_o have_v be_v deliver_v heretofore_o be_v neglect_v the_o first_o of_o they_o be_v to_o find_v the_o depression_n of_o the_o sun_n at_o any_o hour_n assign_v but_o especial_o at_o midnight_n p._n what_o mean_v the_o depression_n of_o the_o sun_n m._n the_o depression_n be_v opposite_a unto_o the_o altitude_n and_o it_o be_v the_o distance_n of_o the_o sun_n from_o the_o horizon_n downward_o it_o be_v find_v thus_o seek_v out_o the_o degree_n of_o the_o ecliptic_n opposite_a unto_o that_o degree_n which_o the_o sun_n possess_v bring_v it_o to_o the_o south_n side_n of_o the_o meridian_n above_o the_o horizon_n the_o degree_n of_o the_o meridian_n between_o it_o and_o the_o horizon_n express_v the_o depression_n of_o the_o sun_n at_o midnight_n whereby_o be_v gather_v how_o he_o be_v unto_o they_o which_o be_v our_o antipode_n p._n but_o put_v case_n i_o will_v know_v the_o depression_n of_o the_o sun_n at_o any_o other_o hour_n how_o shall_v i_o find_v it_o m._n bring_v the_o opposite_a degree_n unto_o the_o meridian_n rectify_v the_o index_n turn_v the_o globe_n about_o until_o the_o index_n fall_v upon_o the_o same_o hour_n fasten_v the_o globe_n &_o then_o bring_v the_o quadrant_a of_o altitude_n over_o the_o say_a degree_n the_o portion_n of_o the_o quadrant_a between_o it_o and_o the_o horizon_n express_v the_o depression_n of_o the_o sun_n at_o the_o hour_n assign_v the_o second_o concern_v the_o dawn_n of_o the_o day_n that_o be_v â—ound_v in_o this_o manner_n bring_v the_o degree_n of_o the_o sun_n â—o_o the_o meridian_n rectify_v your_o index_n then_o seek_v out_o the_o degree_n of_o the_o ecliptic_n opposite_a to_o the_o degree_n which_o the_o sun_n possess_v move_v it_o towards_o the_o west_n side_n of_o she_o horizon_n and_o by_o the_o help_n of_o the_o quadrant_a of_o altitude_n â—et_v it_o 18._o degree_n above_o he_o horizon_n the_o hour_n upon_o which_o the_o index_n fall_v express_v the_o dawn_n of_o the_o â—ay_n p._n i_o pray_v you_o tell_v three_fw-mi this_o what_o be_v the_o reason_n why_o â—ou_v bring_v the_o opposite_a degree_n to_o the_o west_n side_n of_o the_o horizon_n m._n as_o before_o in_o seek_v the_o depression_n of_o the_o sun_n â—he_v opposite_a degree_n be_v bring_v to_o the_o south_n side_n of_o â—he_n meridian_n declare_v how_o low_o the_o degree_n of_o the_o sun_n â—as_v under_o the_o horizon_n in_o the_o north_n side_n even_o so_o here_o â—he_v place_v of_o the_o opposite_a degree_n 18._o degree_n above_o the_o horizon_n in_o the_o west_n cause_v the_o true_a place_n of_o the_o sun_n â—o_o be_v 18._o degree_n under_o the_o horizon_n in_o the_o east_n at_o which_o distance_n the_o dawn_n do_v begin_v p._n what_o if_o the_o opposite_a degree_n can_v have_v 18._o degree_n of_o elevation_n but_o fall_v underneath_o it_o m._n then_o must_v you_o conclude_v that_o the_o twilighte_n continu_v from_o the_o set_n
difference_n of_o longitude_n otherwise_o if_o you_o be_v not_o skilful_a in_o arithmetic_n the_o place_n which_o have_v the_o lesser_a longitude_n be_v as_o i_o tell_v you_o bring_v unto_o the_o meridian_n the_o degree_n of_o the_o equator_fw-la contain_v between_o it_o &c_n &c_n the_o longitude_n of_o the_o other_o place_n afford_v the_o difference_n of_o longitude_n p._n the_o difference_n of_o longitude_n be_v know_v what_o may_v i_o infer_v thereon_o m._n first_o you_o may_v infer_v your_o course_n from_o the_o one_o place_n to_o the_o other_o can_v never_o be_v north_n &_o south_n but_o upon_o some_o other_o point_n of_o the_o compass_n second_o they_o never_o have_v the_o same_o hour_n of_o the_o day_n or_o night_n for_o if_o it_o be_v noon_n or_o midnight_n to_o the_o one_o