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not_o unproper_o for_o that_o as_o a_o girdle_n do_v gird_v or_o divide_v our_o body_n into_o two_o equal_a half_n even_o so_o this_o circle_n devide_v the_o sphere_n or_o first_o mover_n by_o the_o middle_n 4_o it_o be_v name_v the_o line_n of_o the_o equality_n of_o the_o day_n or_o the_o line_n of_o the_o equation_n of_o the_o orb_n of_o the_o day_n or_o the_o just_a division_n of_o the_o day_n and_o night_n 5_o of_o pliny_n it_o be_v name_v the_o centre_n of_o the_o earth_n and_o that_o not_o incongruent_o see_v all_o the_o parallel_n circle_n describe_v from_o the_o centre_n of_o the_o sun_n by_o the_o motion_n of_o the_o first_o mover_n have_v their_o centre_n from_o the_o centre_n of_o the_o earth_n and_o that_o the_o equatour_n only_o which_o when_o the_o sun_n shall_v be_v in_o the_o
cancer_n scorpio_n and_o pisces_fw-la which_o be_v distant_a by_o the_o space_n of_o four_o sign_n and_o be_v in_o quality_n cold_a and_o moist_a watery_a phlegmatic_a and_o feminine_a all_o which_o sign_n be_v agree_v to_o the_o four_o element_n in_o their_o quality_n of_o the_o ecclipticke_a line_n or_o way_n of_o the_o sun_n here_o it_o be_v diligent_o to_o be_v consider_v and_o note_v that_o it_o behove_v not_o only_o to_o know_v and_o understand_v the_o place_n of_o the_o planet_n in_o the_o zodiac_n according_a to_o the_o longitude_n of_o the_o same_o but_o also_o to_o learn_v and_o find_v their_o place_n according_a to_o latitude_n whether_o they_o be_v in_o that_o part_n of_o the_o zodiac_n which_o bend_v or_o decline_v into_o the_o north_n or_o in_o that_o part_n which_o lean_v into_o the_o south_n which_o the_o better_a to_o understand_v and_o know_v the_o ancient_a astronomer_n imagine_v a_o certain_a line_n go_v round_o about_o the_o zodiac_n and_o devide_v the_o same_o after_o length_n by_o the_o middle_n in_o such_o sort_n that_o it_o part_v and_o leave_v eight_o degree_n towards_o the_o north_n &_o as_o many_o towards_o the_o south_n so_o that_o this_o line_n be_v a_o great_a circle_n devide_v the_o latitude_n of_o the_o zodiac_n into_o twoe_o equal_a half_n and_o have_v sundry_a name_n as_o the_o sun_n way_n the_o sun_n â—yrâ—uite_o the_o sun_n journey_n the_o sun_n place_n the_o sun_n circle_n the_o ecclipticke_a line_n and_o the_o ecclipticke_a place_n this_o line_n name_v the_o sun_n way_n in_o that_o the_o sun_n keep_v always_o the_o middle_n under_o this_o line_n not_o digress_v to_o the_o one_o side_n nor_o other_o but_o describe_v the_o same_o in_o his_o yearly_a motion_n but_o the_o other_o planet_n do_v wander_v one_o while_o under_o it_o and_o a_o other_o while_n on_o either_o â—oe_n which_o if_o a_o planet_n tend_v in_o that_o part_n of_o the_o latitude_n which_o be_v unto_o the_o north_n wander_v there_o he_o be_v then_o name_v to_o 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but_o when_o the_o sun_n and_o moon_n be_v linal_o under_o that_o line_n or_o near_o come_v unto_o the_o moon_n as_o in_o the_o same_o degree_n right_a against_o for_o in_o the_o same_o degree_n at_o the_o change_n be_v the_o moon_n come_v right_a between_o our_o sight_n and_o the_o sun_n body_n thereby_o abate_v his_o light_n but_o the_o eclipse_n of_o the_o moon_n happen_v at_o the_o full_a when_o as_o the_o sun_n be_v right_a against_o the_o moon_n &_o that_o the_o shadow_n of_o the_o earth_n fall_v between_o both_o whereby_o the_o moon_n light_n be_v darken_v so_o that_o the_o moon_n eclipse_n be_v none_o other_o than_o the_o fall_n of_o the_o earth_n shadow_n between_o the_o sun_n and_o moon_n the_o measure_n of_o the_o large_a space_n of_o either_o side_n occupy_v by_o the_o planet_n limit_v and_o include_v by_o twoe_o line_n and_o the_o three_o draw_v or_o describe_v by_o the_o middle_n be_v name_v the_o ecclipticke_a line_n and_o sun_n place_n the_o eccliptick_a line_n be_v a_o great_a circle_n consist_v in_o the_o middle_n of_o the_o zodiac_n and_o devide_v it_o into_o twoe_o equal_a compass_n define_v to_o be_v eight_o degree_n in_o breadth_n on_o either_o side_n which_o the_o sun_n make_v by_o a_o yearly_a motion_n go_v thwart_o in_o one_o continual_a way_n be_v divide_v by_o the_o four_o principal_a point_n as_o the_o two_o equinoctial_o and_o the_o solstice_n into_o four_o quarter_n for_o as_o the_o whole_a zodiac_n even_o so_o the_o eccliptick_a to_o the_o equatour_n rest_v as_o it_o be_v in_o two_o only_a point_n but_o in_o the_o rest_n of_o the_o circle_n it_o bend_v â—â—om_o either_o point_n towards_o the_o opposite_a pole_n of_o the_o world_n decline_v by_o the_o one_o half_a circle_n into_o the_o north_n and_o by_o the_o other_o half_n into_o the_o south_n the_o point_n that_o touch_v be_v the_o equinoctial_a as_o we_o have_v above_o write_v but_o the_o other_o two_o further_a distant_a from_o the_o equatoure_n which_o be_v as_o mark_n or_o bound_n for_o the_o sun_n departure_n that_o when_o he_o come_v to_o the_o one_o he_o be_v carry_v no_o further_o but_o stay_v there_o and_o from_o thence_o draw_v unto_o the_o contrary_n bind_v through_o which_o turn_v back_o of_o the_o sun_n they_o be_v name_v the_o tropicke_n of_o the_o greek_n and_o of_o the_o latin_n the_o solsticiall_a point_n not_o for_o that_o the_o sun_n be_v carry_v unto_o they_o stay_v and_o remain_v any_o space_n but_o never_o rest_v nor_o leave_v of_o his_o course_n see_v within_o certain_a day_n the_o meridiane_a or_o noon_n shadow_n be_v vary_v the_o day_n &_o night_n space_n either_o lengthen_v and_o increase_v or_o decrease_v and_o shorten_v notable_o as_o the_o like_a be_v yearly_a see_v of_o these_o that_o which_o in_o the_o northerly_a half_a circle_n be_v further_a distant_a from_o the_o equatoure_n name_v the_o point_n of_o the_o summer_n solstice_n the_o other_o stand_v or_o be_v right_o against_o that_o the_o point_n of_o the_o winter_n solstice_n these_o point_n change_v their_o place_n two_o manner_n of_o way_n as_o well_o according_a to_o length_n of_o the_o zodiac_n by_o creep_v further_o in_o the_o before_o go_v as_o in_o go_v to_o and_o come_v short_a unto_o the_o equatoure_n first_o that_o the_o equinoctial_a point_n do_v over_o go_v the_o place_n of_o the_o fix_a star_n against_o the_o order_n and_o course_n of_o the_o sign_n and_o therefore_o do_v the_o day_n of_o the_o solstice_n begin_v and_o go_v before_o for_o the_o summer_n solstice_n about_o the_o begin_n of_o olimpias_n the_o first_o day_n of_o july_n which_o begin_v the_o year_n with_o the_o greek_n at_o the_o morning_n rise_v of_o that_o constellation_n syrius_n be_v notable_o know_v to_o many_o but_o in_o the_o year_n of_o christ_n birth_n it_o happen_v in_o the_o 24._o day_n of_o june_n and_o in_o the_o year_n 1570._o it_o happen_v in_o the_o 12._o day_n of_o june_n about_o 11._o of_o the_o clock_n before_o noon_n the_o winter_n solstice_n in_o the_o first_o beginning_n of_o olympias_n happen_v the_o first_o day_n of_o january_n or_o there_o about_o in_o the_o year_n of_o christ_n birth_n it_o happen_v the_o 15._o day_n of_o decmber_n in_o which_o day_n at_o the_o hour_n of_o 12._o in_o the_o night_n they_o affirm_v our_o saviour_n to_o be_v bear_v the_o same_o winter_n solstice_n happen_v in_o the_o same_o year_n 1570._o on_o the_o 12._o day_n of_o december_n about_o 2._o of_o the_o clock_n at_o after_o noon_n in_o the_o second_o then_o happen_v unto_o the_o equatoure_n by_o the_o ecclipticke_a as_o it_o be_v wind_v and_o remove_v again_o in_o the_o same_o depart_n for_o the_o observation_n of_o many_o time_n do_v witness_v that_o the_o arcke_n of_o the_o colour_n of_o the_o solstice_n reach_v to_o these_o point_n and_o equatoure_n which_o they_o name_v the_o sun_n great_a thwartnesse_n or_o declination_n be_v deminish_v by_o little_a &_o little_a for_o before_o ptholomies_n time_n by_o forty_o year_n aristarchus_n samius_n find_v the_o same_o to_o be_v of_o 23._o degree_n 52._o minute_n and_o 20._o second_n and_o ptolemy_n note_v that_o he_o find_v it_o to_o be_v just_a much_o mahomates_n aratensir_fw-fr which_o be_v after_o ptolemy_n 749._o year_n find_v this_o declination_n to_o be_v of_o 23._o degree_n and_o 35._o minute_n arzahell_n the_o spaniard_n that_o be_v 190._o year_n after_o albategnius_n find_v it_o to_o be_v of_o 23._o degree_n and_o 34._o minute_n prophatius_fw-la judius_fw-la which_o be_v 230._o year_n after_o arzahell_n find_v this_o declination_n to_o be_v of_o 23._o degree_n and_o â—2_n minute_n dominicus_n maria_n be_v in_o the_o year_n of_o christ_n 1491._o find_v this_o declination_n to_o be_v of_o 23._o degree_n and_o 29._o minute_n vueruerus_n be_v
the_o top_n or_o high_a place_n over_o the_o head_n be_v join_v together_o in_o the_o centre_n of_o the_o earth_n and_o the_o foot_n be_v those_o parallel_n of_o the_o ecclipticke_a end_v the_o swath_n which_o may_v worthy_o be_v call_v a_o solid_a zodiac_n further_o a_o sign_n in_o the_o fifte_a manner_n be_v a_o portion_n of_o the_o spherical_a upper_a face_n enclose_v between_o two_o half_a circle_n end_v at_o the_o pole_n of_o the_o ecclipticke_a to_o conclude_v a_o sign_n in_o the_o sixth_o manner_n be_v mente_fw-la a_o solyde_a devider_n of_o the_o sphere_n contain_v in_o the_o say_v half_a circle_n and_o spherical_a upper_a face_n which_o be_v a_o sign_n understand_v in_o the_o five_o manner_n these_o diverse_a division_n serve_v as_o they_o write_v unto_o that_o end_n whereby_o all_o thing_n may_v be_v enclose_v within_o the_o sign_n for_o if_o sign_n be_v describe_v in_o the_o first_o manner_n then_o on_o such_o wise_a those_o star_n only_o and_o those_o point_n be_v say_v to_o be_v in_o the_o sign_n whatsoever_o shall_v be_v in_o that_o cyrcumference_n of_o the_o ecclipticke_a and_o in_o the_o first_o signification_n also_o be_v mean_v to_o be_v under_o the_o ecclipticke_a which_o agree_v only_o to_o the_o sun_n as_o at_o this_o day_n the_o sun_n be_v be_v the_o 23._o day_n of_o august_n in_o the_o 9_o degree_n and_o 9_o minute_n of_o virgo_fw-la at_o noon_n which_o be_v mean_v to_o be_v under_o that_o part_n of_o the_o eccliptick_a that_o be_v name_v the_o 9_o degree_n of_o virgo_fw-la if_o in_o the_o second_o manner_n planet_n shall_v be_v in_o sign_n which_o do_v not_o excee_v six_o degree_n of_o latitude_n or_o thus_o in_o the_o second_o signification_n to_o be_v under_o the_o zodiac_n be_v monte_fw-fr that_o here_o a_o sign_n be_v express_v enclose_v within_o a_o square_a pinnacle_n portion_n this_o signification_n agree_v to_o the_o other_o planet_n except_o the_o sun_n which_o decline_v from_o the_o ecclipticke_a as_o mars_n in_o this_o year_n 1599_o be_v in_o the_o 15._o degree_n of_o virgo_fw-la which_o be_v under_o that_o part_n of_o the_o zodiac_n that_o be_v say_v to_o be_v the_o 15._o of_o virgo_fw-la also_o he_o have_v a_o latitude_n northerly_a of_o two_o degree_n and_o 28._o minute_n if_o in_o the_o third_o manner_n the_o sun_n or_o any_o star_n shall_v be_v in_o sign_n place_v in_o the_o plain_a of_o the_o eccliptick_a or_o in_o the_o three_o signification_n to_o be_v in_o a_o sign_n signify_v to_o be_v refer_v unto_o any_o sign_n of_o the_o zodiac_n for_o the_o whole_a heaven_n be_v divide_v into_o twelve_o region_n in_o circle_n pass_v by_o the_o beginning_n of_o the_o sign_n and_o pole_n of_o the_o zodiac_n of_o which_o region_n each_o be_v name_v a_o sign_n and_o this_o signification_n agree_v to_o the_o star_n stand_v without_o the_o zodiac_n as_o the_o northerly_a crown_n which_o in_o our_o time_n be_v in_o scorpio_n and_o refer_v unto_o the_o sign_n of_o the_o zodiac_n that_o be_v call_v scorpio_n in_o that_o it_o be_v between_o those_o twoe_o half_a circle_n which_o pass_v by_o the_o beginning_n and_o end_n of_o scorpio_n if_o in_o the_o four_o manner_n the_o planet_n and_o star_n also_o not_o further_o distant_a than_o six_o degree_n from_o the_o ecclipticke_a or_o in_o the_o four_o signification_n be_v mean_v or_o refer_v unto_o any_o of_o the_o twelve_o region_n of_o heaven_n into_o which_o heaven_n by_o those_o six_o circle_n which_o pass_v by_o the_o beginning_n of_o the_o sign_n and_o pole_n of_o the_o zodiac_n as_o be_v afore_o write_v be_v divide_v this_o signification_n agree_v to_o those_o which_o be_v in_o the_o air_n as_o be_v the_o comet_n as_o if_o i_o write_v that_o a_o comet_n be_v in_o leo_n here_o i_o mean_v the_o six_o circle_n pass_v by_o the_o pole_n of_o the_o zodiac_n and_o beginning_n of_o the_o sign_n devide_v both_o heaven_n and_o the_o whole_a nether_a region_n of_o the_o world_n into_o twelve_o equal_a part_n so_o that_o a_o comet_n be_v say_v to_o be_v 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impediment_n although_o the_o horizont_n the_o meridiane_a the_o uerticiall_a and_o other_o circle_n in_o respect_n of_o the_o habitation_n or_o dwell_v place_n remain_v