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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 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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 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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
above_o ground_n at_o the_o say_a hour_n by_o the_o 41._o proposition_n so_o shall_v the_o point_n be_v give_v as_o before_o propositio_fw-la 50._o to_o find_v the_o bigness_n of_o the_o angle_n make_v betwixt_o the_o meridian_n circle_n and_o any_o circle_n of_o position_n circle_n of_o position_n be_v all_o such_o as_o be_v draw_v from_o the_o north_n point_n of_o any_o horizon_n by_o the_o centre_n of_o any_o star_n and_o so_o to_o go_v to_o the_o south_n point_n of_o the_o same_o horizon_n to_o return_v to_o the_o north_n again_o and_o every_o one_o of_o these_o circle_n do_v make_v some_o with_o the_o meridian_n and_o the_o say_a angle_n have_v his_o bigness_n show_v by_o a_o portion_n of_o the_o fix_a vertical_a so_o that_o to_o find_v the_o bigness_n of_o the_o angle_n make_v betwixt_o the_o meridian_n and_o any_o circle_n of_o position_n be_v to_o find_v the_o portion_n of_o the_o fix_a vertical_a enclose_v betwixt_o the_o meridian_n and_o the_o say_a circle_n of_o position_n that_o portion_n be_v thus_o find_v put_v your_o quadrant_a of_o altitude_n to_o the_o true_a east_n point_n then_o raise_v up_o your_o brass_n half_a circle_n as_o high_a above_o the_o horizon_n as_o you_o please_v so_o that_o it_o may_v now_o represent_v some_o circle_n of_o position_n for_o then_o the_o degree_n of_o the_o quadrant_n of_o altitude_n from_o the_o meridian_n to_o this_o circle_n be_v the_o bigness_n of_o the_o angle_n make_v betwixt_o the_o meridian_n and_o the_o circle_n of_o position_n but_o if_o your_o circle_n of_o position_n fall_v on_o the_o west_n side_n of_o the_o meridian_n than_o put_v the_o quadrant_n to_o the_o west_n point_n and_o work_v as_o before_o propositio_fw-la 51._o to_o find_v the_o beginning_n and_o end_n of_o the_o 12_o house_n of_o heaven_n concern_v the_o erect_v the_o scheme_n of_o heaven_n or_o as_o we_o common_o call_v it_o the_o twelve_o howsen_fw-mi though_o four_o diverse_a way_n have_v be_v receive_v touch_v the_o howsen_fw-mi how_o they_o ought_v to_o be_v take_v yet_o it_o be_v not_o our_o intent_n to_o discourse_v of_o that_o question_n but_o to_o show_v how_o they_o ought_v to_o be_v erect_v according_a to_o the_o most_o usual_a way_n set_v down_o by_o regiomontanus_n &_o call_v reasonable_a wherefore_o first_o you_o be_v to_o know_v that_o in_o any_o horizon_n wheresoever_o we_o be_v we_o do_v imagine_v six_o circle_n to_o be_v draw_v from_o the_o north_n point_n of_o the_o horizon_n to_o the_o south_n of_o the_o same_o and_o divide_v the_o aequinoctial_a into_o 12_o equal_a part_n and_o the_o 12._o space_n betwixt_o these_o circle_n be_v call_v the_o twelve_o house_n &_o two_o of_o the_o 6._o circle_n be_v always_o the_o meridian_n and_o horizon_n in_o every_o one_o of_o these_o howsen_fw-mi be_v enclose_v some_o portion_n of_o the_o zodiac_n and_o one_o portion_n be_v great_a they_o an_o other_o so_o that_o to_o erect_v the_o twelve_o howsen_fw-mi be_v to_o find_v out_o the_o portion_n of_o the_o ecliptic_a enclose_v in_o each_o space_n &_o to_o do_v it_o we_o thus_o proceed_v first_o find_v out_o the_o four_o cardinal_n point_n by_o the_o 49._o proposition_n for_o those_o be_v the_o beginning_n of_o 4._o howsen_z of_o the_o twelve_o the_o cardinal_n point_n under_o the_o meridian_n above_o ground_n be_v the_o begin_n of_o the_o ten_o house_n this_o do_v fix_v the_o globe_n then_o reckon_v from_o the_o degree_n of_o the_o aequator_fw-la be_v then_o under_o the_o meridian_n 30._o degree_n towards_o the_o east_n point_n &_o raise_v up_o your_o brass_n half_a circle_n to_o stand_v on_o the_o point_n of_o the_o aequator_fw-la on_o which_o you_o leave_v for_o look_v then_o what_o degree_n of_o the_o ecliptic_a be_v cut_v then_o by_o the_o brass_n half_a circle_n the_o same_o be_v the_o end_n of_o the_o ten_o house_n and_o beginning_n of_o the_o eleven_o again_o yet_o reckon_v 30._o degree_n more_o in_o the_o aequator_fw-la towards_o the_o east_n and_o put_v the_o brass_n half_a circle_n to_o it_o and_o they_o take_v the_o degree_n cut_v in_o the_o ecliptic_a for_o that_o be_v the_o end_n of_o the_o eleven_o house_n and_o beginning_n of_o the_o twelve_o again_o the_o cardinal_n point_n of_o the_o east_n be_v the_o end_n of_o the_o twelve_o house_n and_o beginning_n of_o the_o first_o house_n now_o if_o in_o like_a sort_n you_o go_v from_o the_o degree_n of_o the_o aequator_fw-la under_o the_o meridian_n by_o each_o 30._o degree_n of_o the_o same_o towards_o the_o west_n point_n and_o still_o observe_v the_o degree_n cut_v in_o the_o ecliptic_a you_o shall_v have_v the_o beginning_n and_o end_n of_o the_o nine_o eight_o and_o seven_o house_n thus_o have_v erect_v six_o howsen_fw-mi the_o degree_n of_o the_o zodiac_n which_o be_v opposite_a to_o these_o in_o a_o diameter_n one_o to_o a_o other_o be_v the_o beginning_n and_o end_n of_o the_o other_o six_o howsen_fw-mi which_o be_v to_o be_v find_v and_o here_o must_v you_o note_v that_o the_o first_o house_n begin_v at_o the_o east_n point_n and_o go_v under_o the_o ground_n towards_o the_o meridian_n circle_n the_o second_o and_o the_o three_o succeed_v the_o fowerth_o beginning_n at_o the_o meridian_n under_o ground_n come_v towards_o west_n the_o five_o and_o six_o succeed_v the_o seven_o begin_v in_o the_o west_n and_o go_v above_o ground_n towards_o the_o meridian_n the_o eight_o and_o nine_o succeed_v other_o conclusion_n less_o profitable_a i_o witting_o avoid_v and_o the_o more_o excellent_a defer_v to_o a_o more_o convenient_a time_n finis_fw-la errata_fw-la pa_n 3._o li_n 13._o indicem_fw-la lege_fw-la iudicem_fw-la pa_n 23._o li_n 1._o same_o lege_fw-la sun_n pa_n 24._o li_n 1._o lege_fw-la ver._n pa_n 46._o li_n 16._o till_o you_o league_n till_o it_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