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the_o vertical_a circle_n pass_v through_o the_o zenith_n and_o nadir_n east_n and_o west_n and_o the_o line_n mah_n cross_v it_o at_o right_a angle_n shall_v represent_v the_o horizon_n these_o two_o be_v divide_v in_o the_o same_o sort_n as_o the_o ecliptic_a and_o the_o equator_fw-la the_o line_n draw_v through_o each_o degree_n of_o the_o semidiameter_n az_n parallel_n to_o the_o horizon_n shall_v be_v the_o circle_n of_o altitude_n and_o the_o division_n in_o the_o horizon_n and_o his_o parallel_n shall_v give_v the_o azimuth_n last_o if_o through_o 18_o gr_n in_o a_o be_v draw_v a_o right_a line_n ik_fw-mi parallel_n to_o the_o horizon_n it_o shall_v show_v the_o time_n when_o the_o day_n break_v and_o the_o end_n of_o the_o twilight_n for_o example_n of_o this_o projection_n let_v the_o place_n of_o the_o sun_n be_v the_o last_o degree_n of_o ♉_o the_o parallel_n pass_v through_o this_o place_n be_v ld_n and_o therefore_o the_o meridian_n altitude_n ml_o and_o the_o depression_n 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the_o other_o for_o the_o hour_n of_o 1._o again_o take_v out_o the_o tangent_fw-la of_o 30_o gr_n and_o prick_v it_o down_o in_o the_o equator_fw-la on_o both_o side_n from_o 12_o so_o the_o one_o of_o these_o point_n shall_v serve_v for_o the_o hour_n of_o 10_o and_o the_o other_o for_o the_o hour_n of_o 2._o in_o like_a manner_n may_v you_o prick_v down_o the_o tangent_fw-la of_o 45_o gr_n for_o the_o hour_n of_o 9_o and_o 3_o and_o the_o tangent_fw-la of_o 60_o gr_n for_o the_o hour_n of_o 8_o and_o 4_o and_o the_o tangent_fw-la of_o 75_o gr_n for_o the_o hour_n of_o 7_o and_o 5._o
and_o azimuth_n chap._n i._o of_o the_o description_n of_o the_o quadrant_n have_v describe_v these_o stand_a plane_n i_o will_v now_o show_v the_o most_o of_o these_o conclusion_n by_o a_o small_a quadrant_n this_o may_v be_v do_v general_o for_o all_o latitude_n by_o a_o quarter_n of_o the_o general_a astrolabe_n describe_v before_o in_o the_o use_n of_o the_o sector_n pag._n 58_o and_o particular_o for_o any_o one_o latitude_n by_o a_o quarter_n of_o the_o particular_a astrolabe_n there_o also_o describe_v pag._n 63._o which_o if_o it_o be_v a_o foot_n semidiameter_n may_v show_v the_o azimuth_n unto_o a_o degree_n and_o the_o time_n of_o the_o day_n unto_o a_o minute_n but_o for_o ordinary_a use_v this_o small_a quadrant_n may_v suffice_v which_o may_v be_v make_v portable_a in_o this_o manner_n 1_o upon_o the_o centre_n a_o and_o semidiameter_n ab_fw-la describe_v the_o ark_n bc_n the_o same_o semidiameter_n will_v set_v of_o 60_o gr_n and_o the_o half_a of_o that_o will_v be_v 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20_o 25_o 30_o mo_z gr._n m_o gr._n m._n gr._n m_o gr._n m._n gr._n m._n gr._n