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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touch_v the_o same_o for_o then_o the_o number_n of_o degree_n in_o the_o horizon_n enclose_v betwixt_o the_o true_a east_n point_n and_o the_o place_n of_o the_o sun_n show_v how_o far_o he_o rise_v and_o set_v from_o the_o true_a east_n and_o this_o portion_n of_o the_o horizon_n be_v call_v his_o breadth_n of_o rise_v and_o be_v call_v northern_a breadth_n if_o the_o sun_n rise_v beyond_o the_o east_n point_n towards_o the_o north_n &_o southern_a if_o contrary_a likewise_o be_v you_o to_o know_v that_o of_o the_o ecliptic_a two_o point_n aries_n and_o libra_n have_v no_o breadth_n of_o rise_v two_o point_n also_o as_o cancer_n and_o capricorn_n have_v great_a than_o any_o other_o and_o of_o the_o rest_n four_o point_n have_v the_o like_a propositio_fw-la 14._o to_o rectify_v the_o index_n of_o the_o hour_n circle_v every_o day_n as_o he_o ought_v find_v the_o place_n of_o the_o sun_n every_o day_n in_o which_o you_o use_v the_o index_n by_o the_o 5._o proposition_n and_o put_v the_o say_a place_n under_o the_o meridian_n this_o be_v do_v they_o put_v the_o index_n on_o 12._o of_o the_o clock_n for_o afterward_o in_o the_o motion_n of_o the_o globe_n he_o will_v go_v true_a as_o he_o ought_v propositio_fw-la 15._o to_o find_v the_o noon_n height_n of_o the_o sun_n for_o any_o day_n to_o come_v or_o go_v in_o any_o place_n who_o elevation_n be_v know_v the_o height_n of_o the_o sun_n be_v the_o portion_n of_o the_o vertical_a circle_n enclose_v betwixt_o the_o centre_n of_o the_o sun_n and_o the_o horizon_n but_o for_o as_o much_o as_o at_o noon_n the_o meridian_n and_o the_o vertical_a of_o the_o sun_n be_v all_o one_o circle_n therefore_o his_o noon_n height_n be_v the_o portion_n of_o the_o meridian_n betwixt_o the_o centre_n of_o the_o sun_n and_o the_o horizon_n this_o height_n be_v thus_o to_o be_v know_v find_v the_o place_n of_o the_o sun_n for_o the_o day_n propose_v and_o turn_v the_o same_o place_n under_o the_o meridian_n for_o then_o the_o 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horizon_n show_v his_o depression_n so_o find_v i_o the_o depression_n of_o the_o sun_n at_o oxford_n his_o place_n be_v the_o first_o of_o taurus_n to_o be_v 27._o degree_n 40._o min._n but_o his_o place_n be_v the_o first_o of_o scorpius_n to_o be_v 50._o degree_n 0._o min._n propositio_fw-la 17._o to_o find_v what_o height_n the_o sun_n shall_v have_v at_o any_o certain_a hour_n of_o any_o artificial_a day_n take_v the_o place_n of_o the_o sun_n by_o the_o 5._o proposition_n &_o rectify_v the_o index_n by_o the_o 14._o pro._n then_o turn_v the_o globe_n till_o the_o index_n of_o the_o hour_n circle_v be_v on_o the_o hour_n for_o who_o you_o desire_v the_o height_n of_o the_o sun_n and_o scop_v the_o globe_n there_o put_v the_o quadrant_a of_o altitude_n to_o the_o place_n of_o the_o sun_n for_o his_o portion_n betwixt_o the_o place_n of_o thâ—_n sun_n &_o the_o horizon_n geve_v his_o height_n so_o find_v i_o the_o height_n of_o the_o sun_n at_o oxford_n at_o 9_o of_o the_o clock_n 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 suppose_v he_o in_o truth_n to_o have_v for_o then_o the_o index_n of_o the_o hour_n circle_n show_v what_o be_v or_o be_v of_o the_o clock_n as_o find_v the_o height_n of_o the_o sun_n before_o noon_n on_o the_o seven_o of_o march_n at_o oxford_n to_o be_v twenty_o four_o degree_n 25._o min._n i_o find_v it_o to_o have_v be_v then_o nine_o of_o the_o clock_n propositio_fw-la 19_o by_o the_o hour_n know_v and_o the_o height_n of_o the_o sun_n at_o that_o hour_n together_o with_o the_o index_n rectify_v as_o he_o ought_v to_o find_v the_o place_n of_o the_o sun_n at_o that_o tyme._n move_v your_o globe_n till_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 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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 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motion_n be_v so_o