concentric_a to_o the_o limb_n to_o keep_v the_o other_o at_o a_o certainty_n in_o stretch_v and_o the_o other_o to_o be_v rectify_v for_o use_v to_o rectify_v the_o bead._n lay_v the_o thread_n over_o the_o day_n of_o the_o month_n in_o its_o proper_a circle_n and_o if_o the_o season_n wherein_o the_o quadrant_n be_v to_o be_v use_v be_v in_o the_o winter_n half_a year_n set_v the_o bead_n by_o remove_v it_o to_o the_o winter_n ecliptic_a but_o in_o summer_n let_v it_o be_v set_v to_o the_o low_a or_o summer_n ecliptic_a and_o then_o it_o be_v fit_v for_o use_n one_o caution_n in_o rectify_v the_o bead_n be_v to_o be_v give_v and_o that_o be_v in_o summer_n time_n if_o it_o be_v require_v to_o find_v the_o hour_n and_o azimuth_n of_o the_o sun_n by_o the_o projection_n before_o the_o hour_n of_o 6_o in_o the_o morning_n or_o after_o it_o in_o the_o evening_n or_o which_o be_v all_o one_o when_o the_o sun_n have_v less_o altitude_n than_o he_o have_v at_o 6_o of_o the_o clock_n then_o 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may_v conclude_v if_o his_o observe_a altitude_n be_v less_o upon_o the_o same_o day_n and_o the_o hour_n and_o azimuth_n seek_v the_o bead_n must_v be_v set_v to_o the_o winter_n ecliptic_a and_o the_o operation_n perform_v in_o the_o revert_v tail_n here_o it_o may_v be_v note_v also_o that_o the_o exact_a way_n of_o rectify_v the_o bead_n will_v be_v either_o from_o a_o table_n of_o the_o sun_n declination_n lay_v the_o thread_n over_o the_o same_o in_o the_o graduated_a circle_n or_o from_o his_o true_a place_n lay_v it_o over_o the_o same_o in_o the_o proper_a ecliptic_a or_o from_o his_o right_a ascension_n count_v in_o the_o limb._n or_o last_o from_o his_o meridian_n altitude_n on_o the_o right_a edge_n of_o the_o quadrant_n for_o these_o do_v mutual_o give_v each_o other_o the_o bead_n be_v rectify_v to_o the_o respective_a ecliptic_a as_o before_o for_o example_n to_o find_v the_o sun_n declination_n the_o thread_n lay_v over_o the_o day_n of_o the_o month_n intersect_v it_o upon_o that_o circle_n whereon_o it_o be_v graduate_v which_o in_o the_o summer_n half_a year_n be_v to_o be_v account_v on_o this_o side_n the_o equinoctial_a north_n and_o in_o the_o winter-half_a year_n south_n so_o lay_v the_o thread_n over_o the_o 27_o day_n of_o april_n it_o intersect_v the_o circle_n of_o declination_n at_o 17_o degree_n and_o so_o much_o be_v the_o sun_n declination_n to_o find_v the_o sun_n true_a place_n the_o thread_n lie_v as_o before_o show_v it_o on_o the_o respective_a ecliptic_a so_o the_o thread_n lie_v over_o the_o 17_o of_o april_n will_v cut_v the_o summer_n ecliptic_a in_o 17_o 7_o m_o of_o taurus_n or_o in_o 12_o 53_o m_o of_o leo_n which_o agree_v to_o the_o 26_o day_n of_o july_n or_o thereabouts_o the_o thread_n intersect_v both_o these_o day_n at_o once_o and_o the_o opposite_a point_n of_o the_o ecliptic_a hereto_o be_v 17dâ—_o m_o in_o scorpio_n about_o the_o 20_o of_o october_n and_o 12_o 53_o m_o of_o aquarius_n about_o the_o 22_o of_o january_n all_o show_v at_o once_o by_o the_o thread_n position_n to_o find_v the_o sun_n right_a ascension_n lay_v the_o thread_n over_o the_o day_n of_o the_o month_n as_o before_o and_o it_o intersect_v it_o in_o the_o equal_a limb_n whence_o take_v it_o in_o degree_n and_o minute_n of_o the_o equator_fw-la whilst_o the_o sun_n be_v depart_v from_o the_o equator_fw-la towards_o the_o tropic_n it_o must_v be_v count_v as_o the_o graduation_n of_o the_o limb_n from_o the_o left_a edge_n towards_o the_o right_n but_o when_o the_o sun_n be_v return_v from_o the_o right_a edge_n towards_o the_o left_a the_o right_a ascension_n thus_o find_v must_v be_v estimate_v according_a to_o the_o season_n of_o the_o year_n from_o june_n 11_o to_o sept._n 13_o it_o must_v have_v 90_o degree_n add_v to_o it_o sep._n 13_o to_o dec._n 11_o it_o must_v have_v 180_o degree_n add_v to_o it_o dec._n 11_o to_o mar._n 10_o it_o must_v have_v 270_o degree_n add_v to_o it_o but_o in_o find_v the_o hour_n of_o the_o night_n by_o the_o quadrant_n we_o need_v no_o more_o than_o 12_o hour_n of_o ascension_n for_o either_o sun_n or_o star_n and_o the_o limb_n be_v according_o number_v from_o the_o left_a edge_n towards_o the_o right_n from_o 1_o to_z 6_o in_o a_o small_a figure_n and_o thence_o back_o again_o to_o 12_o and_o the_o other_o figure_n be_v the_o compliment_n of_o these_o to_o 12._o so_o that_o when_o the_o sun_n be_v depart_v from_o the_o equator_fw-la towards_o the_o tropic_n his_o right_a ascension_n be_v always_o less_o than_o 6_o hour_n and_o the_o compliment_n of_o it_o more_o but_o when_o he_o be_v return_v from_o the_o tropic_n towards_o the_o equator_fw-la it_o be_v always_o more_o than_o 6_o hour_n and_o the_o compliment_n of_o it_o less_o the_o odd_a minute_n be_v to_o be_v take_v from_o the_o limb_n where_o each_o degree_n be_v divide_v into_o 4_o part_n each_o part_n signify_v a_o minute_n of_o time_n and_o to_o know_v whether_o the_o sun_n do_v depart_v from_o or_o return_v towards_o the_o equator_fw-la be_v very_o visible_a by_o the_o progress_n and_o regress_n of_o the_o day_n of_o the_o month_n as_o they_o be_v denominate_v on_o the_o quadrant_n example_n so_o the_o thread_n lay_v over_o 17_o of_o declination_n which_o will_v be_v about_o the_o 27_o april_n the_o sun_n right_a ascension_n will_v be_v 44_o 37_o m_o in_o time_n 2_o h_o 58′_n 26_o july_n the_o sun_n right_a ascension_n will_v be_v 135_o 23_o in_o time_n 9_o 2_o 20_o october_n the_o sun_n right_a ascension_n will_v be_v 224_o 37_o in_o time_n 2_o 58_o 22_o january_n the_o sun_n right_a ascension_n will_v be_v 315_o 23_o in_o time_n 9_o 2_o but_o here_o the_o latter_a 12_o hour_n be_v omit_v such_o proposition_n as_o require_v the_o use_n of_o the_o bead_n be_v to_o find_v the_o sun_n amplitude_n or_o coast_n of_o rise_v and_o set_v from_o the_o true_a east_n or_o west_n bring_v the_o bead_n be_v rectify_v to_o either_o of_o the_o ecliptic_o it_o matter_n not_o which_o to_o either_o of_o the_o orison_n and_o the_o thread_n will_v intersect_v the_o amplitude_n seek_v upon_o both_o alike_o example_n the_o sun_n declination_n be_v 17_o north_n or_o south_n the_o sun_n amplitude_n will_v be_v find_v to_o be_v 28_o 2m._o the_o amplitude_n before_o find_v for_o the_o summer_n half_a year_n be_v to_o be_v account_v from_o east_n or_o west_n northwards_o and_o in_o the_o winter_n half_a year_n from_o thence_o southwards_o to_o find_v the_o time_n of_o the_o sun_n rise_v or_o set_v the_o thread_n lie_v in_o the_o same_o position_n as_o in_o the_o former_a proposition_n intersect_v the_o ascensional_a difference_n in_o the_o limb_n which_o may_v there_o be_v count_v either_o in_o degree_n or_o time_n example_n so_o the_o bead_n lie_v upon_o the_o horizon_n be_v rectify_v to_o 17_o of_o declination_n the_o thread_n intersect_v the_o limb_n at_o 22_o 38_o m_o which_o be_v 1_o h_o 30_o m_o of_o time_n and_o so_o it_o show_v the_o time_n of_o sun_n rise_v in_o summer_n or_o set_v in_o winter_n to_o be_v at_o half_a a_o hour_n past_o 4_o and_o his_o rise_n in_o winter_n and_o set_v in_o summer_n to_o be_v at_o half_a a_o hour_n past_o 7._o to_o find_v the_o length_n of_o the_o day_n or_o night_n the_o time_n of_o the_o sun_n rise_v and_o set_v be_v one_o of_o they_o the_o compliment_n of_o the_o other_o to_o 12_o hour_n so_o that_o one_o of_o they_o be_v know_v the_o other_o will_v be_v find_v by_o substraction_n the_o time_n of_o sun_n set_v be_v equal_a to_o half_a the_o length_n of_o the_o day_n and_o this_o double_v give_v the_o whole_a length_n of_o the_o day_n in_o
