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centre_n of_o the_o sun_n or_o star_n in_o the_o time_n of_o his_o observation_n and_o the_o horizon_n which_o height_n be_v thus_o find_v take_v your_o astrolabe_n and_o let_v he_o hang_v free_o by_o his_o ring_n then_o turn_v up_o his_o dioptral_a so_o long_o that_o you_o see_v the_o star_n who_o height_n you_o seek_v through_o his_o sight_n for_o then_o how_o many_o degree_n and_o minute_n be_v enclose_v betwixt_o the_o dioptrall_a and_o the_o line_n of_o your_o astrolabe_n which_o be_v parallel_n to_o the_o horizon_n so_o many_o have_v that_o star_n of_o height_n as_o the_o seven_o day_n of_o januarie_n anno._n 1585._o under_o the_o meridian_n of_o oxford_n at_o 9_o of_o the_o clock_n i_o seek_v the_o height_n of_o the_o sun_n take_v then_o my_o astrolabe_n and_o hang_v he_o toward_o the_o sun_n and_o raise_v his_o dioptrall_a till_o i_o espy_v the_o sun_n i_o find_v betwixt_o the_o dioptral_a and_o the_o line_n represent_v the_o horizon_n seven_o degree_n and_o 16._o minute_n so_o much_o be_v the_o height_n of_o the_o sun_n at_o that_o time_n propositio_fw-la 3._o to_o take_v the_o altitude_n of_o the_o pole_n in_o in_o any_o place_n or_o country_n the_o altitude_n of_o the_o pole_n be_v the_o portion_n of_o the_o meridian_n circle_v enclose_v betwixt_o the_o pole_n and_o the_o horizon_n and_o be_v thus_o find_v find_v a_o meridian_n line_n and_o draw_v he_o in_o the_o horizon_n by_o the_o first_o proposition_n then_o take_v the_o height_n of_o any_o fix_a star_n which_o set_v not_o and_z that_o at_o the_o fore_a part_n of_o the_o night_n at_o such_o time_n as_o he_o be_v point_v upon_o your_o meridian_n line_n by_o the_o second_o proposition_n again_o the_o next_o morning_n or_o any_o other_o morning_n take_v the_o height_n of_o
proposition_n then_o subduce_v the_o less_o from_o the_o great_a for_o the_o remain_v be_v the_o difference_n of_o ascension_n propositio_fw-la 10._o to_o find_v the_o length_n of_o the_o artificial_a day_n in_o any_o region_n or_o country_n find_v out_o the_o difference_n of_o ascension_n of_o the_o place_n of_o the_o sun_n by_o the_o 9_o proposition_n and_o double_a the_o same_o then_o convert_n be_v all_o into_o hour_n and_o part_n of_o hour_n allow_v for_o one_o hour_n 15._o degree_n and_o for_o a_o half_a 7._o degree_n 30._o minute_n etc._n etc._n this_o time_n which_o come_v of_o the_o difference_n of_o ascension_n add_v to_o 12._o hour_n if_o the_o place_n of_o the_o sun_n be_v any_o degree_n betwixt_o aries_n and_o libra_n or_o subduct_v it_o from_o 12._o if_o he_o be_v betwixt_o libra_n and_o aries_n for_o the_o number_n make_v or_o leave_v be_v the_o length_n of_o the_o day_n as_o the_o sun_n be_v in_o the_o first_o of_o tanrus_n his_o difference_n of_o ascension_n be_v 15._o 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the_o 7._o day_n of_o march._n to_o be_v 24._o dedree_n 25._o min._n and_o at_o one_o of_o the_o clock_n the_o same_o day_n to_o be_v 34._o degree_n 51._o min._n propositio_fw-la 18._o by_o any_o height_n of_o the_o sun_n give_v and_o his_o place_n to_o find_v the_o hour_n of_o the_o day_n let_v it_o be_v that_o either_o you_o take_v the_o height_n of_o the_o sun_n at_o some_o time_n of_o the_o day_n by_o the_o second_o proposition_n or_o that_o you_o have_v some_o height_n of_o he_o give_v by_o supposition_n and_o you_o will_v know_v by_o it_o what_o it_o be_v of_o the_o clock_n that_o day_n at_o that_o time_n find_v