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instrument_n belong_v to_o the_o globe_n now_o you_o may_v take_v whâââ_n course_n you_o please_v for_o the_o circle_n and_o their_o use_n either_o siââplie_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 ãâã_d matter_n to_o be_v great_a and_o therefore_o i_o be_o willing_a to_o taââ_n the_o more_o pain_n i_o pray_v you_o give_v i_o leave_v to_o ask_v whâââ_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 poââ_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 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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 othââ_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 ãâã_d declination_n of_o the_o sun_n or_o of_o the_o sign_n it_o must_v be_v counâââ_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 ãâã_d quator_fw-la lie_v just_a in_o the_o midst_n between_o the_o two_o polââ_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 thinââth_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 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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 whââ_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 recouââ_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
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 ân_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 ãâã_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 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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 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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 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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 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the_o upper_a âost_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 ââto_o the_o equator_fw-la from_o the_o beginning_n of_o which_o space_n ââto_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 âhere_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 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they_o not_o also_o to_o be_v consider_v towards_o the_o other_o pole_n m._n yes_o in_o the_o self_n same_o distance_n from_o the_o equator_n but_o with_o contrary_a name_n p._n have_v each_o climate_n a_o several_a name_n m._n yea_o for_o they_o be_v denominate_v according_a to_o thâ_n name_n of_o certain_a notable_a place_n which_o be_v in_o the_o middeâ_n of_o they_o as_o appeareth_z in_o the_o table_n follow_v the_o cââmates_n to_o the_o southward_n be_v call_v by_o the_o same_o name_n the_o word_n anti_fw-la which_o signify_v against_o be_v put_v there_o unto_o as_o for_o example_n that_o which_o be_v the_o next_o beyond_o three_o equator_fw-la to_o the_o southward_n be_v call_v anti_fw-la dia_z meroes_n because_o it_o be_v as_o far_o beyond_o the_o equator_fw-la as_o that_o climate_n which_o pass_v through_o meroe_n be_v on_o this_o side_n thereof_o etc._n etc._n loe_o here_o be_v the_o table_n of_o the_o ancient_a cosmographer_n wherein_o be_v express_v the_o number_n of_o the_o climate_n with_o their_o limit_n etc._n etc._n as_o you_o see_v it_o set_v down_o in_o the_o front_n thereof_o g_o by_o this_o table_n as_o also_o by_o the_o globe_n you_o may_v gather_v philomathes_n the_o whole_a difference_n of_o time_n from_o the_o begin_n of_o the_o first_o climate_n to_o the_o last_o to_o be_v 4._o hour_n and_o a_o half_a but_o the_o diversity_n of_o the_o height_n of_o the_o pole_n be_v 42._o d._n 49._o m_o the_o breadth_n of_o they_o according_a to_o ptolemee_n be_v 2359._o mile_n â
_n but_o according_a to_o our_o account_n that_o ascribe_v to_o every_o degree_n of_o a_o great_a circle_n 60_o mile_n it_o amount_v unto_o 2569._o mile_n the_o other_o thing_n which_o may_v be_v say_v concern_v the_o climate_n as_o that_o the_o begin_n of_o the_o one_o climate_n be_v the_o end_n of_o the_o other_o and_o that_o the_o climate_n next_o unto_o the_o equator_fw-la be_v great_a than_o those_o which_o be_v further_a of_o etc._n etc._n i_o leave_v they_o to_o your_o own_o contemplation_n because_o you_o may_v gather_v they_o not_o only_o out_o of_o this_o table_n but_o also_o out_o of_o ehe_fw-ge globe_n itself_o yet_o this_o i_o must_v tell_v you_o that_o the_o cosmographer_n have_v divide_v each_o climate_n into_o two_o part_n whereof_o each_o part_n be_v call_v a_o parallel_n so_o that_o in_o this_o sense_n a_o parallel_n may_v be_v define_v brief_o to_o be_v the_o limit_n of_o half_a a_o climate_n or_o otherwise_o it_o be_v a_o portion_n of_o the_o terrestrial_a globe_n contain_v between_o two_o circle_n from_o the_o beginning_n whereof_o unto_o the_o end_n the_o long_a day_n admit_v the_o difference_n of_o a_o quarter_n of_o a_o hour_n but_o of_o this_o matter_n let_v this_o suffice_v let_v we_o now_o speak_v of_o the_o ecliptic_n p._n with_o a_o good_a will_n to_o what_o end_n serve_v that_o circle_n i_o think_v it_o shall_v be_v needle_n in_o this_o globe_n p._n no_o for_o hereby_o the_o terrestrial_a globe_n be_v not_o only_o make_v fit_a to_o serve_v for_o all_o those_o proposition_n which_o in_o the_o celestial_a globe_n be_v perform_v by_o know_v the_o place_n of_o the_o sun_n but_o hereby_o also_o we_o learn_v whether_o the_o sun_n pass_v by_o the_o zenith_n of_o any_o people_n yea_o or_o no_o &_o what_o people_n they_o be_v by_o who_o zenith_n he_o pass_v not_o and_o how_o many_o time_n he_o pass_v by_o they_o and_o how_o far_o he_o be_v distant_a from_o their_o zenith_n with_o other_o conclusion_n more_o whereof_o i_o will_v speak_v hereafter_o as_o they_o come_v to_o my_o memory_n p._n how_o shall_v i_o know_v whether_o the_o sun_n pass_v by_o the_o zenith_n of_o any_o place_n yea_o or_o no_o m._n you_o know_v that_o the_o ecliptic_a express_v the_o high_a way_n of_o the_o sun_n therefore_o as_o