reference_n to_o the_o sun_n abode_n above_o the_o horizon_n the_o time_n of_o set_v convert_v into_o degree_n be_v also_o call_v the_o semi-diurnal_a ark_n the_o time_n of_o sun_n rise_v so_o convert_v be_v call_v the_o seminocturnal_a ark_n double_v give_v the_o whole_a length_n of_o the_o night_n so_o upon_o the_o 27_o day_n of_o april_n the_o sun_n have_v 17_o of_o declination_n the_o length_n of_o the_o day_n be_v 15_o hour_n and_o the_o length_n of_o the_o night_n 9_o hour_n to_o find_v the_o sun_n altitude_n on_o all_o hour_n or_o at_o any_o time_n propose_v in_o summer_n time_n if_o the_o hour_n propose_v be_v before_o 6_o in_o the_o morning_n or_o after_o it_o in_o the_o evening_n lay_v the_o thread_n to_o the_o hour_n in_o the_o limb_n the_o bead_n be_v first_o rectify_v to_o the_o winter_n ecliptic_a and_o among_o the_o parallel_n of_o altitude_n above_o the_o upper_a horizon_n it_o show_v the_o altitude_n seek_v example_n so_o the_o sun_n have_v 16_o of_o declination_n northwards_o as_o about_o the_o 24_o of_o april_n lay_v the_o thread_n over_o the_o declination_n i_o set_v the_o bead_n to_o the_o winter_n ecliptic_a and_o if_o it_o be_v require_v to_o find_v what_o altitude_n the_o sun_n shall_v have_v at_o 36_o minute_n past_o 6_o in_o the_o afternoon_n lay_v the_o thread_n over_o the_o same_o in_o the_o limb_n and_o the_o bead_n among_o the_o parallel_n of_o altitude_n will_v fall_v upon_o 7_o at_o all_o other_o time_n the_o operation_n be_v alike_o the_o bead_n be_v rectify_v to_o that_o ecliptic_a that_o be_v proper_a to_o the_o season_n of_o the_o year_n lay_v the_o thread_n over_o the_o propose_a hour_n in_o the_o limb_n and_o the_o bead_n among_o the_o parallel_n of_o altitude_n show_v the_o altitude_n seek_v example_n so_o if_o it_o be_v require_v the_o same_o day_n to_o find_v what_o altitude_n the_o sun_n shall_v have_v at_o 19_o m_o past_o 2_o in_o the_o afternoon_n lay_v the_o thread_n in_o the_o limb_n over_o the_o time_n give_v and_o the_o bead_n among_o the_o parallel_n of_o altitude_n will_v fall_v upon_o 45_o for_o the_o altitude_n seek_v to_o find_v the_o sun_n altitude_n on_o all_o azimuth_n in_o the_o summer_n half_a year_n if_o the_o azimuth_n propound_v be_v more_o northward_o than_o the_o azimuth_n of_o the_o sun_n shall_v have_v at_o the_o hour_n of_o 6_o the_o bead_n must_v be_v rectify_v to_o the_o winter_n ecliptic_a and_o bring_v to_o the_o azimuth_n propose_v above_o the_o upper_a horizon_n and_o there_o among_o the_o parallel_n of_o altitude_n it_o show_v the_o altitude_n seek_v so_o about_o the_o 24_o of_o april_n when_o the_o sun_n declination_n be_v 16_o his_o azimuth_n at_o 6_o of_o the_o clock_n will_v be_v find_v to_o be_v 76_o 54_o m_o from_o the_o south_n then_o if_o it_o be_v require_v to_o find_v the_o sun_n altitude_n upon_o a_o azimuth_n more_o remote_a as_o upon_o 107_o from_o the_o south_n lay_v the_o thread_n over_o the_o declination_n i_o set_v the_o bead_n to_o the_o winter_n ecliptic_a and_o afterward_o carry_v it_o to_o the_o azimuth_n propose_v among_o the_o parallel_n of_o altitude_n above_o the_o upper_a horizon_n it_o fall_v upon_o 7_o for_o the_o sun_n altitude_n seek_v in_o all_o other_o case_n bring_v the_o bead_n rectify_v to_o the_o ecliptic_a proper_a to_o the_o season_n of_o the_o year_n to_o the_o azimuth_n propose_v and_o among_o the_o parallel_n of_o altitude_n it_o show_v the_o altitude_n seek_v so_o far_o the_o same_o day_n i_o set_v the_o bead_n to_o the_o summer_n ecliptic_a and_o if_o it_o be_v require_v to_o know_v what_o altitude_n the_o sun_n shall_v have_v when_o his_o azimuth_n be_v 50_o 48′_n from_o the_o meridian_n carry_v the_o bead_n to_o the_o say_a azimuth_n and_o among_o the_o parallel_n of_o altitude_n it_o will_v fall_v upon_o 45_o for_o the_o altitude_n seek_v the_o hour_n of_o the_o night_n propose_v to_o find_v the_o sun_n depression_n under_o the_o horizon_n imagine_v the_o sun_n to_o have_v as_o much_o declination_n on_o the_o other_o side_n the_o equinoctial_a as_o he_o have_v on_o the_o side_n propose_v and_o this_o case_n will_v be_v co-incident_a with_o the_o former_a of_o find_v the_o sun_n altitude_n for_o any_o time_n propose_v the_o reason_n whereof_o be_v because_o 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 in_o the_o ecliptic_a be_v above_o the_o horizon_n at_o the_o like_a hour_n of_o the_o day_n such_o proposition_n as_o depend_v upon_o the_o knowledge_n of_o the_o sun_n altititude_n be_v to_o find_v the_o hour_n of_o the_o day_n and_o the_o azimuth_n or_o true_a coast_n of_o the_o sun_n the_o sun_n altitude_n be_v take_v by_o hold_v the_o quadrant_n steady_a and_o let_v the_o sun_n beam_n to_o pass_v through_o both_o the_o sight_n at_o once_o and_o the_o thread_n hang_v at_o liberty_n show_v it_o in_o the_o equal_a limb_n if_o this_o be_v think_v unsteady_a the_o quadrant_n may_v rest_v upon_o some_o concave_a dish_n or_o pot_n into_o which_o the_o plummet_n may_v have_v room_n to_o play_v but_o for_o great_a quadrant_n there_o be_v common_o pedistall_n make_v the_o altitude_n suppose_v to_o find_v the_o hour_n of_o the_o day_n and_o the_o azimuth_n of_o the_o sun_n in_o winter_n rectify_v the_o bead_n to_o the_o winter_n ecliptic_a and_o carry_v it_o along_o among_o the_o parallel_n of_o altitude_n till_o it_o cut_v or_o intersect_v that_o parralel_n of_o altitude_n on_o which_o the_o sun_n be_v observe_v and_o the_o thread_n in_o the_o limb_n show_v the_o hour_n of_o the_o day_n and_o the_o bead_n among_o the_o azimuth_n show_v the_o azimuth_n of_o the_o sun_n example_n so_o about_o the_o 18_o of_o october_n when_o the_o sun_n declination_n be_v 13_o 20′_n south_n if_o his_o observe_a altitude_n be_v 18_o the_o true_a time_n of_o the_o day_n will_v be_v find_v to_o be_v either_o 36_o minute_n after_o 9_o or_o 24_o minute_n past_o 2_o and_o his_o azimuth_n will_v be_v 37_o degree_n from_o the_o south_n to_o find_v the_o hour_n of_o the_o day_n and_o the_o azimuth_n of_o the_o sun_n at_o any_o time_n in_o the_o summer_n half_a year_n it_o be_v before_o intimate_v that_o if_o the_o question_n be_v put_v when_o the_o sun_n have_v less_o altitude_n than_o he_o have_v at_o the_o hour_n of_o 6_o of_o the_o clock_n that_o then_o the_o operation_n must_v be_v perform_v among_o those_o parallel_n above_o the_o upper_a horizon_n in_o the_o revert_v tail_n the_o bead_n be_v rectify_v to_o the_o winter_n ecliptic_a and_o that_o it_o may_v be_v know_v what_o altitude_n the_o sun_n shall_v have_v at_o 6_o of_o the_o clock_n by_o bring_v the_o bead_n rectify_v to_o the_o summer_n ecliptic_a to_o the_o left_a edge_n of_o the_o quadrant_n so_o admit_v the_o sun_n to_o have_v 16_o of_o north_n declination_n which_o will_v be_v about_o the_o 24_o april_n i_o may_v find_v his_o altitude_n at_o 6_o of_o the_o clock_n by_o bring_v the_o bead_n rectify_v to_o the_o summer_n ecliptic_a to_o the_o left_a edge_n of_o the_o quadrant_n to_o be_v 12_o 28_o m_o whence_o i_o conclude_v if_o his_o altitude_n be_v less_o the_o bead_n must_v be_v rectify_v