immovable_a in_o that_o upper_a face_n of_o the_o first_o mover_n yet_o do_v it_o nothing_o hinder_v although_o heaven_n or_o the_o first_o mover_n be_v draw_v about_o that_o such_o circle_n be_v imagine_v to_o be_v immovable_a for_o there_o be_v nothing_o more_o agreeable_a then_o to_o imagine_v circle_n fix_v and_o those_o abide_n in_o any_o upper_a face_n of_o the_o earth_n so_o that_o it_o be_v necessary_a that_o the_o zodiac_n the_o equatoure_n and_o the_o other_o circle_n be_v describe_v movable_a in_o the_o hollow_a face_n of_o the_o first_o mover_n as_o the_o bound_n and_o enclosure_n of_o the_o whole_a world_n the_o horizont_n and_o meridiane_a and_o the_o other_o placed_z immovable_a in_o that_o hollow_a and_o fix_a upper_a face_n in_o which_o the_o whole_a earth_n be_v place_v by_o this_o mean_v the_o fix_a circle_n shall_v stay_v in_o the_o fix_a upper_a face_n and_o the_o movable_a circle_n shall_v be_v draw_v about_o with_o the_o movable_a as_o in_o a_o material_a instrument_n and_o solid_a sphere_n a_o man_n may_v see_v in_o which_o the_o zodiac_n the_o equatoure_n and_o other_o movable_a circle_n be_v draw_v about_o upon_o the_o exetrée_n between_o the_o two_o circle_n remain_v steady_a of_o which_o the_o one_o represent_v the_o horizont_n the_o other_o the_o meridian_n whether_o the_o same_o may_v be_v describe_v in_o the_o hollow_a or_o in_o the_o emboss_n of_o the_o first_o mover_n of_o the_o say_a cyrcumference_n it_o be_v little_a or_o nothing_o regard_v yet_o consider_v this_o that_o all_o man_n may_v behold_v and_o see_v within_o the_o heaven_n or_o first_o mover_n the_o hollow_a upper_a face_n of_o his_o enclosure_n to_o describe_v and_o imagine_v the_o circle_n in_o the_o same_o the_o circle_n place_v without_o the_o material_a instrument_n must_v of_o necessity_n force_v a_o man_n to_o describe_v the_o cyrcumference_n of_o the_o circle_n in_o that_o outward_a face_n of_o the_o instrument_n to_o conclude_v the_o zodiac_n be_v mean_v and_o describe_v according_a to_o his_o definition_n be_v a_o great_a circle_n who_o cyrcumference_n in_o the_o hollow_a of_o the_o first_o mover_n describe_v into_o sign_n degree_n and_o minute_n as_o be_v afore_o write_v be_v divide_v and_o see_v that_o circle_n describe_v by_o the_o sun_n yearly_a motion_n be_v imagine_v straight_o draw_v and_o define_v or_o determine_v from_o the_o centre_n of_o the_o sun_n course_n by_o the_o centre_n of_o the_o sun_n which_o with_o the_o sun_n be_v draw_v by_o a_o perfect_a revolution_n towards_o the_o east_n for_o this_o line_n in_o that_o motion_n cut_v the_o hollow_a upper_a face_n of_o the_o first_o mover_n do_v describe_v the_o cyrcumference_n of_o the_o zdiacke_n so_o that_o if_o the_o plain_a upper_a face_n of_o the_o sun_n course_n be_v extend_v until_o it_o cut_v the_o foresay_a hollow_a upper_a face_n which_o common_a section_n or_o cut_n shall_v be_v the_o self_n same_o cyrcumference_n of_o the_o zodiac_n unto_o which_o the_o place_n of_o the_o force_n and_o virtue_n of_o any_o star_n be_v apply_v therefore_o by_o the_o same_o mean_v that_o virtue_n of_o the_o moon_n or_o any_o of_o the_o planet_n draw_v in_o the_o same_o hollow_a of_o the_o upper_a heaven_n shall_v be_v like_o the_o same_o describe_v according_v to_o the_o diverse_a elevation_n of_o the_o pole_n whereof_o the_o colour_n be_v call_v unperfect_a circle_n there_o be_v two_o manner_n of_o colour_n as_o the_o colour_n of_o the_o solstice_n and_o colour_n of_o the_o equinoctial_o these_o two_o great_a circle_n be_v draw_v by_o the_o pole_n of_o the_o world_n of_o which_o the_o one_o go_v by_o the_o pole_n
of_o the_o zodiac_n and_o the_o other_o by_o the_o section_n of_o the_o zodiac_n and_o equatoure_n that_o which_o pass_v by_o the_o pole_n of_o the_o equatour_n and_o zodiac_n do_v divide_v in_o two_o part_n each_o half_a circle_n as_o well_o of_o the_o equatour_n as_o the_o zodiac_n therefore_o the_o one_o condition_n of_o the_o colour_n go_v by_o the_o solsticiall_a point_n of_o the_o zodiac_n which_o be_v the_o beginning_n of_o cancer_n and_o capricorn_n and_o the_o further_a point_n from_o the_o equatour_n whereof_o it_o be_v name_v the_o solsticiall_a colour_n the_o other_o be_v name_v the_o equinoctial_a colour_n see_v it_o enter_v by_o the_o say_v equinoctial_a section_n which_o be_v the_o beginning_n of_o aries_n and_o libra_n that_o be_v the_o equinoctial_a point_n so_o that_o these_o colour_n divide_v aswell_o the_o equinoctial_a as_o the_o zodiac_n into_o four_o quarter_n in_o that_o they_o go_v by_o the_o four_o principal_a point_n of_o they_o the_o colour_n general_o be_v call_v all_o the_o great_a circle_n draw_v by_o the_o pole_n of_o the_o world_n which_o take_v their_o name_n thereof_o insomuch_o as_o they_o never_o be_v discern_v or_o see_v whole_a in_o the_o turn_n about_o of_o the_o world_n as_o the_o other_o circle_n but_o unperfect_a and_o lack_v for_o both_o the_o ark_n right_a against_o one_o another_o about_o the_o pole_n in_o the_o thwart_a sphere_n be_v not_o see_v both_o at_o once_o for_o they_o be_v either_o continual_o in_o sight_n to_o we_o and_o never_o draw_v away_o or_o hide_v like_o unto_o those_o which_o be_v near_o to_o the_o elevate_v pole_n or_o else_o they_o never_o appear_v in_o sight_n to_o we_o but_o be_v continual_o hide_v from_o we_o as_o those_o which_o be_v the_o opposite_n but_o the_o reach_a of_o the_o colour_n fasten_v in_o the_o two_o circle_n extend_v and_o pass_v by_o the_o four_o principal_a point_n of_o the_o ecclipticke_a as_o the_o equinoctial_o and_o solsticials_n which_o touch_v one_o another_o in_o the_o pole_n of_o the_o world_n do_v in_o their_o cyrcumference_n make_v right_a angle_n and_o part_v the_o zodiac_n and_o equatoure_n into_o four_o equal_a quarter_n the_o colour_n of_o the_o equinoctial_o rest_v in_o the_o equinoctial_a point_n the_o other_o contain_v the_o solstiticiall_a point_n be_v call_v the_o colour_n of_o the_o solstice_n the_o colour_n of_o the_o equinoctial_o be_v a_o great_a circle_n movable_a and_o every_o where_o alike_o draw_v by_o the_o pole_n of_o the_o world_n or_o equatour_n and_o the_o equinoctial_a point_n as_o the_o beginning_n of_o aries_n and_o libra_n make_v with_o the_o equatour_n right_o spherical_a angle_n with_o the_o zodiac_n thwart_o angle_n for_o oftentimes_o the_o great_a circle_n by_o a_o mutual_a touch_v together_o do_v make_v right_a angle_n in_o the_o sphere_n as_o they_o cut_v in_o two_o part_n or_o into_o equal_a half_a circle_n and_o by_o the_o pole_n one_o another_o and_o contrariwaise_v when_o they_o cut_v one_o another_o by_o the_o pole_n then_o do_v they_o form_v and_o make_v right_a angle_n with_o their_o cyrcumference_n and_o part_v one_o the_o other_o into_o equal_a part_n as_o write_v theodosius_n in_o his_o first_o book_n de_fw-fr sphera_fw-la and_o in_o propositi_fw-la 18._o 19_o 20._o and_o 21._o or_o thus_o the_o colour_n of_o the_o equinoctial_o which_o be_v name_v the_o equinoctial_a colour_n be_v a_o great_a circle_n pass_v by_o the_o pole_n of_o the_o world_n and_o the_o first_o point_n of_o aries_n &_o libra_n where_o the_o two_o equinoctial_a point_n be_v say_v to_o be_v in_o that_o the_o sun_n cause_v a_o like_a day_n and_o night_n in_o every_o place_n or_o for_o that_o these_o point_n be_v in_o the_o equator_fw-la whereof_o it_o be_v call_v the_o colour_n distinguish_v the_o equinoctial_o so_o that_o the_o two_o colour_n cross_v one_o another_o on_o the_o pole_n of_o the_o world_n at_o right_a spericall_a angle_n it_o be_v call_v the_o colour_n of_o the_o equinoctial_o for_o that_o it_o pass_v by_o the_o equinoctial_a point_n as_o by_o the_o beginning_n of_o aries_n &_o libra_n which_o they_o call_v the_o equinoctial_a point_n for_o that_o when_o the_o sun_n happen_v into_o either_o of_o they_o the_o day_n and_o night_n be_v of_o equal_a length_n throughout_o the_o earth_n which_o come_v to_o pass_v twice_o in_o the_o year_n as_o in_o the_o spring_n and_o harvest_n whereof_o the_o one_o be_v call_v the_o equinoctial_a spring_n and_o at_o this_o day_n be_v about_o the_o eleven_o of_o march_n which_o be_v the_o day_n before_o gregory_n the_o other_o the_o harvest_n spring_n and_o happen_v in_o our_o time_n the_o 14._o of_o september_n that_o be_v three_o day_n afore_o lambert_n whereof_o arise_v this_o ancient_a verse_n lampert_n gregori_n nox_fw-la est_fw-la aequata_fw-la diei_fw-la the_o colour_n of_o the_o solstice_n be_v a_o great_a circle_n movable_a and_o every_o where_o alike_o draw_v by_o the_o solsticiall_a point_n or_o the_o beginning_n of_o cancer_n &_o capricornus_fw-la and_o the_o pole_n of_o the_o zodiac_n and_o equatoure_n make_v right_o spherical_a angle_n with_o both_o for_o of_o both_o be_v the_o pole_n comprehend_v and_o according_a to_o theodosius_n propo_fw-it lib._n 2._o de_fw-fr spera_n that_o by_o any_o twoe_o circle_n cross_v one_o the_o other_o when_o a_o third_o devide_v the_o part_n of_o both_o equal_o and_o in_o two_o part_n the_o same_o be_v the_o great_a circle_n and_o pass_v by_o the_o pole_n of_o both_o but_o that_o which_o pass_v by_o the_o pole_n of_o the_o other_o circle_n do_v part_v it_o in_o two_o part_n and_o at_o right_a angle_n here_o may_v be_v demand_v why_o the_o other_o twoe_o be_v call_v the_o solsticiall_a point_n see_v the_o sun_n stay_v no_o where_o which_o be_v thus_o answer_v that_o the_o sun_n digress_v from_o either_o equinoctial_a point_n by_o his_o proper_a motion_n do_v daily_o depart_v from_o the_o equinoctial_a circle_n till_o he_o come_v unto_o the_o solstitial_a point_n where_o he_o be_v further_a distant_a from_o the_o equatoure_n but_o immediate_o after_o he_o begin_v to_o return_v and_o come_v again_o unto_o the_o equatour_n till_o he_o come_v unto_o the_o other_o equinoctial_a point_n so_o that_o the_o point_n of_o the_o sun_n further_a distance_n which_o be_v the_o begin_n of_o cancer_n or_o capricornus_fw-la and_o of_o the_o same_o call_v the_o solstice_n in_o that_o the_o sun_n stay_v there_o that_o be_v cease_v from_o his_o further_a go_v or_o departure_n and_o begin_v again_o to_o come_v to_o the_o equatoure_n for_o the_o sun_n after_o his_o come_n unto_o that_o point_n depart_v and_o come_v again_o to_o the_o equatour_n so_o that_o the_o end_n the_o departure_n and_o beginning_n of_o his_o come_n be_v the_o solstice_n therefore_o not_o for_o that_o the_o sun_n stay_v there_o be_v they_o call_v the_o solstice_n although_o about_o those_o point_n of_o the_o go_n and_o come_v of_o the_o sun_n it_o be_v so_o small_a that_o for_o four_o sire_n or_o more_o day_n after_o he_o seem_v in_o judgement_n as_o it_o be_v to_o stay_v in_o one_o declination_n and_o therefore_o for_o that_o cause_n may_v be_v name_v the_o solstitial_o these_o of_o sundry_a as_o of_o campanus_n be_v also_o call_v tropic_n point_n through_o the_o sun_n return_v and_o these_o may_v be_v call_v uerticiall_a or_o cardinal_a circle_n see_v they_o go_v by_o those_o top_n of_o the_o world_n and_o express_v or_o show_v the_o four_o quarter_n of_o the_o zodiac_n moreover_o see_v certain_a part_n of_o these_o circle_n be_v near_o the_o pole_n be_v hide_v and_o the_o other_o right_n against_o they_o nothing_o at_o all_o discern_v at_o any_o time_n therefore_o be_v it_o that_o they_o be_v call_v in_o greek_a kolouroi_n which_o be_v in_o english_a maim_v and_o unperfect_a as_o proclus_n diadochus_n mocrobius_fw-la and_o capella_n write_v but_o this_o agree_v not_o in_o the_o right_a horizont_n see_v there_o be_v no_o part_n of_o heaven_n which_o do_v always_o remain_v there_o hide_v but_o in_o the_o description_n of_o the_o astrolobie_n how_o large_a soever_o the_o same_o be_v yet_o only_o these_o circle_n appear_v continual_o unperfect_a yet_o further_o the_o colour_n of_o the_o solstice_n or_o the_o circle_n distinguish_v the_o solstice_n which_o also_o be_v call_v the_o solstitial_a circle_n be_v a_o great_a circle_n draw_v and_o pass_v by_o the_o pole_n of_o the_o world_n and_o zodiac_n and_o the_o great_a declination_n of_o the_o same_o and_o by_o the_o beginning_n of_o cancer_n and_o capricornus_fw-la it_o be_v call_v the_o colour_n of_o the_o solstice_n in_o that_o it_o pass_v by_o the_o solsticiall_a point_n as_o by_o the_o beginning_n of_o cancer_n and_o capricornus_fw-la which_o be_v name_v the_o solsticiall_a point_n for_o that_o in_o they_o the_o solstice_n be_v cause_v that_o be_v the_o sun_n come_v unto_o