m_o gr._n m._n january_n 16_o 31_o 17_o 24_o 18_o 26_o 19_o 37_o 20_o 57_o 22_o 24_o 23_o 58_o february_n 24_o 17_o 25_o 59_o 27_o 45_o 29_o 35_o 31_o 29_o 33_o 25_o  _fw-fr march_n 34_o 35_o 36_o 33_o 38_o 32_o 40_o 30_o 42_o 27_o 44_o 22_o 46_o 15_o april_n 46_o 37_o 48_o 26_o 50_o 11_o 51_o 50_o 53_o 25_o 54_o 53_o 56_o 15_o may_n 56_o 15_o 57_o 29_o 58_o 35_o 59_o 33_o 60_o 22_o 61_o 2_o 61_o 31_o june_n 61_o 36_o 61_o 54_o 62_o 0_o 61_o 58_o 61_o 45_o 61_o 22_o 60_o 49_o july_n 60_o 49_o 60_o 6_o 59_o 14_o 58_o 13_o 57_o 4_o 55_o 48_o 54_o 24_o august_n 54_o 7_o 52_o 36_o 50_o 59_o 49_o 17_o 47_o 31_o 45_o 41_o 43_o 49_o september_n 43_o 26_o 41_o 30_o 39_o 33_o 37_o 36_o 35_o 38_o 33_o 41_o 31_o 46_o october_n 31_o 46_o 29_o 53_o 28_o 3_o 26_o 16_o 24_o 35_o 22_o 59_o 21_o 29_o november_n 21_o 12_o 19_o 51_o 18_o 39_o 17_o 36_o 16_o 43_o 16_o 0_o 15_o 28_o december_n 15_o 28_o 15_o 7_o 15_o 0_o 15_o 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far_o serve_v for_o the_o protraction_n and_o resolution_n of_o right_a line_n triangle_n whereof_o i_o will_v give_v one_o example_n in_o find_v of_o a_o distance_n at_o two_o station_n otherwise_o then_o in_o the_o second_o cap._n let_v the_o distance_n require_v be_v ab_fw-la at_o a_o the_o first_o station_n i_o make_v choice_n of_o a_o station_n line_n towards_o c_o and_o observe_v the_o angle_n bac_n by_o the_o tangent_fw-la line_n which_o may_v be_v 43_o gr_n 20_o m_o then_o have_v go_v a_o hundred_o pace_n towards_o c_o i_o make_v my_o second_o station_n at_o d_o
january_n then_o lay_v your_o ruler_n to_o the_o centre_n a_o and_o 24_o gr_n 17_o m._n in_o the_o quadrant_a there_o draw_v the_o end_n of_o january_n and_o beginning_n of_o february_n and_o so_o the_o rest_n which_o may_v be_v note_v with_o ay_o f_o m_o a_o m_o i_o etc._n etc._n the_o first_o letter_n of_o each_o month_n and_o will_v here_o fall_v between_o 15_o gr_n and_o 62_o gr_n the_o second_o table_n which_o you_o be_v to_o fit_v may_v serve_v for_o the_o draw_v and_o divide_v of_o the_o horizon_n for_o draw_v of_o the_o horizon_n as_o the_o cotangent_fw-la of_o the_o latitude_n to_o the_o tangent_fw-la of_o the_o great_a declination_n so_o the_o sine_fw-la of_o 90_o gr_n to_o the_o sine_fw-la of_o intersection_n where_o the_o horizon_n shall_v cross_v the_o tropique_n so_o in_o our_o latitude_n of_o 51_o gr_n 30_o m._n we_o shall_v find_v the_o horizon_n to_o cut_v the_o tropic_n in_o 33_o gr_n 9_o m_o wherefore_o if_o you_o lay_v the_o ruler_n to_o the_o centre_n a_o and_o 33_o gr_n 9_o m._n in_o the_o quadrant_a the_o point_n where_o the_o ruler_n cross_v the_o tropic_n shall_v be_v the_o point_n where_o the_o horizon_n cross_v the_o tropic_n and_o if_o you_o find_v a_o point_n at_o h_n in_o the_o line_n ac_fw-la whereon_o set_v the_o compass_n you_o