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signify_v any_o circle_n pass_v by_o the_o pole_n of_o the_o world_n and_o have_v his_o name_n of_o his_o unperfect_a show_v himself_o in_o the_o motion_n of_o heaven_n but_o now_o by_o the_o name_n of_o colour_n we_o understand_v two_o great_a circle_n the_o one_o go_v from_o the_o pole_n of_o the_o world_n by_o the_o point_n where_o the_o aequinoctial_a and_o zodiac_n cut_v themselves_o which_o be_v call_v the_o aequinoctial_a point_n and_o be_v call_v the_o aequinoctial_a colour_n the_o other_o pass_v from_o the_o pole_n of_o the_o world_n by_o those_o point_n of_o the_o ecliptic_a which_z swerve_v most_o of_o all_o other_o from_o the_o aequinoctial_a line_n which_o point_n be_v call_v the_o solsticiall_a point_n and_o this_o be_v call_v the_o solsticial_a colour_n and_o here_o be_v you_o to_o know_v that_o these_o four_o great_a circle_n which_o we_o have_v define_v be_v still_o the_o same_o through_o the_o whole_a world_n and_o be_v say_v to_o be_v movable_a circle_n for_o so_o 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from_o the_o point_n of_o heaven_n which_o be_v direct_o over_o our_o head_n where_o we_o be_v down_o to_o the_o ground_n like_o a_o plum_n line_n and_o his_o pole_n be_v the_o end_n of_o that_o line_n call_v the_o vertical_a point_n and_o point_v opposite_a to_o the_o vertical_a the_o meridian_n be_v also_o a_o great_a circle_n pass_v from_o the_o pole_n of_o the_o world_n by_o our_o vertical_a point_n cut_v the_o horizon_n in_o the_o north_n and_o south_n point_v his_o axe_n be_v a_o line_n go_v from_o the_o east_n point_n of_o the_o horizon_n to_o the_o west_n and_o his_o pole_n be_v the_o same_o point_n and_o these_o two_o circle_n do_v always_o change_v &_o be_v diverse_a in_o every_o region_n for_o so_o much_o as_o the_o vertical_a point_n of_o every_o region_n be_v diverse_a by_o the_o which_o the_o meridian_n of_o necessity_n must_v pass_v and_o be_v the_o pole_n also_o of_o the_o horizon_n of_o the_o lesser_a circle_n of_o the_o sphere_n and_o their_o name_n and_o of_o their_o 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ecliptic_a which_o be_v so_o under_o the_o circle_n shall_v be_v call_v the_o place_n of_o that_o star_n and_o the_o star_n be_v say_v to_o be_v under_o that_o sign_n of_o who_o the_o aforesaid_a point_n be_v a_o part_n the_o longitude_n may_v also_o be_v take_v if_o you_o do_v but_o fix_v the_o quadrant_n of_o altitude_n in_o the_o pole_n of_o the_o ecliptic_a and_o stir_v not_o at_o all_o the_o meridian_n circle_n propositio_fw-la 39_o to_o find_v the_o latitude_n of_o any_o star_n the_o latitude_n of_o a_o star_n be_v the_o portion_n of_o the_o circle_n that_o pass_v from_o the_o pole_n of_o the_o ecliptic_a line_n by_o the_o centre_n of_o any_o star_n which_o be_v enclose_v betwixt_o the_o ecliptic_a line_n and_o the_o centre_n of_o the_o star_n and_o be_v find_v thus_o your_o circle_n stand_v in_o the_o pole_n of_o the_o zodiac_n as_o before_o turn_v the_o star_n under_o the_o say_a circle_n for_o then_o the_o portion_n of_o that_o circle_n betwixt_o the_o star_n and_o the_o ecliptic_a be_v his_o latitude_n and_o this_o latitude_n be_v northern_a when_o the_o star_n be_v north_n from_o the_o ecliptic_a and_o southern_a of_o contrary_n propositio_fw-la 40._o to_o find_v what_o star_n be_v above_o ground_n at_o any_o time_n of_o the_o day_n or_o night_n if_o you_o will_v know_v it_o in_o the_o day_n time_n when_o the_o sun_n shine_v then_o take_v the_o height_n of_o the_o sun_n by_o the_o 2._o proposition_n afterward_o find_v his_o