to_o the_o winter_n ecliptic_a and_o be_v bring_v to_o those_o parallel_n above_o the_o upper_a horizon_n and_o it_o may_v be_v note_v that_o the_o sun_n altitude_n at_o 6_o be_v always_o less_o than_o his_o declination_n example_n admit_v the_o 24_o of_o april_n aforesaid_a the_o sun_n observe_v altitude_n be_v 7_o lay_v the_o thread_n over_o the_o sun_n declination_n or_o the_o day_n of_o the_o month_n i_o rectify_v the_o bead_n to_o the_o winter_n ecliptic_a and_o bring_v it_o to_o the_o say_a parralel_n of_o altitude_n above_o the_o upper_a horizon_n and_o the_o thread_n intersect_v the_o limb_n at_o 9_o 3_o m_z show_v the_o hour_n of_o the_o day_n to_o be_v 24_o minute_n past_o 5_o in_o the_o morning_n or_o 36′_n past_o 6_o in_o the_o evening_n and_o the_o bead_n among_o the_o azimuth_n show_v the_o azimuth_n or_o coast_n of_o the_o sun_n to_o be_v 107_o from_o the_o south_n another_o example_n but_o admit_v the_o sun_n to_o have_v more_o altitude_n than_o he_o have_v at_o the_o hour_n of_o 6_o the_o operation_n notwithstanding_o differ_v not_o from_o the_o former_a but_o only_o in_o rectify_v the_o bead_n which_o must_v be_v set_v to_o the_o summer_n ecliptic_a and_o then_o carry_v to_o the_o parralel_n of_o the_o sun_n observe_v altitude_n and_o the_o thread_n will_v intersect_v the_o limb_n at_o the_o true_a time_n of_o the_o day_n and_o the_o bead_n among_o the_o azimuth_n show_v the_o true_a coast_n of_o the_o sun_n so_o upon_o the_o 24_o of_o april_n aforesaid_a the_o sun_n observe_v
one_o day_n variation_n in_o 300_o year_n as_o be_v observe_v by_o mr._n philip_n the_o use_v of_o the_o quadrant_n without_o rectify_v the_o bead_n nothing_o can_v be_v perform_v by_o this_o projection_n except_o find_v the_o sun_n meridian_n altitude_n be_v show_v upon_o the_o index_n by_o the_o intersection_n of_o the_o parallel_n of_o declination_n therewith_o also_o the_o time_n when_o the_o sun_n will_v be_v due_a east_n or_o west_n trace_v the_o parallel_n of_o declination_n to_o the_o right_a edge_n of_o the_o projection_n and_o the_o hour_n it_o there_o intersect_v in_o most_o case_n to_o be_v due_o estimate_v show_v the_o time_n seek_v thus_o when_o the_o sun_n have_v 21_o deg_n of_o north_n declination_n we_o shall_v find_v that_o he_o will_v be_v due_a east_n or_o west_n about_o three_o quarter_n of_o a_o hour_n past_o 4_o in_o the_o afternoon_n or_o a_o quarter_n past_o 7_o in_o the_o morning_n the_o declination_n be_v to_o be_v find_v on_o the_o backside_n of_o the_o quadrant_a by_o lay_v the_o thread_n over_o the_o day_n of_o the_o month_n to_o rectify_v the_o bead._n lay_v the_o thread_n upon_o the_o graduated_a index_n and_o set_v the_o bead_n to_o the_o observe_v or_o give_v altitude_n and_o when_o the_o altitude_n be_v nothing_o or_o when_o the_o sun_n be_v in_o the_o horizon_n set_v the_o bead_n to_o the_o cypher_n on_o the_o graduated_a index_n which_o afterward_o be_v carry_v without_o stretch_v to_o the_o parallel_n of_o declination_n the_o thread_n in_o the_o limb_n show_v the_o amplitude_n or_o azimuth_n and_o the_o bead_n among_o the_o hour_n show_v the_o true_a time_n of_o the_o day_n example_n upon_o the_o 24_o of_o april_n the_o sun_n declination_n will_v be_v find_v to_o 16_o deg_n north._n now_o to_o find_v his_o amplitude_n and_o the_o time_n of_o his_o rise_n lay_v the_o thread_n over_o the_o graduated_a index_n set_v the_o bead_n to_o the_o begin_n of_o the_o graduation_n of_o the_o index_n and_o bring_v it_o without_o stretch_v to_o the_o parallel_n of_o declination_n above_o be_v 16_o d_o and_o the_o thread_n in_o the_o limb_n will_v lie_v over_o 26_o deg_n 18′_n for_o the_o sun_n amplitude_n or_o coast_n of_o rise_v to_o the_o northward_o of_o the_o east_n and_o the_o bead_n among_o the_o hour_n show_v 24_o minute_n past_o 4_o for_o the_o time_n of_o sun_n rise_v which_o double_v give_v the_o length_n of_o the_o night_n 8_o hour_n 49_o min._n in_o like_a manner_n the_o time_n of_o set_v double_v give_v the_o length_n of_o the_o day_n the_o same_o to_o find_v the_o hour_n and_o azimuth_n let_v the_o give_v altitude_n be_v 45_o degree_n have_v rectify_v the_o bead_n to_o the_o say_a altitude_n on_o the_o index_n and_o bring_v it_o to_o the_o intersect_n the_o parallel_n of_o declination_n the_o thread_n lie_v over_o 50_o degree_n 48′_n for_o the_o sun_n azimuth_n from_o the_o south_n and_o the_o bead_n among_o the_o hour_n show_v the_o time_n of_o the_o day_n to_o be_v 41_o minute_n past_o 9_o in_o the_o morning_n or_o 19_o minute_n past_o two_o in_o the_o afternoon_n another_o example_n wherein_o the_o operation_n will_v be_v upon_o the_o revert_v tail_n let_v the_o altitude_n be_v 3_o deg_n 30′_n and_o the_o declination_n 16_o deg_n north_n as_o before_o to_o know_v when_o to_o rectify_v the_o bead_n to_o the_o upper_a or_o nether_a altitude_n will_v be_v no_o matter_n of_o difficulty_n for_o if_o the_o bead_n be_v set_v to_o the_o nether_a altitude_n will_v not_o meet_v with_o the_o parallel_n of_o declination_n than_o set_v it_o to_o the_o upper_a altitude_n and_o it_o will_v meet_v with_o winter_n parallel_n of_o like_a declination_n which_o in_o this_o case_n supply_v the_o turn_n so_o in_o this_o example_n the_o bead_n be_v set_v to_o the_o upper_a altitude_n of_o 3_o deg_n 30′_n and_o carry_v to_o the_o winter_n parallel_n of_o declination_n the_o thread_n in_o the_o limb_n will_v fall_v upon_o 68_o deg_n 28′_n for_o the_o sun_n azimuth_n from_o the_o north_n and_o the_o bead_n among_o the_o hour_n show_v the_o time_n of_o the_o day_n to_o be_v either_o 5_o in_o the_o morning_n or_o 7_o at_o night_n another_o example_n admit_v the_o sun_n have_v 20_o degr_n of_o north_n declination_n as_o about_o the_o 9th_o of_o may_n and_o his_o observe_a altitude_n be_v 56_o deg_n 20′_n have_v rectify_v the_o bead_n thereto_o and_o bring_v it_o to_o intersect_v the_o parallel_n of_o 20_o deg_n among_o the_o hour_n it_o show_v the_o time_n of_o the_o day_n to_o be_v 11_o in_o the_o morning_n or_o 1_o in_o the_o afternoon_n and_o the_o azimuth_n of_o the_o sun_n to_o be_v 26_o deg_n from_o the_o south_n the_o use_v of_o the_o projection_n to_o find_v the_o sun_n altitude_n on_o all_o hour_n or_o azimuth_n will_v be_v but_o the_o converse_n of_o what_o be_v already_o say_v therefore_o one_o example_n shall_v serve_v when_o the_o sun_n have_v 45_o deg_n of_o azimuth_n from_o the_o south_n and_o his_o declination_n 13_o deg_n northwards_o lay_v the_o thread_n over_o 45_o deg_n in_o the_o limb_n and_o where_o the_o thread_n intersect_v the_o parallel_n of_o declination_n thereto_o remove_v the_o bead_n which_o carry_v to_o the_o index_n without_o stretch_v show_v 43_o deg_n 50′_n for_o the_o altitude_n seek_v likewise_o to_o the_o same_o declination_n if_o it_o be_v require_v to_o find_v the_o sun_n altitude_n for_o the_o hour_n of_o 2_o or_o 10._o lay_v the_o thread_n over_o the_o intersection_n of_o the_o hour_n propose_v with_o the_o parallel_n of_o declination_n and_o thereto_o set_v the_o bead_n which_o carry_v to_o the_o index_n show_v the_o altitude_n seek_v namely_o 44_o deg_n 31′_n the_o same_o altitude_n also_o belong_v to_o that_o azimuth_n the_o thread_n in_o the_o former_a position_n lie_v over_o in_o the_o limb_n this_o projection_n be_v of_o worst_a performance_n early_o in_o the_o morning_n or_o late_a