may_v bring_v the_o point_n at_o e_o and_o this_o point_n in_o the_o tropic_n both_o into_o a_o circle_n the_o point_n h_n shall_v be_v the_o centre_n and_o the_o ark_n so_o draw_v shall_v be_v the_o horizon_n then_o for_o the_o division_n of_o this_o horizon_n as_o the_o sine_fw-la of_o 90_o gr_n to_o the_o sine_fw-la of_o the_o latitude_n so_o the_o tangent_fw-la of_o the_o horizon_n to_o the_o tangent_fw-la of_o the_o ark_n in_o the_o quadrant_a which_o shall_v divide_v the_o horizon_n so_o in_o our_o latitude_n of_o 51_o gr_n 30_o m._n we_o shall_v find_v 7_o gr_n 52_o m._n belong_v to_o 10_o gr_n in_o the_o horizon_n and_o 15_o gr_n 54_o m._n belong_v to_o 20_o gr_n and_o so_o the_o rest_n as_o in_o this_o table_n ho_o gr._n m_o ho_o gr._n m_o ho_o gr._n m._n ho_o gr._n m._n ho_o gr._n m._n ho_o gr._n m._n 0_o 0_o 0_o 15_o 11_o 51_o 30_o 24_o 19_o 45_o 38_o 2_o 60_o 53_o 35_o 75_o 71_o 5_o  _fw-fr 0_o 47_o  _fw-fr 12_o 39_o  _fw-fr 25_o 11_o  _fw-fr 39_o 1_o  _fw-fr 54_o 41_o  _fw-fr 72_o 19_o  _fw-fr 1_o 34_o  _fw-fr 13_o 27_o  _fw-fr 26_o 4_o  _fw-fr 40_o 0_o  _fw-fr 55_o 48_o  _fw-fr 73_o 33_o  _fw-fr 2_o 21_o  _fw-fr 14_o 16_o  _fw-fr 26_o 57_o  _fw-fr 41_o 0_o  _fw-fr 56_o 56_o  _fw-fr 74_o 48_o  _fw-fr 3_o 8_o  _fw-fr 15_o 4_o  _fw-fr 27_o 50_o  _fw-fr 42_o 0_o  _fw-fr 58_o 4_o  _fw-fr 76_o 3_o 5_o 3_o 55_o 20_o 15_o 54_o 35_o 28_o 43_o 50_o 43_o 0_o 65_o 59_o 13_o 80_o 77_o 18_o  _fw-fr 4_o 42_o  _fw-fr 16_o 43_o  _fw-fr 29_o 37_o  _fw-fr 44_o 1_o  _fw-fr 60_o 22_o  _fw-fr 78_o 33_o  _fw-fr 5_o 29_o  _fw-fr 17_o 33_o  _fw-fr 30_o 32_o  _fw-fr 45_o 3_o  _fw-fr 61_o 31_o  _fw-fr 79_o 49_o  _fw-fr 6_o 17_o  _fw-fr 18_o 22_o  _fw-fr 31_o 27_o  _fw-fr 46_o 5_o  _fw-fr 62_o 41_o  _fw-fr 81_o 5_o  _fw-fr 7_o 4_o  _fw-fr 19_o 12_o  _fw-fr 32_o 22_o  _fw-fr 47_o 8_o  _fw-fr 62_o 52_o  _fw-fr 82_o 21_o 10_o 7_o 52_o 25_o 20_o 2_o 40_o 33_o 18_o 55_o 48_o 11_o 70_o 65_o 3_o 85_o 83_o 37_o  _fw-fr 8_o 39_o  _fw-fr 20_o 53_o  _fw-fr 34_o 14_o  _fw-fr 49_o 14_o  _fw-fr 66_o 15_o  _fw-fr 84_o 53_o  _fw-fr 9_o 27_o  _fw-fr 21_o 44_o  _fw-fr 35_o 10_o  _fw-fr 50_o 19_o  _fw-fr 67_o 27_o  _fw-fr 86_o 10_o  _fw-fr 10_o 14_o  _fw-fr 22_o 36_o  _fw-fr 36_o 7_o  _fw-fr 51_o 24_o  _fw-fr 68_o 39_o  _fw-fr 87_o 26_o  _fw-fr 11_o 2_o  _fw-fr 23_o 27_o  _fw-fr 37_o 4_o  _fw-fr 52_o 29_o  _fw-fr 69_o 52_o  _fw-fr 88_o 43_o 15_o 11_o 51_o 30_o 24_o 19_o 45_o 38_o 2_o 60_o 53_o 35_o 75_o 71_o 5_o 90_o 90_o 0_o wherefore_o you_o may_v lay_v the_o ruler_n to_o the_o centre_n a_o and_z 7_o gr_n 52_o m._n in_o the_o quadrant_a bc_n the_o point_n where_o the_o ruler_n cross_v the_o horizon_n shall_v be_v 10_o gr_n in_o the_o horizon_n and_o so_o for_o the_o rest_n but_o the_o line_n of_o distinction_n between_o each_o five_o degree_n will_v be_v best_a draw_v from_o the_o centre_n h._n the_o three_o