horizon_n of_o the_o world_n but_o this_o may_v be_v more_o accurate_o do_v if_o you_o place_v the_o back_n of_o the_o instrument_n down_o upon_o a_o horizontall_a plain_a and_o the_o edge_n of_o the_o index_n be_v at_o the_o degree_n of_o the_o sun_n azimuth_n observe_v and_o the_o perpendicular_a erect_v at_o the_o end_n of_o the_o index_n as_o before_o then_o move_v the_o instrument_n as_o it_o so_o lie_v until_o the_o shadow_n of_o the_o perpendicular_a fall_n by_o the_o side_n of_o the_o index_n so_o the_o meridian_n of_o the_o instrument_n shall_v be_v in_o the_o meridian_n of_o the_o world_n and_o every_o point_n and_o degree_n in_o the_o limb_n of_o the_o instrument_n shall_v point_v out_o and_o be_v opposite_a and_o represent_v his_o like_a degree_n in_o the_o horizon_n of_o the_o world_n constru_n ¦_o ctio_fw-la 39_o but_o here_o note_v that_o this_o construction_n serve_v only_o but_o for_o the_o forenoon_n observation_n for_o if_o the_o practice_n be_v in_o the_o 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december_n and_o the_o hour_n line_n meet_v with_o the_o index_n show_v near_o 5._o gr_n 25._o m._n so_o much_o be_v the_o sun_n altitude_n at_o that_o time_n now_o if_o you_o move_v the_o index_n soft_o along_o as_o the_o edge_n of_o it_o pass_v by_o any_o hour_n for_o any_o day_n of_o the_o year_n so_o the_o edge_n of_o the_o index_n in_o the_o limb_n of_o the_o instrument_n show_v the_o sun_n azimuth_n and_o the_o intersection_n of_o the_o parallel_n with_o the_o index_n shall_v show_v the_o sun_n altitude_n belong_v to_o that_o hour_n nine_o to_o show_v the_o uncertainty_n pro._n 35_o of_o time_n by_o note_v the_o shadow_n of_o thing_n it_o be_v usual_o note_v by_o some_o that_o when_o the_o shadow_n of_o the_o edge_n of_o a_o window_n door_n wall_n or_o such_o like_a shall_v touch_v such_o or_o such_o mark_n that_o it_o shall_v be_v then_o such_o or_o such_o a_o hour_n of_o the_o day_n and_o so_o constant_o to_o hold_v for_o all_o the_o year_n this_o observation_n be_v far_o 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the_o hour_n will_v be_v half_a a_o hour_n past_o 10._o for_o the_o index_n be_v lay_v to_o the_o hour_n of_o 9_o in_o the_o tropic_n of_o ♑_o which_o be_v the_o sun_n parallel_n for_o the_o say_v ten_o of_o december_n and_o it_o cut_v the_o constru_n ¦_o ctio_fw-la 45_o parallel_n of_o the_o sun_n motion_n in_o the_o inequality_n of_o time_n and_o so_o the_o compliment_n of_o the_o former_a 32._o gr_n 35._o m_o in_o the_o index_n meet_v with_o the_o tropic_n of_o ♋_o which_o be_v the_o sun_n parallel_n for_o the_o ten_o of_o june_n in_o half_a a_o hour_n past_o 10._o so_o that_o it_o evident_o appear_v that_o the_o shadow_n of_o a_o perpendicular_a thing_n on_o the_o ten_o of_o december_n denote_v the_o hour_n of_o the_o day_n to_o be_v 9_o of_o the_o clock_n the_o same_o shadow_n the_o ten_o of_o june_n shall_v represent_v half_o a_o hour_n past_o 10._o so_o the_o error_n shall_v be_v a_o hour_n and_o a_o half_a but_o if_o you_o move_v the_o index_n unto_o the_o hour_n of_o 9_o belong_v to_o the_o ten_o of_o june_n the_o index_n shall_v point_v you_o out_o in_o the_o limb_n near_o 68_o gr_n of_o azimuth_n for_o that_o hour_n which_o at_o 9_o of_o the_o clock_n the_o ten_o of_o december_n be_v but_o 40._o gr_n &_o a_o half_a so_o the_o difference_n of_o azimuth_n in_o one_o and_o the_o same_o hour_n shall_v be_v 27._o gr_n and_o a_o half_a &_o the_o time_n as_o before_o a_o hour_n and_o a_o half_a which_o difference_n be_v sufficient_a to_o confirm_v the_o point_n ten_o to_o find_v the_o quarter_n of_o pro._n 36_o the_o year_n and_o day_n of_o the_o month_n if_o it_o be_v forget_v constru_n ¦_o ctio_fw-la 46_o at_o