the_o plain_a of_o the_o same_o the_o description_n name_n and_o office_n of_o the_o meridiane_a circle_n and_o horizont_a the_o four_o great_a circle_n which_o we_o have_v already_o describe_v that_o with_o the_o motion_n of_o the_o sphere_n be_v draw_v about_o and_o every_o where_o be_v alike_o which_o the_o other_o twoe_o circle_n be_v contrary_a as_o the_o meridiane_n and_o horizont_n that_o be_v not_o turn_v in_o the_o draw_v about_o of_o the_o sphere_n but_o remain_v as_o immovable_a and_o fix_v neither_o be_v they_o alike_o in_o all_o place_n but_o be_v continual_o change_v stand_v or_o place_v on_o the_o earth_n in_o that_o all_o place_n have_v their_o proper_a meridians_fw-la and_o horizont_v for_o both_o by_o a_o mutual_a touch_v and_o join_v together_o do_v make_v right_a angle_n and_o they_o continual_o divide_v the_o whole_a heaven_n into_o four_o equal_a part_n and_o make_v the_o four_o angle_n and_o quarter_n of_o heaven_n unto_o which_o by_o a_o continual_a turn_n about_o of_o heaven_n both_o the_o one_o and_o the_o other_o star_n as_o it_o be_v by_o a_o orderly_a succession_n draw_v work_n and_o send_v forth_o their_o virtue_n more_o effectuous_a and_o excercise_n their_o quality_n in_o the_o element_n then_o in_o any_o other_o place_n especial_o the_o sun_n be_v draw_v unto_o those_o bond_n for_o he_o both_o begin_v and_o end_v the_o day_n and_o night_n and_o distinguish_v they_o equal_o as_o it_o be_v in_o the_o middle_a parcel_n of_o time_n the_o sun_n also_o come_v unto_o the_o meridian_n do_v then_o more_o heat_n dry_v up_o and_o consume_v vapour_n the_o meridiane_a of_o any_o place_n be_v a_o great_a circle_n which_o go_v or_o reach_v by_o the_o pole_n of_o the_o world_n and_o height_n of_o any_o place_n and_o for_o that_o it_o pass_v by_o the_o pole_n of_o the_o equatour_n parallel_n and_o the_o horizont_n through_o the_o same_o do_v it_o make_v right_a angle_n with_o they_o and_o of_o this_o it_o devide_v all_o the_o ark_n of_o the_o parallel_n as_o well_o in_o sight_n as_o not_o in_o sight_n into_o two_o equal_a half_n this_o circle_n have_v sundry_a name_n for_o varro_n name_v it_o the_o meridian_n or_o midday_n circle_n of_o the_o noonestéed_n in_o that_o when_o the_o sun_n be_v in_o the_o meridian_n or_o any_o other_o star_n above_o the_o earth_n then_o have_v it_o perform_v half_o the_o day_n ark_n and_o be_v then_o at_o the_o bind_v of_o the_o noon_n time_n but_o the_o other_o half_n of_o the_o night_n be_v cause_v at_o the_o instant_a point_n of_o midnight_n the_o half_a then_o reach_v from_o east_n and_o west_n so_o that_o of_o the_o same_o this_o circle_n of_o all_o writer_n in_o this_o science_n name_v the_o meridiane_n but_o of_o ptolemy_n the_o circle_n of_o midday_n and_o middle_a heaven_n by_o the_o same_o reason_n the_o astrologian_n call_v this_o circle_n the_o royal_a cusp_n the_o regal_a quarter_n the_o beginning_n of_o the_o ten_o house_n and_o the_o middle_n of_o heaven_n in_o that_o this_o place_n be_v principal_a and_o of_o worthy_a dignity_n than_o the_o other_o quarter_n of_o which_o shall_v further_o be_v write_v in_o his_o proper_a place_n further_o it_o behove_v by_o the_o addition_n 31._o primi_fw-la theodosij_n that_o the_o equatâ—ure_n and_o horizont_a in_o the_o contrary_a manner_n to_o pass_v by_o the_o pole_n of_o the_o meridian_n &_o of_o the_o same_o that_o those_o pole_n be_v none_o otherwise_o place_v than_o in_o the_o common_a section_n of_o the_o equatour_n and_o horizont_n by_o which_o section_n &_o by_o those_o pole_n of_o the_o horizont_n be_v a_o certain_a third_o circle_n great_a draw_v which_o johannes_n a_o regio_n monte_fw-fr name_v the_o verticial_a circle_n so_o that_o by_o the_o foresay_a corolary_n or_o addition_n ensue_v that_o of_o these_o three_o circle_n of_o each_o exetrée_n and_o pole_n be_v they_o in_o that_o common_a section_n of_o the_o other_o two_o circle_n like_o as_o of_o the_o equinoctial_a and_o two_o colour_n by_o right_n may_v be_v conclude_v so_o that_o a_o triple_a division_n be_v cause_v by_o the_o three_o circle_n which_o appear_v on_o this_o wise_a that_o as_o the_o meridian_n tend_v by_o our_o top_n and_o height_n from_o the_o south_n into_o the_o north_n even_o so_o by_o the_o same_o top_n it_o behove_v the_o other_o circle_n to_o be_v draw_v and_o pass_v from_o the_o east_n into_o the_o west_n that_o both_o cut_v one_o the_o other_o at_o right_a angle_n shall_v express_v the_o four_o foresay_a quarter_n of_o the_o world_n as_o the_o horizont_n distinguish_v the_o upper_a half_a sphere_n from_o the_o nether_a and_o the_o meridiane_n from_o the_o east_n to_o the_o west_n even_o so_o it_o fall_v out_o that_o the_o third_o circle_n as_o that_o verticiall_a shall_v separate_v the_o northerly_a from_o the_o southerly_a half_a sphere_n to_o these_o while_o any_o stand_v upright_o towards_o the_o welt_n on_o such_o manner_n that_o you_o â—_o middle_n of_o his_o body_n be_v in_o the_o common_a centre_n of_o three_o circle_n then_o do_v the_o horizont_n divide_v his_o upper_a half_n from_o the_o nether_a and_o the_o meridiane_a the_o fore_a part_n from_o the_o hinder_a and_o the_o vertical_a circle_n the_o right_a part_n from_o the_o left_a the_o three_o common_a section_n of_o these_o circle_n be_v their_o exe-trée_n as_o be_v afore_o write_v do_v indicate_v or_o show_v the_o four_o principal_a point_n of_o heaven_n which_o be_v the_o fix_v pole_n of_o the_o circle_n place_v in_o the_o section_n of_o the_o cyrcumference_n as_o the_o high_a or_o low_a point_n which_o be_v the_o pole_n of_o the_o horizont_a the_o point_n also_o most_o easterly_a and_o westerly_a which_o be_v the_o pole_n of_o the_o meridiane_a to_o conclude_v the_o point_n most_o northerly_a and_o southerly_a which_o be_v the_o pole_n of_o the_o verticiall_a circle_n those_o people_n that_o seem_v to_o have_v their_o foot_n against_o we_o in_o respect_n of_o the_o roundness_n of_o the_o earth_n that_o they_o dwell_v as_o it_o be_v under_o we_o have_v alike_o horizont_a agreeable_a to_o we_o alike_o meridian_n and_o alike_o verticial_a circle_n but_o of_o these_o two_o the_o half_a circle_n which_o be_v extant_a to_o we_o be_v hide_v or_o as_o it_o be_v under_o they_o contrariwise_o those_o which_o be_v hide_v to_o we_o be_v to_o they_o extaunt_a the_o point_n also_o high_v to_o we_o be_v low_a to_o they_o contrariwise_o the_o low_a to_o we_o be_v high_a to_o they_o the_o figure_n afore_o place_v do_v plain_a express_v that_o afore_o teach_v where_o the_o letter_n a._n b._n c._n d._n represent_v the_o meridiane_a the_o letter_n b._n e._n d._n f._n the_o horizont_a the_o letter_n f._n a._n e._n c._n the_o vertical_a circle_n the_o letter_n g._n the_o centre_n of_o the_o circle_n and_o world_n the_o letter_n a._n c._n the_o exetrée_n of_o the_o horizont_n the_o letter_n b._n d._n the_o exetrée_n of_o the_o verticiall_a circle_n the_o letter_n e._n f._n the_o exetrée_n of_o the_o meridian_n to_o 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not_o the_o pole_n of_o the_o world_n in_o the_o horizont_n in_o who_o cyrcumference_n these_o four_o principal_a point_n of_o the_o east_n west_n north_n and_o south_n be_v accustom_v to_o be_v note_v be_v force_v to_o call_v that_o northerly_a section_n of_o the_o meridiane_a and_o horizont_a the_o most_o northerly_a point_n and_o that_o section_n right_a against_o the_o most_o southerly_a point_n for_o in_o every_o place_n there_o be_v two_o section_n which_o the_o meridiane_n and_o verticiall_a circle_n do_v make_v with_o the_o horizont_n which_o be_v two_o right_a section_n in_o the_o plain_a of_o that_o horizont_n cut_v at_o right_n angle_v one_o a_o other_o in_o the_o centre_n that_o express_a and_o show_v those_o four_o quarter_n of_o the_o world_n from_o which_o the_o principal_a wind_n blow_v as_o east_n west_n
north_n and_o south_n so_o that_o the_o foresay_a right_a section_n do_v part_v the_o horizont_n and_o cyrcumference_n of_o the_o same_o into_o four_o quarter_n the_o four_o principal_a wind_n of_o the_o common_a sort_n be_v thus_o call_v that_o which_o blow_v from_o the_o east_n the_o levant_n wind_n and_o that_o right_a against_o it_o the_o ponent_fw-la that_o from_o the_o north_n transmontanus_n and_o that_o right_a against_o it_o the_o meridional_a these_o four_o of_o late_a year_n they_o have_v divide_v into_o 32._o wind_n after_o the_o note_a line_n and_o point_n draw_v in_o the_o sailor_n card_n and_o other_o map_n every_o where_o to_o be_v see_v also_o the_o sailor_n compass_n do_v express_v so_o many_o wind_n direct_v by_o the_o adamant_n or_o lodestone_n which_o how_o the_o same_o do_v direct_a and_o show_v the_o wind_n need_v not_o here_o be_v show_v see_v the_o same_o be_v sufficient_o know_v to_o every_o sailor_n which_o by_o the_o guide_n of_o their_o compass_n direct_v their_o course_n in_o cloudy_a weather_n either_o by_o day_n or_o night_n in_o mark_v diligent_o the_o point_n of_o the_o compass_n how_o they_o coast_n to_o return_v unto_o the_o matter_n of_o the_o meridiane_a the_o diversity_n of_o meridianes_n be_v no_o otherwise_o cause_v than_o the_o swell_a of_o the_o earth_n as_o in_o the_o first_o part_n i_o have_v sufficient_o write_v the_o cause_n of_o which_o be_v that_o one_o like_o part_n of_o heaven_n can_v be_v the_o top_n or_o height_n of_o every_o place_n therefore_o one_o meridiane_n can_v serve_v all_o place_n but_o that_o in_o all_o place_n a_o proper_a meridiane_a be_v cause_v over_o the_o head_n the_o meridiane_n also_o be_v that_o which_o when_o the_o sun_n come_v unto_o the_o high_a over_o we_o foreshow_v by_o his_o work_n and_o heat_n the_o midday_n this_o meridiane_n be_v a_o great_a circle_n passing_z by_z y_z â—_o pole_n of_o the_o world_n and_o zenith_n or_o a_o direct_a point_n over_o the_o head_n abide_v immovable_a at_o the_o motion_n of_o the_o sphere_n this_o circle_n be_v differ_v to_o every_o city_n and_o people_n by_o reason_n of_o the_o east_n and_o west_n and_o be_v a_o proper_a meridiane_fw-la cause_v over_o the_o head_n for_o this_o be_v manifest_a that_o at_o the_o change_v of_o the_o verticiall_a point_n there_o be_v cause_v a_o other_o meridian_n through_o the_o swell_a and_o roundness_n of_o the_o earth_n also_o a_o man_n may_v of_o one_o meridian_n line_n describe_v many_o as_o write_v johannes_n a_o regio_fw-la monte_fw-fr for_o in_o that_o instant_n of_o the_o noonetide_n by_o let_v down_o right_a a_o plum_n line_n the_o shadow_n of_o the_o line_n cause_v a_o new_a meridiane_a line_n on_o the_o platform_n therefore_o these_o with_o the_o verticiall_a line_n in_o the_o the_o centre_n to_o the_o horizont_n cross_v one_o a_o other_o at_o right_a angle_n do_v indicate_v the_o four_o quarter_n of_o the_o world_n as_o the_o meridian_n line_n the_o north_n and_o south_n the_o verticial_a line_n the_o east_n and_o west_n the_o horizont_n form_v the_o quarter_n of_o the_o east_n and_o west_n of_o which_o the_o one_o be_v call_v the_o east_n rise_v or_o easterly_a quarter_n or_o end_n the_o other_o call_v the_o west_n set_v and_o quarter_n of_o the_o west_n the_o meridiane_a define_v the_o bound_n of_o the_o low_a and_o high_a of_o heaven_n and_o the_o quarter_n or_o middle_a motion_n of_o the_o day_n and_o night_n time_n of_o which_o that_o consist_v the_o upper_a half_a sphere_n be_v name_v the_o high_a place_n and_o middle_n of_o heaven_n the_o other_o which_o contain_v the_o low_a place_n right_a against_o it_o call_v the_o bothom_n or_o low_a of_o heaven_n the_o meridiane_a be_v a_o great_a circle_n immovable_a not_o one_o and_o the_o same_o every_o where_n but_o to_o every_o place_n peculiar_a and_o proper_a draw_v by_o the_o top_n of_o the_o place_n and_o pole_n of_o the_o world_n unto_o which_o the_o sun_n carry_v by_o the_o motion_n of_o the_o first_o mover_n do_v in_o the_o day_n time_n cause_n high_a noon_n and_o in_o the_o night_n time_n draw_v right_a against_o it_o cause_v midnight_n if_o this_o circle_n be_v movable_a like_o other_o then_o at_o the_o motion_n of_o the_o sphere_n will_v it_o depart_v from_o our_o zenith_n and_o so_o loose_a the_o name_n of_o the_o meridiane_a neither_o will_v it_o divide_v in_o proper_a place_n under_o it_o the_o artificial_a day_n into_o two_o equal_a part_n see_v by_o that_o motion_n the_o meridiane_a shall_v approach_v near_o to_o one_o part_n of_o the_o horizont_n then_o to_o the_o other_o part_n nor_o shall_v it_o stay_v the_o horizont_n at_o right_a angle_n of_o which_o it_o be_v number_v and_o account_v amongst_o the_o outward_a circle_n of_o the_o sphere_n the_o like_a affirm_v proclus_n write_v that_o the_o meridiane_a be_v none_o of_o those_o circle_n which_o be_v note_v and_o deck_v with_o star_n for_o the_o circle_n of_o the_o sphere_n be_v distinguish_v by_o star_n whereby_o those_o circle_n may_v more_o easy_o be_v know_v in_o heaven_n the_o meridiane_n be_v change_v by_o the_o continual_a change_v of_o place_n in_o the_o swell_a or_o emboss_v of_o the_o earth_n according_a to_o longitude_n for_o by_o go_v continual_o right_a forth_o towards_o the_o east_n and_o west_n it_o do_v purchase_v new_a meridianes_n as_o by_o go_v three_o mile_n forth_o then_o be_v a_o other_o point_n of_o heaven_n