table_n for_o draw_v of_o the_o houre-line_n must_v be_v a_o table_n of_o the_o altitude_n of_o the_o sun_n above_o the_o horizon_n at_o every_o hour_n especial_o when_o he_o come_v to_o the_o equator_fw-la the_o tropique_n and_o some_o other_o intermediate_v declination_n if_o the_o sun_n be_v in_o the_o equator_fw-la and_o so_o have_v no_o declination_n as_o the_o sine_fw-la of_o 90_o gr_n to_o the_o cousin_n of_o the_o latitude_n so_o the_o cousin_n of_o the_o hour_n from_o the_o meridian_n to_o the_o sine_fw-la of_o the_o altitude_n thus_o in_o our_o latitude_n of_o 51_o gr_n 30_o m._n at_o six_o hour_n from_o the_o meridian_n the_o sun_n will_v have_v no_o altitude_n at_o five_o the_o altitude_n will_v be_v 9_o gr_n 17_o m_o at_o four_o 18_o gr_n 8_o m_z at_o three_o 26_o gr_n 7_o m_z at_o two_o 32_o gr_n 37_o m._n at_o one_o 36_o gr_n 58_o m_o at_o noon_n it_o will_v be_v 38_o gr_n 30_o m._n equal_a to_o the_o compliment_n of_o the_o latitude_n if_o the_o sun_n have_v declination_n the_o meridian_n altitude_n will_v be_v find_v as_o before_o for_o the_o table_n of_o day_n and_o month_n if_o the_o hour_n propose_v be_v six_o in_o the_o morning_n or_o six_o at_o night_n as_o the_o sine_fw-la of_o 90_o gr_n to_o the_o sine_fw-la of_o the_o latitude_n so_o the_o sine_fw-la of_o the_o declination_n to_o the_o sine_fw-la of_o the_o altitude_n thus_o in_o our_o latitude_n the_o declination_n of_o the_o sun_n be_v 23_o gr_n 30_o m._n the_o altitude_n will_v be_v find_v to_o be_v 18_o gr_n 11_o m_o the_o declination_n be_v 11_o gr_n 30_o m._n the_o altitude_n will_v be_v 9_o gr_n if_o the_o hour_n propose_v be_v neither_o twelve_o nor_o six_o as_o the_o cousin_n of_o the_o hour_n from_o the_o meridian_n to_o the_o sine_fw-la of_o 90_o gr_n so_o the_o tangent_fw-la of_o the_o latitude_n to_o the_o tangent_fw-la of_o a_o four_o ark_n so_o in_o our_o latitude_n and_o one_o hour_n from_o the_o meridian_n this_o four_o ark_n will_v be_v find_v to_o be_v 52_o gr_n 28_o m._n at_o two_o 55_o gr_n 26_o m._n at_o three_o 60_o gr_n 39_o m._n at_o four_o 68_o gr_n 22_o m._n and_o at_o five_o hour_n from_o the_o meridian_n 78_o gr_n 22_o m._n then_o consider_v the_o declination_n of_o the_o sun_n and_o the_o hour_n propose_v if_o the_o latitude_n and_o declination_n be_v both_o alike_o as_o with_o we_o in_o north_n latitude_n north_n declination_n and_o the_o hour_n fall_v between_o noon_n and_o six_o take_v the_o declination_n out_o of_o the_o four_o ark_n the_o remainder_n shall_v be_v your_o five_o ark_n but_o if_o either_o the_o hour_n fall_v between_o six_o and_o midnight_n or_o the_o latitude_n and_o declination_n shall_v be_v unlike_a add_v the_o declination_n unto_o the_o four_o ark_n and_o the_o sum_n of_o both_o shall_v be_v your_o five_o ark_n or_o if_o the_o sum_n shall_v exceed_v 