neveâ_n change_v for_o than_o if_o the_o first_o day_n in_o the_o year_n be_v suâday_n the_o last_o day_n will_v be_v saturday_n and_o the_o first_o day_n ãâã_d the_o next_o year_n continual_o will_v be_v sunday_n again_o anâ_n a_o will_v still_o be_v the_o dominical_a letter_n but_o in_o respect_n ãâã_d the_o odd_a day_n it_o fall_v so_o out_o in_o every_o common_a year_n that_o the_o year_n begin_v and_o end_v with_o the_o same_o day_n as_o if_o the_o first_o of_o january_n be_v sunday_n the_o last_o of_o decembeâ_n that_o year_n be_v sunday_n also_o the_o first_o of_o the_o next_o year_n be_v monday_n the_o dominical_a letter_n must_v needs_o change_v and_o be_v a_o it_o become_v g_z thus_o much_o shall_v suffice_v for_o that_o matter_n p._n in_o that_o space_n where_o the_o number_n of_o the_o day_n be_v express_v i_o note_v certain_a letter_n to_o be_v write_v name_v k._n n._n and_o i._o to_o what_o use_n serve_v they_o m._n they_o signify_v the_o manner_n which_o the_o ancient_a ãâã_d mane_n observe_v in_o express_v the_o day_n of_o every_o groan_v they_o do_v not_o count_v their_o day_n from_o one_o to_o 30_o or_o 31._o as_o we_o do_v but_o they_o divide_v their_o month_n into_o three_o several_a part_n which_o be_v kalend_n nones_n and_o ides_n according_a as_o the_o three_o foresay_a letter_n do_v import_v the_o first_o day_n of_o every_o month_n be_v call_v the_o kalend_n and_o therefore_o the_o letter_n k._n be_v apply_v unto_o it_o throughout_o the_o horizon_n the_o other_o day_n of_o the_o kalend_n be_v they_o more_o or_o less_o do_v not_o succeed_v in_o the_o same_o month_n but_o do_v go_v before_o in_o the_o former_a month_n and_o be_v count_v backward_o as_o for_o example_n the_o kalend_n of_o januarie_n do_v not_o follow_v the_o first_o of_o januarie_n but_o go_v before_o in_o the_o month_n of_o december_n in_o this_o manner_n the_o last_o of_o december_n which_o be_v the_o 31._o day_n they_o call_v the_o day_n before_o the_o kalend_n the_o 30._o 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januarie_n so_o that_o the_o roman_n account_n be_v contrary_a to_o we_o likewise_o the_o 13_o of_o januarie_n be_v the_o first_o of_o the_o ides_n the_o last_o of_o the_o ides_n waâ_n the_o sixth_o of_o januarie_n these_o thing_n be_v to_o be_v regard_v especial_o by_o the_o learned_a sort_n that_o they_o may_v be_v skilful_a in_o the_o account_n of_o the_o ancient_a roman_n p._n the_o next_o space_n which_o follow_v contain_v thâ_n name_n of_o the_o month_n i_o pray_v you_o let_v i_o have_v a_o woââ_n or_o two_o with_o you_o concern_v they_o because_o not_o beinâ_n skilful_a in_o the_o latin_a author_n i_o can_v satisfy_v my_o selââ_n in_o many_o thing_n which_o i_o will_v glad_o know_v tell_v ãâã_d i_o pray_v you_o have_v this_o number_n of_o month_n be_v continual_a i_o speak_v of_o the_o roman_n m._n no_o for_o romulus_n the_o first_o king_n of_o româ_n count_v but_o 10._o month_n to_o the_o year_n according_a to_o thââ_n time_n which_o a_o woman_n bear_v her_o child_n in_o her_o womb_n numa_n pompilius_n succeed_v he_o add_v other_o twâ_n month_n namely_o januarie_n and_o february_n so_o that_o heââ_n by_o he_o make_v the_o month_n of_o the_o year_n answerable_a to_o tââ_n 12._o sign_n this_o number_n of_o the_o month_n have_v continue_v still_o p._n have_v the_o order_n of_o they_o be_v all_o one_o from_o thâ_n beginning_n m._n romulus_n who_o be_v the_o first_o author_n of_o thâ_n year_n begin_v it_o at_o the_o month_n of_o march_n in_o the_o â_z mars_n his_o father_n numa_n pompilius_n add_v two_o other_o month_n make_v januarie_n the_o first_o and_o february_n the_o laââ_n month_n of_o the_o year_n because_o it_o be_v consecrate_v to_o thâ_n infernal_a god_n the_o decemuiri_fw-la afterward_o join_v januarie_n and_o february_n together_o and_o make_v february_n thâ_n second_o month_n of_o the_o year_n p._n what_o be_v the_o reason_n of_o their_o unequal_a quantity_n m._n it_o be_v not_o possible_a that_o they_o shall_v all_o be_v ãâã_d ãâã_d quantity_n because_o of_o the_o motion_n of_o the_o sun_n make_v ãâã_d several_a day_n of_o the_o year_n if_o the_o sun_n have_v go_v unwise_o every_o day_n one_o degree_n of_o the_o ecliptic_a then_o âââht_v every_o month_n of_o the_o year_n have_v have_v just_a 30._o daâes_n but_o consider_v that_o there_o be_v five_o day_n more_o in_o thâ_n year_n than_o there_o be_v degree_n in_o the_o ecliptic_a it_o be_v ãâã_d possible_a but_o that_o five_o month_n must_v have_v one_o odd_a âaiâ_n more_o p._n but_o now_o there_o be_v 7._o month_n which_o have_v 31._o âââes_n and_o one_o month_n have_v but_o 28._o m._n it_o be_v so_o first_o there_o be_v but_o five_o month_n that_o have_v 31._o day_n but_o julius_n caesar_n take_v one_o day_n ãâã_d february_n to_o put_v to_o julie_n that_o as_o he_o think_v himââââ_n inferior_a to_o no_o man_n so_o his_o month_n shall_v have_v as_o ââây_v day_n as_o any_o other_o augustus_n caesar_n succee_v he_o and_o be_v as_o ambitious_a as_o his_o predecessor_n ââh_o draw_v a_o other_o day_n from_o february_n and_o join_v it_o ãâã_d his_o month_n august_n to_o the_o end_n that_o it_o may_v not_o be_v ââârior_a to_o julie_n in_o the_o number_n of_o day_n p._n have_v these_o name_n of_o the_o month_n continue_v âââm_v the_o first_o beginning_n m._n no._n for_o the_o month_n of_o julie_n because_o it_o be_v the_o five_o from_o march_n be_v call_v in_o old_a time_n quintilis_n and_o august_n be_v the_o sixth_o be_v call_v sextilis_n moreover_o domitianus_n germanicus_n emperor_n of_o rome_n ââânged_v the_o name_n of_o september_n and_o call_v it_o gerââânicus_n because_o in_o that_o month_n he_o overthrewe_v the_o germans_n he_o change_v also_o the_o name_n of_o october_n and_o call_v it_o domitianus_n after_o his_o own_o name_n but_o after_o his_o decease_n those_o two_o month_n receive_v their_o ancient_a name_n again_o p._n what_o be_v the_o reason_n of_o these_o name_n m._n the_o month_n of_o januarie_n have_v his_o name_n of_o ãâã_d latin_a word_n janua_fw-la which_o signify_v a_o gate_n a_o door_n oâ_n entry_n because_o it_o be_v the_o first_o entrance_n into_o the_o year_n ãâã_d else_o it_o receave_v his_o name_n from_o janus_n the_o two_o faââ_n god_n to_o who_o this_o month_n be_v consecrate_v febâarie_o receive_v his_o name_n from_o the_o word_n februus_n