it_o be_v past_a or_o before_o noon_n or_o midnight_n unto_o the_o other_o yet_o in_o the_o opposite_a hour_n they_o may_v agree_v as_o if_o it_o be_v 6._o in_o the_o morning_n it_o may_v be_v 6._o at_o night_n to_o the_o other_o if_o it_o be_v noon_n to_o the_o one_o it_o may_v be_v midnight_n to_o the_o other_o the_o difference_n of_o longitude_n be_v just_a 180._o degree_n p._n if_o they_o that_o differ_v in_o longitude_n do_v thus_o differ_v in_o their_o hour_n how_o shall_v i_o know_v by_o the_o globe_n compare_v two_o place_n together_o which_o of_o they_o prevent_v one_o the_o other_o m._n bring_v either_o of_o the_o two_o place_n unto_o the_o meridian_n if_o the_o other_o be_v to_o the_o eastwaad_n thereof_o i_o say_v that_o that_o place_n which_o be_v under_o the_o meridian_n be_v prevent_v in_o the_o time_n as_o if_o the_o question_n be_v between_o london_n and_o rome_n london_n be_v bring_v to_o the_o meridian_n rome_n be_v find_v on_o the_o east_n side_n thereof_o therefore_o i_o say_v that_o london_n be_v prevent_v in_o the_o time_n and_o that_o at_o rome_n it_o will_v be_v 6._o 7._o or_o 8._o a_o clock_n in_o the_o morning_n etc._n etc._n before_o it_o be_v the_o same_o hour_n at_o london_n contrariwise_o if_o one_o of_o the_o 2._o place_n be_v bring_v to_o the_o meridian_n the_o other_o be_v find_v on_o the_o west_n side_n thereof_o then_o do_v the_o place_n under_o the_o meridian_n prevent_v the_o other_o as_o for_o example_n london_n &_o mexico_n be_v compare_v together_o london_n be_v place_v under_o the_o meridian_n mexico_n be_v on_o the_o west_n side_n thereof_o therefore_o london_n prevent_v mexico_n whereby_o i_o may_v conclude_v that_o it_o be_v 6._o a_o clock_n in_o the_o morning_n at_o london_n before_o it_o be_v 6._o a_o clock_n at_o mexico_n etc._n etc._n p._n you_o have_v teach_v i_o to_o know_v which_o place_n prevent_v the_o other_o tell_v i_o now_o how_o long_o the_o time_n be_v wherein_o the_o one_o place_n prevent_v the_o other_o m._n if_o you_o convert_v the_o difference_n of_o longitude_n into_o hour_n &_o part_n of_o hour_n as_o be_v convenient_a you_o shall_v easy_o find_v out_o what_o the_o time_n be_v wherein_o the_o one_o place_n prevent_v the_o other_o otherwise_o you_o may_v do_v it_o thus_o bring_v the_o westermost_a of_o the_o two_o place_n assign_v unto_o the_o meridian_n set_v the_o index_n of_o the_o hour_n circle_n upon_o 12._o a_o clock_n turn_v the_o globe_n westward_o until_o the_o other_o city_n come_v to_o the_o meridian_n the_o index_n express_v how_o long_o the_o time_n be_v wherein_o the_o westermost_a of_o the_o two_o place_n be_v prevent_v as_o for_o example_n if_o the_o index_n light_n upon_o the_o three_o hour_n then_o do_v it_o signify_v that_o it_o be_v but_o 9_o a_o clock_n at_o the_o westermost_a place_n when_o it_o be_v 12._o a_o clock_n at_o the_o other_o etc._n etc._n and_o what_o eclipse_n or_o other_o celestial_a appearance_n the_o westermost_a place_n see_v at_o 12._o a_o clock_n the_o other_o see_v it_o at_o 3._o a_o clock_n after_o noon_n etc._n etc._n p._n what_o have_v you_o else_o to_o say_v of_o the_o equinoctial_a circle_n m._n it_o be_v the_o begin_n of_o latitude_n p._n let_v i_o thorough_o confer_v with_o you_o about_o this_o matter_n how_o do_v you_o define_v latitude_n in_o resspect_n of_o the_o terrestrial_a globe_n m._n it_o be_v the_o distance_n of_o any_o point_n assign_v in_o the_o terrestrial_a globe_n from_o the_o equator_fw-la limit_v by_o the_o degree_n of_o a_o great_a circle_n draw_v from_o the_o pole_n of_o the_o world_n through_o the_o point_n assign_v p._n then_o by_o your_o word_n i_o gather_v this_o that_o for_o so_o