90_o gr_n you_o may_v take_v the_o compliment_n unto_o 180_o gr_n this_o five_o ark_n be_v know_v as_o the_o sine_fw-la of_o the_o four_o ark_n to_o the_o sine_fw-la of_o the_o latitude_n so_o the_o cousin_n of_o the_o five_o ark_n to_o the_o sine_fw-la of_o the_o altitude_n thus_o in_o our_o latitude_n of_o 51_o gr_n 30_o m._n northward_o the_o sun_n have_v 23_o gr_n 30_o m._n of_o north_n declination_n if_o it_o shall_v be_v require_v to_o find_v the_o altitude_n of_o the_o sun_n for_o seven_o in_o the_o morning_n here_o because_o the_o latitude_n and_o declination_n be_v both_o alike_o to_o the_o northward_o and_o the_o hour_n propose_v fall_v between_o noon_n and_o six_o you_o may_v take_v 23_o gr_n 30_o m._n the_o ark_n of_o the_o declination_n out_o of_o 78_o gr_n 22_o m._n the_o four_o ark_n belong_v to_o the_o five_o hour_n from_o the_o meridian_n so_o there_o will_v remain_v 54_o gr_n 52_o m._n for_o your_o five_o ark_n then_o work_v according_a to_o the_o canon_n you_o shall_v find_v as_o the_o sine_fw-la of_o 78_o gr_n 22_o m._n your_o four_o ark_n to_o the_o sine_fw-la of_o 51_o gr_n 30_o m._n for_o the_o latitude_n so_o the_o sine_fw-la of_o 35_o gr_n 8_o m._n the_o compliment_n of_o your_o five_o ark_n to_o the_o sine_fw-la of_o 27_o gr_n 17_o m._n the_o altitude_n require_v if_o in_o the_o same_o latitude_n and_o declination_n it_o be_v require_v to_o find_v the_o altitude_n for_o five_o in_o the_o morning_n
hour_n past_o 2_o in_o the_o afternoon_n and_o which_o of_o these_o be_v the_o true_a time_n of_o the_o day_n may_v be_v soon_o know_v by_o a_o second_o observation_n for_o if_o the_o sun_n rise_v high_o it_o be_v the_o forenoon_n if_o it_o become_v low_a it_o be_v the_o afternoon_n 5_o the_o hour_n of_o the_o night_n be_v give_v to_o find_v how_o much_o the_o sun_n be_v below_o the_o horizon_n the_o sun_n be_v always_o so_o much_o below_o the_o horizon_n at_o any_o hour_n of_o the_o night_n as_o his_o opposite_a point_n be_v above_o the_o horizon_n at_o the_o like_a hour_n of_o the_o day_n and_o therefore_o the_o bead_n be_v set_v if_o the_o question_n be_v make_v of_o any_o hour_n of_o the_o night_n in_o the_o summer_n then_o move_v it_o to_o the_o like_a hour_n of_o the_o day_n in_o the_o winter_n if_o of_o any_o hour_n of_o the_o night_n in_o winter_n then_o move_v it_o to_o the_o like_a hour_n of_o the_o day_n in_o summer_n so_o the_o degree_n which_o the_o thread_n cut_v in_o the_o quadrant_n shall_v show_v how_o much_o the_o sun_n be_v below_o the_o horizon_n at_o that_o time_n as_o if_o it_o be_v require_v to_o know_v how_o much_o the_o sun_n be_v below_o the_o horizon_n the_o 10_o of_o april_n at_o 4_o of_o the_o clock_n in_o the_o morning_n the_o bead_n be_v set_v to_o his_o place_n according_a to_o the_o time_n in_o the_o summer_n hour_n bring_v it_o