therefore_o the_o place_n of_o the_o sun_n for_o that_o day_n by_o the_o 5._o proposition_n &_o rectify_v the_o index_n by_o the_o 14._o proposition_n last_o put_v the_o place_n of_o the_o sun_n to_o the_o quadrant_n of_o altitude_n and_o move_v they_o both_o up_o and_o down_o till_o you_o allow_v he_o the_o same_o height_n in_o your_o quadrant_n as_o you_o find_v or_o 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his_o index_n stand_v on_o the_o hour_n which_o be_v know_v before_o then_o fix_v the_o globe_n for_o remove_v last_o turn_v your_o quadrant_n of_o altitude_n to_o the_o ecliptic_a line_n and_o look_v what_o degree_n of_o the_o ecliptic_a agree_v in_o your_o quadrant_n with_o the_o height_n that_o be_v before_o know_v and_o that_o be_v the_o place_n of_o the_o sun_n on_o that_o day_n propositio_fw-la 20._o the_o hour_n and_o place_n of_o the_o sun_n be_v give_v to_o find_v how_o far_o the_o sun_n be_v go_v from_o the_o true_a east_n point_n the_o place_n of_o the_o sun_n be_v give_v by_o supposition_n 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 index_n show_v the_o hour_n give_v this_o be_v do_v fix_v the_o globe_n that_o he_o move_v not_o away_o and_o set_v the_o edge_n of_o the_o quadrant_n of_o altitude_n to_o the_o place_n of_o the_o sun_n and_o withal_o mark_v how_o many_o degree_n of_o the_o horizon_n be_v enclose_v betwixt_o the_o true_a east_n point_n and_o the_o edge_n of_o the_o quadrant_n at_o such_o time_n as_o he_o stand_v on_o the_o place_n of_o the_o sun_n for_o so_o much_o be_v he_o distant_a in_o the_o horizon_n from_o true_a east_n propositio_fw-la 21._o the_o distance_n of_o the_o sun_n be_v give_v from_o true_a east_n together_o with_o his_o height_n at_o the_o same_o time_n and_o the_o height_n of_o the_o pole_n for_o the_o same_o region_n to_o find_v the_o true_a place_n of_o the_o sun_n at_o any_o time_n to_o the_o end_n we_o make_v not_o unnecessary_a repetition_n of_o the_o first_o principle_n know_v this_o that_o in_o all_o the_o proposition_n follow_v we_o always_o suppose_v before_o the_o work_n the_o globe_n right_o rectify_v as_o be_v specify_v in_o the_o beginning_n for_o the_o performance_n therefore_o of_o this_o practice_n first_o consider_v diligent_o in_o what_o quarter_n of_o the_o year_n you_o be_v in_o that_o be_v whether_o it_o be_v betwixt_o the_o equinoctial_a of_o 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from_o the_o height_n till_o the_o equinoctial_a of_o september_n answer_v the_o part_n from_o cancer_n to_o libra_n the_o autumn_n be_v guide_v by_o the_o quarter_n from_o libra_n to_o capricorn_n and_o winter_n by_o the_o sign_n from_o capricorn_n to_o aries_n propositio_fw-la 22._o the_o distance_n of_o the_o sun_n be_v give_v from_o true_a east_n and_o the_o place_n of_o the_o same_o to_o find_v the_o height_n of_o the_o sun_n which_o he_o have_v at_o the_o same_o time_n place_v the_o quadrant_a of_o altitude_n at_o the_o true_a distance_n from_o east_n so_o shall_v he_o cut_v the_o place_n of_o the_o sun_n by_o the_o 21._o proposition_n and_o therefore_o the_o portion_n of_o the_o quadrant_n betwixt_o the_o place_n of_o the_o sun_n and_o the_o horizon_n be_v his_o height_n propositio_fw-la 23._o the_o distance_n of_o the_o sun_n from_o true_a east_n be_v give_v and_o his_o place_n to_o find_v the_o hour_n of_o the_o day_n first_o have_v his_o place_n rectify_v your_o index_n by_o the_o 14._o proposition_n again_o set_v the_o quadrant_n of_o altitude_n