any_o appearance_n of_o the_o sun_n by_o the_o 27._o pro._n take_v the_o sun_n altitude_n then_o place_v the_o north_n and_o south_n edge_n of_o the_o instrument_n unto_o the_o meridian_n line_n former_o draw_v if_o in_o the_o forenoon_n otherwise_o place_v the_o east_n and_o west_n edge_n of_o instrument_n to_o the_o meridian-line_n and_o erect_v 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that_o intersect_v the_o calendar_n in_o the_o ten_o of_o march_n &_o the_o thirteen_o of_o september_n but_o which_o of_o these_o day_n be_v the_o day_n of_o the_o month_n the_o next_o day_n observation_n of_o the_o sun_n upon_o the_o same_o hour_n will_v help_v you_o for_o if_o the_o sun_n altitude_n besound_v to_o be_v great_a than_o the_o day_n of_o the_o month_n inquire_v after_o it_o be_v the_o ten_o of_o march_z because_o the_o sun_n from_o the_o ten_o of_o december_n unto_o the_o eleven_o of_o june_n do_v every_o day_n at_o one_o &_o the_o same_o hour_n ascend_v but_o if_o the_o sun_n altitude_n be_v find_v to_o be_v
the_o instrument_n be_v a_o part_n of_o the_o horizon_n the_o parallel_n meridian_n &_o vertical_a circle_n that_o be_v contain_v or_o may_v be_v describe_v in_o our_o latitude_n sufficient_o necessary_a induce_v any_o one_o in_o the_o understanding_n of_o the_o use_n of_o it_o that_o be_v but_o indifferent_o verse_v in_o the_o linament_n and_o principle_n of_o the_o globe_n what_o to_o speak_v and_o what_o to_o answer_v in_o a_o proposition_n without_o far_a direction_n and_o have_v have_v this_o horizontall_a quadrant_n for_o many_o year_n past_a as_o a_o pocket_n instrument_n diverse_a about_o this_o kingdom_n be_v importunate_a with_o i_o for_o to_o have_v it_o or_o to_o publish_v the_o use_n of_o it_o see_v its_o great_a facility_n and_o expedition_n in_o comparison_n of_o such_o pocket_n instrument_n as_o be_v now_o use_v here_o or_o in_o foreign_a part_n i_o be_v willing_a at_o last_o after_o i_o have_v give_v order_n for_o the_o make_n of_o four_o of_o these_o instrument_n in_o 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and_o plentiful_o supply_v the_o obscurity_n of_o that_o scheme_n or_o diagramme_n there_o draw_v as_o for_o a_o general_a good_a in_o the_o use_n of_o this_o horizantal_n quadrant_n i_o deliver_v therefore_o first_o the_o make_n of_o it_o first_o by_o the_o sector_n somewhat_o different_a from_o that_o of_o master_n gunter'_v second_o by_o geometry_n and_o last_o i_o show_v a_o three_o way_n how_o it_o may_v be_v project_v and_o make_v by_o my_o mathematical_a ring_n and_o by_o number_n which_o i_o have_v calculate_v and_o accommodate_v to_o that_o end_n in_o table_n for_o more_o exactness_n part_v of_o the_o general_a scope_n and_o use_v of_o which_o instrument_n i_o deliver_v in_o the_o index_n or_o table_n follow_v a_o index_n or_o table_n of_o the_o use_n of_o the_o horizontall_a quadrant_n viz_o of_o the_o horizon_n line_n of_o shadow_n calendar_n parallel_n aequator_fw-la ecliptic_a houreline_n index_n 1_o by_o the_o horizon_n to_o show_v 1._o the_o sun_n or_o star_n altitude_n at_o any_o time_n pag._n 53._o 2._o at_o any_o day_n of_o the_o year_n how_o far_o the_o sun_n rise_v or_o set_v from_o the_o true_a east_n or_o west_n pag._n 28._o 3._o the_o sun_n azimuth_n and_o altitude_n at_o any_o hour_n for_o any_o day_n pag._n 62._o 4._o the_o meridian_n line_n upon_o any_o appearance_n of_o the_o sun_n pag._n 55._o 5._o the_o uncertainty_n of_o time_n by_o note_v the_o shadow_n of_o thing_n pag._n 63._o 6._o the_o site_n of_o a_o building_n or_o cost_v of_o a_o place_n pag._n 57_o 7._o the_o variation_n of_o the_o needle_n pag._n 59_o 8._o the_o declination_n of_o a_o wall_n or_o plain_a the_o sun_n shine_v