to_o 4_o of_o the_o clock_n in_o the_o afternoon_n in_o the_o winter_n hour_n and_o so_o shall_v you_o find_v the_o thread_n to_o cut_v 8_o gr_n and_o about_o 30_o m._n in_o the_o quadrant_a and_o so_o much_o be_v the_o sun_n below_o the_o horizon_n at_o that_o time_n 6_o the_o depression_n of_o the_o sun_n suppose_v to_o give_v the_o hour_n of_o the_o night_n with_o we_o or_o the_o hour_n of_o the_o day_n to_o our_o antipode_n here_o also_o because_o the_o sun_n be_v so_o much_o above_o the_o horizon_n at_o all_o hour_n of_o the_o day_n as_o his_o opposite_a point_n be_v below_o the_o horizon_n at_o the_o like_a hour_n of_o the_o night_n therefore_o first_o set_v the_o bead_n according_a to_o the_o time_n then_o bring_v the_o thread_n to_o the_o degree_n of_o the_o sun_n depression_n below_o the_o horizon_n so_o shall_v the_o bead_n fall_v on_o the_o contrary_a houre-line_n and_o there_o show_v the_o hour_n of_o the_o night_n in_o regard_n of_o we_o which_o be_v the_o like_a hour_n of_o the_o day_n to_o our_o antipode_n as_o if_o the_o 10_o of_o april_n the_o sun_n be_v then_o in_o the_o begin_n of_o ♉_o and_o by_o supposition_n 8_o gr_n 30_o m._n below_o the_o horizon_n in_o the_o east_n it_o be_v require_v to_o know_v what_o time_n of_o the_o night_n it_o be_v first_o set_v the_o bead_n according_a to_o the_o day_n in_o the_o summer_n hour_n then_o bring_v the_o thread_n to_o 8_o gr_n 30_o m._n in_o the_o quadrant_a so_o shall_v the_o bead_n fall_v among_o the_o winter_n hour_n on_o the_o line_n of_o 4_o of_o the_o clock_n in_o the_o afternoon_n wherefore_o to_o our_o antipode_n it_o be_v 4_o of_o the_o clock_n in_o their_o afternoon_n and_o to_o we_o it_o be_v then_o 4_o of_o the_o clock_n in_o the_o morning_n 7_o the_o time_n of_o the_o year_n or_o the_o place_n of_o the_o sun_n be_v give_v to_o find_v the_o begin_n of_o daybreak_a and_o end_n of_o twilight_n this_o proposition_n differ_v little_a from_o the_o former_a for_o the_o day_n be_v say_v to_o begin_v to_o break_v when_o the_o sun_n come_v to_o be_v but_o 18_o gr_n below_o our_o horizon_n in_o the_o east_n and_o twilight_n to_o end_v when_o it_o be_v get_v 18_o gr_n below_o the_o horizon_n in_o the_o west_n wherefore_o let_v the_o bead_n be_v set_v for_o the_o time_n and_o then_o bring_v the_o thread_n to_o 18_o gr_n in_o the_o quadrant_a so_o shall_v the_o bead_n fall_v on_o the_o contrary_a houre-line_n and_o there_o show_v the_o hour_n of_o twilight_n as_o before_o so_o if_o it_o be_v require_v to_o know_v at_o what_o time_n the_o day_n begin_v to_o break_v on_o the_o ten_o of_o april_n the_o sun_n be_v then_o in_o the_o begin_n of_o ♉_o first_o set_v the_o bead_n according_a to_o the_o time_n in_o the_o summer_n hour_n and_o then_o bring_v the_o thread_n to_o 18_o gr_n in_o the_o quadrant_a so_o shall_v the_o