differ_v from_o the_o first_o over_o a_o man_n head_n and_o go_v further_o by_o four_o minute_n of_o a_o degree_n proclus_n affirm_v that_o 300._o furlong_n cause_v no_o sensible_a alteration_n to_o happen_v of_o the_o meridian_n and_o this_o be_v mean_v of_o those_o which_o be_v place_v under_o diverse_a meridianes_n and_o parallel_n for_o those_o which_o be_v place_v under_o one_o parallel_n and_o diverse_a meridianes_n perceive_v and_o see_v no_o alteration_n at_o all_o he_o which_o go_v straight_o from_o the_o north_n into_o the_o south_n or_o they_o which_o direct_o journey_n towards_o either_o of_o the_o pole_n of_o the_o world_n do_v continual_o travail_v under_o one_o meridiane_a in_o that_o all_o merdianes_n do_v go_v from_o one_o pole_n to_o another_o therefore_o no_o journey_n cause_v by_o this_o mean_v a_o other_o meridiane_n there_o be_v as_o many_o meridians_fw-la in_o number_n as_o there_o be_v difference_n of_o verticiall_a point_n right_a over_o diverse_a part_n of_o the_o earth_n in_o go_v towards_o the_o east_n and_o west_n the_o half_a of_o the_o equinoctial_a have_v 180._o degree_n whereof_o the_o cosmographer_n do_v assign_v and_o distinguish_v so_o many_o meridians_fw-la in_o such_o sort_n that_o each_o meridiane_a do_v pass_v by_o the_o twoe_o opposite_a degree_n of_o that_o equinoctial_a and_o pole_n of_o the_o world_n the_o longitude_n of_o a_o place_n be_v the_o arcke_n of_o the_o equinoctial_a circle_n or_o of_o any_o parallel_n contain_v between_o two_o meridianes_n of_o which_o the_o one_o lie_v over_o the_o fortunate_a 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be_v the_o ark_n of_o the_o meridian_n from_o the_o horizont_n unto_o the_o pole_n raise_v on_o high_a from_o the_o plain_a of_o the_o horizont_n the_o latitude_n of_o a_o place_n be_v the_o ark_n of_o the_o same_o meridian_n place_v between_o the_o equinoctial_a and_o verticiall_a point_n to_o conclude_v the_o latitude_n of_o a_o place_n and_o elevation_n of_o the_o pole_n do_v not_o differ_v in_o the_o magnitude_n or_o largeness_n but_o in_o stand_v only_o by_o the_o former_a figure_n appear_v that_o the_o ark_n of_o the_o longitude_n of_o place_n or_o city_n know_v be_v forthwith_o offer_v at_o the_o first_o sight_n as_o the_o ark_n e._n p._n or_o p._n o._n or_o o._n n._n etc._n etc._n and_o see_v the_o equatour_n be_v in_o compass_n about_o 360._o degree_n do_v whole_o ascend_v in_o 24._o hour_n above_o the_o horizont_n regular_o of_o this_o it_o come_v to_o pass_v while_o in_o each_o hour_n 15._o degree_n of_o the_o equatour_n do_v ascend_v that_o through_o the_o longitude_n of_o 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studious_a and_o skilful_a practisioner_n observe_v the_o latitude_n of_o place_n and_o the_o elevation_n of_o the_o pole_n not_o to_o differ_v in_o the_o quantity_n but_o in_o the_o stand_n only_o for_o the_o elevation_n of_o the_o pole_n be_v the_o ark_n of_o the_o meridiane_n from_o the_o horizont_n raise_v unto_o the_o pole_n the_o latitude_n of_o the_o place_n be_v the_o ark_n of_o the_o same_o meridian_n contain_v between_o the_o equatour_n and_o verticiall_a point_n so_o that_o it_o be_v manifest_a that_o these_o ark_n differ_v in_o the_o stand_n do_v agree_v in_o magnitude_n who_o verticiall_a point_n one_o meridiane_n contain_v but_o not_o one_o parallel_n by_o a_o equal_a space_n from_o the_o west_n be_v unequal_a distant_a from_o the_o equatour_n and_o be_v then_o say_v to_o differ_v in_o the_o latitude_n only_o contrariwise_o to_o who_o top_n one_o and_o the_o same_o parallel_n and_o not_o one_o meridian_n but_o each_o place_n proper_a those_o by_o like_a space_n from_o the_o equatour_n be_v distant_a by_o unlike_a space_n from_o the_o fortunate_a isle_n and_o be_v say_v to_o differ_v in_o the_o longitude_n only_o so_o that_o in_o both_o they_o be_v say_v to_o differ_v to_o who_o the_o parallel_n only_o serve_v and_o they_o to_o who_o the_o proper_a meridiane_n serve_v for_o they_o have_v their_o space_n unequal_a to_o either_o bind_v therefore_o the_o difference_n of_o latitude_n be_v the_o ark_n of_o the_o meridiane_n contain_v between_o the_o parallel_n of_o the_o two_o place_n distant_a from_o the_o equatour_n the_o quantity_n of_o the_o same_o be_v thus_o know_v if_o from_o the_o half_a equatour_n towards_o either_o pole_n of_o the_o place_n stand_v the_o lesser_a latitude_n of_o the_o near_o be_v abate_v from_o the_o great_a latitude_n more_o further_o off_o if_o from_o the_o half_a equatour_n the_o place_n be_v divide_v under_o that_o the_o one_o half_a lean_v into_o the_o north_n and_o the_o other_o into_o the_o south_n by_o the_o latitude_n of_o both_o join_v whether_o one_o or_o both_o lie_n under_o one_o meridian_n or_o diverse_a meridians_fw-la for_o it_o force_v not_o in_o the_o meridian_n of_o both_o that_o the_o latitude_n be_v join_v together_o see_v all_o meridians_fw-la be_v alike_o in_o the_o sphere_n the_o difference_n of_o the_o longitude_n be_v the_o ark_n of_o the_o equinoctial_a or_o parallel_n enclose_v between_o the_o meridiane_n of_o the_o twoe_o place_n distant_a from_o the_o fortunate_a isle_n and_o in_o themselves_o by_o which_o the_o longitude_n of_o one_o place_n exceed_v the_o longitude_n of_o another_o the_o same_o longitude_n be_v the_o arcke_n of_o the_o equinoctial_a see_v the_o place_n be_v under_o the_o equatour_n for_o in_o the_o only_a longitude_n the_o place_n the_o common_a parallel_n and_o top_n of_o both_o bend_a do_v differ_v in_o that_o the_o parallel_n from_o the_o equatour_n towards_o the_o opposite_a quarter_n of_o the_o equal_a parallel_n as_o place_n to_o which_o they_o be_v right_o over_o do_v likewise_o differ_v the_o meridians_fw-la as_o be_v afore_o declare_v be_v the_o great_a circle_n of_o the_o sphere_n of_o the_o world_n bend_a by_o the_o verticiall_a point_n of_o all_o place_n but_o draw_v to_o the_o equatoure_n as_o by_o the_o pole_n of_o which_o they_o pass_v unto_o right_a angle_n and_o by_o a_o mutual_a consent_n make_v angle_n in_o the_o pole_n of_o the_o world_n which_o the_o ark_n of_o the_o equatour_n be_v place_v between_o those_o meridians_fw-la be_v measure_v that_o by_o so_o much_o as_o a_o quarter_n of_o the_o circle_n they_o be_v distant_a from_o they_o even_o so_o the_o equatoure_n from_o his_o pole_n be_v on_o either_o part_n distant_a by_o a_o quarter_n of_o the_o great_a circle_n those_o ark_n do_v contain_v the_o difference_n of_o longitude_n by_o which_o one_o of_o the_o meridiane_n be_v further_a distant_a into_o the_o east_n than_o the_o other_o so_o that_o the_o angle_n unto_o the_o pole_n between_o the_o meridiane_n be_v right_o name_v the_o angle_n of_o the_o difference_n of_o longitude_n and_o by_o the_o ark_n of_o the_o equatour_n those_o also_o come_v into_o knowledge_n for_o there_o be_v a_o mutual_a relation_n between_o the_o angle_n and_o arke_v each_o one_o of_o they_o towards_o another_o which_o do_v measure_v the_o angle_n the_o latitude_n of_o place_n be_v the_o distance_n of_o the_o verticiall_a point_n from_o the_o equatour_n gather_v in_o the_o meridian_n if_o then_o from_o the_o whole_a quarter_n of_o the_o meridians_fw-la which_o to_o the_o equatoure_n and_o pole_n of_o the_o world_n towards_o which_o the_o place_n decline_v the_o equal_a arke_n be_v stretch_v to_o the_o latitude_n than_o the_o seat_n of_o the_o place_n give_v or_o the_o verticiall_a point_n of_o they_o shall_v be_v find_v and_o the_o other_o ark_n from_o these_o point_n unto_o the_o pole_n
understand_v of_o young_a student_n and_o practisioner_n in_o this_o manner_n first_o the_o side_n a._n b._n contain_v three_o space_n which_o multiply_v do_v bring_v forthê°_n the_o line_n b._n c._n comprehend_v 4._o distance_n which_o multiply_v do_v produce_v or_o bring_v for_o 16._o which_v two_o square_n conjoin_v do_v make_v 25_o &_o the_o square_n which_o proceed_v of_o the_o 5._o multiply_v which_o the_o line_n a._n c._n contain_v do_v they_o equate_v even_o so_o in_o the_o instruction_n of_o find_v the_o distance_n of_o place_n according_a to_o the_o three_o rule_n the_o difference_n of_o the_o longitude_n be_v represent_v by_o the_o line_n b._n c._n but_o the_o difference_n of_o the_o latitude_n by_o the_o line_n a._n b._n therefore_o as_o by_o the_o quantity_n know_v of_o the_o line_n a._n b._n and_o b_o c._n be_v the_o quantity_n of_o the_o line_n a_o c._n attain_v also_o by_o the_o difference_n of_o the_o longitude_n and_o the_o latitude_n of_o place_n know_v and_o those_o afore_o teach_v be_v multiply_v and_o increase_v the_o distance_n of_o they_o be_v easy_o know_v which_o by_o the_o line_n a_o c._n be_v represent_v and_o in_o the_o triangle_n and_o quadrate_n be_v the_o side_n but_o in_o the_o number_n name_v the_o root_n these_o hitherto_o for_o the_o knowledge_n of_o find_v the_o distance_n of_o place_n shall_v suffice_v the_o definition_n appellation_n division_n and_o office_n or_o utility_n of_o the_o horizont_n the_o horizont_n call_v the_o end_a and_o circle_n of_o the_o half_a sphere_n be_v the_o edge_n between_o the_o light_a part_n that_o stand_v for_o the_o same_o we_o see_v and_o the_o dark_a half_n that_o we_o can_v see_v of_o the_o sky_n the_o horizont_n as_o proclus_n write_v be_v a_o great_a circle_n immovable_a or_o fix_v not_o one_o and_o the_o same_o every_o where_n but_o to_o each_o place_n proper_a from_o the_o verticiall_a point_n and_o round_o about_o equal_o distant_a and_o devide_v the_o whole_a sphere_n of_o the_o world_n into_o two_o equal_a half_a sphere_n of_o which_o the_o one_o half_a appear_v in_o sight_n to_o we_o and_o the_o other_o half_o hide_v under_o the_o earth_n the_o description_n of_o the_o horizont_n do_v macrobius_n teach_v where_o he_o write_v that_o the_o horizont_n be_v after_o two_o condition_n the_o one_o extend_v on_o every_o side_n unto_o the_o firmament_n and_o serve_v peculiarly_a as_o it_o be_v for_o the_o division_n of_o heaven_n in_o devide_v just_o the_o sky_n into_o two_o half_n of_o which_o the_o one_o appear_v in_o sight_n to_o we_o above_o the_o proper_a horizont_n and_o the_o other_o hide_v under_o that_o horizont_n from_o us._n which_o horizont_n have_v his_o name_n of_o the_o sky_n and_o of_o the_o same_o call_v the_o celestial_a horizont_n who_o diameter_n after_o macrobius_n be_v as_o large_a as_o the_o diameter_n of_o the_o eight_o sphere_n which_o as_o he_o affirm_v be_v the_o further_a and_o high_a part_n of_o the_o sky_n that_o man_n can_v ready_o see_v and_o discern_v with_o the_o eye_n but_o the_o earthly_a horizont_n in_o that_o the_o same_o serve_v for_o the_o sight_n only_o of_o the_o earth_n and_o water_n and_o not_o stretch_v unto_o the_o firmament_n nor_o that_o his_o half_a diameter_n as_o macrobius_n write_v do_v exceed_v 180._o furlong_n which_o contain_v 22._o mile_n and_o ½_n so_o that_o the_o whole_a diameter_n after_o his_o account_n be_v but_o 45._o mile_n in_o length_n which_o if_o any_o man_n stand_v upon_o a_o even_a or_o plain_a ground_n orel_n on_o the_o sea_n may_v see_v round_o about_o he_o 22._o mile_n &_o a_o half_a every_o way_n which_o round_o compass_v of_o the_o whole_a horizont_n after_o macrobius_n do_v contain_v 141._o mile_n and_o 3_o 7._o part_n a_o comparison_n that_o as_o the_o meridian_n be_v a_o immovable_a circle_n even_o so_o be_v the_o horizone_n for_o if_o the_o same_o be_v movable_a it_o will_v not_o cross_v the_o meridian_n at_o right_a angle_n and_o unto_o these_o shall_v be_v imagine_v that_o if_o it_o be_v movable_a in_o each_o day_n the_o same_o will_v move_v with_o the_o meridian_n circle_n the_o appellation_n and_o diverse_a name_n of_o the_o horizont_n 1_o this_o circle_n be_v call_v the_o horizon_n as_o it_o be_v the_o circle_n devide_v the_o half_a sphere_n or_o of_o the_o greek_n word_n orizomai_n which_o in_o english_a signify_v to_o define_v determine_v and_o set_v out_o in_o that_o the_o same_o define_v the_o part_n of_o the_o world_n see_v or_o of_o oros_n or_o orion_n that_o be_v the_o bind_v or_o ender_v 2_o it_o be_v name_v also_o the_o girdle_n or_o the_o circle_n of_o rise_v 3_o macrobius_n call_v the_o horizone_n that_o bind_v of_o heaven_n that_o be_v see_v above_o the_o earth_n lib._n 1._o cap._n 15._o in_o that_o it_o be_v the_o end_n or_o bind_v separate_a the_o nether_a half_a sphere_n from_o the_o upper_a and_o of_o he_o also_o call_v the_o edge_n of_o the_o half_a sphere_n and_o alfragnus_n call_v it_o the_o circle_n of_o the_o half_a sphere_n 4_o the_o horizone_n also_o be_v so_o define_v of_o his_o office_n in_o that_o his_o office_n be_v to_o divide_v that_o part_n of_o the_o world_n in_o sight_n from_o that_o hide_v under_o the_o earth_n whereof_o it_o be_v not_o unworthy_o call_v the_o end_a see_v it_o permit_v nor_o suffer_v any_o to_o see_v but_o the_o half_a sphere_n