in_o the_o evening_n about_o which_o time_n mr._n dary_n curve_v be_v of_o best_a performance_n whereto_o we_o now_o address_v ourselves_o of_o the_o curve_v line_n and_o scale_n thereto_o fit_v this_o as_o we_o have_v say_v before_o be_v the_o ingenious_a invention_n of_o m._n michael_n dary_n derive_v from_o the_o proportionalty_n of_o two_o like_v equiangle_v plain_a triangle_n accommodate_v to_o the_o latitude_n of_o london_n for_o the_o ready_a work_n of_o these_o two_o proportion_n 1._o for_o the_o hour_n as_o the_o cousin_n of_o the_o latitude_n be_v to_o the_o secant_fw-la of_o the_o declination_n so_o be_v the_o difference_n between_o the_o sine_fw-la of_o the_o sun_n propose_v and_o meridian_n altitude_n to_o the_o verse_v sine_fw-la of_o the_o hour_n from_o noon_n and_o the_o converse_n and_o so_o be_v the_o sine_fw-la of_o the_o sun_n meridian_n altitude_n to_o the_o verse_v sine_fw-la of_o the_o semidiurnal_a ark_n 2._o for_o the_o azimuth_n the_o curve_v be_v fit_v to_o find_v it_o from_o the_o south_n and_o not_o from_o the_o north_n and_o the_o proportion_n wrought_v upon_o it_o will_v be_v as_o the_o cousin_n of_o the_o latitude_n be_v to_o the_o secant_fw-la of_o the_o altitude_n so_o be_v the_o difference_n of_o the_o verse_v sin_n of_o the_o sun_n or_o star_n distance_n from_o the_o elevate_a pole_n and_o of_o the_o sum_n of_o the_o compliment_n both_o of_o the_o latitude_n and_o altitude_n to_o the_o verse_v sine_fw-la of_o the_o azimuth_n from_o the_o noon_n meridian_n which_o will_v not_o hold_v backward_o to_o find_v the_o altitude_n on_o all_o azimuth_n because_o the_o altitude_n be_v a_o term_n involve_v both_o in_o the_o second_o and_o three_o term_n of_o the_o former_a proportion_n if_o the_o three_o term_n of_o the_o former_a proportion_n have_v not_o be_v a_o difference_n of_o sines_n or_o verse_v sin_n the_o curve_v line_n will_v have_v be_v a_o straight-line_n and_o the_o three_o term_n always_o count_v from_o one_o point_n which_o though_o in_o the_o use_n it_o may_v seem_v to_o be_v so_o here_o yet_o in_o effect_n the_o three_o term_n for_o the_o hour_n be_v always_o count_v from_o the_o meridian_n altitude_n here_o observe_v that_o the_o thread_n lie_v over_o 12_o or_o the_o end_n of_o the_o verse_v scale_n and_o over_o the_o sun_n meridian_n altitude_n in_o the_o line_n of_o altitude_n it_o will_v also_o upon_o the_o curve_v show_v the_o sun_n declination_n which_o by_o construction_n be_v so_o frame_v that_o if_o the_o distance_n from_o that_o point_n to_o the_o meridian_n altitude_n be_v make_v the_o cousin_n of_o latitude_n the_o distance_n of_o the_o say_a point_n from_o the_o end_n of_o the_o verse_v scale_n number_v with_o 12_o shall_v be_v the_o secant_fw-la of_o the_o declination_n to_o the_o same_o radius_fw-la be_v both_o in_o one_o straight-line_n by_o the_o former_a constitution_n of_o the_o thread_n and_o instead_o
repair_n to_o the_o month_n you_o be_v in_o and_o those_o figure_n that_o stand_v against_o it_o show_v you_o what_o day_n of_o the_o say_a month_n the_o week_n day_n shall_v be_v the_o same_o as_o it_o be_v the_o first_o day_n of_o march._n example_n for_o the_o year_n 1660_o have_v find_v that_o the_o first_o day_n of_o march_n happen_v upon_o a_o thursday_n look_v into_o the_o column_n against_o june_n and_o february_n you_o will_v find_v that_o the_o seven_o 14_o 21th_o and_o 28_o day_n of_o those_o month_n be_v thursday_n whence_o it_o may_v be_v conclude_v if_o need_n be_v that_o the_o quarter_n day_n or_o 24_o day_n of_o june_n that_o year_n happen_v on_o the_o lord_n day_n of_o the_o epact_n the_o epact_n be_v a_o number_n carry_v on_o in_o account_n from_o year_n to_o year_n towards_o a_o new_a change_n and_o be_v 11_o day_n and_o some_o odd_a time_n beside_o cause_v by_o reason_n of_o the_o moon_n motion_n which_o change_v 12_o time_n in_o a_o year_n solar_a and_o run_v also_o this_o 11_o day_n more_o towards_o a_o new_a change_n the_o use_n of_o it_o serve_v to_o find_v the_o moon_n age_n and_o thereby_o the_o time_n of_o high_a water_n to_o know_v the_o moon_n age_n add_v to_o the_o day_n of_o the_o month_n the_o epact_n and_o so_o many_o day_n more_o as_o be_v month_n from_o march_n to_o the_o month_n you_o be_v in_o including_z both_o month_n the_o sum_n if_o less_o than_o 30_o be_v the_o moon_n age_n if_o more_o subtract_v 30_o and_o the_o residue_n in_o the_o moon_n age_n prope_fw-la verum_fw-la example_n the_o epact_n for_o the_o year_n 1658_o be_v 6_o and_o let_v it_o be_v require_v to_o know_v the_o moon_n age_n the_o 28_o of_o july_n be_v the_o five_o month_n from_o march_n both_o inclusive_a 6_o 28_o 5_o the_o sum_n of_o these_o three_o number_n be_v 39_o whence_o reject_v 30_o the_o remainder_n be_v 9_o for_o the_o moon_n age_n seek_v the_o former_a rule_n serve_v when_o the_o month_n have_v 31_o day_n but_o if_o the_o month_n have_v but_o 30_o day_n or_o less_o take_v away_o but_o 29_o and_o the_o residue_n be_v her_o age_n to_o find_v the_o time_n of_o the_o moon_n come_v to_o south_n multiply_v the_o moon_n age_n by_o 4_o and_o divide_v by_o 5_o the_o quotient_n show_v it_o every_o unit_fw-la that_o remain_v be_v in_o value_n twelve_o minute_n of_o time_n and_o because_o when_o the_o moon_n be_v at_o the_o full_a or_o 15_o day_n old_a she_o come_v to_o south_n at_o the_o hour_n of_o 12_o at_o midnight_n for_o ease_v in_o multiplication_n and_o division_n when_o her_o age_n exceed_v 15_o day_n reject_v 15_o from_o it_o example_n so_o when_o the_o moon_n be_v 8_o day_n old_a she_o come_v to_o south_n at_o 24_o minute_n past_o six_o of_o the_o clock_n which_o be_v know_v her_o rise_n or_o set_v may_v be_v rude_o guess_v at_o to_o be_v six_o hour_n more_o or_o less_o before_o she_o be_v south_n and_o her_o set_n as_o much_o after_o but_o in_o regard_n of_o the_o vary_a of_o her_o declination_n no_o general_a certain_a rule_n for_o the_o memory_n can_v be_v give_v here_o it_o may_v be_v note_v that_o the_o first_o 15_o day_n of_o the_o moon_n age_n she_o come_v to_o the_o meridian_n after_o the_o sun_n be_v to_o the_o eastward_o of_o he_o and_o the_o late_a 15_o day_n she_o come_v to_o the_o meridian_n before_o the_o sun_n be_v to_o the_o westward_n of_o he_o to_o find_v the_o time_n of_o high_a water_n to_o the_o time_n of_o the_o moon_n come_v to_o south_n add_v the_o time_n of_o high_a water_n on_o the_o change_n day_n proper_a to_o the_o place_n to_o which_o the_o question_n be_v suit_v the_o sum_n show_v the_o time_n of_o high_a water_n for_o example_n there_o be_v add_v in_o a_o table_n of_o the_o time_n of_o high_a water_n at_o london_n which_o any_o one_o may_v cast_v up_o by_o memory_n according_a to_o these_o rule_n it_o be_v to_o be_v note_v that_o spring_n tide_n high_a wind_n and_o the_o moon_n in_o her_o quarter_n cause_v some_o variation_n from_o the_o time_n here_o express_v moon_n age_n moon_n south_n tide_n london_n day_n ho._n mi._n ho._n mi_fw-mi 0 15_n 12_o 3_o 00_o 1 16_n 12_o 48_o 3_o 48_o 2 17_n 1_o 36_o 4_o 36_o 3 18_n 2_o 24_o 5_o 24_o 4 19_n 3_o 12_o 6_o 12_o 5 20_n 4_o  _fw-fr 7_o 00_o 6 21_n 4_o 48_o 7_o 48_o 7 22_n 5_o 36_o 8_o 36_o 8 23_n 6_o 24_o 9_o 24_o 9 24_n 7_o 12_o 10_o 12_o 10 25_n 8_o 00_o 11_o 00_o 11 26_n 8_o 48_o 11_o 48_o 12 27_n 9_o 36_o 12_o 36_o 13 28_n 10_o 24_o 1_o 24_o 14 29_n 11_o 12_o 2_o 12_o