whâ_n be_v the_o infernal_a god_n otherwise_o call_v pluto_n to_o whoââ_n in_o this_o month_n the_o roman_n do_v sacrifice_v or_o else_o of_o ââbrua_fw-mi which_o be_v sacrifice_n and_o ceremony_n for_o pââging_v of_o soul_n which_o in_o this_o month_n especial_o they_o ââfred_v to_o the_o god_n beneath_o some_o derive_v it_o from_o the_o wââ_n febris_n a_o ague_n because_o in_o this_o month_n they_o be_v soââ_n what_o rife_o march_n receave_v his_o name_n from_o marsââ_n father_n of_o romulus_n and_o god_n of_o war_n as_o the_o romaâ_n account_v he_o and_o in_o this_o month_n they_o begin_v thâ_n warlike_a provision_n april_n this_o month_n be_v conseââted_v to_o venus_n the_o mother_n of_o aeneas_n from_o who_o ãâã_d roman_n fetch_v their_o descent_n the_o grecian_n call_v her_o ãâã_d phrodite_n to_o signify_v that_o she_o be_v breed_v of_o the_o foam_v the_o sea_n which_o be_v by_o they_o call_v aphro_n and_o from_o theââ_n they_o fetch_v the_o name_n of_o this_o month_n strike_v out_o theâ_n call_v it_o april_v as_o it_o be_v aphrill_a but_o varro_n think_v it_o more_o convenient_a to_o derive_v the_o name_n from_o the_o laââ_n word_n aperio_fw-la which_o signify_v to_o open_v because_o the_o eaââ_n begin_v then_o to_o be_v free_a from_o the_o bind_a force_n of_o ãâã_d frost_n and_o to_o send_v forth_o the_o grass_n and_o other_o fruit_n ãâã_d
month_n of_o may_n have_v his_o name_n derive_v sundry_a wayâ_n some_o will_v have_v it_o take_v from_o the_o word_n maius_n that_o ãâã_d jupiter_n other_o derive_v it_o from_o the_o goddess_n maiestââ_n daughter_n as_o the_o poet_n will_v have_v of_o honour_n and_o reâârence_n because_o in_o this_o month_n the_o first_o worship_n of_o theââ_n ââds_v begin_v other_o take_v the_o name_n from_o maia_n the_o ãâã_d of_o vulcan_n unto_o who_o vulcan_n high_a priest_n ãâã_d sacrifice_n in_o the_o kalend_n of_o may_n which_o be_v the_o first_o of_o ãâã_d month_n other_o say_v this_o month_n be_v so_o call_v of_o âââia_fw-la the_o daughter_n of_o atlas_n and_o mother_n of_o mercury_n ãâã_d of_o merchant_n because_o in_o this_o month_n the_o merâââts_n offer_v sacrifice_n to_o mercury_n and_o maia_n last_o of_o ãâã_d i_o affirm_v that_o in_o this_o month_n romulus_n divide_v ãâã_d people_n of_o rome_n in_o maiores_fw-la &_o minores_fw-la that_o be_v ãâã_d the_o elder_a and_o young_a sort_n hinc_fw-la sva_fw-la maiores_fw-la triâââe_fw-la vocabula_fw-la maio._n so_o that_o this_o month_n receive_v ãâã_d âame_n from_o the_o maiores_fw-la that_o be_v the_o elder_a sort_n ãâã_d have_v his_o name_n also_o derive_v from_o sundry_a thing_n ââe_v fetch_v the_o name_n from_o junius_n brutus_n by_o who_o ââquinius_fw-la and_o the_o name_n of_o the_o king_n be_v expulse_v ââme_n other_o derive_v the_o name_n from_o juno_n moneta_n ãâã_d who_o for_o her_o good_a admonition_n and_o counsel_n in_o âââng_v the_o fearful_a earthquake_n at_o rome_n the_o romance_n ââcated_v a_o chapel_n the_o first_o of_o this_o month_n so_o that_o the_o âââeth_v be_v call_v junonius_n and_o afterward_o junius_n to_o ââde_v the_o length_n of_o the_o word_n other_o call_v it_o june_n a_o âââendo_fw-la of_o join_v because_o in_o this_o month_n the_o roââes_n and_o sabine_n be_v join_v together_o in_o one_o city_n ââers_n take_v it_o from_o iwenta_fw-la the_o goddess_n of_o youth_n ãâã_d wife_n of_o 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ãâã_d march_n and_o the_o summer_n solstice_n be_v the_o 24._o of_o juâââ_n the_o nicene_n council_n find_v the_o vernal_a equinoctial_a ãâã_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 ãâã_d say_v month_n the_o reason_n of_o this_o difference_n be_v in_o ãâã_d julius_n caesar_n almanac_n which_o we_o follow_v presuppâseth_v the_o year_n to_o be_v 365._o day_n and_o 6._o hour_n which_o ââing_n great_a than_o the_o year_n of_o the_o sun_n it_o commââ_n hereby_o to_o pass_v that_o the_o solare_fw-la year_n prevent_v ãâã_d year_n of_o julius_n caesar_n and_o draw_v by_o little_a and_o ãâã_d near_o unto_o the_o first_o day_n of_o the_o month_n so_o that_o in_o ãâã_d to_o come_v the_o entrance_n of_o the_o sun_n into_o the_o head_n of_o ââries_n which_o be_v the_o equinoctial_a point_n will_v be_v the_o first_o ãâã_d march_n if_o there_o be_v not_o a_o correction_n use_v in_o the_o othââ_n space_n that_o follow_v be_v set_v the_o name_n of_o the_o windââ_n 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accustom_v yourself_o to_o turn_v the_o degree_n ãâã_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 ãâã_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 ãâã_d 360._o degree_n be_v equal_a the_o quarter_n of_o the_o circle_n contâneth_v 90._o degree_n and_o 8._o point_n of_o the_o compass_n euââ_n point_n of_o the_o compass_n therefore_o contain_v 11_o degrââ_n two_o point_n contain_v 22._o degr_n ½_n three_o point_n contaââ_n 33._o degree_n ¾_n four_o point_n contain_v 45._o degree_n nââ_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 ãâã_d circle_n i_o will_v fetch_v they_o out_o of_o the_o definition_n which_o ãâã_d this_o the_o horizon_n be_v a_o great_a fix_a circle_n of_o the_o gloââ_n divide_v that_o part_n of_o the_o heaven_n which_o be_v see_v fââââ_n that_o part_n of_o the_o heaven_n which_o be_v not_o see_v first_o tell_v ãâã_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 ãâã_d plain_a champion_n country_n where_o there_o be_v nothing_o ãâã_d hinder_v your_o sight_n that_o round_o about_o you_o there_o seemeââ_n circle_n to_o be_v describe_v which_o be_v a_o representation_n of_o ãâã_d circle_n whereof_o we_o speak_v beyond_o this_o circle_n youâ_n ãâã_d nothing_o neither_o do_v your_o sight_n pass_v it_o but_o endââ_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 ãâã_d ãâã_d ãâã_d ãâã_d ãâã_d which_o be_v finio_fw-la