at_o one_o time_n and_o therefore_o be_v call_v of_o some_o the_o circle_n of_o the_o half_a sphere_n as_o afore_o teach_v this_o circle_n be_v always_o understand_v to_o be_v describe_v by_o the_o verticiall_a point_n in_o that_o as_o the_o vertical_a point_n be_v change_v even_o so_o likewise_o be_v the_o horizone_n the_o horizone_n be_v divide_v after_o twoe_o sort_n first_o into_o a_o right_n and_o thwart_v second_o into_o a_o sensible_a and_o rational_a horizone_n the_o horizone_n of_o the_o right_a sphere_n be_v call_v right_a or_o right_o corner_a above_o which_o neither_o of_o the_o pole_n of_o the_o world_n be_v elevate_v which_o they_o have_v who_o zenith_n be_v under_o the_o equinoctial_a or_o dwell_v under_o the_o equinoctial_a their_o horizone_n be_v the_o circle_n draw_v by_o the_o pole_n of_o the_o world_n which_o devide_v aswell_o the_o meridian_n as_o the_o equatoure_n at_o right_a angle_n through_o which_o rightnesse_n it_o obtain_v that_o name_n that_o it_o be_v call_v the_o right_a horizone_n the_o sensible_a horizone_n be_v a_o space_n of_o the_o earth_n define_v by_o a_o compass_n round_o about_o which_o the_o sight_n of_o the_o eye_n attayn_v and_o comprehend_v in_o a_o plain_a and_o even_o field_n or_o thus_o the_o sensible_a horizone_n be_v that_o which_o the_o eye_n â—â—â—fectly_o see_v and_o describe_v according_a to_o the_o â—ounde_n of_o â—ight_n and_o call_v of_o some_o the_o artificial_a horizon_n and_o that_o foe_n the_o sâ—â—â—_n cause_n that_o which_o be_v contain_v by_o sight_n be_v by_o a_o certain_a similitude_n agree_v with_o the_o artificial_a day_n and_o as_o the_o artificial_a day_n be_v so_o name_v for_o that_o artificer_n do_v especial_o work_v in_o it_o even_o so_o the_o like_a be_v the_o horizone_n name_v artificial_a in_o that_o tower_n foretress_n and_o castle_n in_o time_n past_a be_v build_v like_o the_o horizone_n the_o diameter_n of_o this_o horizone_n after_o macrobius_n which_o near_o agree_v to_o a_o truth_n than_o either_o proclus_n or_o albertus_n as_o afore_o be_v teach_v be_v of_o 36._o furlong_n to_o which_o almost_o four_a german_a mile_n answer_v and_o 22._o english_a mile_n and_o so_o far_o on_o a_o plain_a and_o even_o ground_n not_o hinder_v by_o hill_n or_o thick_a mist_n may_v a_o man_n full_o see_v and_o in_o the_o same_o space_n the_o emboss_a round_n of_o the_o earth_n be_v without_o hill_n be_v increase_v and_o grow_v to_o 250._o feel_v or_o 125._o cubit_n so_o that_o this_o horizone_n be_v not_o sudden_o change_v nor_o in_o a_o short_a space_n therefore_o of_o necessity_n must_v ensue_v that_o those_o which_o be_v distant_a by_o a_o lesser_a space_n than_o 360._o furlong_n to_o see_v always_o some_o part_n of_o the_o earth_n common_a to_o both_o but_o those_o which_o be_v distant_a by_o many_o space_n do_v comprehend_v diverse_a compass_n by_o sight_n of_o the_o eye_n and_o diverse_a horizone_n the_o rational_a horizone_n be_v that_o which_o afore_o be_v describe_v that_o the_o same_o be_v a_o great_a circle_n lie_v by_o the_o edge_n of_o the_o earth_n and_o reach_v round_o about_o unto_o the_o sky_n and_o devide_v the_o celestial_a orb_n into_o two_o equal_a half_a sphere_n as_o the_o one_o half_a in_o sight_n and_o the_o other_o hide_v to_o us._n although_o the_o plain_a upper_a face_n of_o the_o horizone_n pass_v not_o by_o the_o centre_n of_o the_o earth_n yet_o by_o the_o edge_n of_o the_o same_o through_o
but_o especial_o at_o noon_n in_o every_o week_n be_v well_o perceive_v to_o descend_v and_o go_v low_o and_o low_o until_o he_o become_v unto_o the_o tropic_n of_o capricorn_n or_o the_o winter_n circle_n where_o he_o turn_v again_o as_o you_o may_v plain_o learn_v and_o understand_v by_o the_o former_a description_n of_o that_o circle_n the_o tropic_n of_o capricorn_n be_v a_o lesser_a circle_n and_o one_o of_o the_o natural_a circle_n which_o be_v by_o the_o like_a space_n distant_a from_o the_o equatoure_n into_o the_o south_n and_o describe_v of_o the_o sun_n in_o the_o begin_n of_o capricorn_n as_o be_v uttermost_a towards_o the_o south_n which_o be_v the_o bind_v of_o the_o sun_n great_a departure_n from_o we_o and_o of_o his_o long_a digression_n unto_o the_o south_n that_o he_o define_v and_o make_v this_o circle_n also_o be_v call_v the_o winter_n solstice_n and_o winter_n tropic_n in_o that_o when_o the_o sun_n come_v into_o this_o circle_n it_o be_v present_o winter_n that_o be_v the_o short_a day_n of_o the_o year_n also_o the_o lessâ—â—_n portion_n of_o this_o circle_n be_v to_o we_o above_o the_o horizone_n and_o the_o great_a beneath_o or_o under_o the_o horizon_n beside_o the_o sun_n journey_n end_v at_o the_o south_n and_o cross_v or_o devide_v both_o the_o burn_a and_o temperate_a southerly_a zone_n the_o brumal_a or_o winter_n tropic_n as_o write_v proclus_n that_o be_v further_a towards_o the_o south_n of_o all_o those_o which_o the_o sun_n describe_v by_o his_o draw_v about_o of_o the_o first_o mover_n into_o which_o when_o the_o sun_n fall_v he_o cause_v his_o winterly_a return_n so_o that_o the_o long_a night_n of_o the_o year_n and_o short_a day_n be_v at_o that_o time_n procure_v from_o which_o he_o go_v no_o further_a towards_o the_o south_n but_o return_v unto_o the_o contrary_a quarter_n of_o the_o world_n and_o hereof_o this_o circle_n be_v call_v a_o tropic_n or_o circle_n of_o return_n now_o these_o three_o be_v principal_o note_v the_o equatour_n and_o the_o two_o tropicke_n for_o the_o course_n of_o the_o sun_n that_o the_o instruction_n of_o the_o two_o tropic_n afore_o speak_v of_o may_v more_o perfect_o be_v understand_v conceive_v this_o figure_n here_o demonstrate_v in_o which_o a_o h_z b_o e._n be_v the_o meridian_n a_o d_o b._n the_o right_a horizone_n d._n the_o centre_n of_o the_o principal_a a._n the_o northerly_a pole_n b._n the_o southerly_a pole_n g_o d_o c._n the_o circle_n of_o the_o zodiac_n h_o d_o e._n the_o equatour_n which_o here_o be_v mean_v to_o be_v abate_o describe_v when_o the_o sun_n shall_v be_v in_o the_o centre_n of_o the_o earth_n or_o in_o the_o true_a section_n of_o the_o equatoure_n and_o zodiac_n as_o in_o the_o letter_n d._n from_o which_o point_n when_o the_o sun_n return_v towards_o the_o northerly_a pole_n a._n under_o the_o circle_n g_o d_o c._n he_o than_o describe_v in_o each_o day_n by_o the_o motion_n of_o the_o first_o mover_n each_o parallel_n until_o he_o be_v come_v in_o the_o meridiane_a unto_o the_o point_n g_o from_o which_o he_o can_v not_o further_o ascend_v towards_o our_o zenith_n in_o the_o meridian_n of_o which_o in_o the_o same_o day_n the_o sun_n describe_v g_o f._n the_o parallel_n to_o the_o equatour_n which_o be_v call_v the_o tropic_n of_o cancer_n in_o that_o the_o sun_n begin_v from_o this_o place_n to_o approach_v or_o draw_v near_o to_o the_o equatoure_n unto_o which_o when_o the_o sun_n shall_v come_v he_o than_o descend_v unto_o the_o nether_a half_a sphere_n in_o the_o half_a circle_n d_o c._n he_o be_v come_v again_o unto_o the_o point_n c_o do_v from_o his_o centre_n by_o the_o motion_n of_o the_o principal_a or_o first_o mover_n in_o the_o pole_n of_o the_o world_n describe_v the_o parallel_n c_o i._n that_o be_v the_o tropic_n of_o capricorn_n the_o polare_fw-la circle_n be_v two_o of_o the_o lesser_a circle_n near_o to_o the_o pole_n of_o the_o world_n be_v alike_o equal_a distant_a to_o the_o equatour_n which_o upon_o the_o pole_n of_o the_o equatour_n describe_v be_v draw_v by_o the_o pole_n of_o the_o zodiac_n and_o these_o be_v name_v the_o polare_fw-la circle_n in_o that_o they_o be_v near_o to_o the_o pole_n of_o which_o that_o near_o to_o the_o pole_n arctic_a be_v call_v the_o arctic_a circle_n of_o the_o great_a or_o lesser_a bear_n draw_v in_o it_o or_o for_o that_o this_o circle_n be_v describe_v about_o the_o pole_n arctic_a the_o other_o that_o be_v right_a against_o be_v name_v the_o antarctic_a circle_n in_o that_o it_o be_v draw_v about_o the_o antarctic_a pole_n or_o thus_o the_o arctic_a be_v a_o lesser_a circle_n which_o the_o northerly_a pole_n of_o the_o zodiac_n be_v so_o far_o distant_a from_o the_o pole_n arctic_a of_o the_o world_n as_o be_v the_o sun_n great_a declination_n or_o as_o proclus_n write_v that_o the_o before_o foot_n of_o the_o great_a bear_n by_o the_o daily_a motion_n form_v the_o same_o circle_n after_o the_o mind_n of_o the_o learned_a be_v 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the_o pole_n from_o their_o circle_n be_v always_o distant_a a_o quarter_n of_o the_o circle_n and_o the_o colour_n of_o the_o solstice_n be_v here_o take_v for_o that_o which_o comprehend_v either_o pole_n and_o when_o the_o quarter_n stand_v between_o the_o pole_n and_o the_o circle_n of_o the_o pole_n be_v in_o themselves_o or_o between_o one_o the_o other_o equal_a as_o the_o ark_n of_o the_o same_o circle_n than_o the_o middle_a ark_n common_a to_o both_o which_o as_o exempt_v go_v between_o the_o pole_n of_o the_o world_n and_o the_o ecclipticke_a and_o so_o part_v and_o leave_v they_o equal_a for_o the_o one_o half_a of_o the_o other_o equal_a ark_n be_v from_o the_o pole_n of_o the_o ecclipticke_a unto_o the_o pole_n of_o the_o world_n and_o the_o other_o be_v
from_o the_o further_a point_n of_o the_o ecclipticke_a unto_o the_o equatour_n by_o which_o it_o appear_v that_o so_o much_o be_v the_o distance_n of_o the_o pole_n of_o the_o ecclipticke_a from_o the_o pole_n of_o the_o world_n as_o be_v the_o sun_n great_a declination_n be_v 23._o degree_n and_o 28._o minute_n and_o two_o fifte_n almost_o or_o thus_o that_o the_o pole_n of_o the_o zodiac_n be_v far_o distant_a from_o the_o pole_n of_o the_o world_n as_o be_v the_o great_a declination_n of_o the_o sun_n from_o the_o equinoctial_a circle_n and_o by_o the_o equidistance_n also_o on_o each_o side_n of_o the_o arctic_a circle_n from_o the_o pole_n of_o the_o world_n that_o that_o part_n of_o the_o colour_n comprehend_v between_o the_o first_o point_n of_o cancer_n and_o the_o arctic_a circle_n be_v almost_o double_a so_o much_o unto_o the_o great_a declination_n of_o the_o sun_n and_o if_o cyrcumspect_o you_o consider_v the_o manner_n of_o the_o motion_n you_o shall_v ready_o perceive_v that_o those_o circle_n which_o ever_o more_o be_v of_o like_a largeness_n increase_n and_o decrease_v together_o with_o the_o twoe_o tropic_n circle_n according_a to_o the_o increase_n or_o decrease_v of_o the_o sun_n declination_n as_o appear_v by_o the_o letter_n n._n in_o the_o foresay_a figure_n that_o represent_v the_o northerly_a pole_n of_o the_o ecclipticke_a or_o zodiac_n move_v from_o the_o letter_n n._n into_o o._n by_o the_o motion_n of_o the_o first_o mover_n and_o return_v again_o into_o the_o point_n n_o shall_v be_v move_v the_o circle_n describe_v n_o o._n be_v distant_a from_o the_o northerly_a pole_n a._n much_o as_n be_v the_o sun_n great_a declination_n h_o g._n as_o hereafter_o by_o demonstration_n shall_v plain_o appear_v and_o this_o circle_n name_v the_o arctic_a in_o that_o it_o be_v describe_v by_o the_o arctic_a of_o the_o zodiac_n the_o like_a be_v describe_v from_o the_o point_n r._n be_v the_o pole_n antarcticke_a by_o the_o motion_n from_o r._n unto_o s._n and_o return_v again_o unto_o r._n so_o that_o the_o antarcticke_a circle_n r_o s._n be_v equal_a to_o his_o opposite_a and_o equidistaunt_a to_o the_o equatoure_n this_o probation_n that_o the_o distance_n of_o the_o pole_n of_o the_o world_n and_o zodiac_n be_v equal_a to_o the_o sun_n great_a declination_n do_v require_v before_o hand_n these_o three_o proposition_n the_o first_o that_o the_o quarter_n of_o each_o circle_n any_o where_o take_v be_v in_o themselves_o or_o between_o one_o another_o equal_a the_o second_o that_o the_o pole_n by_o a_o quarter_n that_o be_v by_o 90._o degree_n be_v distant_a from_o their_o proper_a circle_n the_o three_o that_o the_o equal_v deduct_v from_o their_o equal_n then_o do_v the_o equal_n rest_n as_o for_o example_n if_o you_o borowe_n two_o fourthe_n in_o one_o and_o the_o same_o colour_n circle_n that_o be_v the_o solsticiall_a of_o the_o same_o part_n where_o it_o pass_v by_o the_o begin_n of_o capricorn_n and_o be_v the_o like_a from_o the_o pole_n of_o the_o world_n unto_o the_o equinoctial_a and_o that_o other_o be_v that_o which_o be_v from_o the_o pole_n of_o the_o zodiac_n unto_o the_o zodiac_n or_o ecclipticke_a and_o of_o this_o i_o thus_o reason_n that_o when_o the_o equal_n be_v deduct_v or_o abate_v from_o the_o equal_n the_o remainder_n shall_v be_v equal_a therefore_o be_v the_o foresay_a quarter_n equal_a in_o that_o they_o be_v in_o the_o same_o circle_n and_o that_o from_o either_o be_v the_o equal_a or_o common_a ark_n deduct_v that_o be_v the_o same_o which_o be_v contain_v between_o the_o equinoctial_a and_o the_o