in_o the_o distance_n from_o true_a east_n reduce_v the_o place_n of_o the_o sun_n till_o he_o fall_v in_o the_o edge_n of_o the_o quadrant_n for_o then_o the_o index_n do_v show_v the_o hour_n propositio_fw-la 24._o the_o distance_n of_o the_o sun_n be_v give_v from_o true_a east_n and_o his_o height_n to_o find_v the_o time_n of_o his_o rise_n the_o distance_n be_v give_v find_v his_o place_n by_o the_o 21_o proposition_n and_o then_o rectify_v the_o index_n by_o the_o 14_o proposition_n last_o put_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 then_o the_o index_n will_v show_v the_o sun_n rise_v propositio_fw-la 25._o the_o distance_n of_o the_o sun_n be_v give_v from_o true_a east_n and_o his_o height_n to_o find_v his_o declination_n the_o distance_n be_v give_v his_o place_n be_v find_v by_o the_o 21._o proposition_n &_o his_o place_n be_v know_v give_v his_o declination_n by_o the_o 6._o proposition_n so_o may_v we_o likewise_o by_o the_o say_a distance_n find_v his_o place_n find_v his_o right_n or_o crooked_a ascension_n or_o difference_n of_o ascension_n and_o length_n of_o artificial_a day_n propositio_fw-la 26._o the_o declination_n of_o the_o sun_n be_v know_v to_o find_v the_o place_n of_o the_o sun_n consider_v first_o diligent_o in_o what_o quarter_n of_o the_o year_n you_o be_v in_o as_o be_v express_v before_o then_o take_v that_o quarter_n of_o the_o ecliptic_a which_o answer_v to_o your_o quarter_n of_o the_o year_n and_o move_v it_o still_o under_o the_o meridian_n of_o your_o globe_n till_o you_o find_v no_o more_o of_o the_o meridian_n enclose_v betwixt_o the_o aequator_fw-la and_o ecliptic_a than_o the_o declination_n that_o be_v give_v come_v unto_o for_o then_o look_v what_o degree_n of_o the_o ecliptic_a be_v under_o the_o meridian_n that_o be_v the_o place_n of_o the_o sun_n as_o the_o declination_n of_o the_o sun_n 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the_o same_o star_n at_o such_o time_n as_o he_o be_v point_v with_o your_o meridian_n line_n then_o subduct_v the_o less_o altitude_n from_o the_o great_a and_o divide_v the_o difference_n into_o two_o equal_a part_n last_o add_v half_o the_o difference_n to_o the_o less_o altitude_n so_o the_o whole_a number_n make_v give_v the_o altitude_n of_o the_o pole_n as_o at_o oxford_n i_o take_v the_o height_n of_o a_o star_n in_o the_o before_o part_n of_o a_o night_n in_o winter_n be_v the_o ten_o of_o december_n 1584._o at_o what_o time_n he_o be_v point_v with_o my_o meridian_n and_o find_v his_o height_n 55._o degree_n 59_o minute_n again_o the_o next_o morning_n i_o take_v his_o height_n and_o find_v it_o 47._o degree_n 41._o minute_n this_o less_o altitude_n i_o subourt_v from_o the_o great_a 55._o degree_n 59_o minute_n and_o the_o difference_n be_v 8._o degree_n 18._o minute_n which_o be_v part_v have_v 4._o for_o his_o half_n and_o 9_o minute_n this_o half_a add_v to_o 47._o degree_n 41._o min._n the_o less_o altitude_n give_v 51._o degree_n 50._o minute_n for_o the_o true_a elevation_n of_o the_o pole_n at_o oxford_n propositio_fw-la 4._o to_o rectify_v the_o globe_n perfect_o for_o to_o be_v use_v know_v first_o the_o elevation_n of_o the_o pole_n of_o heaven_n for_o the_o place_n where_o you_o use_v the_o globe_n by_o the_o three_o proposition_n then_o erect_v the_o pole_n of_o the_o globe_n so_o many_o degree_n above_o his_o horizon_n as_o the_o pole_n of_o heaven_n be_v elevate_v again_o level_v the_o horizon_n of_o your_o globe_n