bead_n fall_v among_o the_o winter_n hour_n a_o little_a more_o than_o a_o quarter_n before_o 3_o in_o the_o morning_n and_o that_o be_v the_o time_n when_o the_o day_n begin_v to_o break_v upon_o the_o ten_o of_o april_n chap._n vii_o of_o the_o horizon_n the_o horizon_n be_v here_o represent_v by_o the_o ark_n draw_v from_o the_o begin_n of_o declination_n towards_o the_o end_n of_o february_n divide_v unequal_o and_o number_v by_o 10._o 20._o 30._o 40._o 1_o the_o day_n of_o the_o month_n or_o the_o place_n of_o the_o sun_n be_v know_v to_o find_v the_o amplitude_n of_o the_o sun_n rise_v and_o set_v let_v the_o bead_n rectify_v for_o the_o time_n be_v bring_v to_o the_o horizon_n and_o there_o it_o shall_v show_v the_o amplitude_n require_v as_o if_o the_o day_n give_fw-mi be_v the_o 15_o of_o may_n the_o sun_n be_v in_o the_o four_o degree_n of_o ♊_o the_o bead_n rectify_v and_o bring_v to_o the_o horizon_n shall_v there_o fall_v on_o 35_o gr_n 8_o m._n such_o be_v the_o amplitude_n of_o the_o sun_n rise_v from_o the_o east_n and_o of_o his_o set_n from_o the_o west_n which_o amplitude_n be_v always_o northward_o when_o the_o sun_n be_v in_o the_o northern_a sign_n and_o when_o he_o be_v in_o the_o southward_o sign_n always_o southward_o 2_o the_o day_n of_o the_o month_n or_o the_o place_n of_o the_o sun_n be_v give_v to_o find_v the_o ascensionall_a difference_n let_v the_o bead_n rectify_v for_o the_o time_n be_v bring_v to_o the_o horizon_n so_o the_o degree_n cut_v by_o the_o thread_n in_o the_o quadrant_a shall_v show_v the_o difference_n of_o ascension_n as_o if_o the_o day_n give_fw-mi be_v the_o 15_o of_o may_n the_o sun_n be_v in_o the_o four_o degree_n of_o ♊_o let_v the_o bead_n be_v rectify_v and_o bring_v to_o the_o horizon_n so_o shall_v the_o thread_n in_o the_o quadrant_a show_n the_o ascensionall_a difference_n to_o be_v 28_o gr_n and_o about_o 50_o m._n upon_o the_o ascensionall_a difference_n depend_v this_o corollary_n to_o find_v the_o hour_n of_o the_o rise_n and_o set_v of_o the_o sun_n and_o thereby_o the_o length_n of_o the_o day_n and_o night_n the_o time_n of_o the_o sun_n rise_v may_v be_v guess_v at_o by_o the_o 3_o of_o the_o last_o cap._n but_o here_o by_o the_o ascensionall_a difference_n it_o may_v be_v better_o find_v and_o that_o to_o a_o minute_n of_o time_n for_o if_o the_o ascensionall_a difference_n be_v convert_v into_o time_n allow_v a_o hour_n for_o 15_o gr_n and_o 4_o minute_n of_o a_o hour_n for_o each_o degree_n it_o show_v how_o long_o the_o sun_n rise_v before_o six_o of_o the_o clock_n in_o the_o summer_n and_o after_o six_o in_o the_o winter_n as_o if_o the_o day_n give_fw-mi be_v the_o 15_o of_o may_n the_o sun_n be_v in_o the_o four_o of_o ♊_o and_o his_o ascensionall_a 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