pole_n of_o the_o zodiac_n which_o ark_n do_v contain_v 66._o degree_n and_o 31._o minute_n almost_o so_o that_o the_o ark_n rest_v or_o remain_v of_o these_o quarter_n be_v equal_a that_o be_v the_o distance_n of_o the_o pole_n of_o the_o zodiac_n and_o the_o equinoctial_a be_v equal_a to_o the_o sun_n great_a declination_n for_o if_o 66._o degree_n and_o 31._o minute_n be_v deduct_v 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solsticiall_a tropic_n after_o the_o greek_n be_v to_o define_v the_o long_a summer_n day_n and_o the_o winter_n tropic_n to_o determine_v the_o short_a winter_n day_n and_o long_a night_n for_o proclus_n to_o find_v the_o long_a day_n do_v divide_v the_o summer_n solstice_n into_o 8._o equal_a part_n of_o which_o so_o divide_v he_o affirm_v three_o part_n to_o be_v continual_o hide_v under_o the_o horizon_n and_o five_o above_o the_o truth_n of_o which_o be_v know_v if_o the_o sphere_n be_v rectify_v for_o the_o latitude_n of_o 41._o degree_n where_o by_o this_o division_n the_o long_a day_n contain_v 15_o hour_n and_o the_o night_n but_o 9_o hour_n 2_o many_n and_o notable_a office_n do_v the_o tropic_n circle_n offer_v as_o well_o unto_o the_o composition_n of_o dialle_n as_o unto_o the_o prepare_v many_o other_o instrument_n in_o astronomy_n 3_o they_o declare_v the_o place_n of_o the_o ecclipticke_a in_o which_o the_o sun_n solstice_n be_v cause_v whereof_o the_o long_a or_o short_a day_n by_o they_o be_v know_v or_o thus_o they_o declare_v in_o every_o stand_n of_o the_o sphere_n the_o long_a and_o short_a day_n with_o their_o quantity_n 4_o they_o include_v the_o sun_n way_n in_o that_o they_o be_v as_o the_o bound_n include_v the_o region_n in_o heaven_n in_o which_o the_o sun_n be_v continual_o move_v 5_o they_o declare_v the_o sun_n great_a declination_n as_o afore_o have_v be_v often_o teach_v 6_o they_o separate_v in_o heaven_n the_o burn_a zone_n from_o the_o two_o temperate_a zone_n but_o of_o the_o polare_fw-la circle_n these_o be_v the_o chief_a and_o especial_a utility_n 1_o they_o iudicate_v or_o show_v the_o pole_n of_o the_o zodiac_n and_o how_o far_o they_o be_v distant_a from_o the_o pole_n of_o the_o world_n 2_o they_o enclose_v those_o star_n which_o ever_o appear_v above_o our_o horizone_n and_o those_o in_o like_a manner_n right_a against_o be_v always_o hide_v unto_o us._n but_o for_o that_o every_o several_a climate_n have_v disagrée_v from_o other_o climate_n these_o circle_n their_o distance_n therefore_o can_v be_v certain_a from_o the_o other_o parallel_n circle_n save_v for_o one_o region_n certain_a as_o neither_o their_o quantity_n nor_o their_o order_n for_o in_o that_o place_n where_o the_o altitude_n of_o the_o pole_n be_v lesser_a than_o 66._o degree_n and_o a_o half_a these_o circle_n there_o be_v lesser_a than_o the_o tropic_n and_o in_o order_n be_v between_o they_o and_o the_o pole_n and_o be_v from_o the_o pole_n continual_o distant_a by_o so_o many_o degree_n as_o the_o pole_n in_o that_o country_n be_v raise_v above_o the_o horizon_n so_o that_o in_o the_o same_o place_n the_o pole_n raise_v more_o than_o 66._o degree_n and_o a_o half_a the_o tropic_n than_o be_v above_o the_o horizone_n as_o the_o like_a may_v be_v understand_v by_o that_o place_n call_v wardehouse_n so_o that_o in_o the_o same_o climate_n the_o arctic_a circle_n be_v great_a than_o the_o tropic_n of_o cancer_n as_o witness_v the_o learned_a stoeflerus_n justingensis_n 3_o they_o distinguish_v after_o the_o mind_n of_o the_o greek_n the_o cold_a zone_n from_o the_o temperate_a which_o ferio_n deni_v affirm_v that_o the_o arctic_a and_o antarcticke_a circle_n keep_v no_o uniformity_n to_o all_o country_n and_o be_v uncertain_a and_o variable_a bound_n can_v limit_v any_o certain_a place_n for_o the_o temperate_a zone_n be_v place_n certain_a the_o arctic_a and_o antarcticke_a circle_n be_v changeable_a limit_n therefore_o can_v they_o be_v as_o bound_n of_o the_o temperate_a zone_n yet_o do_v he_o better_o allow_v and_o agree_v unto_o that_o that_o the_o tropicke_n be_v bound_n of_o the_o temperate_a zone_n so_o that_o changeable_a limit_n by_o this_o argument_n can_v be_v appoint_v as_o bound_n to_o unchangeable_a place_n 4_o they_o divide_v together_o with_o the_o
the_o hollow_a upper_a face_n of_o the_o moon_n orb_n that_o reach_v unto_o the_o hollow_a upper_a face_n of_o the_o high_a heaven_n be_v most_o pure_a perfitte_a round_n continual_o carry_v about_o and_o bright_a appear_v this_o part_n of_o the_o world_n be_v the_o etherial_a region_n be_v name_v heaven_n which_o always_o draw_v about_o by_o a_o marvelous_a swiftness_n be_v divide_v into_o nine_o orb_n or_o sphere_n although_o sundry_a astronomer_n as_o alphonsus_n johannes_n de_fw-fr monte_fw-fr regio_fw-la purbachius_n and_o other_o have_v add_v a_o ten_o sphere_n through_o the_o three_o contrary_a motion_n find_v in_o the_o eight_o sphere_n name_v of_o thebit_n benchore_n the_o first_o inventor_n of_o the_o same_o motus_fw-la trepidationis_fw-la or_o the_o go_n and_o come_v of_o the_o eight_o sphere_n the_o first_o and_o uppermost_a orb_n be_v name_v the_o first_o mover_n the_o second_o be_v that_o which_o be_v name_v the_o nine_o sphere_n or_o crystalline_a heaven_n but_o of_o 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which_o may_v be_v see_v although_o ptholomy_n affirm_v that_o there_o be_v nine_o orb_n equal_o distant_a yet_o be_v there_o but_o eight_o which_o may_v perfect_o be_v see_v and_o decern_v with_o the_o eye_n both_o in_o the_o stand_n variety_n of_o motion_n and_o differ_v in_o the_o periode_n or_o course_n also_o they_o be_v in_o such_o order_n dispose_v that_o no_o orb_n hinder_v the_o motion_n of_o another_o near_a to_o it_o as_o the_o sphere_n of_o the_o fix_a star_n and_o the_o seven_o orb_n of_o the_o planet_n and_o most_o certain_a it_o be_v that_o some_o of_o the_o fix_a star_n be_v draw_v by_o a_o swift_a motion_n and_o other_o by_o a_o slow_a motion_n and_o that_o the_o apogea_n or_o ascension_n also_o of_o the_o planet_n be_v change_v after_o the_o order_n of_o the_o sign_n the_o orb_n of_o the_o planet_n thus_o contain_v and_o compass_v one_o a_o other_o as_o first_o the_o sphere_n of_o saturn_n be_v nigh_a the_o firmament_n of_o which_o be_v compass_v do_v like_o contain_v 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the_o which_o they_o be_v contrary_o carry_v to_o the_o first_o mover_n as_o from_o the_o west_n into_o the_o east_n in_o move_v under_o the_o zodiac_n and_o about_o the_o pole_n of_o the_o same_o and_o not_o in_o parallel_n from_o the_o equatour_n equal_o separate_v but_o be_v draw_v much_o slow_a yea_o and_o unlike_a as_o by_o a_o like_a example_n when_o a_o ship_n by_o a_o most_o swift_a course_n be_v carry_v into_o the_o west_n yet_o may_v the_o mariner_n and_o other_o in_o the_o ship_n walk_v forward_o in_o the_o mean_a time_n into_o the_o east_n even_o so_o be_v this_o second_o motion_n of_o all_o the_o other_o sphere_n under_o the_o zodiac_n upon_o the_o pole_n of_o the_o ecliptic_a also_o by_o a_o swift_a motion_n
stand_n first_o the_o earth_n be_v place_v without_o the_o be_v tree_n of_o the_o world_n yet_o in_o such_o sort_n that_o it_o be_v equal_o distant_a from_o either_o pole_n that_o be_v that_o the_o equinoctial_a may_v be_v in_o the_o plain_a upper_a face_n as_o in_o the_o letter_n d._n appear_v second_o that_o it_o be_v stand_v on_o the_o exetrée_n of_o the_o world_n yet_o without_o the_o plain_a upper_a face_n of_o the_o equinoctial_a that_o be_v that_o it_o be_v near_o to_o either_o of_o the_o pole_n as_o in_o the_o point_n b._n or_o g._n three_o that_o it_o be_v neither_o stand_v in_o the_o exetrée_n of_o the_o world_n nor_o in_o the_o plain_a of_o the_o equinoctial_a as_o in_o the_o point_n a._n c._n f._n e._n the_o first_o stand_v be_v grant_v these_o absurdity_n shall_v then_o ensue_v through_o the_o diverse_a place_n in_o diverse_a and_o sundry_a place_n of_o the_o plain_n equatoure_n 1_o in_o the_o right_a sphere_n shall_v never_o the_o equinoctium_n or_o a_o like_a day_n and_o 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earthly_a body_n round_o about_o in_o 24._o hour_n and_o therefore_o that_o the_o earth_n be_v carry_v with_o so_o swift_a motion_n shall_v not_o only_o overthrow_v building_n but_o high_a hill_n and_o great_o shake_v and_o harm_v all_o thing_n fasten_v and_o grow_v on_o the_o earth_n yea_o all_o live_a beast_n and_o other_o creature_n dwell_v on_o the_o face_n of_o the_o earth_n shall_v be_v likewise_o shake_v and_o harm_v also_o the_o cloud_n fowl_n and_o whatsoever_o live_v and_o hang_v in_o the_o air_n shall_v be_v carry_v and_o leave_v behind_o at_o the_o set_n in_o the_o west_n for_o by_o the_o swift_a turn_v about_o of_o the_o earth_n shall_v all_o thing_n be_v over_o turn_v and_o leave_v behind_o by_o a_o
through_o the_o difficulty_n of_o measure_v and_o this_o whole_a compass_n be_v not_o only_o mean_v of_o the_o earth_n but_o of_o the_o earth_n and_o water_n joint_o together_o both_o which_o be_v say_v to_o make_v one_o sphere_n also_o eratostenes_n gather_v the_o compass_n of_o all_o the_o earthly_a orb_n by_o the_o proportion_n of_o the_o particular_a or_o the_o degree_n of_o the_o celestial_a circle_n unto_o the_o like_a space_n on_o earth_n for_o he_o affirm_v that_o to_o one_o degree_n of_o the_o celestial_a equatour_n answer_v 700._o furlong_n or_o 15._o german_a mile_n but_o ptolemy_n attribute_v to_o a_o degree_n 500_o furlong_n which_o be_v thus_o to_o be_v understand_v that_o a_o circle_n be_v imagine_v on_o earth_n direct_o under_o the_o equinoctial_a or_o merydian_a line_n devide_v the_o earth_n into_o twoe_o half_n and_o that_o this_o circle_n be_v likewise_o divide_v into_o 360._o part_n or_o degree_n as_o the_o celestial_a circle_n be_v and_o each_o of_o these_o part_n 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into_o 90._o degree_n be_v declare_v the_o hour_n circle_n in_o that_o the_o whole_a work_n of_o dialle_n depend_v upon_o the_o knowledge_n of_o the_o hour_n circle_n it_o be_v therefore_o requisite_a and_o necessary_a to_o entreat_v full_o of_o the_o circle_n distinguisher_n of_o the_o hour_n or_o at_o the_o least_o utter_v a_o brief_a instruction_n of_o this_o first_o you_o shall_v understande_v that_o the_o equatoure_n only_o which_o as_o afore_o teach_v the_o sun_n be_v either_o in_o the_o begin_n of_o aries_n or_o libra_n be_v regular_o move_v aswell_o in_o the_o right_n as_o thwart_v horizone_n and_o thereof_o be_v always_o the_o one_o half_a above_o the_o horizon_n &_o the_o other_o half_o hide_v under_o the_o horizon_n through_o this_o his_o equal_a motion_n or_o regular_fw-la motion_n be_v it_o judge_v worthy_a and_o laudable_a see_v by_o it_o the_o equal_a hour_n as_o well_o by_o day_n as_o night_n be_v attain_v and_o have_v and_o this_o conceive_v that_o there_o be_v 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noon_n and_o the_o other_o half_n of_o it_o the_o line_n of_o the_o sixth_o hour_n at_o after_o noon_n by_o which_o imagination_n firm_o conceive_v may_v a_o man_n imagine_v between_o the_o half_a horizontall_a circle_n and_o the_o half_a meridian_n circle_n to_o be_v other_o five_o half_a circle_n firm_a and_o immovable_a which_o be_v not_o move_v but_o as_o the_o vertical_a point_n be_v move_v be_v distant_a each_o from_o other_o by_o a_o equal_a distance_n as_o by_o 15._o degree_n of_o the_o equatour_n the_o first_o after_o the_o horizon_n be_v apply_v to_o the_o seven_o hour_n &_o so_o forth_o of_o the_o rest_n and_o in_o like_a manner_n between_o the_o meridian_n half_a circle_n and_o the_o occidental_a horizone_fw-fr be_v other_o five_o circle_n understand_v according_a to_o the_o fourmer_n division_n and_o that_o which_o follow_v the_o meridian_n shall_v be_v apply_v to_o the_o first_o hour_n that_o which_o next_o follow_v to_o the_o second_o hour_n and_o so_o forth_o of_o the_o other_o beside_o imagine_v the_o sun_n to_o ascend_v from_o the_o horizon_n and_o when_o he_o shall_v be_v come_v unto_o the_o first_o half_a circle_n from_o the_o horizon_n then_o shall_v he_o shed_v a_o shadow_n further_a westward_o and_o be_v draw_v up_o unto_o the_o second_o shall_v make_v a_o short_a shadow_n and_o the_o shadow_n shall_v always_o until_o the_o sun_n be_v come_v unto_o the_o half_a noonestéede_o circle_n where_o he_o shed_v or_o send_v a_o shadow_n plum_n down_o right_a to_o the_o earth_n but_o descend_v from_o the_o noonstéede_o unto_o the_o west_n the_o sun_n cause_v then_o the_o like_a shadow_n contrary_a further_o conceive_v that_o the_o exetrée_n of_o the_o world_n in_o who_o pole_n as_o be_v afore_o teach_v all_o the_o hour_n circle_n meet_v together_o in_o one_o do_v perform_v &_o express_v the_o same_o which_o the_o foresay_a