little_a in_o their_o own_o sphere_n in_o many_o year_n that_o they_o may_v seem_v not_o to_o have_v move_v at_o all_o in_o a_o man_n be_v his_o age_n from_o their_o place_n under_o which_o they_o be_v of_o the_o first_fw-mi movable_a therefore_o they_o may_v be_v suppose_v to_o stand_v in_o it_o second_o the_o globe_n represent_v the_o star_n to_o we_o in_o his_o connexitie_n which_o appear_v in_o heaven_n in_o the_o concavitie_n for_o that_o our_o eye_n be_v not_o in_o the_o globe_n but_o without_o furthermore_o in_o the_o globe_n beside_o the_o aforenamed_a circle_n be_v find_v three_o other_o of_o brass_n the_o one_o be_v a_o perfect_a circle_n of_o a_o little_a quantity_n place_v about_o the_o pole_n which_o be_v elevate_v &_o be_v call_v the_o hour_n circle_n who_o stile_n be_v call_v the_o index_n a_o other_o be_v a_o thin_a rule_n of_o brass_n represent_v one_o quarter_n of_o a_o whole_a circle_n call_v the_o quadrant_a of_o altitude_n and_o be_v always_o 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axe_n of_o heaven_n now_o to_o the_o levy_v of_o the_o horizon_n there_o ought_v to_o be_v at_o your_o globe_n a_o hang_a plummet_n and_o for_o the_o meridian_n a_o needle_n touch_v of_o the_o load_n stone_n and_o touch_v the_o rectify_v of_o the_o pole_n and_o axe_n of_o the_o globe_n the_o elevation_n of_o the_o pole_n of_o heaven_n be_v first_o to_o be_v know_v the_o mean_n to_o perform_v and_o accomplish_v the_o same_o be_v such_o as_o follow_v propositio_fw-la 1._o to_o find_v a_o meridian_n line_n in_o any_o place_n appoint_v set_v up_o on_o your_o horizon_n or_o some_o plain_a levy_a board_n a_o gnomon_n of_o any_o reasonable_a length_n then_o at_o such_o time_n as_o the_o same_o shine_v describe_v from_o the_o top_n of_o your_o gnomon_n a_o circle_n by_o the_o tip_n of_o his_o shadow_n and_o make_v a_o mark_n in_o the_o circle_n where_o the_o shadow_n end_v at_o your_o observation_n which_o must_v be_v before_o noon_n then_o mark_v in_o the_o afternoon_n at_o what_o time_n the_o end_n of_o the_o shadow_n return_v into_o the_o same_o circle_n again_o and_o make_v a_o mark_n at_o his_o point_n of_o fall_v so_o shall_v you_o have_v a_o portion_n of_o the_o say_a circle_n enclose_v betwixt_o the_o two_o point_n if_o then_o you_o divide_v this_o portion_n into_o two_o aequal_a part_n and_o draw_v a_o line_n from_o this_o middle_a point_n by_o the_o point_n in_o which_o the_o gnomon_n stand_v it_o shall_v be_v a_o meridian_n line_n propositio_fw-la 2._o to_o take_v the_o height_n of_o any_o star_n from_o the_o point_n of_o heaven_n which_o be_v direct_o over_o our_o head_n be_v call_v the_o vertical_a point_n or_o zenith_n be_v imagine_v diverse_a circle_n to_o fall_v by_o every_o degree_n and_o minute_n of_o the_o horizon_n all_o which_o circle_n be_v call_v vertical_n &_o serve_v for_o the_o height_n of_o star_n for_o so_o much_o as_o the_o altitude_n of_o sun_n or_o star_n be_v the_o portion_n of_o the_o vâ—…ticall_a circle_n enclose_v betwixt_o the_o 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
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 march_n and_o height_n of_o summer_n or_o betwixt_o height_n of_o summer_n and_o aequinoctial_a of_o september_n likewise_o whether_o betwixt_o aequinoctial_a of_o september_n and_o dept_z of_o winter_n or_o betwixt_o dept_z of_o winter_n and_o equinoctial_a of_o march._n for_o then_o set_v the_o edge_n of_o the_o quadrant_a of_o altitude_n at_o the_o true_a distance_n of_o the_o sun_n from_o the_o east_n and_o turn_v the_o globe_n till_o that_o quarter_n of_o the_o ecliptic_a come_v under_o he_o which_o serve_v for_o the_o quarter_n of_o the_o year_n in_o which_o you_o be_v and_o see_v what_o degree_n of_o that_o part_n of_o the_o ecliptic_a agree_v with_o the_o height_n propose_v for_o that_o be_v the_o place_n of_o the_o sun_n at_o that_o time_n note_v therefore_o here_o that_o to_o the_o spring_n which_o be_v from_o the_o equinoctial_a of_o march_n till_o the_o height_n of_o summer_n answer_v the_o part_n