much_o as_o the_o begin_n of_o latitude_n be_v in_o the_o equinoctial_a what_o so_o ever_o be_v under_o that_o circle_n can_v have_v no_o latitude_n also_o the_o latitude_n may_v be_v count_v towards_o either_o of_o the_o pole_n so_o that_o it_o be_v either_o northern_a or_o southern_a according_a as_o the_o pole_n be_v towards_o which_o the_o place_n bend_v from_o the_o equator_fw-la but_o when_o you_o say_v that_o the_o latitude_n must_v be_v account_v from_o the_o equinoctial_a to_o the_o place_n do_v you_o not_o mean_v the_o zenith_n m._n yes_o you_o must_v always_o so_o understand_v it_o for_o albeit_o the_o word_n latitude_n be_v apply_v to_o the_o terrestrial_a globe_n yet_o be_v it_o seek_v out_o by_o the_o circle_n of_o heaven_n and_o common_o be_v demand_v what_o the_o latitude_n be_v we_o answer_v that_o it_o be_v the_o distance_n of_o our_o zenith_n from_o the_o equator_fw-la notwithstanding_o it_o be_v sufficient_a speak_v of_o the_o terrestrial_a globe_n to_o say_v that_o the_o latitude_n be_v to_o be_v account_v from_o the_o equator_fw-la to_o the_o place_n assign_v p._n what_o great_a circle_n be_v it_o in_o which_o the_o latitude_n must_v be_v account_v m._n it_o be_v that_o great_a circle_n of_o longitude_n which_o be_v draw_v from_o the_o pole_n of_o the_o world_n through_o the_o place_n assign_v but_o because_o it_o be_v a_o infinite_a work_n to_o draw_v a_o great_a circle_n through_o every_o place_n therefore_o in_o seek_v out_o the_o latitude_n we_o make_v the_o meridian_n of_o the_o globe_n to_o serve_v our_o turn_n in_o this_o manner_n bring_v the_o place_n assign_v to_o the_o meridian_n of_o the_o globe_n the_o degree_n of_o the_o meridian_n intercept_v between_o the_o equator_fw-la &_o the_o place_n assign_v express_v the_o latitude_n of_o it_o so_o i_o say_v that_o the_o latitude_n of_o london_n be_v 51._o degree_n 30._o min._n because_o london_n be_v bring_v unto_o the_o meridian_n fall_v underneath_o that_o degree_n and_o minute_n and_o be_v so_o far_o distant_a from_o the_o equator_fw-la 7._o be_v the_o latitude_n of_o london_n 51._o degree_n 30._o min_fw-mi i_o take_v that_o to_o be_v the_o elevation_n of_o the_o pole_n at_o london_n m._n so_o it_o be_v also_o for_o the_o elevation_n of_o the_o pole_n and_o latitude_n be_v all_o one_o in_o number_n for_o this_o be_v usual_o to_o be_v see_v upon_o the_o globe_n that_o so_o far_o as_o any_o place_n be_v distant_a from_o the_o equator_fw-la so_o high_a be_v the_o pole_n from_o the_o horizon_n therefore_o when_o you_o desire_v to_o raise_v the_o pole_n of_o your_o globe_n unto_o his_o due_a height_n seek_v out_o the_o latitude_n of_o the_o place_n assign_v according_a to_o that_o raise_v the_o pole_n above_o the_o horizon_n p._n the_o great_a longitude_n be_v 360._o degree_n what_o may_v be_v the_o great_a latitude_n m._n nothing_o can_v be_v further_a distant_a from_o any_o circle_n then_o the_o pole_n which_o be_v but_o 90._o degree_n so_o that_o the_o great_a latitude_n be_v no_o more_o p._n be_v the_o circle_n of_o latitude_n express_v on_o the_o globe_n m._n yea_o as_o many_o circle_n as_o be_v parallel_v to_o the_o equator_fw-la may_v right_o be_v call_v circle_n of_o latitude_n albeit_o some_o of_o they_o admit_v particular_a name_n p._n thereupon_o i_o think_v it_o come_v to_o pass_v that_o we_o confound_v those_o phrase_n of_o speech_n to_o have_v the_o same_o laâ—itude_n and_o to_o be_v in_o the_o same_o parallel_n m._n you_o say_v right_a for_o a_o place_n to_o be_v in_o the_o same_o parallel_n with_o london_n be_v nothing_o else_o but_o to_o be_v in_o the_o same_o latitude_n &_o to_o be_v of_o equal_a distance_n with_o it_o