circle_n teach_v as_o by_o the_o sun_n dial_n the_o like_a be_v ready_o understand_v and_o know_v the_o circle_n devide_v the_o 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especial_o the_o ancient_a which_o be_v campanus_n a_o singular_a mathematician_n and_o astronmer_n divide_v the_o house_n by_o the_o five_o circle_n of_o heaven_n meeting_n anâ—_n join_v at_o the_o pole_n of_o the_o world_n from_o which_o they_o divide_v the_o whole_a heaven_n together_o with_o the_o meridiane_n into_o twelve_o equal_a house_n but_o for_o a_o better_a and_o ready_a instruction_n they_o form_v and_o draw_v they_o in_o this_o manner_n after_o the_o four_o principal_a quarter_n or_o angle_n of_o heaven_n be_v draw_v and_o that_o the_o right_a ascension_n of_o the_o middle_n of_o heaven_n be_v have_v then_o be_v the_o part_n of_o the_o zodiac_n diligent_o consider_v that_o occupy_v as_o well_o the_o easterly_a as_o the_o westerly_a horizone_n and_o then_o be_v the_o right_a ascension_n seek_v of_o those_o part_n which_o be_v do_v the_o constitution_n and_o make_n of_o the_o two_o house_n in_o the_o easterly_a part_n of_o heaven_n be_v the_o right_a ascension_n of_o the_o 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the_o day_n in_o the_o right_a sphere_n and_o of_o the_o unequalnesse_n in_o the_o thwart_a or_o bow_v sphere_n and_o where_o the_o day_n space_n be_v increase_v and_o lengthen_v there_o the_o night_n space_n be_v lessen_v and_o decrease_v and_o be_v otherwise_o they_o show_v the_o contrary_n in_o the_o second_o the_o parallel_n which_o the_o verticial_a point_n form_n when_o they_o express_v the_o bound_n of_o the_o latitude_n of_o place_n then_o be_v they_o stand_v under_o by_o which_o their_o longitude_n or_o distance_n from_o the_o west_n be_v account_v in_o the_o three_o the_o parallel_n which_o either_o the_o planet_n or_o the_o fix_a star_n describe_v refer_v unto_o the_o equatour_n do_v express_v the_o bound_n of_o their_o drawing_n or_o motion_n from_o the_o equatour_n the_o other_o or_o rest_n which_o apply_v unto_o the_o ecclipticke_a describe_v do_v show_v the_o bound_n of_o the_o latitude_n and_o that_o for_o how_o long_a time_n they_o tarry_v above_o the_o earth_n or_o otherwise_o hide_v within_o the_o earth_n and_o under_o the_o horizone_n do_v either_o show_n in_o the_o four_o the_o great_a and_o chief_a utility_n of_o the_o parallel_n be_v that_o which_o on_o the_o habitable_a earth_n the_o practisioner_n sever_v by_o such_o distance_n as_o by_o how_o much_o y_fw-mi e_fw-es great_a artificial_a day_n be_v by_o a_o quarter_n of_o a_o hour_n long_o increase_v and_o extend_v for_o they_o distinguish_v the_o habitable_a earth_n and_o that_o by_o observation_n into_o certain_a necessary_a space_n and_o do_v iudicate_v the_o regular_a increasing_n of_o the_o day_n and_o what_o be_v common_a to_o each_o dwell_n under_o those_o parallel_n in_o much_o as_o the_o quantity_n the_o increasing_n and_o deminishing_n of_o the_o day_n and_o night_n the_o rise_n and_o setting_n of_o the_o star_n the_o noonstéede_o shadow_n and_o the_o nature_n of_o the_o winter_n and_o summer_n but_o those_o which_o be_v contrary_a as_o that_o there_o be_v a_o difference_n &_o diversity_n of_o the_o dwell_a place_n be_v under_o diverse_a parallel_n they_o indeed_o be_v necessary_a unto_o the_o distribution_n and_o description_n of_o the_o climate_n although_o the_o number_n of_o these_o circle_n be_v so_o infinite_a as_o be_v the_o infinite_a variety_n of_o the_o star_n and_o vertical_a point_n yet_o be_v there_o four_o usual_o rehearse_v in_o these_o element_n or_o introduction_n that_o be_v especial_o note_v and_o describe_v by_o peculiar_a name_n and_o for_o the_o same_o cause_n as_o seem_v to_o i_o in_o that_o they_o divide_v the_o whole_a globe_n of_o heaven_n and_o earth_n into_o five_o zone_n and_o these_o apply_v unto_o the_o plain_a or_o flat_a of_o the_o equatour_n the_o tropic_n of_o cancer_n or_o summer_n tropic_n the_o tropic_n of_o capricorn_n or_o winter_n tropic_n the_o arctic_a or_o northerly_a pole_n the_o antarctic_a or_o southerly_a pole_n which_o circle_n be_v call_v the_o tropicke_n the_o sun_n according_a to_o the_o former_a word_n through_o the_o motion_n of_o the_o first_o mover_n be_v in_o 24_o hour_n draw_v once_o about_o and_o for_o that_o he_o be_v carry_v in_o the_o thwart_a circle_n and_o in_o the_o same_o by_o his_o proper_a motion_n change_v daily_o unto_o other_o place_n of_o the_o zodiac_n it_o must_v needs_o ensue_v that_o he_o describe_v in_o each_o day_n a_o new_a parallel_n and_o those_o do_v the_o sun_n repeat_v in_o the_o part_n of_o the_o zodiac_n which_o be_v equidistant_a from_o the_o solsticiall_a point_n in_o such_o wise_a that_o they_o be_v in_o the_o whole_a 182._o circle_n and_o these_o do_v they_o call_v the_o circle_n of_o the_o natural_a day_n of_o which_o the_o uttermost_a and_o further_a that_o include_v the_o sun_n way_n be_v name_v the_o tropic_n which_o be_v in_o english_a the_o sun_n bound_n in_o that_o the_o sun_n never_o pass_v they_o neither_o towards_o the_o north_n nor_o towards_o the_o south_n but_o after_o his_o touch_v of_o each_o he_o return_v again_o the_o one_o of_o 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twelve_o day_n of_o december_n unto_o the_o eleven_o day_n of_o june_n a_o man_n may_v perceive_v the_o sun_n every_o day_n arise_v high_a and_o high_o and_o when_o he_o be_v at_o the_o high_a over_o our_o head_n that_o day_n do_v he_o by_o his_o course_n describe_v the_o summer_n tropic_n from_o which_o again_o turn_v the_o sun_n every_o day_n after_o draw_v low_a and_o low_a from_o our_o vertical_a point_n until_o he_o be_v come_v again_o unto_o the_o low_a in_o which_o twelve_o day_n of_o december_n not_o go_v any_o further_a towards_o the_o south_n but_o be_v come_v unto_o the_o begin_n of_o capricorn_n he_o describe_v the_o winter_n tropic_n the_o tropic_n of_o cancer_n be_v a_o lesser_a circle_n which_o the_o sun_n describe_v at_o the_o enter_v into_o the_o beginning_n thereof_o and_o be_v draw_v by_o the_o daily_a motion_n who_o plain_a or_o flat_o pass_v not_o by_o the_o centre_n of_o the_o earth_n and_o it_o be_v one_o of_o the_o natural_a circle_n which_o be_v outermost_a describe_v of_o the_o sun_n towards_o the_o north_n and_o draw_v by_o the_o begin_n of_o cancer_n and_o it_o have_v also_o his_o name_n of_o the_o stand_n in_o that_o the_o same_o be_v the_o bind_v of_o the_o sun_n journey_n or_o course_n towards_o the_o north_n and_o the_o nigh_a come_v unto_o we_o unto_o which_o be_v bring_v he_o turn_v back_o and_o direct_v his_o course_n into_o the_o south_n of_o which_o that_o place_n be_v call_v trope_n it_o be_v continual_o distant_a from_o the_o equatour_n by_o the_o quantity_n of_o the_o sun_n great_a declination_n which_o at_o this_o day_n be_v of_o 23._o degree_n 28._o minute_n and_o two_o fift_n almost_o and_o it_o enclose_v also_o the_o sun_n way_n and_o do_v beside_o with_o the_o other_o 3._o parallel_n divide_v the_o zone_n of_o heaven_n and_o earth_n further_o this_o be_v name_v the_o circle_n of_o the_o summer_n solstice_n by_o the_o same_o reason_n in_o that_o it_o be_v draw_v by_o the_o point_n of_o the_o summer_n solstice_n and_o the_o northerly_a tropic_n in_o that_o it_o be_v the_o northerly_a part_n of_o the_o world_n and_o the_o summer_n circle_n for_o that_o the_o sun_n in_o the_o summer_n fall_v into_o this_o circle_n also_o this_o circle_n in_o all_o the_o northerly_a tract_n be_v on_o this_o wise_a that_o the_o great_a part_n or_o portion_n be_v above_o the_o horizone_n and_o the_o lesser_a part_n as_o to_o we_o under_o the_o horizon_n so_o that_o the_o sun_n run_v in_o that_o circle_n cause_v the_o long_a day_n of_o summer_n and_o while_o the_o sun_n describe_v these_o circle_n the_o day_n be_v long_o than_o the_o night_n for_o the_o long_a day_n increase_v from_o minute_n to_o minute_n from_o hour_n to_o hour_n and_o from_o the_o latitude_n of_o one_o degree_n unto_o the_o latitude_n of_o 66._o degree_n and_o 30._o minute_n in_o which_o the_o day_n artificial_a be_v of_o 24._o hour_n and_o be_v thereof_o call_v a_o whole_a day_n for_o in_o the_o latitude_n follow_v and_o beyond_o he_o increase_v into_o many_o whole_a day_n a_o like_a definition_n have_v proelus_fw-la where_o he_o write_v that_o the_o summer_n tropic_n be_v the_o further_a circle_n northward_o that_o the_o sun_n describe_v into_o which_o when_o the_o sun_n be_v come_v he_o than_o make_v his_o summer_n turn_v and_o cause_v also_o at_o that_o time_n the_o long_a day_n and_o short_a night_n of_o the_o year_n from_o which_o turn_v back_o he_o go_v again_o towards_o the_o contrary_a coast_n of_o the_o world_n so_o that_o of_o the_o same_o proclus_n it_o be_v call_v a_o tropic_n which_o be_v in_o english_a a_o return_a circle_n for_o it_o be_v evident_a to_o all_o man_n that_o after_o the_o sun_n begin_v to_o turn_v he_o may_v in_o short_a time_n after_o or_o at_o the_o least_o within_o 5._o day_n
great_a and_o long_a space_n if_o by_o such_o a_o swiftness_n the_o earth_n shall_v be_v turn_v about_o the_o exetrée_n of_o the_o world_n or_o if_o by_o the_o motion_n of_o the_o earth_n the_o air_n and_o all_o thing_n hang_v in_o the_o air_n shall_v be_v draw_v with_o a_o like_a swiftness_n then_o shall_v they_o appear_v to_o stay_v or_o not_o to_o be_v move_v at_o all_o and_o further_o if_o a_o stone_n or_o any_o weighty_a thing_n cast_v upward_o shall_v not_o light_v again_o down_o right_o on_o the_o same_o place_n as_o may_v be_v see_v in_o a_o ship_n at_o sail_v so_o that_o to_o all_o these_o do_v evident_a experience_n deny_v that_o by_o no_o motion_n the_o earth_n be_v any_o thing_n move_v dut_n continual_o stay_v and_o abide_v by_o the_o four_o it_o be_v manifest_a that_o in_o the_o motion_n and_o turn_v about_o of_o the_o circle_n the_o centre_n abide_v unmoveable_a which_o be_v the_o earth_n place_v in_o the_o middle_a of_o the_o world_n and_o be_v as_o the_o centre_n of_o 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hide_v within_o the_o horizont_n so_o that_o by_o a_o continual_a draw_v about_o of_o heaven_n do_v six_o sign_n appear_v and_o as_o many_o right_n against_o those_o six_o set_v under_o the_o earth_n if_o the_o magnitude_n of_o the_o earth_n shall_v be_v of_o any_o light_a portion_n unto_o heaven_n than_o so_o much_o of_o the_o centre_n the_o upper_a face_n draw_v about_o shall_v part_n or_o divide_v heaven_n into_o equal_a half_a sphere_n the_o other_o sphere_n reatch_v from_o any_o part_n of_o the_o upper_a face_n shall_v divide_v the_o same_o into_o unequal_a portion_n neither_o half_a the_o zodiac_n shall_v always_o appear_v but_o a_o portion_n much_o lesser_a than_o half_a the_o zodiac_n shall_v be_v see_v above_o the_o earth_n so_o that_o the_o great_a part_n of_o the_o earth_n through_o the_o folydnesse_n exclude_v and_o hide_v shall_v not_o after_o be_v see_v by_o the_o four_o the_o equinoctial_a shadow_n both_o of_o the_o rise_n and_o set_v of_o the_o sun_n do_v make_v a_o 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the_o angle_n of_o the_o difference_n of_o longitude_n be_v blunt_a see_v the_o place_n be_v further_a distant_a than_o a_o whole_a quarter_n and_o thereby_o cause_v a_o diverse_a reason_n and_o way_n of_o search_n from_o the_o former_a which_o semblable_o the_o diverse_a quantity_n of_o the_o complement_n of_o the_o great_a latitude_n do_v three_o manner_n of_o way_n vary_v as_o in_o the_o same_o ark_n which_o perfect_o know_v by_o the_o second_o be_v either_o great_a or_o lesser_a the_o example_n of_o this_o appear_v of_o these_o two_o place_n the_o noble_a city_n antiochia_n in_o syria_n which_o be_v after_o call_v seleucia_n have_v the_o longitude_n of_o 106._o degree_n and_o no_o minute_n the_o latitude_n be_v of_o 40._o degree_n and_o 40._o scruple_n the_o other_o of_o toletum_n who_o longitude_n be_v of_o 7._o degree_n and_o 4._o scruple_n the_o latitude_n have_v 37._o degree_n and_o 50._o minute_n the_o difference_n of_o longitude_n be_v of_o 98._o degree_n and_o 56._o 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tropic_n all_o heaven_n into_o five_o part_n or_o region_n which_o they_o call_v zone_n the_o description_n name_n quality_n and_o utility_n of_o the_o zone_n the_o four_o lesser_a circle_n call_v parallel_n that_o be_v afore_o describe_v do_v divide_v the_o whole_a heaven_n toward_o the_o pole_n into_o five_o space_n which_o that_o heaven_n may_v be_v compass_v about_o with_o these_o large_a swath_n the_o astronomer_n of_o the_o same_o call_v they_o zone_n or_o otherwise_o of_o the_o latin_n gerdil_n the_o cosmographer_n by_o the_o same_o imagination_n apply_v do_v also_o dispose_v and_o distribute_v the_o whole_a globe_n of_o the_o earth_n into_o five_o room_n or_o