thereon_o pag._n 71._o 9_o the_o inclination_n of_o a_o plain_a and_o to_o place_v a_o plain_a horizontall_a pag._n 89._o 2._o by_o the_o line_n of_o shadow_n be_v have_v 10._o at_o what_o hour_n in_o any_o day_n of_o the_o year_n the_o shadow_n of_o a_o altitude_n be_v equal_a double_a triple_a etc._n etc._n unto_o it_o pag._n 35._o 11._o instant_o the_o hour_n of_o the_o day_n the_o azimuth_n and_o altitude_n of_o the_o sun_n with_o the_o meridian_n line_n without_o observation_n or_o sight_n of_o the_o sun_n by_o know_v the_o proportion_n between_o the_o length_n of_o a_o shadow_n upon_o a_o horizontall_a plain_a &_o that_o which_o cast_v the_o shadow_n pag._n 67._o 12._o at_o any_o hour_n a_o altitude_n of_o the_o sun_n or_o azimuth_n what_o proportion_n shadow_n have_v to_o their_o body_n pag._n 37._o 13._o whether_o and_o altitude_n be_v above_o or_o below_o the_o jewel_n of_o the_o eye_n &_o how_o much_o 14._o the_o height_n of_o a_o altitude_n accessible_a or_o in_o accessible_a pag._n 100_o 101._o 15._o the_o measure_n of_o any_o part_n of_o altitude_n not_o approchable_a pag._n 102._o 3._o by_o the_o calendar_n be_v know_v 16._o the_o inequality_n of_o time_n in_o equal_a month_n or_o equal_a number_n of_o day_n pag._n 44._o 17._o what_o number_n of_o day_n will_v make_v the_o day_n and_o hour_n long_o or_o short_a at_o any_o time_n pag._n 43._o 18._o the_o hour_n of_o the_o sun_n rise_v set_v with_o the_o length_n of_o the_o day_n at_o any_o time_n pag._n 23._o 19_o what_o day_n be_v alike_o in_o length_n &_o what_o day_n the_o sun_n rise_v in_o the_o one_o shall_v be_v the_o sun_n set_v in_o the_o other_o pag._n 24._o 20._o the_o inequality_n of_o time_n between_o day_n break_v and_o sun_n rise_v pag._n 41._o 4._o by_o the_o parallel_n to_o search_v out_o 21._o at_o any_o day_n the_o sun_n declination_n pag._n 24_o 22._o the_o latitude_n of_o a_o place_n or_o hight_v of_o the_o pole_n above_o the_o horizon_n pag._n 60._o 23._o at_o what_o hour_n in_o any_o day_n the_o sun_n azimuth_n and_o altitude_n will_v be_v equal_a and_o how_o much_o the_o altitude_n &_o azimuth_n will_v be_v pag._n 42._o 5._o by_o the_o aequator_fw-la be_v see_v 24._o the_o sun_n equal_a motion_n right_a ascention_n and_o oblique_a ascension_n pag._n 26._o 6._o by_o the_o ecliptic_a to_o give_v 25._o the_o sun_n place_n at_o any_o time_n of_o the_o year_n pag._n 25._o 26._o the_o degree_n of_o the_o aequator_fw-la in_o the_o horizon_n by_o suppose_v the_o degree_n of_o the_o ecliptic_a in_o the_o horizon_n pag_n 46._o 27._o the_o degree_n of_o the_o ecliptic_a in_o the_o horizon_n by_o suppose_v the_o degree_n of_o the_o aequator_fw-la in_o the_o horizon_n pag._n 47._o 28._o the_o degree_n of_o medium_fw-la coeli_fw-la or_o the_o degree_n of_o the_o ecliptic_a in_o the_o meridian_n by_o suppose_v the_o degree_n of_o the_o ecliptic_a in_o the_o horizon_n well_fw-mi contra_fw-la pag._n 47._o 29._o the_o horoscope_n or_o the_o degree_n ascendant_n '_o or_o descendant_n and_o the_o nonagessima_fw-la degree_n at_o any_o hour_n pag._n 49._o 30._o what_o angle_n the_o ecliptic_a make_v with_o the_o horizon_n or_o the_o altitude_n of_o the_o nonagessima_fw-la degree_n and_o what_o azimuth_n it_o be_v in_o at_o any_o hour_n pag._n 50._o 7._o by_o the_o hour_n line_n to_o find_v 31._o the_o hour_n of_o the_o day_n and_o azimuth_n of_o the_o sun_n pag._n 54._o 32._o the_o hour_n of_o the_o day_n agreeable_a to_o any_o altitude_n or_o azimuth_n pag._n 39_o 33._o the_o sun_n difference_n of_o ascension_n for_o any_o day_n pag._n 23._o 34._o the_o quarter_n of_o the_o year_n and_o day_n of_o the_o month_n hour_n of_o the_o day_n meridian-line_n and_o azimuth_n of_o the_o sun_n if_o it_o be_v forget_v