from_o the_o equator_fw-la p._n you_o say_v before_o that_o if_o i_o see_v any_o place_n what_o soever_o upon_o the_o globe_n bring_v it_o unto_o the_o meridian_n i_o shall_v find_v the_o latitude_n thereof_o contrariwise_o therefore_o if_o i_o know_v the_o latitude_n of_o a_o place_n and_o seek_v it_o out_o in_o the_o meridian_n either_o towards_o the_o north_n or_o south_n pole_n according_a as_o the_o situation_n of_o the_o place_n require_v i_o shall_v be_v sure_a to_o find_v out_o the_o place_n in_o the_o revolution_n of_o the_o globe_n if_o it_o be_v inscribe_v in_o the_o globe_n
which_o the_o sun_n do_v possess_v or_o upon_o any_o place_n of_o the_o globe_n have_v a_o latitude_n answerable_a to_o the_o declination_n of_o that_o degree_n which_o the_o sun_n do_v possess_v then_o turn_v the_o globe_n towards_o the_o sun_n &_o the_o gnomon_n be_v right_o against_o he_o will_v cast_v no_o shadow_n or_o otherwise_o bring_v the_o gnomon_n close_o to_o the_o meridian_n and_o there_o set_v it_o fast_o until_o noon_n for_o then_o the_o sun_n will_v fall_v so_o just_a upon_o the_o point_n of_o the_o gnomon_n that_o it_o will_v yield_v no_o shadow_n p._n what_o be_v they_o who_o you_o call_v amphiscij_fw-la m._n they_o be_v such_o as_o have_v a_o shadow_n fall_v two_o several_a way_n one_o while_o to_o the_o northward_o and_o another_o while_n to_o the_o southward_n these_o dwell_v within_o the_o two_o tropicke_n as_o you_o may_v perceive_v by_o the_o terrestrial_a globe_n this_o you_o know_v stand_v with_o reason_n &_o common_a sense_n prove_v it_o true_a that_o the_o shadow_n bend_v to_o the_o opposite_a place_n from_o the_o sun_n as_o if_o the_o sun_n be_v south_n wear_v the_o shadow_n run_v northward_o whereupon_o this_o must_v needs_o follow_v that_o for_o so_o much_o as_o they_o which_o dwell_v within_o the_o tropick_n have_v the_o sun_n sometime_o to_o the_o northward_a of_o their_o zenith_n as_o those_o in_o the_o island_n of_o s._n thomas_n &_o sometime_o to_o the_o southward_n they_o must_v of_o necessity_n have_v the_o shadow_n bend_v to_o the_o same_o place_n as_o when_o the_o sun_n be_v in_o the_o north_n sign_n the_o shadow_n of_o any_o thing_n stand_v upright_o upon_o the_o horizon_n must_v at_o noon_n run_v southward_o when_o he_o be_v in_o the_o south_n sign_n the_o shadow_n will_v bend_v northward_o you_o may_v try_v if_o you_o will_v abide_v the_o trial_n of_o it_o by_o the_o spherical_a gnomon_n rectify_v your_o globe_n place_v the_o gnomon_n upon_o the_o island_n of_o s._n thomas_n or_o upon_o any_o degree_n of_o the_o equator_fw-la or_o any_o other_o degree_n of_o the_o ecliptic_n bring_v the_o guomon_a to_o the_o meridian_n when_o the_o sun_n approach_v near_o unto_o that_o degree_n &_o mark_v which_o way_n the_o shadow_n fall_v &_o after_o the_o sun_n be_v pass_v that_o degree_n either_o ascend_a or_o descend_v do_v the_o like_a again_o and_o you_o shall_v find_v the_o shadow_n of_o the_o gnomon_n to_o fall_v towards_o a_o contrary_a place_n to_o that_o towards_o which_o it_o fall_v before_o the_o hetroscij_fw-la be_v those_o who_o noonstid_v shadow_n fall_v but_o one_o way_n only_o such_o be_v all_o they_o that_o dwell_v between_o the_o tropicke_n &_o the_o circle_n arctic_a or_o antarcticke_a they_o that_o dwell_v between_o the_o tropic_n of_o cancer_n &_o the_o circle_n arctic_a never_o see_v their_o noonstid_v shadow_n bend_v but_o to_o the_o northward_a because_o the_o sun_n be_v always_o south_n unto_o they_o contrariwise_o they_o which_o dwell_v to_o the_o south_n between_o the_o tropic_n of_o capricorn_n &_o the_o circle_n antarctick_n never_o see_v the_o noonstid_v shadow_n but_o bend_v