place_n by_o the_o 5._o proposition_n last_o by_o help_n of_o the_o quadrant_n of_o altitude_n set_v the_o sun_n at_o his_o own_o height_n &_o coast_n and_o then_o all_o the_o star_n above_o the_o horizon_n do_v appear_v in_o the_o globe_n now_o if_o it_o be_v in_o the_o night_n and_o the_o star_n appear_v then_o take_v the_o height_n of_o some_o know_a star_n and_o place_v the_o same_o star_n at_o his_o due_a height_n in_o the_o globe_n so_o shall_v you_o see_v the_o same_o propositio_fw-la 41._o to_o do_v the_o same_o without_o sun_n or_o appearance_n of_o any_o star_n you_o must_v know_v what_o it_o be_v of_o the_o clock_n at_o that_o time_n when_o you_o will_v work_v this_o conclusion_n then_o rectify_v the_o index_n by_o the_o 14._o proposition_n last_o turn_v the_o globe_n till_o the_o index_n come_v on_o the_o same_o hour_n as_o be_v give_v by_o the_o clock_n for_o then_o the_o star_n appear_v as_o they_o shall_v propositio_fw-la 42._o to_o find_v what_o star_n will_v pass_v direct_o over_o our_o head_n in_o the_o motion_n of_o the_o heaven_n after_o that_o the_o quadrant_n of_o altitude_n be_v fix_v in_o his_o due_a place_n as_o be_v speak_v of_o before_o so_o that_o he_o now_o do_v show_v the_o zenith_n or_o vertical_a point_n then_o move_v about_o the_o globe_n and_o mark_v what_o star_n pass_v under_o the_o zenith_n in_o this_o motion_n for_o those_o be_v such_o as_o go_v by_o our_o head_n &_o be_v call_v sometime_o culminant_a star_n sometime_o vertical_a star_n and_o have_v their_o chief_a use_n in_o astrology_n propositio_fw-la 43._o to_o know_v with_o what_o degree_n of_o the_o ecliptic_a any_o star_n rise_v come_v to_o the_o meridian_n or_o set_v move_v the_o globe_n till_o the_o star_n who_o you_o propose_v ascend_v above_o the_o horizon_n and_o then_o mark_v the_o degree_n of_o the_o ecliptic_a that_o rise_v with_o he_o again_o move_v he_o to_o the_o meridian_n and_o mark_v the_o degree_n of_o the_o ecliptic_a so_o do_v by_o he_o in_o the_o west_n side_n of_o the_o horizon_n and_o you_o shall_v have_v your_o intent_n propositio_fw-la 44._o to_o know_v the_o hour_n of_o any_o star_n rise_v rectify_v the_o index_n by_o the_o 14._o proposition_n then_o turn_v the_o globe_n till_o the_o say_a star_n who_o time_n of_o rise_v you_o desire_v touch_v the_o east_n side_n of_o the_o horizon_n for_o then_o the_o index_n give_v his_o time_n of_o rise_v and_o if_o you_o turn_v he_o to_o the_o meridian_n the_o index_n will_v show_v his_o time_n of_o come_v the_o there_o or_o if_o you_o turn_v he_o to_o the_o west_n side_n of_o the_o horizon_n the_o index_n show_v his_o set_n propositio_fw-la 45._o to_o find_v in_o how_o long_a time_n any_o whole_a sign_n arise_v rectify_v the_o index_n by_o the_o fowerteenth_fw-mi proposition_n then_o put_v the_o beginning_n of_o the_o sign_n who_o time_n of_o rise_v you_o seek_v to_o the_o east_n part_n of_o the_o horizon_n and_o mark_v what_o the_o index_n stand_v on_o then_o again_o put_v the_o last_o degree_n of_o the_o say_a sign_n to_o the_o horizon_n and_o see_v what_o the_o index_n show_v for_o the_o difference_n of_o the_o two_o time_n by_o the_o index_n be_v the_o time_n in_o which_o that_o sign_n rise_v propositio_fw-la 46._o to_o find_v in_o what_o coast_n any_o star_n be_v and_o how_o many_o degree_n from_o the_o meridian_n find_v the_o star_n above_o ground_n by_o the_o 40._o proposition_n then_o the_o globe_n be_v fix_v put_v the_o quadrant_n of_o altitude_n to_o any_o state_n then_o shall_v the_o foot_n of_o the_o quadrant_n show_v in_o the_o horizon_n how_o far_o the_o same_o star_n be_v from_o east_n