by_o reason_n of_o the_o motiââ_n ãâã_d the_o nine_o sphere_n so_o in_o regard_n of_o the_o motion_n of_o trepidation_n belong_v to_o the_o eight_o sphere_n the_o sun_n do_v ââânge_v his_o great_a declination_n ptolemee_n find_v the_o ââatest_a declination_n to_o be_v 23._o d._n 51._o min_fw-mi 20._o s_o io._n regioââântanus_n avouch_v it_o to_o be_v 23._o d._n 30._o min._n copernicus_n pronounce_v it_o to_o be_v 23._o d._n 28._o m._n all_o the_o other_o point_n of_o ãâã_d ecliptic_a be_v of_o a_o lesser_a declination_n according_a as_o they_o be_v near_o to_o the_o equinoctial_a and_o in_o they_o this_o be_v a_o general_a rule_n that_o those_o point_n of_o the_o ecliptic_n which_o ãâã_d opposite_a or_o equal_o distant_a from_o the_o equinoctial_a point_n have_v equal_a declination_n as_o â_o and_o â_o be_v opposite_a item_n â_o and_o â_o or_o â_o and_o â_o which_o be_v of_o equal_a ââstance_n from_o the_o equinoctial_a point_n have_v equal_a declination_n p._n hitherto_o you_o have_v make_v the_o meridian_n the_o ââmmon_a measurer_n of_o the_o declination_n but_o may_v i_o not_o ââde_v it_o otherwise_o m._n yes_o you_o may_v find_v it_o by_o your_o compass_n more_o precise_o in_o this_o manner_n set_v one_o foot_n of_o your_o compass_n in_o any_o star_n propound_v or_o in_o any_o degree_n of_o the_o ecliptic_n who_o declination_n you_o desire_v and_o turn_v the_o other_o foot_n of_o they_o to_o the_o equator_fw-la or_o any_o other_o circle_n parallel_n unto_o the_o equator_fw-la put_v the_o say_a foot_n out_o or_o pull_v it_o in_o until_o you_o do_v but_o touch_v the_o circle_n then_o appââe_v your_o compass_n to_o the_o equinoctial_a line_n and_o observe_v the_o number_n of_o degree_n intercept_v between_o they_o for_o they_o express_v the_o declination_n p._n what_o commodity_n do_v the_o knowledge_n of_o the_o declination_n bring_v m._n first_o it_o help_v we_o to_o find_v the_o height_n of_o the_o pole_n as_o i_o will_v teach_v you_o hereafter_o when_o i_o speak_v of_o the_o height_n of_o the_o star_n and_o sun_n second_o it_o bring_v we_o to_o the_o knowledge_n of_o the_o place_n of_o the_o sun_n last_o of_o aââ_n it_o bring_v forth_o the_o day_n of_o the_o month_n p._n tell_v i_o the_o declination_n be_v know_v as_o sâ_n example_n suppose_v i_o know_v the_o sun_n to_o decline_v 11._o deââ_n 30._o m._n how_o shall_v i_o find_v the_o place_n of_o the_o sun_n m._n forsomuch_o as_o 4._o mean_a point_n of_o the_o ecliptioâ_n have_v equal_a declination_n as_o i_o say_v even_o now_o there_o mâââ_n therefore_o consideration_n be_v have_v of_o the_o time_n of_o the_o yeaââ_n as_o whether_o the_o sun_n be_v suppose_v to_o have_v this_o declination_n in_o the_o spring_n or_o in_o the_o summer_n etc._n etc._n for_o the_o declination_n propound_v must_v be_v seek_v out_o only_o in_o that_o pâââ_n of_o the_o ecliptic_n which_o be_v correspondent_a to_o the_o season_n than_o be_v your_o rule_n this_o if_o the_o quarter_n of_o the_o ecliptic_a ãâã_d swerable_a to_o the_o season_n propound_v be_v apply_v to_o ãâã_d meridian_n the_o degree_n of_o the_o ecliptic_n which_o fall_v ãâã_d under_o the_o assign_a declination_n be_v the_o place_n of_o the_o sunââ_n so_o if_o it_o be_v spring_v time_n the_o sun_n decline_v 11._o d._n 30._o ãâã_d must_v needs_o possess_v the_o head_n of_o â_o if_o it_o be_v summer_n ãâã_d possess_v the_o head_n of_o â_o etc._n etc._n p._n hereby_o i_o think_v i_o can_v answer_v the_o ãâã_d proposition_n myself_o m._n let_v i_o see_v the_o declination_n of_o the_o sun_n beââ_n give_v how_o can_v you_o find_v the_o day_n of_o the_o month_n p._n if_o the_o degree_n which_o the_o sun_n possess_v be_v foââ_n out_o by_o the_o former_a proposition_n be_v seek_v for_o afterwards_o in_o the_o horizon_n of_o the_o globe_n the_o day_n of_o the_o monâ_n which_o stand_v right_a against_o it_o be_v the_o day_n require_v ãâã_d for_o example_n the_o sun_n in_o the_o spring_n time_n decline_v ãâã_d d._n 30._o m._n by_o the_o former_a proposition_n i_o find_v his_o place_n to_o ãâã_d the_o head_n of_o â_o unto_o the_o which_o in_o the_o horizon_n of_o tââ_n globe_n i_o find_v the_o end_n of_o the_o ten_o of_o april_n to_o answer_v m._n you_o say_v true_a the_o four_o thing_n which_o craveââ_n ãâã_d certain_a position_n of_o the_o globe_n be_v the_o longitude_n this_o âay_v belong_v to_o any_o point_n assign_v in_o the_o globe_n but_o general_o we_o seek_v the_o longitude_n either_o of_o the_o star_n or_o of_o the_o degree_n of_o the_o ecliptic_n whereby_o also_o we_o count_v ââe_z longitude_n of_o the_o sun_n the_o beginning_n of_o longitude_n be_v the_o head_n of_o â_o the_o circle_n wherein_o it_o be_v count_v ând_v measure_v be_v the_o ecliptic_n the_o extremity_n or_o end_n of_o the_o longitude_n in_o respect_n of_o the_o star_n which_o be_v distant_a from_o the_o ecliptic_n towards_o either_o pole_n thereof_o be_v ââat_a point_n of_o the_o ecliptic_n upon_o which_o that_o great_a ââcle_n light_v which_o be_v draw_v from_o the_o pole_n of_o the_o ecliptic_n through_o the_o centre_n of_o the_o star_n but_o in_o reâââct_n of_o the_o ecliptic_n itself_o or_o in_o regard_n of_o any_o star_n ãâã_d the_o sun_n suppose_v to_o be_v in_o the_o ecliptic_n the_o end_n or_o âââit_v of_o longitude_n be_v that_o degree_n which_o the_o sun_n or_o star_n be_v suppose_v to_o possess_v hereupon_o we_o define_v the_o âââgitude_n thus_o the_o longitude_n be_v a_o arcke_n of_o the_o ecliptic_n contain_v according_a to_o the_o natural_a succession_n of_o the_o sign_n between_o the_o head_n of_o â_o and_o that_o great_a circle_n âhich_v be_v draw_v from_o the_o pole_n of_o the_o ecliptic_n through_o the_o point_n assign_v in_o the_o globe_n here_o you_o must_v note_v this_o that_o forsomuch_o as_o the_o head_n of_o â_o be_v the_o begin_n of_o all_o longitude_n therefore_o whatsoever_o be_v contain_v under_o the_o half_a of_o that_o great_a circle_n which_o be_v âââwen_v from_o the_o one_o pole_n of_o the_o ecliptic_n through_o that_o ââint_n unto_o the_o other_o have_v no_o longitude_n at_o all_o the_o other_o ââints_v assign_v in_o the_o globe_n may_v increase_v in_o longitude_n ââto_fw-la 360._o degree_n than_o the_o which_o there_o can_v be_v no_o greateâ_n because_o they_o be_v the_o degree_n of_o the_o whole_a ecliptic_n p._n you_o say_v that_o the_o longitude_n be_v a_o arcke_n of_o the_o ecliptic_n but_o how_o shall_v i_o express_v it_o