pag._n 64._o 8._o by_o the_o index_n adjoin_v with_o other_o line_n you_o have_v 35._o at_o what_o hour_n &_o altitude_n the_o sun_n will_v be_v due_a east_n at_o any_o day_n of_o the_o year_n pag._n 27._o 36._o the_o sun_n azimuth_n &_o hour_n without_o observation_n pag._n 58._o 37._o the_o time_n of_o daybreak_a or_o end_n of_o twilight_n for_o any_o day_n in_o the_o year_n pag._n 30._o 38._o the_o height_n or_o depression_n of_o the_o sun_n in_o the_o meridian_n for_o any_o day_n in_o the_o year_n here_o or_o for_o any_o latitude_n pag._n 29._o 39_o the_o sun_n depression_n &_o azimuth_n at_o any_o hour_n of_o the_o night_n assign_v pag._n 40._o 40._o the_o hour_n of_o the_o day_n to_o our_o antipode_n by_o suppose_v the_o sun_n depression_n under_o the_o horizon_n pag._n 42._o 41._o what_o hour_n &_o altitude_n the_o sun_n come_v upon_o a_o decline_a wall_n any_o day_n in_o the_o year_n &_o how_o long_o the_o sun_n shine_v thereon_o pag._n 32._o 42._o at_o what_o hour_n and_o altitude_n the_o sun_n must_v have_v to_o be_v opposite_a or_o perpendicular_a to_o a_o declination_n plain_a pag._n 33._o 43_o the_o declination_n of_o a_o wall_n by_o see_v the_o sun_n beginning_n to_o shine_v thereon_o or_o go_v from_o it_o pag._n 69._o 44._o the_o hour_n &_o altitude_n of_o a_o star_n come_v to_o the_o meridian_n at_o
21._o 19_o 25._o 24._o 35._o 2._o 38._o 37._o 20._o 41._o and_o 42._o as_o follow_v the_o day_n of_o the_o month_n know_v to_o find_v 1._o the_o hour_n of_o sun_n rise_v set_v and_o length_n of_o the_o day_n 2._o the_o sun_n difference_n of_o ascention_n 3._o the_o sun_n declination_n 4._o what_o day_n be_v alike_o in_o length_n and_o what_o day_n the_o sun_n rise_v in_o the_o one_o shall_v be_v the_o sun_n set_v in_o the_o other_o 5._o the_o sun_n place_n or_o degree_n in_o the_o ecliptic_a 6._o the_o sun_n right_a ascension_n and_o oblique_a ascension_n 7._o the_o hour_n and_o altitude_n of_o the_o sun_n come_v east_n or_o west_n 8._o the_o distance_n of_o the_o sun_n rise_v or_o set_v from_o the_o east_n or_o west_n 9_o the_o height_n or_o depression_n of_o the_o sun_n in_o the_o meridian_n here_o or_o for_o any_o latitude_n 10._o the_o time_n of_o day_n break_v and_o end_n of_o twilight_n 11._o the_o inequality_n of_o time_n between_o day_n break_v and_o sun_n rise_v 12._o the_o hour_n and_o altitude_n of_o the_o sun_n come_v upon_o any_o decline_a wall_n 13._o at_o what_o hour_n and_o altitude_n the_o sun_n must_v have_v to_o be_v opposite_a or_o perpendicular_a to_o a_o decline_a wall_n first_o to_o find_v the_o time_n of_o sun_n pro._n 1_o rise_v or_o set_v and_o length_n of_o the_o day_n for_o any_o day_n of_o the_o year_n seek_v the_o day_n of_o the_o month_n in_o the_o calendar_n constru_n ¦_o ctio_fw-la 1_o and_o the_o hour_n line_n that_o meet_v therewith_o show_v the_o time_n of_o sun_n rise_v or_o set_v so_o if_o the_o day_n of_o the_o month_n be_v the_o 13._o exam._n of_o october_n the_o parallel_n that_o meet_v therewith_o be_v the_o hour_n viz._n 7._o of_o the_o clock_n at_o which_o time_n the_o sun_n rise_v the_o same_o hour_n be_v note_v also_o with_o 5._o which_o be_v the_o time_n of_o sun_n set_v that_o day_n this_o double_a make_n 10._o the_o length_n of_o the_o day_n require_v second_o to_o find_v the_o difference_n pro._n 2_o of_o ascention_n for_o any_o day_n of_o the_o year_n mark_v what_o meridian_n meet_v with_o the_o day_n constru_n ¦_o ctio_fw-la 2_o of_o the_o month_n in_o the_o calendar_n as_o suppose_v the_o day_n to_o be_v the_o former_a 13._o of_o october_n which_o be_v the_o hour_n line_n of_o 7._o and_o 5._o as_o before_o and_o account_v the_o number_n of_o meridian_n to_o the_o hour_n of_o 6._o so_o have_v you_o 