west_n north_n or_o south_n but_o if_o you_o first_o rectify_v your_o index_n by_o the_o 14._o proposition_n and_o then_o find_v the_o star_n above_o by_o the_o 40._o proposition_n again_o at_o the_o same_o time_n mark_v where_o the_o index_n stand_v last_o put_v any_o star_n under_o the_o meridian_n and_o again_o note_v the_o stand_n of_o the_o index_n the_o difference_n of_o those_o two_o time_n show_v by_o the_o index_n be_v the_o distance_n of_o that_o star_n from_o the_o meridian_n in_o the_o time_n of_o your_o observation_n propositio_fw-la 47._o to_o find_v what_o star_n rise_v or_o set_v any_o day_n cosmical_o achronical_o or_o helical_o such_o star_n as_o be_v near_o to_o the_o sun_n in_o any_o day_n and_o ascend_v above_o the_o horizon_n a_o little_a before_o the_o appearance_n of_o the_o same_o be_v say_v to_o rise_v helical_o and_o such_o star_n as_o set_v very_o little_a after_o the_o sun_n be_v say_v to_o set_v helical_o again_o such_o star_n as_o ascend_v together_o with_o the_o sun_n and_o such_o as_o set_v at_o the_o same_o time_n be_v say_v to_o rise_v and_o set_v cosmical_o last_o such_o star_n as_o set_v together_o with_o the_o sun_n and_o such_o as_o rise_v at_o the_o same_o time_n be_v say_v to_o set_v and_o rise_v achronical_o and_o such_o may_v be_v thus_o find_v rectify_v the_o index_n by_o the_o 14._o proposition_n and_o turn_v the_o place_n of_o the_o sun_n to_o the_o east_n side_n of_o the_o horizon_n for_o the_o star_n go_v immediate_o before_o the_o sun_n rise_v helical_o and_o those_o in_o the_o horizon_n rise_v cosmical_o and_o they_o that_o be_v in_o the_o horizon_n in_o the_o west_n do_v set_v cosmical_o and_o such_o as_o immediate_o rise_v after_o the_o sun_n do_v set_v helical_o last_o turn_v the_o sun_n to_o the_o west_n point_n of_o the_o horizon_n and_o look_v what_o star_n touch_v the_o horizon_n with_o he_o such_o set_v achronical_o and_o such_o as_o be_v at_o the_o same_o time_n rise_v in_o the_o east_n rise_v achronical_o propositio_fw-la 48._o to_o know_v the_o hour_n of_o the_o night_n at_o any_o time_n by_o the_o star_n rectify_v the_o index_n by_o the_o 14._o proposition_n than_o again_o find_v what_o star_n be_v above_o ground_n at_o the_o same_o time_n when_o you_o will_v know_v the_o hour_n by_o the_o 40._o proposition_n for_o then_o the_o index_n will_v show_v the_o hour_n propositio_fw-la 49_o to_o find_v the_o four_o cardinal_n point_n of_o heaven_n at_o any_o time_n of_o day_n or_o night_n the_o four_o cardinal_n point_n be_v the_o four_o degree_n of_o the_o ecliptic_a where_o of_o one_o be_v in_o the_o east_n rise_v a_o other_o be_v in_o the_o south_n or_o under_o the_o meridian_n above_o at_o the_o same_o time_n the_o three_o in_o the_o west_n set_v and_o the_o four_o under_o the_o meridian_n beneath_o ground_n all_o at_o one_o instant_a in_o the_o time_n of_o any_o geniture_n or_o motion_n of_o any_o question_n and_o be_v thus_o know_v if_o you_o seek_v they_o in_o the_o day_n the_o sun_n shine_v then_o find_v the_o star_n above_o ground_n by_o the_o 40._o proposition_n and_o with_o all_o mark_n the_o degree_n of_o the_o ecliptic_a in_o the_o east_n so_o likewise_o in_o the_o south_n west_n and_o north_n for_o those_o be_v then_o the_o cardinal_n point_v again_o if_o it_o be_v in_o the_o night_n then_o find_v the_o star_n above_o by_o the_o same_o 40._o proposition_n and_o the_o point_n shall_v likewise_o appear_v last_o if_o nether_a the_o sun_n shine_v or_o star_n then_o know_v the_o hour_n by_o the_o clock_n and_o afterward_o find_v the_o star_n
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