this_o rule_n may_v in_o some_o measure_n satisfy_v and_o serve_v for_o vulgar_a use_n for_o such_o as_o have_v occasion_n to_o go_v by_o water_n and_o but_o that_o there_o be_v spare_v room_n to_o grave_n on_o the_o epact_n nothing_o at_o all_o shall_v have_v be_v say_v thereof_o a_o table_n show_v the_o hour_n and_o minute_n to_o be_v add_v to_o the_o time_n of_o the_o moon_n come_v to_o south_n for_o the_o place_n follow_v be_v the_o time_n of_o high_a water_n on_o the_o change_n day_n  _fw-fr h._n m._n quinborough_n southampton_n portsmouth_n isle_n of_o wight_n beachie_n the_o spit_n kentish_a knock_n half_a tide_n at_o dunkirk_n 00_o  00_n rochester_n maulden_n aberdeen_n redban_n west_n end_n of_o the_o nowre_n black_a tail_n 00_o  45_n gravesend_n downes_n rumney_n silly_a half_a tide_n blackness_n ramkins_n semhead_n 1_o  30_n dundee_n st._n andrew_n lixborne_n st._n lucas_n bel_n isle_n holy_a isle_n 2_o  15_n london_n tinmouth_n hartlepoole_n whitby_n amsterdam_n gascoigne_n britain_n galizia_n 3_o  00_n barwick_n flamborough_n head_n bridlington_n bay_n ostend_n flushing_n bourdeaux_n fountnesse_n 3_o  45_n scarborough_n quarter_n tide_n lawrenas_n mountsbay_n severne_n king_n sale_n corke-haven_n baltamoor_n dungarvan_n calais_n creek_n bloy_v seven_o isle_n 4_o  30_n falmouth_n foy_n humber_n moonles_a newcastle_n dartmouth_n torbay_n caldy_n garnesey_n st._n mallow_n abrowrath_n lizard_n 5_o  15_n plymouth_n weymouth_n hull_n lin_n lundy_n antwerp_n holmes_n of_o bristol_n st._n david_n head_n concalo_fw-la saint_n malo_n 6_o  00_n bristol_n foulnes_n at_o the_o start_n 6_o  45_n milford_n bridg-water_n exwater_n land_n end_n waterford_n cape_n clear_a abermorick_n texel_n 7_o  20_n portland_n peterperpont_n harflew_v hague_n st._n magnus_n sound_v dublin_n lambay_n mackuels_n castle_n 8_o  15_n poole_n s._n helen_n man_n isle_n catnes_n orkney_n fair_a isle_n dunbar_n kildien_n basse_fw-fr island_n the_o casquer_n deep_o at_o half_a tide_n 9_o  _fw-fr needles_n oxford_n laysto_n south_n and_o north_n foreland_n 9_o  45_n yarmouth_n dover_n harwich_n in_o the_o frith_n bullen_n saint_n john_n de_fw-fr luce_fw-fr calais_n ride_v 10_o  30_n rye_n winchelsea_n gorend_a rivers_n mouth_n of_o thames_n fair_a isle_n rhodes_n 11_o  15_n to_o find_v the_o epact_n for_o ever_o in_o order_n hereto_o first_o find_v out_o the_o prime_a number_n divide_v the_o year_n of_o the_o lord_n by_o 19_o the_o residue_n after_o the_o division_n be_v finish_v be_v augment_v by_o a_o unit_fw-la be_v the_o prime_n seek_v and_o if_o nothing_o remain_v the_o prime_n be_v a_o unit._n to_o find_v the_o epact_n multiply_v the_o prime_n by_o 11_o the_o product_n be_v the_o epact_n seek_v if_o less_o than_o 30_o but_o if_o it_o be_v more_o the_o residue_n of_o the_o product_v divide_v by_o 30_o be_v the_o epact_n seek_v there_o note_v that_o the_o prime_n change_v the_o first_o of_o january_n and_o the_o epact_n the_o first_o of_o march_n otherwise_o have_v once_o obtain_v the_o epact_n add_v 11_o so_o it_o the_o sum_n if_o less_o than_o 30_o be_v the_o epact_n for_o the_o next_o year_n if_o more_o reject_v 30_o and_o the_o residue_n be_v the_o epact_n seek_v caution_n when_o the_o epact_n be_v find_v to_o be_v 29_o for_o any_o year_n the_o next_o year_n follow_v it_o will_v be_v 11_o and_o not_o 10_o as_o the_o rule_n will_v suggest_v a_o table_n of_o the_o epact_n belong_v to_o the_o respective_a prime_n pr._n 1_o 2_o 3_o 4_o 5_o 6_o 7_o 8_o 9_o 10_o 11_o 12_o 13_o 14_o 15_o 16_o 17_o 18_o 19_o ep._n 11_o 22_o 3_o 14_o 25_o 6_o 17_o 28_o 9_o 20_o 1_o 12_o 23_o 4_o 15_o 26_o 7_o 18_o 29_o the_o prime_a number_n call_v the_o golden_a number_n be_v the_o number_n of_o 19_o year_n in_o which_o space_n the_o moon_n make_v all_o variety_n of_o her_o change_n as_o if_o she_o change_v on_o a_o certain_a day_n of_o the_o month_n on_o a_o certain_a year_n she_o shall_v not_o change_v the_o same_o day_n of_o the_o month_n again_o till_o 19_o year_n after_o and_o then_o it_o do_v not_o happen_v upon_o the_o same_o hour_n of_o the_o day_n yet_o the_o difference_n do_v not_o cause_v
59_o 17_o 04_o 31_o 15_o 03_o 17_o 21_o day_n november_n ☉_o r._n a._n ☉_o decl._n h._n m._n d._n m._n 1_o 15_o 07_o 17_o 38_o 2_o 15_o 11_o 17_o 54_o 3_o 15_o 15_o 18_o 10_o 4_o 15_o 19_o 18_o 26_o 5_o 15_o 23_o 18_o 41_o 6_o 15_o 27_o 18_o 56_o 7_o 15_o 31_o 19_o 11_o 8_o 15_o 36_o 19_o 26_o 9_o 15_o 40_o 19_o 40_o 10_o 15_o 45_o 19_o 53_o 11_o 15_o 49_o 20_o 07_o 12_o 15_o 53_o 20_o 19_o 13_o 15_o 58_o 20_o 32_o 14_o 16_o 02_o 20_o 44_o 15_o 16_o 07_o 20_o 56_o 16_o 16_o 11_o 21_o 08_o 17_o 16_o 15_o 21_o 19_o 18_o 16_o 19_o 21_o 29_o 19_o 16_o 23_o 21_o 39_o 20_o 16_o 28_o 21_o 49_o 21_o 16_o 32_o 21_o 58_o 22_o 16_o 36_o 22_o 08_o 23_o 16_o 40_o 22_o 16_o 24_o 16_o 44_o 22_o 24_o 25_o 16_o 49_o 22_o 32_o 26_o 16_o 53_o 22_o 39_o 27_o 16_o 57_o 22_o 46_o 28_o 17_o 02_o 22_o 52_o 29_o 17_o 06_o 22_o 58_o 30_o 17_o 11_o 23_o 03_o 31_o  _fw-fr  _fw-fr  _fw-fr  _fw-fr day_n december_n ☉_o r._n a._n ☉_o decl._n h._n m._n d._n m._n 1_o 17_o 15_o 23_o 08_o 2_o 17_o 20_o 23_o 13_o 3_o 17_o 25_o 23_o 17_o 4_o 17_o 29_o 23_o 20_o 5_o 17_o 34_o 23_o 23_o 6_o 17_o 38_o 23_o 26_o 7_o 17_o 42_o 23_o 28_o 8_o 17_o 47_o 23_o 29_o 9_o 17_o 51_o 23_o 30_o 10_o 17_o 56_o 23_o 31_o 11_o 18_o 00_o 23_o 31½_n 12_o 18_o 05_o 23_o 31_o 13_o 18_o 09_o 23_o 30_o 14_o 18_o 14_o 23_o 29_o 15_o 18_o 19_o 23_o 27_o 16_o 18_o 24_o 23_o 25_o 17_o 18_o 28_o 23_o 22_o 18_o 18_o 33_o 23_o 19_o 19_o 18_o 37_o 23_o 15_o 20_o 18_o 41_o 23_o 11_o 21_o 18_o 45_o 23_o 07_o 22_o 18_o 49_o 23_o 02_o 23_o 18_o 54_o 22_o 56_o 24_o 18_o 58_o 22_o 50_o 25_o 19_o 03_o 22_o 43_o 26_o 19_o 07_o 22_o 36_o 27_o 19_o 11_o 22_o 29_o 28_o 19_o 16_o 22_o 21_o 29_o 19_o 20_o 22_o 13_o 30_o 19_o 25_o 22_o 04_o 31_o 19_o 30_o 21_o 55_o a_o rectify_v table_n for_o the_o sun_n declination_n  _fw-fr year_n year_n year_n  _fw-fr 1657_o 1661._o 1665_o 1669_o 1673_o 1659._o 1663._o 1667_o 1671_o 1675_o 1660_o 1664_o 1668_o 1672_o 1676_o month_n min._n min._n min._n january_n 3_o s_o 2_o a_o 5_o a_o 4_o s_z 3_o a_o 7_o a_o 5_o s_z 4_o a_o 9_o a_o february_n 5_o s_z 5_o a_o 10_o a_o 5_o s_z 5_o a_o 11_o a_o 6_o s_z 5_o a_o 11_o a_o march_z 6_o s_z 5_o a_o 13_o s_z 5_o a_o 5_o s_z 12_o a_o 5_o a_o 5_o s_z 12_o a_o april_n 5_o a_o 5_o s_z 11_o a_o 5_o a_o 5_o s_z 10_o a_o 4_o a_o 4_o s_z 9_o a_o may_v 4_o a_o 4_o s_z 8_o a_o 3_o a_o 3_o s_z 6_o a_o 2_o a_o 2_o s_z 4_o a_o june_n 1_o a_o 1_o s_o 2_o a_o 0_o s_o 0_o a_o 0_o s_o 1_o s_z 1_o a_o 3_o s_o july_n 2_o s_z 2_o a_o 5_o s_z 3_o s_z 3_o a_o 7_o s_z 4_o s_z 4_o a_o 9_o s_o august_n 5_o s_z 5_o a_o 10_o s_z 5_o s_z 5_o a_o 11_o s_z 6_o s_z 5_o a_o 12_o s_o september_n 6_o s_z 5_o a_o 13_o s_z 6_o a_o 5_o s_z 13_o a_o 6_o a_o 5_o s_z 12_o a_o october_n 6_o a_o 5_o s_z 12_o a_o 5_o a_o 5_o s_z 11_o a_o 4_o a_o 5_o s_z 9_o a_o novem._n 3_o a_o 4_o s_z 7_o a_o 2_o a_o 3_o s_z 5_o a_o 1_o a_o 2_o s_z 3_o a_o decemb._n 0_o a_o 1_o s_z 1_o a_o 1_o s_o 0_o a_o 1_o s_z 2_o s_z 1_o a_o 3_o s_z the_o use_n of_o the_o rectify_v table_n note_v that_o the_o minute_n under_o the_o respective_a year_n be_v to_o be_v add_v or_o substract_v to_o or_o from_o the_o sun_n declination_n in_o the_o former_a table_n as_o be_v note_v with_o the_o letter_n a_o or_o s_o and_o also_o note_v that_o the_o first_o figure_n