15._o gr_n or_o a_o hour_n which_o be_v the_o difference_n of_o ascension_n for_o the_o 13._o day_n of_o october_n require_v pro._n 3_o three_o to_o find_v the_o sun_n declination_n for_o any_o day_n constru_n ¦_o ctio_fw-la 3_o mark_v what_o parallel_n of_o declination_n meet_v with_o the_o day_n of_o the_o month_n in_o the_o calendar_n and_o account_v how_o many_o degree_n it_o be_v from_o the_o equinoctial_a so_o have_v you_o the_o sun_n declination_n for_o that_o day_n exam._n so_o if_o the_o day_n be_v the_o last_o of_o august_n the_o parallel_n that_o meet_v therewith_o be_v the_o 5_o from_o the_o equator_fw-la and_o somuch_o be_v the_o sun_n declination_n that_o day_n viz._n 5._o gr_n north_n declination_n pro._n 4_o four_o to_o find_v what_o day_n in_o the_o year_n be_v alike_o in_o length_n and_o what_o day_n the_o sun_n rise_v in_o the_o one_o shall_v be_v the_o sun_n set_v in_o the_o other_o constru_n ¦_o ctio_fw-la 4_o for_o the_o first_o note_z that_o the_o day_n between_o the_o 10_o of_o december_n and_o the_o 11_o of_o june_n be_v day_n of_o increase_n and_o the_o rest_n be_v day_n of_o decrease_v now_o right_a against_o any_o day_n of_o decrease_n in_o the_o calendar_n be_v the_o day_n of_o increase_n which_o day_n be_v equal_a one_o to_o the_o other_o exam._n so_o the_o 19_o day_n of_o may_n be_v against_o the_o 4._o of_o july_n at_o which_o time_n the_o sun_n rise_v and_o set_v alike_o without_o sensible_a error_n viz._n 4._o of_o the_o clock_n and_o therefore_o those_o day_n be_v of_o equal_a length_n and_o so_o of_o other_o for_o the_o second_o to_o find_v what_o day_n the_o sun_n rise_v in_o the_o one_o shall_v be_v the_o sun_n set_v in_o the_o other_o admit_v the_o day_n to_o be_v the_o 18_o of_o february_n and_o according_a to_o the_o first_o pro._n find_v the_o time_n of_o sun_n rise_v which_o be_v at_o 40._o m._n after_o 6._o exam._n of_o the_o clock_n constru_n ¦_o ctio_fw-la 5_o for_o that_o day_n and_o the_o set_v 20._o m_o after_o 5._o then_o mark_v what_o day_n of_o the_o month_n the_o hour_n line_n of_o 20_o m_o after_o 5._o in_o the_o forenoon_n meet_v with_o the_o calendar_n which_o will_v be_v the_o 23._o of_o august_n so_o the_o 18_o day_n of_o february_n the_o sun_n do_v set_v at_o the_o same_o hour_n that_o it_o do_v rise_v the_o 23._o day_n of_o august_n five_o to_o find_v the_o sun_n place_n or_o pro._n 5_o degree_n for_o any_o day_n of_o the_o year_n note_v where_o the_o parallel_n of_o the_o day_n of_o the_o month_n cross_v the_o ecliptic_a that_o be_v the_o sun_n constru_n ¦_o ctio_fw-la 6_o place_n so_o the_o former_a parallel_n of_o the_o 13_o of_o october_n meet_v with_o the_o ecliptic_a in_o the_o begin_n of_o â™_o and_o ♓_o but_o which_o of_o these_o be_v the_o sun_n place_n the_o quarter_n of_o the_o year_n may_v easy_o tell_v you_o viz._n â™_o which_o be_v the_o sun_n place_n or_o the_o degree_n in_o the_o ecliptic_a for_o that_o day_n pro._n 6_o six_o to_o find_v the_o sun_n right_a ascension_n and_o oblique_a ascension_n at_o any_o time_n constru_n ¦_o ctio_fw-la 7_o consider_v what_o meridean_a meet_v with_o the_o sun_n place_n in_o the_o ecliptic_a for_o the_o day_n give_v and_o mark_v the_o number_n of_o meridian_n in_o the_o equator_fw-la for_o the_o meridian_n be_v number_v in_o the_o equator_fw-la as_o be_v say_v before_o in_o the_o description_n so_o have_v you_o the_o sun_n right_a ascension_n but_o here_o note_n that_o the_o degree_n in_o the_o ecliptic_a be_v number_v forward_o and_o backward_o in_o the_o ecliptic_a unto_o 360._o gr_n upon_o this_o instrument_n so_o be_v the_o right_a ascension_n of_o those_o degree_n also_o number_v forward_o and_o backward_o in_o the_o aequator_fw-la for_o the_o right_a