as_o for_o example_n ãâã_d i_o be_v demand_v of_o the_o longitude_n of_o the_o star_n call_v the_o lion_n hart_n what_o shall_v i_o say_v that_o it_o be_v a_o arâââ_n of_o the_o ecliptic_n &_o c_o i_o think_v that_o be_v somewhââ_n absurd_a m._n if_o you_o shall_v answer_v so_o your_o answer_n weââ_n true_a but_o for_o your_o instruction_n note_v this_o that_o when_o ãâã_d be_v demand_v of_o the_o longitude_n of_o the_o sun_n or_o starrâ_n we_o make_v answer_v two_o several_a way_n sometime_o by_o ãâã_d degree_n of_o the_o sign_n upon_o which_o the_o great_a circle_n falleâ_n which_o be_v draw_v from_o the_o pole_n of_o the_o ecliptic_a throuââ_n the_o centre_n thereof_o so_o we_o say_v that_o the_o longitude_n of_o ãâã_d lion_n hart_n be_v the_o 23._o d._n 43._o m._n of_o leo._n sometime_o ãâã_d answer_n by_o the_o continual_a succession_n of_o the_o degree_n contain_v in_o the_o arcke_n of_o the_o ecliptic_n for_o we_o say_v the_o lioâ_n hart_n have_v longitude_n 143._o d._n 43._o m._n p._n but_o the_o degree_n of_o the_o ecliptic_n be_v not_o ãâã_d down_o in_o continual_a succession_n upon_o the_o globe_n m._n it_o be_v true_a and_o therefore_o the_o longitude_n upââ_n the_o globe_n be_v not_o find_v but_o according_a to_o the_o sign_n ãâã_d their_o degree_n yet_o if_o for_o every_o whole_a sign_n you_o coââ_n 30._o degree_n and_o unto_o that_o sum_n add_v the_o odd_a degreâ_n and_o minute_n remain_v if_o there_o be_v any_o the_o total_a be_v ãâã_d longitude_n according_a to_o the_o continual_a succession_n as_o ãâã_d example_n the_o lion_n hart_n be_v in_o the_o 23._o d._n 43._o m._n of_o leo._n ââfore_o leo_n there_o be_v 4._o whole_a sign_n therefore_o i_o take_v foâ_n time_n 30._o which_o make_v 120._o unto_o which_o i_o add_v the_o oââ_n degree_n and_o minute_n remain_v which_o be_v 23._o d._n 43._o ãâã_d the_o total_a sum_n 143._o d._n 43._o m._n be_v the_o longitude_n accord_v to_o the_o continual_a succession_n of_o the_o degree_n p._n you_o say_v that_o in_o find_v the_o declination_n ãâã_d meridian_n circle_n be_v a_o fit_a and_o convenient_a instrument_n ãâã_d what_o shall_v we_o have_v to_o find_v the_o longitude_n m._n it_o be_v convenient_a for_o this_o purpose_n and_o for_o ãâã_d latitude_n whereof_o i_o be_o to_o speak_v to_o
elevation_n ãâã_d âhe_v pole_n be_v give_v how_o shall_v i_o find_v by_o the_o globe_n ââat_a star_n do_v arise_v and_o set_v what_o star_n never_o set_v and_o ââat_a star_n never_o rise_v m._n rectify_v your_o globe_n that_o be_v raise_v the_o pole_n of_o ãâã_d globe_n according_a to_o the_o elevation_n assign_v so_o shall_v ãâã_d present_o answer_v yourself_o by_o the_o revolution_n of_o ãâã_d globe_n if_o both_o the_o pole_n be_v in_o the_o horizon_n you_o ââll_v see_v every_o star_n and_o every_o degree_n of_o the_o ecliptic_a ãâã_d ârise_n and_o set_v if_o one_o of_o the_o pole_n be_v in_o your_o zenith_n ââu_o shall_v see_v all_o the_o star_n and_o degree_n of_o the_o ecliptic_a âââm_n the_o equator_fw-la upward_o never_o to_o set_v and_o contrariwise_o âââse_a that_o be_v from_o the_o equator_fw-la downward_o never_o to_o ãâã_d if_o the_o pole_n be_v raise_v 66._o do_v 30._o m._n you_o shall_v see_v all_o the_o âââres_n from_o the_o one_o tropic_n upward_a never_o to_o set_v and_o âââm_o the_o other_o tropic_n downward_o never_o to_o rise_v and_o ãâã_d sun_n be_v in_o the_o tropic_n next_o to_o the_o pole_n that_o be_v âââuated_v do_v but_o touch_v the_o horizon_n with_o his_o centre_n ãâã_d be_v in_o all_o other_o place_n of_o the_o ecliptic_n he_o do_v ãâã_d the_o rise_n and_o set_v to_o conclude_v this_o be_v a_o general_a rule_n to_o ãâã_d gather_v out_o of_o the_o declination_n if_o the_o declination_n ââââer_v of_o the_o sun_n or_o star_n be_v lesser_a than_o the_o compleasant_n of_o the_o height_n of_o the_o pole_n the_o sun_n and_o star_n aâââth_v and_o set_v if_o the_o declination_n be_v great_a they_o neâââ_n set_v or_o else_o never_o arise_v if_o the_o declination_n be_v equal_a ââey_v touch_v the_o horizon_n but_o never_o set_v or_o else_o never_o aââââ_n the_o next_o thing_n to_o be_v consider_v in_o the_o horizon_n be_v ãâã_d ascension_n and_o descension_n of_o the_o sun_n or_o star_n âââh_v the_o difference_n thereof_o ascension_n be_v the_o portion_n of_o ãâã_d equator_fw-la contain_v the_o orderly_a succession_n of_o the_o degree_n be_v observe_v between_o the_o head_n of_o â_o aâ_n the_o horizon_n at_o the_o time_n of_o the_o rise_n of_o the_o sun_n ãâã_d star_n descension_n be_v the_o portion_n of_o the_o equator_fw-la contain_v in_o like_a manner_n between_o the_o head_n of_o â_o and_o thâ_n horizon_n at_o the_o time_n of_o the_o set_n of_o the_o sun_n ãâã_d star_n therefore_o whatsoever_o be_v in_o the_o horizon_n wiââ_n the_o head_n of_o â_o have_v neither_o ascension_n or_o descension_n ascension_n and_o descension_n be_v either_o right_a or_o crooked_a otherwise_o call_v oblique_a right_o ascension_n be_v the_o portion_n of_o the_o equator_fw-la contain_v between_o the_o head_n of_o ariââ_n and_o the_o meridian_n at_o the_o time_n of_o the_o come_n of_o aââ_n either_o sun_n or_o star_n unto_o the_o meridian_n descension_n may_v be_v define_v in_o the_o same_o manner_n by_o the_o depart_n from_o the_o meridian_n p._n how_o come_v it_o to_o pass_v that_o you_o define_v thâ_n right_a ascension_n by_o the_o meridian_n and_o not_o by_o the_o horizon_n as_o you_o do_v general_o define_v it_o before_o m._n i_o define_v it_o by_o the_o meridian_n because_o i_o will_v haââ_n you_o remember_v that_o which_o i_o tell_v you_o before_o namelâ_n that_o the_o meridian_n of_o the_o globe_n may_v very_o fit_o supply_v ãâã_d place_n of_o the_o horizon_n in_o a_o right_a sphere_n therefore_o if_o yââ_n will_v know_v the_o right_a ascension_n of_o the_o sun_n or_o star_v bring_v the_o degree_n of_o the_o ecliptic_n which_o the_o sun_n possess_v or_o else_o bring_v the_o star_n assign_v to_o the_o meridian_n and_o there_o observe_v what_o portion_n of_o the_o equator_fw-la be_v contain_v between_o the_o head_n of_o â_o and_z the_o meridian_n ãâã_d that_o be_v the_o