in_o each_o month_n stand_v for_o the_o first_o 10_o day_n of_o the_o month_n and_o the_o second_o for_o the_o second_o 10_o day_n &_o the_o three_o for_o the_o last_o 10_o day_n except_o in_o march_n or_o september_n which_o in_o march_n will_v be_v the_o first_o 9_o day_n only_o and_o in_o september_n the_o first_o 12_o day_n example_n i_o will_v know_v the_o sun_n declination_n the_o 15_o day_n of_o may_n 1668._o now_o because_o this_o day_n of_o the_o month_n fall_v in_o the_o second_o 10_o day_n i_o look_v in_o the_o table_n under_o the_o year_n 1663._o and_o right_a against_o may_v you_o shall_v find_v that_o in_o the_o second_o place_n of_o the_o month_n stand_v 6_o a_o which_o show_v i_o that_o i_o must_v add_v 6_o minute_n to_o the_o sun_n declination_n in_o the_o former_a table_n 21_o degree_n 5_o min._n that_o stand_v against_o the_o 15_o day_n of_o may_n and_o then_o i_o find_v that_o the_o sun_n will_v have_v 21_o deg_n 11_o min._n of_o north_n declination_n and_o so_o for_o the_o rest_n which_o will_v never_o differ_v above_o two_o minute_n from_o the_o truth_n but_o seldom_o so_o much_o and_o for_o the_o most_o part_n true_a note_v that_o the_o former_a table_n of_o the_o sun_n declination_n be_v fit_v exact_o for_o the_o year_n 1666._o by_o the_o rule_n mr._n wright_n give_v in_o his_o correction_n of_o error_n and_o from_o his_o table_n and_o may_v indifferent_o serve_v for_o the_o year_n 1658_o 1662._o 1670_o 1674_o without_o any_o sensible_a error_n and_o the_o table_n of_o right_a ascension_n will_v not_o vary_v a_o minute_n of_o time_n in_o many_o year_n finis_fw-la error_n in_o the_o horizontal_n quadrant_n page_n 5_o line_n 6_o in_o a_o italian_a letter_n shall_v not_o have_v be_v distinct_a nor_o in_o another_o letter_n from_o the_o former_a line_n page_n 5._o line_n 9_o for_o quarter_n read_v half_a p._n 5._o l._n 13._o r._n of_o a_o quadrant_a p._n 11._o l._n 7._o r._n 63_o d._n 26′_n p._n 19_o l._n 7._o r._n the_o same_o day_n to_o p._n 23._o l._n 17._o r._n and_o end_n at_o 32′_n past_o 9_o p._n 27._o l._n 7._o for_o n_o r_o r._n n_o z._n p._n 28._o l._n 4._o r._n in_o the_o parallel_n p._n 30._o l._n 9_o &_o l._n 10._o r._n 23_o d._n 31′_n p._n 38._o l._n 4._o r._n be_v to_o the_o sine_fw-la p._n 50._o l._n 5._o r._n whereof_o the_o diameter_n a_o appendix_n touch_v reflective_a dial_v by_o john_n lyon_n professor_n of_o this_o or_o any_o other_o part_n of_o the_o mathematics_n near_o somerset_n house_n in_o the_o strand_n london_n print_v anno_fw-la domini_fw-la 1658._o direct_v dial_v by_o a_o hole_n or_o nodus_fw-la to_o draw_v a_o dial_n under_o any_o window_n that_o the_o sun_n shine_v upon_o by_o help_n of_o a_o thread_n fasten_v in_o any_o point_n of_o the_o direct_a axis_n find_v in_o the_o ceiling_n and_o a_o hole_n in_o any_o pane_n of_o glass_n or_o a_o knob_v or_o nodus_fw-la upon_o any_o side_n of_o the_o window_n or_o window-post_n constructio_fw-la first_o draw_v on_o pasteboard_n or_o other_o material_a a_o horizontal_n dial_n for_o the_o latitude_n propose_v then_o by_o help_n of_o the_o sun_n azimuth_n which_o may_v be_v find_v by_o help_n of_o a_o general_a quadrant_n at_o any_o time_n or_o by_o know_v the_o true_a hour_n of_o the_o day_n with_o the_o help_n of_o the_o say_v horizontal_n dial_n and_o draw_v that_o true_a meridian_n from_o the_o hole_n or_o nodus_fw-la propose_v both_o above_o on_o the_o ceiling_n and_o below_o on_o the_o wall_n and_o floor_n of_o the_o room_n so_o that_o if_o a_o right_a line_n be_v extend_v from_o the_o say_a hole_n or_o nodus_fw-la by_o any_o point_n in_o any_o of_o those_o line_n it_o will_v be_v in_o the_o meridian_n circle_n of_o the_o world_n to_o find_v a_o point_n in_o the_o direct_a axis_n of_o the_o world_n which_o will_v ever_o fall_v to_o be_v in_o the_o say_a meridian_n in_o which_o point_n the_o end_n of_o a_o thread_n be_v to_o be_v fasten_v first_o fix_v the_o end_n of_o a_o thread_n or_o small_a silk_n in_o the_o centre_n of_o the_o hole_n or_o nodus_fw-la and_o move_v the_o other_o end_n thereof_o up_o or_o down_o in_o the_o say_a meridian_n former_o draw_v on_o the_o ceiling_n or_o wall_n until_o by_o apply_v the_o side_n of_o a_o quadrant_n to_o that_o thread_n it_o be_v find_v to_o be_v elevate_v equal_a to_o the_o latitude_n of_o the_o place_n so_o be_v that_o thread_n direct_o situate_v parallel_n to_o the_o axis_n of_o the_o world_n and_o the_o point_n where_o the_o end_n of_o that_o thread_n touch_v the_o meridian_n either_o on_o the_o ceiling_n or_o wall_n be_v that_o point_n in_o the_o direct_a axis_n seek_v for_o wherein_o fix_v one_o end_n of_o a_o thread_n which_o thread_n will_v be_v of_o present_a use_n in_o project_v of_o hour-point_n in_o any_o place_n propose_v then_o to_o find_v the_o hour-point_n
in_o the_o use_n of_o his_o scale_n publish_v since_o his_o death_n entitle_v posthuma_n fosteri_n that_o the_o sun_n place_n be_v give_v which_o for_o instrumental_a use_n may_v be_v obtain_v by_o know_v on_o what_o day_n of_o each_o month_n the_o sun_n enter_v into_o any_o sign_n and_o allow_v a_o degree_n for_o every_o day_n motion_n come_v by_o it_o prope_fw-la verum_fw-la and_o be_v seek_v in_o the_o annex_v zodiaque_fw-la which_o be_v no_o other_o than_o two_o line_n of_o 90d._o sines_n each_o make_v equal_a to_o the_o sine_fw-la of_o 23_o 31′_n the_o sun_n great_a declination_n just_a against_o it_o stand_v the_o sun_n declination_n if_o account_v in_o the_o verse_v sine_fw-la from_o 90_o each_o way_n but_o this_o for_o want_v of_o room_n and_o because_o the_o declination_n be_v more_o easy_o give_v by_o help_n of_o the_o day_n of_o the_o month_n i_o think_v fit_a to_o omit_v the_o rather_o because_o it_o may_v also_o be_v take_v from_o the_o table_n of_o declination_n but_o from_o hence_o i_o first_o observe_v that_o if_o the_o two_o first_o term_n of_o a_o proportion_n be_v fix_v if_o two_o natural_a line_n proper_a to_o those_o term_n be_v fit_v of_o a_o equal_a length_n and_o posit_v together_o if_o any_o three_o term_n be_v give_v to_o find_v a_o four_o in_o the_o same_o proportion_n it_o will_v be_v give_v by_o inspection_n as_o stand_v against_o the_o three_o but_o if_o the_o line_n stand_v asunder_o or_o a_o difference_n be_v the_o three_o term_n application_n must_v be_v make_v from_o one_o line_n to_o the_o other_o with_o compass_n as_o in_o the_o same_o scale_n there_o be_v also_o fit_v a_o line_n of_o 60_o part_n equal_a in_o length_n to_o the_o radius_fw-la of_o a_o small_a sine_fw-la serve_v to_o give_v the_o mile_n in_o every_o several_a latitude_n answerable_a to_o one_o degree_n of_o longitude_n three_o side_n give_v to_o find_v a_o angle_n the_o proportion_n as_o the_o difference_n of_o the_o verse_v sin_n of_o the_o sum_n and_o difference_n of_o any_o two_o side_n include_v a_o angle_n be_v to_o the_o diameter_n so_o be_v the_o difference_n of_o the_o verse_v sin_n of_o the_o three_o side_n and_o of_o the_o ark_n of_o difference_n between_o the_o two_o include_v side_n to_o the_o verse_v sine_fw-la of_o the_o angle_n seek_v and_o so_o be_v the_o difference_n of_o the_o verse_v sin_n of_o the_o three_o side_n and_o of_o the_o sum_n of_o the_o two_o include_v side_n to_o the_o verse_v sine_fw-la of_o the_o seek_v angle_n compliment_n to_o a_o semicircle_n corollary_n and_o see_v there_o be_v