ascension_n of_o any_o degree_n in_o the_o ecliptic_a be_v that_o degree_n of_o the_o aequator_fw-la which_o be_v opposite_a unto_o it_o the_o succession_n of_o the_o sign_n consider_v so_o if_o the_o sun_n be_v in_o the_o begin_n of_o â™_o the_o right_a ascension_n be_v near_o 208._o degree_n for_o the_o meridian_n that_o pass_v by_o the_o begin_n of_o â™_o be_v account_v in_o the_o equator_fw-la from_z ♈_o and_o be_v within_o 6._o m_o of_o 28._o gr_n now_o the_o right_a ascension_n of_o ♋_o be_v 90._o gr_n and_o the_o beginning_n the_o of_o ♎_o be_v 180._o gr_n and_o from_o the_o begin_n of_o ♎_o to_o the_o beginning_n â™_o be_v within_o 6._o m_o of_o 28._o gr_n as_o before_o all_o be_v which_o put_v together_o make_v near_o 208._o gr_n the_o right_a ascension_n of_o the_o sun_n the_o 13_o day_n of_o october_n to_o find_v the_o sun_n oblique_a ascension_n at_o any_o time_n note_v that_o the_o difference_n of_o ascension_n be_v the_o constru_n ¦_o ctio_fw-la 8_o difference_n always_o between_o the_o right_a ascension_n of_o the_o sun_n and_o the_o oblique_a ascension_n thereof_o therefore_o the_o right_a ascension_n know_v by_o the_o last_o direction_n &_o the_o difference_n of_o ascension_n by_o the_o second_o direction_n the_o oblique_a ascension_n be_v easy_o have_v by_o addition_n or_o substraction_n thus_o if_o the_o sun_n be_v in_o a_o southern_a sign_n than_o the_o oblique_a ascension_n be_v great_a than_o the_o right_a ascension_n by_o so_o much_o as_o the_o difference_n of_o ascention_n come_v to_o but_o if_o the_o sun_n be_v in_o a_o northern_a sign_n the_o oblique_a ascension_n be_v so_o much_o less_o which_o difference_n of_o ascension_n as_o before_o by_o the_o 2_o pro_fw-la for_o the_o say_v 13_o of_o october_n be_v 15._o gr_n this_o ad_fw-la unto_o the_o right_a ascension_n of_o the_o begin_n of_o â™_o viz._n 208._o gr_n make_v 223._o gr_n the_o sun_n oblique_a ascension_n for_o the_o begin_n of_o â™_o on_o the_o 13_o day_n of_o october_n but_o if_o the_o sun_n have_v be_v in_o the_o begin_n of_o ♉_o the_o oblique_a ascension_n will_v have_v be_v only_o near_o 13._o gr_n viz._n 12._o gr_n 54._o m._n seven_o to_o find_v the_o sun_n altitude_n pro._n 7_o and_o hour_n of_o the_o sun_n come_v east_n or_o west_n any_o day_n of_o the_o year_n above_o the_o horizon_n here_o note_v that_o this_o proposition_n hold_v in_o use_n constru_n ¦_o ctio_fw-la 9_o only_o for_o that_o time_n of_o the_o sun_n be_v
which_o convert_v into_o measure_n and_o account_v eastward_o or_o westward_o according_a to_o the_o hour_n give_v from_o the_o former_a point_n of_o the_o aequator_fw-la in_o the_o horizon_n at_o 12._o will_v give_v the_o degree_n of_o the_o aequator_fw-la in_o the_o horizon_n at_o the_o hour_n propose_v then_o by_o the_o 23._o pro._n i_o seek_v out_o the_o degree_n of_o the_o ecliptic_a in_o the_o horizon_n answerable_a to_o the_o degree_n of_o the_o aequator_fw-la so_o have_v you_o the_o degree_n ascendant_n from_o which_o account_n 90._o gr_n or_o 3_o sign_n so_o have_v you_o the_o degree_n of_o the_o nonagessima_fw-la point_n in_o the_o horizon_n but_o if_o you_o reckon_v 6._o sign_n from_o the_o ascendant_n you_o have_v the_o desendant_fw-fr degree_n of_o the_o ecliptic_a in_o the_o west_n of_o the_o horizon_n pro._n 26_o thirteen_o to_o find_v what_o angle_n the_o ecliptic_a make_v with_o the_o horizon_n or_o the_o altitude_n of_o the_o nonagessima_fw-la degree_n of_o the_o ecliptic_a above_o the_o horizon_n and_o what_o azimuth_n it_o be_v in_o at_o any_o hour_n according_a to_o the_o last_o pro._n sinde_v the_o degree_n constru_n ¦_o ctio_fw-la 34_o ascendant_n and_o the_o nonagessima_fw-la degree_n then_o by_o the_o 24._o pro._n find_v what_o degree_n