by_o his_o hang_a plummet_n last_o turn_v his_o meridian_n to_o the_o south_n by_o help_n of_o his_o needle_n and_o put_v his_o quadrant_n of_o altitude_n upon_o the_o 90._o degree_n from_o his_o horizon_n for_o then_o the_o meridian_n answer_v to_o the_o meridian_n of_o heaven_n axe_n to_o axe_n and_o pole_n to_o pole_n as_o be_v require_v but_o this_o way_n of_o set_v he_o south_n albeit_o it_o be_v of_o antiquity_n yet_o 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answare_v against_o it_o and_o therefore_o that_o be_v then_o the_o place_n of_o the_o sun_n propositio_fw-la 6._o to_o find_v the_o declination_n of_o any_o point_n of_o the_o ecliptic_a or_o of_o the_o sun_n at_o any_o tyme._n the_o declination_n of_o any_o point_n of_o the_o ecliptic_a sun_n or_o any_o star_n be_v the_o portion_n of_o the_o meridian_n circle_n enclose_v betwixt_o the_o aequinoctial_a and_o the_o sayâ—_n point_n sun_n or_o star_n and_o be_v find_v thus_o turn_v the_o point_n who_o declination_n yet_o seek_v to_o the_o meridian_n of_o the_o globe_n and_o there_o see_v how_o many_o degree_n and_o minute_n there_o be_v of_o your_o meridian_n enclose_v betwixt_o the_o say_a point_n and_o the_o aequinoctial_a for_o so_o much_o be_v the_o declination_n so_o have_v the_o sun_n in_o the_o 5._o of_o aries_n 2._o degree_n declination_n and_o the_o 7._o of_o taurus_n 13._o degree_n 52._o minute_n and_o this_o declination_n be_v call_v northern_a when_o the_o point_n be_v of_o the_o north_n side_n the_o aequinoctial_a and_o southern_a if_o of_o the_o south_n side_n here_o must_v you_o also_o know_v that_o two_o point_n of_o the_o ecliptic_a want_n declination_n and_o be_v the_o two_o aequinoctial_o two_o have_v great_a declination_n than_o anyother_n and_o be_v the_o two_o solstitial_o of_o the_o rest_n four_o have_v like_o declination_n propositio_fw-la 7._o to_o find_v the_o right_a ascension_n of_o the_o sun_n or_o any_o point_n of_o the_o ecliptic_a line_n the_o right_a ascension_n of_o any_o star_n sun_n or_o any_o point_n of_o the_o ecliptic_a be_v the_o portion_n of_o the_o aequinoctial_a circle_n from_o the_o head_n of_o aries_n where_o the_o aequinoctial_a take_v his_o beginning_n and_o that_o point_n or_o degree_n of_o the_o same_o which_o meet_v with_o the_o say_a star_n sun_n or_o ecliptic_a point_n under_o the_o meridian_n circle_n in_o a_o crooked_a sphere_n be_v number_v orderly_o in_o the_o aequinoctial_a and_o be_v thus_o find_v turn_v the_o star_n sun_n or_o any_o point_n who_o ascension_n you_o look_v under_o the_o meridian_n of_o the_o globe_n and_o see_v then_o what_o portion_n of_o the_o aequator_fw-la be_v from_o the_o head_n of_o aries_n to_o that_o point_n of_o the_o aequator_fw-la which_o stand_v then_o under_o the_o meridian_n for_o the_o same_o portion_n be_v the_o right_a ascension_n of_o the_o star_n sun_n or_o point_n look_v for_o so_o do_v i_o find_v the_o right_a ascension_n of_o boötes_n a_o star_n to_o be_v 209._o degree_n 1._o minute_n and_o the_o right_a ascension_n of_o the_o sun_n when_o he_o be_v in_o the_o first_o of_o taurus_n to_o be_v 27._o degree_n 54._o minute_n and_o the_o right_a ascension_n of_o the_o first_o of_o sagitarie_a to_o be_v 237._o degree_n 48._o minute_n propositio_fw-la 8._o to_o find_v the_o crooked_a ascension_n of_o the_o sun_n star_n or_o any_o point_n of_o the_o ecliptic_a the_o crooked_a ascension_n of_o the_o sun_n be_v that_o ark_n of_o the_o aequator_fw-la which_o be_v enclose_v betwixt_o