right_a ascension_n here_o this_o be_v to_o be_v noââ_n that_o the_o right_a ascension_n and_o descension_n be_v always_o onâ_n for_o the_o same_o degree_n of_o the_o equator_fw-la which_o come_v ãâã_d the_o meridian_n the_o same_o degree_n go_v from_o the_o meridian_n with_o the_o sun_n or_o star_n moreover_o there_o be_v no_o degreâ_n of_o the_o ecliptic_n nor_o no_o star_n but_o it_o have_v a_o right_a ascenâââ_n and_o descension_n except_v those_o which_o be_v geneâââ_n except_v before_o namely_o those_o which_o be_v just_a unâââ_n the_o meridian_n with_o the_o head_n of_o â_o p._n by_o your_o word_n i_o gather_v that_o the_o oblique_a ascenââââ_n be_v the_o portion_n of_o the_o equator_fw-la contain_v between_o ãâã_d head_n of_o â_o and_o the_o horizon_n of_o a_o oblique_a sphere_n at_o ââârising_v of_o the_o sun_n or_o star_n descension_n also_o may_v ãâã_d âefined_v in_o the_o same_o manner_n by_o the_o set_n so_o that_o if_o ââsire_v to_o know_v the_o oblique_a ascension_n i_o must_v bring_v the_o ââââee_n of_o the_o ecliptic_n or_o else_o the_o star_n assign_v to_o the_o ââââzon_n and_o there_o observe_v what_o portion_n of_o the_o equator_fw-la contain_v between_o the_o head_n of_o â_o and_z the_o horizon_n ãâã_d that_o on_o the_o east_n side_n of_o the_o horizon_n be_v the_o oblique_a ââânsion_n on_o the_o west_n side_n it_o be_v the_o descension_n m._n you_o say_v right_a and_o here_o note_v this_o that_o the_o âââque_a ascension_n and_o descension_n be_v never_o the_o same_o ãâã_d some_o star_n and_o the_o sun_n likewise_o have_v neither_o âââension_n or_o descension_n namely_o when_o they_o neither_o rise_v ãâã_d set_v p._n what_o be_v the_o difference_n of_o ascension_n which_o you_o âââred_a before_o m._n in_o search_v out_o the_o right_n and_o crooked_a asâââsion_n you_o shall_v find_v this_o continual_o to_o be_v true_a that_o of_o âne_a and_o the_o same_o sign_n or_o star_n the_o several_a ascensiââ_n never_o agree_v the_o one_o be_v always_o either_o great_a or_o âââr_n than_o another_o therefore_o have_v find_v out_o the_o ââât_n and_o crooked_a ascension_n of_o any_o one_o star_n subduct_v ãâã_d lesser_a from_o the_o great_a the_o degree_n of_o the_o equator_fw-la âââch_n remain_v be_v call_v the_o difference_n of_o ascenââââ_n p._n to_o what_o end_n serve_v this_o ascension_n and_o difference_n of_o ascension_n whereof_o you_o speak_v p._n it_o serve_v to_o diverse_a purpose_n whereof_o i_o shââ_n make_v mention_n hereafter_o now_o let_v we_o follow_v the_o matââ_n which_o we_o have_v in_o hand_n we_o use_v in_o the_o horizon_n to_o observe_v with_o what_o degree_n of_o the_o ecliptic_a any_o staââ_n do_v arise_v or_o set_v which_o thing_n be_v do_v only_o by_o mouââ_n the_o globe_n up_o and_o down_o until_o the_o star_n assign_v coâmeth_v to_o the_o east_n or_o west_n side_n of_o the_o horizon_n the_o degree_n of_o the_o ecliptic_n which_o be_v then_o in_o the_o horizon_n ãâã_d the_o degree_n require_v p._n by_o this_o mean_n also_o i_o may_v know_v what_o degrââ_n come_v to_o the_o meridian_n for_o if_o i_o bring_v the_o star_n propound_v to_o the_o meridian_n the_o degree_n of_o the_o ecliptic_n which_o be_v under_o the_o meridian_n with_o the_o star_n be_v the_o ââgree_n require_v but_o what_o do_v the_o knowledge_n of_o ãâã_d avail_v i_o m._n hereby_o you_o may_v learn_v upon_o what_o day_n of_o ãâã_d very_a month_n every_o star_n be_v to_o be_v see_v rise_a or_o sââting_v or_o in_o the_o meridian_n at_o midnight_n in_o this_o manneâ_n bring_v the_o star_n propound_v to_o the_o east_n side_n of_o the_o horizon_n mark_v what_o degree_n of_o the_o ecliptic_n be_v in_o the_o horizon_n with_o it_o when_o the_o sun_n shall_v possess_v the_o oppoââ_n degree_n that_o day_n shall_v the_o assign_a star_n arise_v at_o the_o ââting_n of_o the_o sun_n p._n but_o how_o shall_v i_o know_v that_o day_n m._n i_o tell_v you_o before_o that_o whensoever_o there_o any_o degree_n of_o the_o ecliptic_n assign_v it_o must_v be_v souâ_n out_o in_o the_o horizon_n and_o right_a against_o it_o you_o shall_v finââ_n the_o day_n of_o the_o month_n wherein_o the_o sun_n possess_v thâ_n degree_n take_v a_o example_n the_o little_a dog_n arise_v in_o oâ_n horizon_n with_o the_o 5._o d._n 30._o m._n of_o leo_n the_o degree_n oppose_v to_o this_o in_o the_o west_n side_n of_o the_o horizon_n be_v the_o 5._o d._n 30._o m_o aquarius_n the_o sun_n possess_v that_o degree_n as_o i_o perceâ_n âhe_v horizon_n the_o 16._o of_o januarie_n therefore_o upon_o that_o ââat_a the_o set_n of_o the_o sun_n the_o little_a dog_n arise_v ââe_z horizon_n contrariwise_o bring_v any_o star_n to_o the_o ãâã_d side_n of_o the_o horizon_n mark_v the_o degree_n of_o the_o eâââicke_n which_o come_v to_o the_o horizon_n with_o it_o ââân_o the_o sun_n possess_v the_o opposite_a degree_n on_o that_o ââat_a the_o rise_n of_o the_o sun_n the_o say_a star_n shall_v
set_v in_o ãâã_d west_n and_o here_o be_v the_o first_o mean_n offer_v to_o find_v ãâã_d elevation_n of_o the_o pole_n this_o be_v certain_a that_o there_o be_v ãâã_d elevation_n wherein_o one_o and_o the_o same_o star_n arise_v or_o âââeth_v with_o the_o same_o degree_n of_o the_o ecliptic_n with_o âââch_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 ââuerall_a degree_n of_o the_o ecliptic_n with_o which_o it_o rise_v ãâã_d set_v every_o day_n if_o the_o lesser_a dog_n arise_v in_o one_o ââe_v with_o the_o head_n of_o leo_n in_o a_o other_o place_n he_o arise_v ãâã_d the_o 10._o or_o 20._o of_o leo._n therefore_o if_o you_o can_v observe_v ãâã_d star_n rise_v in_o the_o horizon_n when_o the_o sun_n do_v ãâã_d or_o set_v in_o the_o horizon_n when_o the_o sun_n do_v aââââ_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 ââââre_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 âââbe_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