of_o the_o ecliptic_a be_v in_o the_o meridian_n answerable_a to_o the_o degree_n of_o the_o ecliptic_a in_o the_o horizon_n so_o shall_v you_o know_v on_o which_o side_n of_o the_o meridian_n the_o nonagessima_fw-la degree_n be_v &_o how_o far_o from_o the_o meridian_n then_o if_o that_o index_n be_v lay_v upon_o the_o hour_n of_o 12_o where_o the_o parallel_n of_o the_o nonagessima_fw-la degree_n cross_v it_o that_o shall_v be_v the_o height_n of_o it_o if_o it_o be_v in_o the_o meridian_n account_v therefore_o from_o the_o meridian_n or_o hour_n of_o 12._o in_o the_o aequator_fw-la the_o number_n of_o degree_n between_o the_o nonagessima_fw-la degree_n and_o the_o degree_n of_o the_o ecliptic_a in_o the_o meridian_n &_o mark_v where_o that_o meridian_n meet_v with_o the_o parallel_n of_o the_o of_o the_o nonagessima_fw-la degree_n lay_v the_o index_n thereto_o so_o have_v you_o the_o altitude_n of_o the_o nonagessima_fw-la degree_n in_o the_o index_n and_o the_o azimuth_n in_o the_o horizon_n or_o limb_n of_o the_o instrument_n there_o be_v yet_o the_o 48._o 49._o 50._o 9_o 13._o 14._o and_o 15_o use_n of_o the_o say_a index_n or_o table_n which_o have_v no_o relation_n to_o the_o sun_n sight_n or_o observation_n in_o there_o operation_n and_o resolution_n and_o shall_v have_v follow_v these_o 26._o use_n that_o have_v be_v deliver_v but_o i_o refer_v they_o to_o the_o end_n of_o this_o tractat_fw-la as_o for_o these_o use_n of_o the_o instrument_n which_o depend_v upon_o the_o sun_n sight_n or_o observation_n they_o be_v these_o 13._o follow_a viz._n the_o 1._o 31._o 4._o 6._o 36._o 7._o 22._o 3._o 5._o 34._o 11._o 43._o and_o 8_o viz._n to_o show_v 1._o the_o sun_n or_o star_n altitude_n above_o the_o horizon_n at_o any_o time_n 2._o the_o hour_n of_o the_o day_n and_o azimuth_n of_o the_o sun_n 3._o the_o meridian_n line_n upon_o any_o appearance_n of_o the_o sun_n 4._o the_o sit_v of_o a_o building_n or_o cost_v of_o a_o place_n 5._o the_o sun_n azimuth_n and_o hour_n without_o observation_n 6._o the_o variation_n of_o the_o needle_n 7._o the_o latitude_n of_o a_o place_n or_o height_n of_o the_o pole_n above_o the_o horizon_n 8._o the_o sun_n azimuth_n and_o altitude_n at_o any_o hour_n 9_o the_o uncertainetie_n of_o time_n by_o note_v the_o shadow_n of_o thing_n 10._o the_o quarter_n of_o the_o year_n and_o day_n of_o the_o month_n with_o the_o hour_n azimuth_n and_o the_o meridian_n line_n 11._o instant_o the_o hour_n of_o the_o day_n the_o azimuth_n and_o altitude_n of_o the_o sun_n with_o the_o meridional_a line_n without_o observation_n or_o sight_n of_o the_o sun_n by_o know_v the_o proportion_n between_o the_o length_n of_o a_o shadow_n upon_o a_o horizontal_a plain_n and_o that_o which_o do_v cast_v the_o shadow_n 12._o the_o declination_n of_o a_o wall_n by_o see_v the_o sun_n beginning_n to_o shine_v thereon_o or_o go_v from_o it_o 13._o the_o declination_n of_o a_o wall_n the_o sun_n shine_v thereon_o first_o how_o to_o observe_v the_o sun_n or_o pro._n 27_o star_n altitude_n above_o the_o horizon_n at_o any_o time_n lift_v up_o the_o edge_n of_o the_o instrument_n to_o the_o eye_n constru_n ¦_o ctio_fw-la 35_o so_o that_o the_o sight_n which_o be_v at_o the_o limb_n or_o circumference_n of_o the_o quadrant_n be_v next_o the_o eye_n and_o the_o index_n to_o hang_v perpendicular_a and_o to_o play_v easy_o by_o the_o side_n thereof_o then_o move_v the_o quadrant_n up_o and_o down_o until_o you_o may_v through_o both_o sight_n see_v the_o centre_n or_o middle_n of_o the_o sun_n or_o star_n so_o the_o index_n in_o the_o limb_n shall_v fall_v upon_o the_o degree_n of_o the_o sun_n or_o star_n altitude_n above_o the_o horizon_n at_o that_o time_n or_o