the_o beginning_n of_o the_o aequator_fw-la and_o the_o point_n of_o the_o same_o which_o come_v up_o with_o the_o sun_n in_o a_o crooked_a sphere_n &_o be_v find_v thus_o take_v the_o sun_n star_n or_o point_n who_o crooked_a ascension_n you_o desire_v and_o put_v he_o to_o the_o east_n side_n of_o the_o horizon_n till_o it_o touch_v then_o mark_v what_o part_n of_o the_o aequator_fw-la be_v enclose_v betwixt_o the_o beginning_n of_o it_o and_o the_o point_n now_o in_o the_o horizon_n for_o so_o much_o be_v the_o crooked_a ascension_n of_o the_o sun_n star_n or_o point_n thâ—…_n do_v i_o find_v the_o crooked_a ascension_n of_o the_o sun_n in_o the_o first_o of_o taurus_n to_o be_v the_o 12._o degree_n 48._o minute_n all_o this_o be_v in_o the_o elevation_n 52._o degree_n 0._o minute_n propositio_fw-la 9_o to_o find_v the_o difference_n of_o ascension_n or_o increase_v of_o the_o day_n the_o sun_n be_v in_o one_o and_o the_o self_n same_o point_n of_o the_o 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sphere_n where_o the_o pole_n be_v elevate_v 52._o degree_n there_o rise_v with_o the_o sun_n the_o same_o day_n the_o 12._o degree_n 48._o minute_n of_o the_o aequator_fw-la subduct_v now_o the_o less_o from_o the_o great_a the_o difference_n be_v 15._o degree_n 6._o minute_n and_o be_v call_v the_o difference_n of_o ascension_n and_o because_o the_o artificial_a day_n of_o the_o crooked_a sphere_n be_v long_a or_o short_a than_o the_o aequinoctial_a day_n by_o twice_o this_o difference_n therefore_o the_o difference_n of_o ascension_n be_v call_v also_o the_o increase_n of_o the_o day_n and_o this_o difference_n be_v thus_o find_v find_v the_o right_a ascension_n of_o the_o sun_n by_o the_o 7._o proposition_n and_o again_o find_v his_o crooked_a ascension_n by_o the_o 9_o
other_o who_o cohaerence_n be_v not_o so_o natural_a propositio_fw-la 31._o an_o other_o way_n to_o find_v the_o length_n of_o the_o artificial_a day_n or_o night_n find_v the_o time_n of_o the_o sun_n rise_v for_o your_o day_n propose_v by_o the_o 12._o proposition_n then_o double_a all_o those_o hour_n and_o part_n of_o time_n which_o be_v from_o sun_n rise_v till_o noon_n for_o it_o give_v the_o artificial_a day_n or_o if_o you_o number_v all_o the_o hour_n and_o part_n from_o sun_n rise_v to_o his_o set_n it_o give_v the_o same_o propositio_fw-la 32._o to_o find_v the_o hour_n of_o the_o day_n place_v the_o globe_n in_o the_o sun_n shine_v and_o rectify_v he_o to_o his_o use_n by_o the_o 4._o proposition_n then_o find_v the_o place_n of_o the_o sun_n by_o the_o 5._o proposition_n again_o rectify_v his_o index_n by_o the_o 14._o proposition_n last_o 〈◊〉_d the_o needle_n or_o pin_n direct_o up_o in_o the_o place_n of_o the_o sun_n then_o turn_v the_o globe_n up_o till_o the_o pin_n cast_v no_o shadow_n for_o then_o the_o index_n show_v what_o be_v then_o of_o the_o clock_n propositio_fw-la 33._o to_o find_v the_o elevation_n of_o the_o pole_n in_o any_o place_n draw_v in_o the_o open_a air_n upon_o some_o table_n that_o be_v level_a a_o meridian_n line_n by_o the_o 1._o proposition_n and_o place_v the_o globe_n so_o on_o it_o that_o his_o meridian_n circle_n hang_v direct_o â—uer_o it_o then_o have_v the_o place_n of_o the_o sun_n set_v a_o pin_n right_o up_o in_o it_o and_o put_v the_o say_a place_n and_o pin_n close_o to_o the_o meridian_n circle_n last_o lift_v up_o the_o pole_n and_o meridian_n circle_n till_o the_o pin_n cast_v no_o shadow_n for_o then_o