such_o proportion_n between_o the_o latter_a term_n of_o the_o foregoing_a proportion_n as_o between_o the_o former_a omit_v the_o two_o first_o term_n it_o also_o hold_v as_o the_o difference_n of_o the_o verse_v sin_n of_o the_o three_o side_n and_o of_o the_o ark_n of_o difference_n between_o the_o two_o include_v side_n be_v to_o the_o verse_v sine_fw-la of_o the_o angle_n seek_v so_o be_v the_o difference_n of_o the_o verse_v sin_n of_o the_o three_o side_n and_o of_o the_o sum_n of_o the_o two_o include_v side_n to_o the_o verse_v sine_fw-la of_o the_o seek_v angle_n compliment_n to_o 180d._o and_o this_o be_v the_o proportion_n m._n foster_n make_v use_v of_o in_o his_o scale_n page_n 25_o and_o 27._o to_o find_v the_o hour_n and_o azimuth_n by_o protraction_n as_o also_o in_o page_n 68_o in_o dyall_v when_o three_o side_n be_v give_v to_o find_v a_o angle_n by_o constitute_v two_o right_a angle_a equi-angled_n plain_a triangle_n the_o leg_n whereof_o consist_v of_o the_o 4_o term_n of_o this_o proportion_n but_o in_o that_o protraction_n work_n the_o first_o and_o three_o term_n of_o the_o proportion_n be_v give_v together_o with_o the_o sum_n of_o the_o second_o and_o four_o term_n to_o find_v out_o the_o say_a term_n respective_o the_o proportion_n for_o the_o hour_n as_o the_o difference_n of_o the_o verse_v sin_n of_o the_o sum_n and_o difference_n of_o the_o compliment_n of_o the_o latitude_n and_o of_o the_o sun_n or_o star_n distance_n from_o the_o elevate_v pole_n be_v to_o the_o diameter_n or_o verse_v sine_fw-la of_o 180_o so_o be_v the_o difference_n of_o the_o verse_v sin_n of_o the_o compliment_n of_o the_o altitude_n and_o of_o the_o ark_n of_o difference_n between_o the_o compliment_n of_o the_o latitude_n and_o of_o the_o polar_a distance_n to_o the_o verse_v sine_fw-la of_o the_o hour_n from_o noon_n and_o if_o the_o latter_a clause_n of_o the_o three_o term_n be_v the_o sum_n of_o the_o co-latitude_n and_o polar_a distance_n the_o proportion_n will_v find_v the_o verse_v sine_fw-la of_o the_o hour_n from_o midnight_n and_o if_o the_o sum_n of_o any_o two_o ark_n exceed_v a_o semicircle_n take_v its_o compliment_n to_o 360_o for_o the_o same_o verse_v sine_fw-la be_v common_a to_o both_o when_o the_o declination_n be_v towards_o the_o elevate_v pole_n the_o polar_a distance_n be_v the_o compliment_n of_o it_o to_o 90_o and_o when_o towards_o the_o depress_v pole_n the_o polar_a distance_n be_v equal_a to_o the_o sum_n of_o 90_o and_o of_o the_o declination_n add_v together_o example_n let_v the_o sun_n declination_n be_v 15_o 46′_n north_n compliment_n 74_o 14′_n the_o compliment_n of_o the_o latitude_n 38_o 28_o sum_n 112_o 42_o difference_n 35_o 46_o and_o let_v the_o altitude_n be_v 20_o compliment_n 70_o 00_o operation_n take_v the_o distance_n between_o the_o verse_v sin_n of_o 35_o 46′_n and_o of_o 112_o 42′_n and_o enter_v one_o foot_n of_o that_o extent_n at_o the_o end_n of_o the_o verse_v scale_n at_o 180_o lay_v the_o thread_n to_o the_o other_o foot_n according_a to_o near_a distance_n then_o take_v the_o distance_n between_o the_o verse_v sin_n of_o 35_o 46′_n and_o 70_o and_o enter_v that_o extent_n parallelly_n between_o the_o thread_n and_o the_o scale_n and_o the_o other_o foot_n will_v rest_v upon_o the_o verse_v sine_fw-la of_o 77_o 32′_n the_o quantity_n of_o the_o hour_n from_o the_o meridian_n be_v either_o 50′_n past_o 6_o in_o the_o morning_n or_o 10′_n past_o 5_o in_o the_o afternoon_n the_o reader_n may_v observe_v in_o this_o work_n that_o the_o thread_n lie_v over_o a_o star_n by_o enter_v the_o first_o extent_n as_o also_o that_o there_o be_v the_o same_o star_n graduate_v at_o 35_o 46′_n of_o the_o verse_v sine_fw-la and_o this_o no_o other_o than_o the_o bull_n eye_n having_z 15_o 46′_n of_o north_n declination_n for_o which_o star_n in_o this_o latitude_n there_o needs_o be_v no_o sum_v or_o difference_v of_o ark_n in_o regard_n the_o star_n declination_n vary_v not_o so_o to_o find_v that_o star_n hour_n at_o any_o time_n have_v any_o other_o altitude_n only_o lay_v the_o thread_n over_o that_o star_n in_o the_o quadrant_n and_o take_v the_o distance_n between_o the_o star_n in_o the_o scale_n and_o the_o compliment_n of_o its_o altitude_n and_o enter_v that_o extent_n parallelly_n between_o the_o thread_n and_o the_o scale_n and_o it_o find_v the_o star_n hour_n from_o the_o meridian_n thus_o when_o that_o star_n have_v 39_o of_o altitude_n its_o hour_n from_o the_o meridian_n will_v be_v find_v to_o be_v 45_o 54′_n in_o time_n 3_o hour_n 3½′_n which_o to_o get_v the_o true_a time_n of_o the_o night_n must_v be_v turn_v into_o the_o sun_n hour_n by_o help_n of_o the_o nocturnal_a on_o the_o backside_n but_o admit_v the_o sun_n declination_n and_o altitude_n to_o have_v be_v the_o same_o with_o the_o star_n the_o true_a time_n of_o the_o day_n thus_o find_v will_v have_v be_v 56½′_n past_o 9_o in_o the_o morning_n or_o 3½′_n past_o 3_o in_o the_o afternoon_n and_o thus_o the_o reader_n may_v have_v what_o star_n he_o please_v put_v on_o of_o any_o declination_n and_o for_o any_o latitude_n and_o they_o may_v be_v put_v on_o at_o such_o a_o distance_n from_o the_o centre_n that_o the_o distance_n from_o it_o to_o the_o star_n may_v be_v a_o chord_n to_o be_v measure_v in_o the_o limb_n to_o give_v the_o star_n ascensional_a difference_n or_o the_o like_a conclusion_n and_o thus_o the_o thread_n be_v once_o lay_v and_o the_o former_a point_n find_v for_o one_o example_n to_o the_o sun_n declination_n neither_o of_o they_o vary_v that_o day_n which_o be_v a_o ready_a general_a way_n for_o find_v the_o time_n of_o the_o day_n for_o the_o sun_n to_o find_v the_o semidiurnal_a and_o seminocturnal_a arks._n suppose_v the_o sun_n to_o have_v no_o altitude_n and_o the_o compliment_n of_o it_o to_o be_v 90_o and_o then_o work_v by_o the_o former_a precept_n and_o you_o will_v find_v the_o semidiurnal_a ark_n from_o the_o begin_n of_o the_o line_n and_o the_o seminocturnal_a ark_n from_o the_o end_n of_o the_o line_n which_o double_v and_o turn_v into_o time_n show_v the_o length_n of_o the_o day_n and_o
to_o graduate_v the_o same_o way_n the_o ark_n of_o 30_o degr_n 30_o degr_n co-latitude_n 38_o 28_o sum_n 68_o 28_o difference_n 8_o 28_o count_n 68_o deg_n 28′_n from_o o_o towards_o d_o and_o from_o the_o point_n a_o draw_v a_o line_n to_o it_o again_o in_o the_o say_v upper_a line_n count_v 8_o deg_n 28′_n upward_o from_o o_o towards_o c_o &_o from_o the_o point_n b_o lay_v a_o ruler_n over_o it_o &_o where_o it_o intersect_v the_o line_n last_o draw_v be_v the_o point_n where_o 30_o d._n of_o the_o curve_v be_v to_o be_v graduate_v to_o graduate_v the_o upper_a part_n of_o the_o curve_v require_v no_o other_o direction_n the_o same_o arke_n serve_v if_o the_o account_n be_v but_o make_v the_o other_o way_n and_o in_o account_v the_o sum_n the_o ruler_n lay_v over_o b._n in_o the_o low_a line_n instead_o of_o a_o and_o in_o count_v the_o difference_n over_o a_o instead_o of_o b_o neither_o be_v there_o any_o scheme_n give_v hereof_o the_o practitioner_n need_v only_o let_v the_o upper_a line_n be_v the_o line_n of_o altitude_n on_o the_o left_a edge_n of_o the_o quadrant_a continue_v out_o to_o 90_o deg_n at_o each_o end_n and_o to_o that_o end_n next_o the_o centre_n set_v c_o