without_o look_v at_o the_o sun_n the_o altitude_n thereof_o may_v be_v thus_o find_v hold_v the_o quadrant_n constru_n ¦_o ctio_fw-la 36_o that_o the_o index_n may_v hang_v perpendicular_a or_o be_v vertical_a as_o before_o then_o move_v about_o the_o instrument_n until_o the_o edge_n of_o it_o be_v opposite_a to_o the_o body_n of_o the_o sun_n now_o suppose_v the_o instrument_n to_o hang_v thus_o upon_o his_o centre_n soft_o lift_v up_o the_o edge_n thereof_o which_o be_v towards_o the_o sun_n until_o you_o see_v the_o beam_n of_o the_o sun_n pass_v through_o both_o sight_n than_o the_o index_n in_o the_o limb_n shall_v give_v the_o sun_n altitude_n as_o before_o pro._n 28_o second_o how_o to_o find_v the_o hour_n of_o the_o day_n and_o azimuth_n of_o the_o sun_n upon_o any_o appearance_n of_o the_o sun_n constru_n ¦_o ctio_fw-la 37_o by_o the_o last_o pro._n observe_v or_o take_v the_o sun_n altitude_n and_o account_n it_o on_o the_o index_n then_o seek_v for_o the_o parallel_n of_o the_o day_n of_o the_o month_n for_o the_o day_n present_a &_o move_v the_o index_n until_o that_o degree_n of_o altitude_n in_o the_o edge_n of_o the_o index_n meet_v with_o the_o parallel_n of_o the_o day_n so_o the_o meridian_n that_o meet_v with_o that_o degree_n of_o altitude_n in_o the_o index_n shall_v be_v the_o hour_n of_o the_o day_n require_v &_o the_o edge_n of_o the_o index_n in_o the_o limb_n of_o the_o instrument_n shall_v likewise_o show_v the_o sun_n azimuth_n belong_v to_o that_o hour_n so_o if_o upon_o the_o last_o of_o august_n the_o sun_n altitude_n in_o the_o forenoon_n shall_v be_v observe_v and_o find_v to_o be_v 30._o exam._n gr_n &_o a_o half_a seek_v this_o altitude_n out_o upon_o the_o index_n &_o move_v the_o index_n until_o the_o degree_n of_o altitude_n meet_v with_o the_o parallel_n for_o the_o day_n of_o the_o month_n give_v viz._n the_o five_o parallel_n from_o the_o aequator_fw-la northward_o so_o the_o houreline_n that_o meet_v also_o with_o the_o 30._o gr_n &_o a_o half_a in_o the_o index_n be_v the_o hour_n viz._n near_o 9_o &_o that_o shall_v be_v the_o hour_n of_o the_o day_n at_o that_o instant_n &_o the_o edge_n of_o the_o index_n in_o the_o limb_n cut_v near_o 35._o gr_n and_o 30._o m_o from_o the_o point_n of_o east_n towards_o the_o south_n and_o so_o much_o be_v the_o sun_n azimuth_n at_o that_o time_n three_o how_o to_o find_v the_o meridian_n pro._n 29_o line_n and_o the_o true_a point_n of_o north_n &_o south_n east_n and_o west_n upon_o any_o appearance_n of_o the_o sun_n according_a to_o the_o 27._o pro._n first_o observe_v the_o constru_n ¦_o ctio_fw-la 38_o sun_n altitude_n above_o the_o horizon_n and_o by_o the_o last_o construction_n find_v the_o sun_n azimuth_n agreeable_a to_o that_o altitude_n let_v the_o index_n and_o rest_n at_o that_o degree_n and_o erect_v the_o prependicular_a at_o the_o end_n of_o the_o index_n then_o hold_v the_o plain_a or_o face_n of_o the_o quadrant_n parallel_v to_o the_o horizon_n move_v the_o instrument_n circular_a until_o the_o shadow_n of_o the_o say_v perpendicular_a fall_n by_o the_o side_n of_o the_o index_n and_o so_o the_o hoverline_n of_o 12_o or_o the_o edge_n of_o the_o instrument_n which_o be_v parallel_n unto_o it_o which_o be_v the_o north_n and_o south_n edge_n of_o the_o instrument_n shall_v represent_v the_o meridian_n line_n and_o point_v out_o the_o north_n and_o south_n in_o the_o horizon_n of_o the_o world_n by_o the_o term_n thereof_o and_o the_o other_o straight_o edge_n of_o the_o instrument_n which_o be_v perpendicular_a unto_o that_o edge_n be_v the_o east_n and_o west_n edge_n of_o the_o instrument_n and_o denote_v or_o show_v the_o line_n of_o east_n and_o west_n in_o the_o