of_o the_o zodiac_n from_o aries_n to_o cancer_n to_o summer_n which_o be_v 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 in_o the_o quarter_n of_o the_o year_n betwixt_o the_o aequinoctial_a of_o march_n and_o height_n of_o summer_n be_v give_v to_o be_v 11._o degree_n 50._o minute_n and_o to_o this_o quarter_n of_o the_o year_n answer_v the_o quarter_n of_o the_o ecliptic_a from_o aries_n to_o cancer_n therefore_o move_v the_o say_a quarter_n under_o the_o meridian_n i_o find_v the_o first_o of_o taurus_n to_o answer_v to_o this_o declination_n and_o therefore_o that_o be_v the_o place_n of_o the_o sun_n propositio_fw-la 27._o the_o declination_n of_o the_o sun_n be_v know_v to_o find_v the_o day_n of_o the_o month_n by_o the_o declination_n give_v find_v the_o place_n of_o the_o sun_n by_o the_o 26._o proposition_n they_o take_v the_o say_a place_n in_o the_o horizon_n of_o your_o globe_n for_o look_v what_o day_n answer_v against_o it_o that_o be_v the_o day_n of_o the_o month_n propositio_fw-la 28._o the_o day_n of_o the_o month_n be_v know_v to_o find_v the_o length_n of_o the_o planetary_a hour_n the_o artificial_a day_n be_v from_o sun_n rise_v to_o sun_n set_v and_o the_o 12._o part_n of_o this_o day_n whether_o it_o be_v long_o or_o short_a than_o a_o hour_n by_o the_o clock_n be_v the_o planetary_a hour_n and_o may_v thus_o be_v know_v the_o day_n be_v giâ—en_o find_v the_o length_n of_o that_o day_n by_o the_o 10._o proposition_n and_o divide_v all_o by_o 12._o the_o quotient_n be_v the_o length_n of_o a_o planetary_a or_o artificial_a hour_n of_o that_o day_n as_o the_o day_n be_v 15._o hour_n by_o the_o clock_n i_o divide_v it_o by_o 12._o the_o quotient_n be_v one_o hour_n and_o a_o quarter_n and_o so_o much_o be_v a_o planetary_a hour_n of_o that_o day_n propositio_fw-la 29._o the_o day_n of_o the_o month_n be_v give_v to_o find_v the_o dawn_n of_o the_o day_n by_o the_o day_n know_v find_v the_o place_n of_o the_o sun_n by_o the_o 5._o proposition_n and_o then_o rectify_v your_o index_n by_o the_o 14._o proposition_n again_o take_v the_o degree_n of_o the_o ecliptic_a which_o be_v opposite_a in_o a_o diameter_n to_o the_o place_n of_o the_o sun_n and_o move_v he_o towards_o the_o west_n together_o with_o the_o quadrant_n of_o altitude_n till_o you_o have_v 18._o degree_n of_o height_n for_o then_o the_o index_n show_v the_o beginning_n of_o the_o dawn_n or_o spring_n of_o the_o day_n propositio_fw-la 30._o to_o find_v the_o length_n of_o the_o whole_a dawn_n find_v the_o beginning_n of_o the_o dawn_n by_o the_o 29._o proposition_n and_o then_o the_o sun_n rise_v by_o the_o 11._o or_o 12._o proposition_n for_o the_o difference_n of_o those_o time_n be_v the_o whole_a dawn_n and_o thus_o far_o have_v i_o follow_v such_o conclusion_n as_o have_v a_o more_o orderly_a cohaerence_n it_o remain_v now_o to_o show_v some_o
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 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velis_fw-la patrocinari_fw-la vale._n to_o the_o reader_n man_n which_o be_v more_o desirous_a of_o public_a fame_n and_o renow_n ne_fw-fr then_o studious_a of_o common_a profit_n with_o great_a curiosity_n set_v a_o glass_n upon_o such_o thing_n as_o be_v discover_v will_v show_v dismember_v &_o misshape_a as_o for_o myself_o i_o seek_v no_o high_a dignity_n then_o to_o be_v report_v to_o set_v forth_o a_o truth_n and_o therefore_o without_o any_o wrest_a cloquence_n i_o make_v bold_a to_o offer_v the_o use_n of_o the_o globe_n to_o the_o exquisite_a view_n of_o your_o curious_a eye_n though_o far_o inferior_a as_o i_o suspect_v to_o some_o man_n expectation_n to_o the_o end_n such_o gross_a enormity_n may_v be_v amend_v as_o often_o time_n in_o diverse_a have_v be_v discover_v who_o for_o want_v of_o right_a conceit_n of_o thing_n by_o they_o attempt_v have_v in_o the_o air_n build_v such_o fortress_n as_o have_v without_o assalt_n wound_v their_o love_a enemy_n but_o happy_o such_o 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