and_o to_o the_o other_o end_n d._n so_o likewise_o let_v that_o end_n of_o the_o verse_v scale_n next_o the_o right_a edge_n of_o the_o quadrant_a be_v continue_v to_o 180_o deg_n whereto_o set_v a_o and_o at_o the_o other_o end_n b_o and_o then_o if_o these_o direction_n be_v observe_v and_o the_o same_o distance_n and_o position_n of_o the_o line_n retain_v it_o will_v not_o be_v difficult_a to_o constitute_v a_o curve_v in_o all_o respect_n agree_v with_o that_o on_o the_o fore-side_n of_o the_o quadrant_a of_o the_o hour_n and_o azimuth_n scale_v on_o the_o right_a edge_n of_o the_o quadrant_n this_o scale_n stand_v outwardmost_a on_o the_o right_a edge_n of_o the_o quadrant_a and_o consist_v of_o two_o line_n the_o one_o a_o line_n of_o 90_o sin_n make_v equal_a to_o the_o cousin_n of_o the_o latitude_n namely_o to_o the_o sine_fw-la of_o 38_o deg_n 28′_n and_o continue_v the_o other_o way_n to_o 40_o deg_n like_o a_o verse_v sine_fw-la the_o annex_v line_n be_v the_o other_o part_n of_o this_o scale_n be_v a_o line_n of_o natural_a tangent_n begin_v where_o the_o former_a sine_fw-la begin_v the_o tangent_fw-la of_o 38_o deg_n 28′_n be_v make_v equal_a to_o the_o sine_fw-la of_o 90_o deg_n this_o tangent_fw-la be_v continue_v each_o way_n with_o the_o sine_fw-la towards_o the_o limb_n of_o the_o quadrant_a it_o shall_v have_v be_v continue_v to_o 62_o deg_n but_o that_o can_v not_o be_v without_o excursion_n wherefore_o it_o be_v break_v off_o at_o 40_o degree_n and_o the_o residue_n of_o it_o graduate_v below_o and_o next_o under_o the_o verse_v sine_z belonging_z to_z the_o curve_v that_o run_v cross_v the_o quadrant_a be_v continue_v but_o to_o half_a the_o former_a radius_fw-la of_o the_o almanac_n next_o below_o the_o former_a line_n stand_v the_o almanac_n in_o a_o regular_a ob-long_a with_o month_n name_n grave_v on_o each_o side_n of_o it_o below_o the_o almanac_n stand_v the_o quadrate_n and_o shadow_n in_o two_o arke_n of_o circle_n terminate_n against_o 45_o deg_n of_o the_o limb_n below_o they_o a_o line_n of_o 90_o sin_n in_o a_o circle_n equal_a to_o 51_o deg_n 32′_n of_o the_o limb_n break_v off_o below_o the_o straight_a line_n and_o the_o rest_n continue_v above_o it_o below_o these_o be_v put_v on_o in_o circle_n a_o line_n of_o tangent_n to_o 60_o degree_n also_o a_o line_n of_o secant_v to_o 60_o deg_n with_o a_o line_n of_o lesser_a sin_n end_v against_o 30_o deg_n of_o the_o limb_n count_v from_o the_o right_a edge_n where_o the_o graduation_n of_o the_o secant_fw-la begin_v last_o of_o all_o the_o equal_a limb_n prick_v with_o the_o prick_v of_o the_o quadrat_fw-la abut_a upon_o the_o line_n of_o sin_n and_o within_o the_o projection_n stand_v a_o portion_n of_o a_o small_a sine_fw-la number_v with_o its_o compliment_n begin_v against_o 38_o deg_n 28′_n of_o the_o line_n of_o sin_n this_o scale_n be_v call_v the_o scale_n of_o entrance_n upon_o the_o projection_n be_v place_v divers_a star_n how_o they_o be_v inscribe_v shall_v be_v afterward_o show_v the_o description_n of_o the_o backside_n put_v on_o in_o quarter_n or_o quadrant_n of_o circle_n 1_o the_o equal_a limb_n divide_v into_o degree_n as_o also_o into_o hour_n and_o half_n and_o the_o quarter_n prick_v to_o serve_v for_o a_o nocturnal_a 2_o a_o line_n of_o equal_a part_n 3_o a_o line_n of_o superficies_n or_o square_n 4_o a_o line_n of_o solid_n or_o cube_n 5_o a_o tangent_fw-la of_o 45_o degree_n double_v divide_v to_o serve_v for_o a_o dyalling_n tangent_fw-la and_o a_o semitangent_fw-la for_o projection_n 6_o the_o line_n sol_n alias_o a_o line_n of_o proportional_a sin_n 7_o a_o tangent_fw-la of_o 51_o degree_n 32′_n through_o the_o whole_a limb_n 8_o a_o line_n of_o declination_n for_o the_o sun_n to_o 23_o deg_n 31′_n four_o quadrant_n with_o the_o day_n of_o the_o month_n 9_o 10_o 11_o 12_o 13_o the_o sun_n true_a place_n with_o the_o character_n of_o the_o 12_o sign_n 14_o the_o line_n of_o segment_n with_o a_o chord_n before_o they_o begin_v 15_o the_o line_n of_o metal_n and_o equated_a body_n 16_o the_o line_n of_o quadrature_n 17_o the_o line_n of_o inscribe_v body_n 18_o a_o line_n of_o 12_o hour_n of_o ascension_n with_o star_n name_n declination_n and_o ascensional_a difference_n above_o all_o these_o a_o table_n to_o know_v the_o epact_n and_o what_o day_n of_o the_o week_n the_o first_o day_n of_o march_n happen_v upon_o by_o inspection_n continue_v to_o the_o year_n 1700._o all_o these_o between_o the_o limb_n and_o the_o centre_n on_o the_o right_a edge_n a_o line_n of_o equal_a part_n from_o the_o centre_n decimal_o subdivide_v be_v a_o line_n of_o 10_o inch_n also_o a_o dyalling_n tangent_fw-la or_o scale_n of_o 6_o hour_n the_o whole_a length_n of_o the_o quadrant_a not_o issue_v from_o the_o centre_n on_o the_o left_a edge_n a_o tangent_fw-la of_o 63_o deg_n 26′_n from_o the_o centre_n also_o a_o scale_n of_o latitude_n fit_v to_o the_o former_a scale_n of_o hour_n not_o issue_v from_o the_o centre_n and_o below_o it_o a_o small_a chord_n the_o use_v of_o the_o quadrant_n lordsday_n 1657_o 63_o 68_o 74_o ☉_o 85_o 91_o 96_o anno_fw-la 25_o 1_o 26_o 3_o  _fw-fr 4_o 11_o 6_o epact_n monday_n 58_o ☽_o 69_o 75_o 80_o 86_o ☽_o 97_o anno_o 6_o  _fw-fr 7_o 14_o 9_o 15_o  _fw-fr 17_o epact_a tuesday_n 59_o 64_o 70_o ♂_o 81_o 87_o 92_o 98_o anno_fw-la 17_o 12_o 18_o  _fw-fr 20_o 26_o 22_o 28_o epact_n wenesday_n ☿_o 65_o 71_o 76_o 82_o ☿_o 93_o 99_o anno_o  _fw-fr 23_o 29_o 25_o 1_o  _fw-fr 3_o 9_o epact_a thursday_n 60_o 66_o ♃_o 77_o 83_o 88_o 94_o ♃_o anno_o 28_o 4_o  _fw-fr 6_o 12_o 7_o 14_o  _fw-fr epact_n friday_n 61_o 67_o 72_o 78_o ♀_o 89_o 95_o 700_o anno_fw-la 9_o 15_o 11_o 17_o  _fw-fr 18_o 25_o 20_o epact_n saturday_n 62_o ♄_o 73_o 79_o 84_o 90_o ♄_o 701_o anno_o 20_o  _fw-fr 22_o 28_o 23_o 29_o  _fw-fr 1_o epact_a day_n the_o same_o as_o the_o first_o of_o march_n march_n 1_o 8_o 15_o 22_o 29_o november_n august_n 2_o 9_o 16_o 23_o 30_o august_n may_n 3_o 10_o 17_o 24_o 31_o jnuary_n october_n 4_o 11_o 18_o 25_o 0_o october_n april_n 5_o 12_o 19_o 26_o 00_o july_n septem_fw-la 6_o 13_o 20_o 27_o 00_o december_n june_n 7_o 14_o 21_o 28_o 00_o february_n perpetual_a almanac_n of_o the_o use_v of_o the_o projection_n before_o this_o projection_n can_v be_v use_v the_o sun_n declination_n be_v require_v &_o by_o consequence_n the_o day_n of_o the_o month_n for_o the_o ready_a find_v thereof_o there_o be_v repeat_v the_o same_o table_n that_o stand_v on_o the_o backside_n of_o this_o quadrant_a in_o each_o rule_a space_n the_o uppermost_a figure_n signify_v the_o year_n of_o the_o lord_n and_o the_o column_n it_o be_v place_v in_o show_v upon_o what_o day_n of_o the_o week_n the_o first_o day_n of_o march_n happen_v upon_o in_o that_o year_n and_o the_o undermost_a figure_n in_o the_o say_v rule_v space_n show_v what_o be_v the_o epact_n for_o that_o year_n and_o this_o continue_a to_o the_o year_n 1701_o inclusive_a example_n look_v for_o the_o year_n 1660_o i_o find_v the_o figure_n 60_o stand_v in_o thursday_n column_n whence_o i_o may_v conclude_v that_o the_o first_o day_n of_o march_n that_o year_n will_v be_v thursday_n and_o under_o it_o stand_v 28_o for_o the_o epact_n that_o year_n of_o the_o almanac_n have_v as_o before_o find_v what_o day_n of_o the_o week_n the_o first_o day_n of_o march_n happen_v upon_o