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 that_o of_o the_o several_a inhabitant_n of_o the_o earth_n dwell_v either_o on_o thâ_n north_n or_o south_n side_n of_o the_o equator_fw-la some_o may_v have_v diverse_a longitude_n but_o the_o same_o latitude_n as_o the_o germanâ_n the_o muscovite_n the_o tartarian_n etc._n etc._n differ_v in_o longitud%_n have_v notwithstanding_o the_o same_o latitude_n with_o the_o english_a man_n these_o inhabitant_n general_o consider_v be_v calleâ_n perieci_n they_o have_v their_o zenith_n in_o the_o same_o parallel_n the_o star_n rise_v and_o set_v unto_o they_o all_o upon_o the_o same_o point_n of_o the_o compass_n and_o at_o the_o same_o hour_n and_o have_v the_o same_o height_n above_o the_o horizon_n they_o have_v the_o day_n and_o night_n increase_v and_o decrease_v alike_o unto_o they_o all_o &_o the_o season_n of_o the_o year_n change_v after_o one_o manner_n and_o at_o one_o time_n yet_o they_o that_o dwell_v to_o the_o eastward_o of_o the_o other_o prevent_v the_o other_o dwell_v to_o the_o westward_a in_o the_o time_n as_o thus_o they_o in_o germany_n may_v see_v the_o sun_n rise_v at_o six_o a_o clock_n so_o may_v we_o in_o england_n yet_o their_o 6._o a_o clock_n prevent_v we_o by_o a_o hour_n more_o or_o less_o according_a as_o they_o be_v more_o or_o less_o unto_o the_o eastward_o so_o that_o when_o the_o sun_n rise_v unto_o they_o at_o six_o a_o clock_n it_o be_v then_o but_o five_o a_o clock_n to_o we_o that_o dwell_v fifteen_o degree_n more_o unto_o the_o westward_n and_o the_o sun_n will_v have_v be_v up_o unto_o they_o a_o hour_n when_o he_o begin_v but_o new_o to_o rise_v unto_o us._n and_o if_o we_o happen_v to_o see_v the_o moon_n eclipse_v at_o nine_o a_o clock_n they_o that_o dwell_v forty_o five_o degree_n from_o we_o eastward_o shall_v fee_v she_o eclipse_v at_o twelve_o a_o clock_n yet_o shall_v it_o be_v but_o six_o a_o clock_n to_o they_o that_o dwell_v as_o many_o degree_n from_o we_o to_o the_o westward_o here_o you_o be_v to_o understand_v this_o that_o albeit_o the_o word_n perieci_n according_a to_o the_o signification_n thereof_o may_v be_v general_o apply_v to_o all_o they_o that_o have_v the_o same_o latitude_n yet_o proper_o in_o geography_n it_o be_v attribute_v unto_o they_o that_o have_v the_o same_o meridian_n but_o dwell_v on_o the_o contrary_a side_n thereof_o and_o have_v their_o difference_n of_o longitude_n 180._o degree_n and_o one_o of_o the_o pole_n of_o the_o world_n always_o in_o the_o midst_n between_o their_o vertical_a point_n such_o be_v they_o that_o dwell_v in_o arabia_n felix_n on_o the_o one_o side_n and_o in_o hispania_n nova_fw-la on_o the_o other_o side_n of_o the_o meridian_n these_o man_n differ_v one_o from_o another_o in_o this_o that_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 and_o contrariwise_o item_n when_o the_o sun_n set_v to_o the_o one_o he_o rise_v to_o the_o other_o and_o contrariwise_o item_n the_o south_n side_n of_o our_o meridian_n be_v their_o north_n side_n all_o these_o community_n and_o difference_n may_v be_v easy_o find_v out_o upon_o the_o globe_n either_o by_o ayply_v a_o thread_n unto_o the_o globe_n in_o stead_n of_o another_o horizon_n or_o else_o by_o compare_v the_o two_o globe_n together_o the_o thread_n must_v cross_v the_o meridian_n so_o many_o degree_n distant_a from_o the_o pole_n as_o the_o pole_n be_v distant_a from_o the_o horizon_n as_o if_o the_o pole_n of_o the_o place_n assign_v be_v 50._o degree_n the_o thread_n must_v cross_v the_o meridian_n in_o the_o 50._o degree_n on_o this_o side_n the_o pole_n from_o the_o meridian_n it_o must_v be_v direct_v to_o the_o east_n point_n of_o the_o horizon_n and_o from_o thence_o cross_v the_o nether_a side_n of_o the_o meridian_n in_o the_o 50._o degree_n from_o the_o pole_n it_o must_v be_v direct_v to_o the_o west_n side_n of_o the_o horizon_n until_o it_o come_v to_o the_o upper_a side_n of_o the_o meridian_n again_o so_o shall_v you_o most_o easy_o perceive_v all_o those_o community_n and_o difference_n of_o the_o perieci_n to_o be_v true_a whereof_o i_o speak_v before_o as_o that_o their_o day_n and_o night_n be_v several_o compare_v be_v of_o a_o equal_a length_n that_o the_o star_n and_o the_o sun_n rise_v and_o set_v at_o the_o same_o hour_n etc._n etc._n p._n if_o i_o be_v desirous_a to_o try_v this_o by_o two_o several_a globe_n how_o shall_v i_o go_v to_o work_v m._n you_o may_v go_v to_o work_v diverse_a way_n as_o yoâ_n think_v best_a for_o your_o own_o capacity_n have_v raise_v thâ_n pole_n of_o each_o globe_n according_a to_o one_o and_o the_o same_o elevation_n set_v the_o globe_n so_o one_o by_o the_o other_o that_o the_o eaâpoint_v of_o the_o one_o may_v join_v with_o the_o west_n point_n of_o thâ_n other_o or_o that_o the_o south_n point_v of_o their_o horizon_n maâ_n close_o and_o join_v direct_o all_o together_o or_o which_o ãâã_d take_v to_o be_v better_a their_o northern_a 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 âo_o the_o west_n side_n of_o the_o other_o for_o of_o they_o that_o be_v pecuâatly_o call_v perieci_n the_o one_o see_v the_o sun_n and_o star_n âetting_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 oâher_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 oâher_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 ãâã_d understand_v it_o the_o better_a proceed_v now_o i_o pray_v you_o in_o âhat_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 âr_n south_n part_n of_o the_o earth_n may_v have_v the_o same_o latitude_n âut_v diverse_a longitude_n so_o again_o some_o may_v have_v the_o ââme_n longitude_n but_o diverse_a latitude_n as_o they_o here_o in_o engâând_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 âhe_n west_n side_n of_o africa_n yet_o do_v they_o all_o differ_v in_o longitude_n âhese_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 âther_n thing_n they_o differ_v as_o they_o dwell_v near_o or_o further_a âom_n the_o pole_n or_o near_o or_o further_o from_o the_o equator_fw-la âhey_n that_o dwell_v near_o the_o equator_fw-la have_v the_o sun_n alâaies_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