the_o degree_n betwixt_o the_o pole_n and_o the_o horizon_n be_v the_o true_a elevation_n of_o that_o place_n but_o this_o practice_n be_v to_o be_v perform_v at_o noon_n only_o or_o height_n of_o the_o day_n propositio_fw-la 34._o an_o other_o way_n to_o do_v the_o same_o take_v the_o height_n of_o any_o fix_a star_n who_o you_o know_v by_o the_o 2._o proposition_n at_o such_o time_n as_o he_o point_v with_o the_o meridian_n line_n then_o take_v the_o same_o star_n on_o the_o globe_n and_o by_o help_n of_o your_o quadrant_n or_o meridian_n circle_n cause_v he_o to_o have_v the_o same_o altitude_n in_o the_o globe_n and_o withal_o to_o be_v under_o the_o meridian_n of_o the_o globe_n for_o they_o be_v the_o pole_n at_o his_o true_a elevation_n so_o do_v i_o find_v the_o pole_n star_n make_v my_o observation_n at_o oxford_n the_o 11._o of_o december_n 1584._o by_o the_o plain_a sphere_n to_o have_v 55._o degree_n 59_o minute_n in_o altitude_n be_v they_o in_o the_o meridian_n of_o heaven_n and_o when_o i_o set_v he_o at_o the_o same_o in_o my_o globe_n i_o find_v the_o pole_n elevate_v there_o 51._o degree_n 50._o minute_n and_o here_o you_o be_v to_o know_v that_o when_o soever_o you_o have_v by_o any_o way_n the_o elevation_n of_o the_o pole_n in_o any_o place_n if_o you_o subduct_v the_o same_o elevation_n from_o 90._o degree_n it_o shall_v leave_v and_o sheâ—…_n the_o elevation_n of_o the_o aequator_fw-la in_o the_o say_a place_n so_o then_o the_o elevation_n of_o the_o aequator_fw-la at_o oxford_n be_v 38._o degree_n 10._o minute_n propositio_fw-la 35._o an_o other_o way_n of_o work_v the_o same_o with_o more_o praecisenes_n first_o learn_v by_o some_o good_a ephemeris_fw-la the_o precise_a place_n of_o the_o sun_n at_o noon_n in_o the_o day_n of_o your_o observation_n then_o again_o learn_v the_o exact_a declination_n of_o the_o say_a place_n last_o with_o your_o 〈◊〉_d take_v the_o meridian_n height_n of_o the_o sun_n that_o day_n and_o if_o the_o declination_n be_v northern_a then_o subduct_v it_o from_o the_o meridian_n altitude_n but_o if_o it_o be_v southern_a then_o add_v it_o to_o the_o meridian_n altitude_n so_o shall_v we_o bring_v forth_o the_o altitude_n of_o the_o aequator_fw-la and_o this_o altitude_n be_v subduct_v from_o 90._o degree_n leave_v the_o altitude_n of_o the_o pole_n but_o if_o the_o sun_n in_o the_o time_n of_o observation_n be_v in_o the_o aequinoctial_a point_n then_o be_v the_o meridian_n altitude_n the_o altitude_n also_o of_o the_o aequator_fw-la and_o it_o subduct_v from_o 90._o degree_n leave_v the_o altitude_n of_o the_o pole_n propositio_fw-la 36._o to_o make_v a_o horizontall_a dial_n by_o the_o globe_n a_o horizontall_a dial_n be_v such_o a_o one_o as_o be_v make_v in_o a_o plain_a superficies_n and_o lie_v level_a with_o the_o horizon_n for_o make_v whereof_o you_o be_v to_o consider_v that_o from_o one_o pole_n of_o the_o globe_n to_o the_o other_o go_v twelve_o great_a circle_n call_v hour_n circle_n and_o divide_v the_o aequator_fw-la into_o 24._o equal_a part_n and_o two_o of_o these_o be_v two_o colour_n put_v therefore_o the_o solstitial_a colour_n precise_o under_o the_o meridian_n of_o your_o globe_n the_o globe_n be_v first_o perfect_o rectify_v and_o fix_v the_o globe_n so_o that_o he_o can_v move_v now_o mark_v how_o many_o degree_n of_o the_o horizon_n be_v enclose_v betwixt_o the_o meridian_n and_o the_o next_o hour_n circle_n towards_o the_o east_n which_o for_o distinction_n