space_n lie_v direct_o under_o and_o agreeable_a in_o proportion_n to_o they_o in_o heaven_n wherefore_o a_o zone_n after_o the_o mind_n of_o the_o greek_n be_v a_o portion_n tract_n or_o space_n of_o heaven_n or_o earth_n between_o the_o two_o parallel_n or_o lesser_a circle_n be_v nigh_a equidistant_n or_o contain_v 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dragon_n at_o the_o entrance_n and_o beginning_n of_o capricorn_n she_o shall_v be_v near_o the_o pole_n antarcticke_a by_o five_o degree_n than_o the_o sun_n although_o in_o the_o winter_n the_o moon_n shall_v be_v in_o the_o begin_n of_o capricorn_n with_o the_o southerly_a latitude_n of_o four_o or_o five_o degree_n yet_o may_v she_o work_v and_o cause_n more_o in_o the_o change_n of_o weather_n and_o shall_v cause_v more_o in_o scotland_n than_o the_o sun_n in_o that_o her_o power_n and_o virtue_n there_o be_v such_o but_o in_o brasilia_n and_o under_o the_o antarcticke_a pole_n for_o two_o cause_n the_o one_o in_o that_o she_o be_v there_o of_o such_o power_n and_o the_o other_o for_o that_o in_o her_o work_n she_o be_v near_a what_o the_o longitude_n and_o latitude_n of_o the_o celestial_a zone_n be_v the_o longitude_n of_o zone_n begin_v from_o the_o west_n and_o be_v extend_v by_o the_o noonestéede_o into_o the_o east_n and_o from_o the_o east_n again_o by_o the_o midnight_n point_n into_o the_o west_n the_o motion_n of_o the_o sun_n in_o the_o zodiac_n and_o pole_n of_o the_o zodiac_n do_v describe_v the_o latitude_n of_o the_o zone_n for_o the_o sun_n motion_n or_o the_o zodiac_n do_v describe_v the_o burn_a zone_n see_v the_o sun_n on_o the_o one_o part_n of_o the_o zodiac_n go_v towards_o the_o north_n unto_o the_o elongation_n of_o 23._o degree_n 28._o minute_n and_o be_v by_o his_o daily_a motion_n in_o the_o begin_n of_o cancer_n do_v describe_v the_o tropic_a of_o cancer_n which_o be_v the_o bind_v of_o the_o two_o zone_n the_o burn_a zone_n and_o northerly_a temperate_a zone_n and_o on_o the_o other_o part_n of_o the_o zodiac_n do_v the_o sun_n go_v into_o the_o south_n unto_o the_o same_o elongation_n and_o be_v in_o the_o begin_n of_o capricorn_n do_v likewise_o describe_v the_o tropic_n of_o capricorn_n which_o be_v the_o bind_v of_o the_o other_o twoe_o zone_n in_o that_o it_o distinguish_v the_o burn_v from_o the_o southerly_a temperate_a zone_n and_o the_o space_n also_o include_v in_o these_o two_o circle_n use_v the_o middle_a place_n be_v call_v the_o burn_a zone_n and_o thus_o the_o burn_a zone_n do_v employ_v 46._o degree_n and_o 57_o minute_n the_o pole_n of_o the_o zodiac_n which_o be_v daily_o about_o the_o pole_n of_o the_o world_n from_o which_o they_o differ_v 23._o degree_n and_o 28._o minute_n and_o be_v draw_v by_o the_o motion_n of_o the_o first_o mover_n do_v describe_v two_o circle_n in_o the_o diverse_a part_n of_o heaven_n as_o the_o polare_fw-la circle_n which_o also_o be_v the_o bound_n of_o the_o zone_n that_o distinguish_v the_o twoe_o temperate_a from_o the_o cold_a zone_n so_o that_o the_o latitude_n of_o either_o cold_a zone_n unto_o the_o pole_n of_o the_o world_n be_v of_o 23._o degree_n and_o 28._o minute_n the_o other_o degree_n of_o the_o semicyrcle_n be_v atribute_v to_o the_o temperate_a zone_n so_o that_o either_o zone_n contain_v 43._o degree_n and_o 3._o minute_n what_o be_v the_o longitude_n and_o latitude_n of_o the_o earthly_a zone_n the_o longitude_n of_o the_o earthly_a zone_n be_v like_a to_o the_o longitude_n of_o the_o celestial_a as_o from_o the_o west_n by_o the_o noon_n steed_n into_o the_o east_n and_o from_o thence_o by_o the_o midnight_n point_n again_o into_o the_o west_n and_o the_o latitude_n of_o they_o be_v like_a to_o the_o latitude_n of_o the_o celestial_a zone_n for_o as_o the_o manner_n of_o the_o latitude_n of_o the_o celestial_a burn_a zone_n be_v unto_o the_o whole_a cyrcumference_n even_o so_o be_v the_o manner_n of_o the_o earthly_a burn_a zone_n unto_o the_o compass_n about_o of_o the_o earthly_a globe_n that_o be_v as_o 47._o degree_n be_v unto_o 360._o and_o so_o likewise_o conceive_v of_o the_o other_o and_o that_o this_o may_v plain_o appear_v use_v the_o figure_n follow_v in_o which_o a_o l_o h_o e._n be_v the_o meridian_n or_o colour_n of_o the_o solstice_n e_fw-la x_o l._n the_o equatoure_n a_o x_o h._n the_o meridian_n s_z u_z p._n the_o earthly_a globe_n s_o n._n the_o earthly_a tropic_n of_o cancer_n k_o o._n the_o tropic_n of_o capricorn_n t_o u._n and_o q_o p._n the_o arctic_a circle_n to_o these_o answer_n f_o r_o o_o k_o b_o b._n and_o d_o s_o m_o c_o c._n also_o c_o ff_v b_o a_o g_o e_o e_o i._n the_o celestial_a circle_n and_o what_o the_o proportion_n f_o d._n be_v unto_o the_o whole_a compass_n d_o a_fw-fr k_o g_o f_o the_o same_n be_v as_o above_o write_v the_o proportion_n r_o s._n unto_o the_o whole_a cyrcumference_n of_o the_o earthly_a globe_n and_o on_o this_o wise_a conceive_v of_o the_o other_o circle_n the_o letter_n f_o d._n be_v the_o latitude_n of_o the_o celestial_a burn_a zone_n and_o r_o s._n of_o the_o earthly_a do_v c._n
experience_n gainsayth_n and_o deni_v muchlesse_a therefore_o can_v it_o be_v great_a ten_o time_n by_o which_o be_v to_o be_v conclude_v that_o the_o water_n be_v but_o little_a in_o quantity_n in_o respect_n of_o the_o earth_n although_o it_o may_v seem_v very_o big_a be_v up_o to_o the_o edge_n of_o the_o upper_a face_n of_o the_o earth_n and_o if_o the_o water_n have_v be_v more_o big_a than_o the_o earth_n they_o have_v drown_v or_o cover_v the_o whole_a earth_n even_o of_o late_a year_n that_o the_o earth_n employ_v the_o middle_a place_n of_o the_o world_n and_o be_v the_o centre_n of_o the_o whole_a a_o ristarchus_n samius_n which_o be_v 261_o year_n before_o the_o birth_n of_o christ_n take_v the_o earth_n from_o the_o middle_n of_o the_o world_n and_o place_v it_o in_o a_o peculiar_a orb_n include_v within_o marses_n and_o venus_n sphere_n and_o to_o be_v draw_v about_o by_o peculiar_a motion_n about_o the_o sun_n which_o he_o feign_v to_o stand_v in_o the_o middle_a of_o the_o world_n as_o unmoveable_a after_o the_o manner_n of_o the_o fix_a star_n the_o like_a argument_n do_v that_o learned_a copernicus_n apply_v unto_o his_o demonstration_n but_o overpass_v such_o reason_n lest_o by_o the_o newness_n of_o the_o argument_n they_o may_v offend_v or_o trouble_v young_a student_n in_o the_o art_n we_o therefore_o by_o true_a knowledge_n of_o the_o wise_a do_v attribute_v the_o middle_a seat_n of_o the_o world_n to_o the_o earth_n and_o appoynte_v it_o the_o centre_n of_o the_o whole_a by_o which_o the_o rise_n &_o settinge_n of_o the_o star_n the_o equinoctial_o the_o time_n of_o the_o increase_n and_o decrease_v of_o the_o day_n the_o shadow_n and_o eclipse_n be_v declare_v the_o earth_n round_o about_o be_v equal_o distant_a from_o heaven_n therefore_o according_a to_o the_o definition_n of_o the_o centre_n the_o earth_n be_v the_o centre_n of_o the_o world_n that_o the_o star_n have_v always_o one_o bigness_n in_o what_o place_n soever_o any_o shall_v behold_v they_o therefore_o be_v they_o in_o a_o equal_a distance_n from_o the_o earth_n the_o roundness_n of_o the_o earthly_a globe_n have_v a_o proportion_n unto_o the_o roundness_n of_o heaven_n that_o be_v the_o certain_a and_o proportional_a part_n in_o the_o earthly_a globe_n do_v answer_n to_o certain_a proportional_a part_n of_o heaven_n therefore_o be_v the_o earth_n the_o centre_n of_o the_o world_n in_o that_o siftéene_a german_a mile_n on_o earth_n do_v answer_n to_o a_o degree_n of_o the_o meridian_n and_o that_o in_o every_o hour_n do_v fifteen_o degree_n arise_v of_o the_o equinoctial_a which_o can_v not_o be_v if_o the_o earth_n be_v not_o in_o the_o middle_n of_o the_o world_n for_o the_o unequal_a ark_n shall_v otherwise_o appear_v in_o the_o equal_a time_n and_o the_o equal_a part_n of_o the_o meridian_n shall_v the_o unequal_a space_n on_o earth_n answer_v which_o experience_n daily_o witness_v unto_o the_o contrary_n and_o hereof_o it_o ensue_v that_o the_o earth_n stand_v in_o the_o middle_n of_o the_o world_n in_o every_o artificial_a day_n do_v six_o sign_n appear_v and_o six_o like_v set_v under_o the_o earth_n therefore_o be_v the_o earth_n in_o the_o middle_n of_o the_o world_n and_o be_v also_o as_o a_o prick_n to_o which_o the_o half_a do_v regular_o move_v daily_o the_o like_a be_v in_o the_o opposition_n of_o the_o sun_n and_o moon_n when_o either_o light_n be_v in_o the_o horizont_n which_o can_v not_o be_v if_o the_o earth_n shall_v approach_v or_o come_v near_o unto_o one_o part_n then_o unto_o the_o other_o if_o it_o be_v near_o to_o either_o of_o the_o pole_n than_o can_v not_o the_o universal_a equinoctial_o be_v for_o that_o the_o one_o ark_n always_o either_o in_o the_o day_n and_o night_n time_n shall_v be_v great_a than_o the_o other_o the_o eccclipse_n also_o can_v not_o be_v in_o the_o change_n and_o full_a moon_n for_o that_o there_o shall_v then_o be_v uneven_a space_n from_o the_o south_n unto_o the_o north_n and_o from_o the_o east_n unto_o the_o west_n if_o the_o earth_n be_v not_o as_o the_o centre_n of_o the_o world_n then_o of_o necessity_n shall_v these_o ensue_v that_o the_o earth_n shall_v approach_v either_o near_o to_o the_o east_n or_o west_n or_o south_n part_n and_o when_o any_o of_o the_o star_n aswell_o the_o fix_a as_o planet_n shall_v come_v unto_o that_o part_n they_o shall_v appear_v near_o to_o we_o then_o be_v in_o any_o other_o part_n of_o heaven_n and_o by_o that_o above_o say_v they_o shall_v also_o appear_v great_a which_o be_v altogether_o untrue_a and_o we_o also_o see_v the_o contrary_a in_o that_o as_o above_o write_v they_o always_o appear_v of_o one_o greatness_n either_o be_v in_o the_o east_n or_o in_o the_o west_n also_o one_o half_a of_o heaven_n be_v always_o above_o the_o earth_n and_o the_o other_o half_n under_o the_o earth_n and_o this_o be_v not_o only_o find_v and_o know_v in_o one_o quarter_n of_o the_o earth_n but_o the_o like_a in_o every_o place_n as_o the_o equinoctial_o do_v witness_n than_o which_o there_o can_v be_v no_o more_o evident_a trial_n a_o three_o reason_n may_v be_v allege_v if_o any_o imagine_v the_o earth_n upon_o the_o centre_n to_o be_v part_v into_o two_o equal_a half_n and_o that_o the_o eye_n be_v place_v in_o the_o centre_n then_o shall_v the_o eye_n see_v no_o more_o than_o the_o half_a of_o heaven_n by_o which_o appear_v that_o the_o swell_a of_o the_o earth_n from_o the_o centre_n unto_o his_o compass_n about_o in_o make_v a_o comparison_n unto_o heaven_n be_v as_o in_o a_o manner_n nothing_o and_o it_o be_v know_v to_o the_o learned_a in_o astronomy_n that_o any_o of_o the_o fix_a star_n be_v by_o many_o time_n great_a than_o the_o earth_n which_o if_o any_o behold_v they_o they_o appear_v as_o point_n in_o heaven_n now_o how_o much_o lesser_o will_v the_o earth_n appear_v if_o a_o man_n shall_v behold_v it_o from_o his_o place_n here_o learn_v by_o this_o demonstration_n follow_v that_o the_o 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sun_n by_o his_o proper_a motion_n carry_v from_o the_o east_n into_o the_o west_n shall_v come_v unto_o the_o cross_n of_o the_o equatour_n and_o zodiac_n and_o that_o the_o great_a part_n of_o these_o circle_n shall_v be_v under_o the_o earth_n it_o can_v be_v that_o the_o equinoctium_n or_o a_o like_a day_n and_o night_n can_v be_v through_o out_o the_o earth_n no_o not_o under_o the_o right_a sphere_n much_o less_o can_v it_o be_v under_o the_o thwart_a sphere_n if_o this_o be_v unpossible_a it_o shall_v be_v also_o as_o unpossible_a that_o six_o sign_n may_v always_o be_v above_o the_o earth_n and_o the_o other_o six_o under_o the_o earth_n but_o rather_o that_o more_o of_o the_o sign_n shall_v be_v under_o the_o earth_n and_o more_o of_o they_o above_o even_o as_o the_o earth_n be_v imagine_v to_o be_v divide_v from_o the_o horrizont_n aforesaid_a into_o two_o equal_a part_n like_v as_o when_o it_o shall_v be_v in_o the_o centre_n of_o the_o whole_a and_o that_o from_o each_o centre_n of_o the_o great_a circle_n the_o earth_n be_v divide_v into_o two_o part_n as_o all_o these_o to_o any_o behold_v the_o material_a sphere_n be_v forthwith_o know_v at_o the_o first_o sight_n so_o by_o a_o three_o reason_n be_v to_o be_v note_v that_o when_o any_o imagine_v by_o the_o line_n e._n f._n that_o the_o earth_n in_o the_o point_n g._n stand_v as_o in_o the_o centre_n of_o the_o whole_a be_v divide_v by_o the_o middle_n as_o well_o be_v in_o g._n as_o h._n for_o the_o exceed_a distance_n from_o the_o cyrcumference_n be_v unpossible_a to_o see_v always_o the_o half_a heaven_n if_o the_o earth_n be_v not_o in_o the_o middle_n of_o the_o world_n then_o of_o necessity_n shall_v it_o possess_v some_o of_o these_o