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 aâabia_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 âs_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 aâabia_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 âhall_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 eaââ_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 ãâã_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 whiââ_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 ãâã_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 aâgustine_n or_o lactantius_n who_o have_v stout_o deny_v tââ_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 âe_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 âoint_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 ââe_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 ânder_o the_o equinoctial_a if_o the_o heaven_n move_v to_o the_o one_o ââom_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 âther_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 ãâã_d the_o day_n or_o night_n increase_v to_o the_o one_o it_o decrease_v to_o âhe_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 ânder_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
many_o as_o dwell_v within_o the_o obliquity_n thereof_o between_o tropic_n and_o tropic_n must_v needs_o see_v the_o sun_n in_o their_o zenith_n the_o rest_n from_o either_o tropic_n to_o each_o pole_n never_o have_v the_o sun_n in_o their_o zenith_n p._n how_o often_o may_v the_o sun_n be_v in_o the_o zenith_n m._n not_o above_o twice_o to_o any_o nation_n and_o to_o some_o but_o once_o as_o many_o as_o have_v their_o latitude_n equal_a to_o the_o great_a declination_n of_o the_o sun_n they_o never_o see_v the_o sun_n in_o their_o zenith_n but_o once_o such_o be_v all_o they_o that_o dwell_v just_a under_o the_o tropicke_n but_o as_o many_o as_o dwell_v within_o the_o two_o tropicke_n have_v the_o sun_n perpendicular_a over_o their_o head_n twice_o in_o the_o year_n namely_o at_o that_o time_n when_o the_o declination_n of_o the_o sun_n and_o the_o latitude_n of_o the_o place_n be_v equal_a one_o to_o the_o other_o for_o then_o the_o sun_n decline_v from_o the_o equator_fw-la come_v to_o their_o zennith_n and_o pass_v beyond_o it_o to_o the_o tropic_n and_o descendinge_v from_o the_o tropic_n he_o cross_v their_o vertical_a point_n again_o p._n then_o in_o seek_v out_o the_o declination_n of_o the_o sun_n &_o the_o latitude_n of_o any_o place_n i_o shall_v not_o only_o know_v whether_o the_o sun_n come_v to_o the_o zenith_n of_o the_o say_a place_n but_o also_o at_o what_o time_n he_o come_v thither_o m._n you_o say_v well_o for_o if_o the_o declination_n of_o the_o sun_n &_o the_o latitude_n of_o the_o place_n either_o be_v or_o may_v be_v equal_a then_o will_v the_o sun_n pass_v by_o the_o zenith_n but_o if_o the_o latitude_n be_v great_a than_o the_o declination_n of_o the_o sun_n may_v be_v the_o sun_n never_o come_v to_o the_o zenith_n again_o when_o the_o sun_n possess_v any_o degree_n of_o the_o ecliptic_n have_v a_o declination_n equal_a unto_o the_o latitude_n of_o the_o place_n assign_v that_o day_n will_v he_o cross_v the_o vertical_a point_n of_o the_o say_a place_n p._n if_o the_o sun_n be_v not_o in_o the_o zenith_n how_o shall_v i_o know_v his_o distance_n from_o it_o by_o the_o globe_n m._n seek_v out_o in_o the_o meridian_n the_o declination_n of_o the_o sun_n and_o there_o make_v a_o mark_n seek_v out_o also_o the_o latitude_n of_o the_o place_n assign_v there_o also_o make_v a_o mark_n the_o degree_n of_o the_o meridian_n intercept_v between_o the_o two_o mark_n express_v the_o distance_n of_o the_o sun_n from_o the_o zenith_n so_o shall_v you_o find_v the_o sun_n in_o cancer_n to_o be_v distant_a from_o our_o zenith_n here_o at_o london_n 28._o degree_n but_o be_v in_o capricorn_n he_o be_v distant_a from_o it_o 75._o degree_n if_o you_o desire_v to_o know_v this_o by_o rule_n the_o rule_n be_v the_o place_n assign_v be_v without_o the_o tropicke_n and_o the_o sun_n decline_v towards_o the_o pole_n elevate_v the_o declination_n of_o the_o sun_n take_v from_o the_o latitude_n geve_v his_o distance_n from_o the_o zenith_n as_o 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the_o horizon_n subduct_v the_o lesser_a from_o the_o great_a the_o remainder_n convert_v into_o hour_n and_o minute_n if_o need_v require_v express_v the_o ascension_n of_o the_o sign_n propound_v by_o the_o hour_n circle_v the_o length_n of_o time_n wherein_o any_o sign_n arise_v be_v thus_o seek_v out_o bring_v the_o head_n of_o any_o sign_n to_o the_o east_n side_n of_o the_o horizon_n set_v the_o index_n upon_o 12._o a_o clock_n move_v the_o globe_n west_n ward_n until_o the_o end_n of_o the_o say_a sign_n come_v to_o the_o horizon_n the_o index_n in_o the_o hour_n circle_n will_v express_v the_o length_n of_o time_n wherein_o the_o sign_n do_v arise_v these_o be_v the_o chief_a question_n move_v concern_v those_o thing_n which_o happen_v under_o the_o horizon_n p._n i_o pray_v you_o have_v the_o circle_n of_o position_n no_o other_o use_n then_o to_o rectify_v a_o figure_n m._n yes_o for_o it_o find_v that_o circle_n whereof_o it_o receave_v his_o name_n that_o be_v the_o circle_n of_o position_n which_o be_v but_o a_o great_a circle_n draw_v from_o the_o one_o intersection_n of_o the_o horizon_n and_o meridian_n unto_o the_o other_o through_o the_o centre_n of_o some_o star_n or_o any_o point_n else_o assign_v in_o the_o heaven_n divide_v the_o sphere_n into_o 2._o piece_n by_o it_o in_o erect_v of_o the_o 12._o house_n we_o find_v what_o notable_a star_n or_o what_o planet_n be_v in_o any_o of_o the_o house_n the_o distance_n of_o any_o circle_n of_o position_n from_o the_o meridian_n be_v find_v thus_o the_o circle_n of_o position_n be_v raise_v from_o the_o horizon_n unto_o any_o point_n assign_v in_o the_o globe_n move_v the_o quadrant_a of_o altitude_n fix_v to_o the_o zenith_n to_o the_o east_n or_o west_n point_n of_o the_o horizon_n as_o occasion_n require_v the_o degree_n of_o the_o quadrant_a contain_v between_o the_o say_a circle_n of_o position_n &_o the_o meridian_n express_v the_o quantity_n of_o the_o angle_n which_o it_o make_v each_o 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