sake_n i_o call_v the_o second_o hour_n circle_n so_o likewise_o betwixt_o the_o first_o &_o three_o the_o first_o &_o four_o the_o first_o and_o five_o the_o first_o and_o sixth_o the_o first_o and_o seven_o which_o be_v he_o that_o cut_v in_o the_o true_a east_n point_n and_o set_v they_o all_o down_o in_o table_n then_o draw_v on_o some_o plain_a thing_n a_o circle_n and_o divide_v it_o into_o four_o quarter_n by_o draw_v two_o cross_a line_n now_o take_v the_o one_o end_n of_o any_o of_o the_o two_o line_n and_o term_v it_o the_o north_n point_n so_o shall_v his_o other_o end_n be_v the_o south_n point_n and_o the_o end_n of_o the_o other_o line_n east_n and_o west_n again_o divide_v that_o quarter_n of_o this_o circle_n which_o be_v betwixt_o the_o north_n point_n and_o east_n into_o 90._o equal_a part_n and_o let_v 90._o stand_v at_o the_o east_n so_o do_v by_o the_o quarter_n betwixt_o north_n and_o west_n last_o reckon_v from_o the_o north_n point_n towards_o east_n so_o many_o degree_n as_o your_o table_n show_v to_o have_v 〈◊〉_d betwixt_o the_o first_o and_o second_o hour_n line_n and_o from_o the_o point_n where_o they_o end_v draw_v a_o line_n by_o the_o centre_n of_o the_o say_a circle_n and_o so_o do_v by_o all_o the_o number_n of_o your_o table_n for_o so_o shall_v you_o have_v your_o hour_n line_n draw_v for_o a_o horizontall_a dial_n in_o who_o centre_n must_v be_v a_o stile_n exect_v according_a to_o the_o elevation_n of_o your_o pole_n but_o this_o i_o leave_v obscure_a as_o meaning_n to_o set_v out_o a_o ample_a treatise_n of_o dial_v by_o itself_o propositio_fw-la 37._o how_o the_o star_n may_v be_v know_v by_o the_o globe_n of_o heaven_n rectify_v your_o globe_n in_o the_o open_a air_n by_o the_o 4._o proposition_n they_o take_v the_o height_n of_o any_o know_a star_n by_o your_o instrument_n afterward_o look_v the_o same_o star_n on_o the_o globe_n and_o by_o help_n of_o your_o quadrant_n of_o altitude_n put_v the_o same_o star_n at_o his_o height_n take_v before_o and_o in_o the_o same_o coast_n &_o then_o fix_v the_o globe_n now_o if_o you_o will_v know_v any_o other_o star_n of_o heaven_n then_o take_v the_o same_o star_n his_o height_n with_o your_o instrument_n last_o turn_v your_o quadrant_n of_o altitude_n towards_o the_o same_o coast_n of_o the_o globe_n in_o which_o the_o star_n be_v in_o &_o look_v what_o star_n you_o find_v in_o that_o coast_n to_o have_v that_o altitude_n the_o same_o be_v he_o who_o you_o seek_v the_o like_a be_v to_o be_v do_v by_o all_o other_o propositio_fw-la 38._o to_o find_v the_o longitude_n of_o any_o fix_a star_n the_o longitude_n of_o a_o star_n be_v the_o portion_n of_o the_o ecliptic_a line_n take_v from_o the_o head_n of_o aries_n according_a to_o the_o order_n of_o the_o sign_n to_o the_o point_n of_o the_o ecliptic_a cut_v by_o a_o circle_n which_o pass_v from_o the_o pole_n of_o the_o ecliptic_a by_o the_o centre_n of_o the_o say_a star_n and_o be_v thus_o find_v take_v the_o globe_n from_o his_o horizon_n and_o take_v of_o his_o meridian_n circle_n and_o fix_v the_o same_o circle_n by_o some_o mean_n on_o the_o pole_n of_o the_o zodiac_n then_o turn_v the_o star_n who_o longitude_n you_o seek_v under_o the_o circle_n and_o reckon_v all_o the_o sign_n and_o part_n from_o the_o head_n of_o aries_n to_o that_o point_n of_o the_o ecliptic_a which_o be_v under_o the_o circle_n with_o the_o star_n for_o so_o much_o be_v his_o longitude_n and_o the_o same_o point_n of_o the_o