southward_o you_o may_v try_v this_o also_o by_o the_o globe_n for_o the_o globe_n be_v rectify_v &_o the_o gnomon_n apply_v to_o any_o place_n between_o the_o foresay_a circle_n and_o then_o bring_v unto_o the_o meridian_n &_o there_o set_v fast_o you_o shall_v not_o at_o any_o time_n find_v the_o sun_n to_o cast_v the_o shadow_n any_o way_n but_o one_o the_o last_o of_o these_o be_v the_o periscii_n who_o shadow_n run_v round_o about_o they_o to_o every_o point_n of_o their_o horizon_n in_o one_o and_o the_o same_o day_n wherein_o they_o differ_v from_o the_o amphiscii_n for_o albeit_o their_o shadow_n be_v also_o unto_o all_o part_n of_o their_o horizon_n yet_o upon_o one_o and_o the_o same_o day_n it_o tend_v but_o towards_o one_o half_a of_o the_o horizon_n that_o be_v either_o to_o the_o northward_o or_o to_o the_o southward_n but_o the_o periscii_n have_v their_o shadow_n go_v round_o about_o in_o one_o day_n such_o be_v they_o that_o dwell_v within_o or_o under_o the_o circle_n arctic_a or_o antarcticke_a the_o reason_n whereof_o be_v the_o long_a continuance_n of_o the_o sun_n above_o the_o horizon_n who_o never_o set_v sometime_o until_o he_o have_v compass_v the_o horizon_n round_o about_o now_o let_v we_o come_v unto_o the_o horizon_n p._n be_v there_o nothing_o then_o to_o be_v say_v of_o the_o two_o colour_n m._n no_o for_o they_o have_v no_o use_n but_o this_o that_o the_o degree_n of_o longitude_n begin_v at_o that_o place_n where_o theequinoctiall_a colour_n and_o the_o head_n of_o aries_n concur_v in_o the_o equator_fw-la so_o that_o it_o may_v in_o that_o respect_n be_v count_v the_o first_o meridian_n or_o first_o circle_n of_o longitude_n p._n well_o then_o let_v we_o discourse_v of_o the_o horizon_n what_o use_n have_v it_o in_o the_o terrestrial_a globe_n m._n it_o sever_v the_o antipode_n one_o from_o another_o how_o soever_o the_o globe_n be_v situate_v and_o be_v common_a to_o they_o both_o and_o whereas_o in_o the_o celestial_a globe_n you_o be_v teach_v to_o find_v the_o length_n of_o the_o artificial_a day_n with_o the_o time_n of_o the_o sun_n rise_v and_o set_v upon_o the_o terrestrial_a globe_n you_o may_v ready_o see_v who_o they_o be_v that_o have_v the_o day_n of_o such_o a_o length_n and_o the_o sun_n rise_v and_o set_v at_o such_o a_o time_n p._n how_o be_v that_o to_o be_v find_v out_o i_o pray_v you_o rub_v my_o memory_n but_o with_o one_o example_n m._n the_o length_n of_o any_o day_n be_v propound_v seek_v which_o degree_n of_o the_o ecliptic_a the_o sun_n possess_v that_o present_a day_n as_o for_o example_n the_o day_n be_v 16._o hour_n long_o i_o suppose_v the_o sun_n to_o be_v in_o the_o head_n of_o cancer_n then_o in_o the_o first_o meridian_n or_o circle_n of_o longitude_n which_o be_v distinguish_v into_o degree_n count_v his_o declination_n and_o at_o the_o end_n thereof_o make_v a_o prick_n 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other_o than_o unto_o i_o i_o say_v i_o may_v know_v what_o people_n they_o be_v as_o for_o example_n if_o the_o sun_n in_o cancer_n rise_v unto_o i_o at_o 4._o a_o clock_n and_o to_o another_o at_o 3._o or_o 2._o a_o clock_n in_o the_o morning_n or_o to_o another_o at_o 5._o clock_n how_o far_o do_v they_o differ_v in_o latitude_n from_o i_o either_o to_o the_o northward_a or_o to_o the_o southwarde_o p._n i_o pray_v you_o tell_v i_o how_o this_o may_v be_v dispatch_v ready_o m._n the_o chief_a consideration_n which_o be_v to_o be_v have_v in_o this_o matter_n be_v in_o what_o half_a of_o the_o zodiac_n the_o sun_n be_v if_o the_o sun_n be_v in_o the_o northern_a sign_n they_o which_o have_v the_o long_a day_n have_v the_o pole_n