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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 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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