Selected quad for the lemma: end_n

Word A	Word B	Word C	Word D	Occurrence	Frequency Band	MI	MI Band	Prominent
end_n	north_n	side_n	south_n	2,400	5	9.1749	5	true

Text snippets containing the quad

ID	Title	Author	Corrected Date of Publication (TCP Date of Publication)	STC	Words	Pages
A64223	The semicircle on a sector in two books. Containing the description of a general and portable instrument; whereby most problems (reducible to instrumental practice) in astronomy, trigonometry, arithmetick, geometry, geography, topography, navigation, dyalling, &c. are speedily and exactly resolved. By J. T.	Taylor, John, 1666 or 7-1687.	1667 (1667)	Wing T533B; ESTC R221720	52,688	153

be_v 13_o deg_n 30_o min._n probl._n 8._o the_o declination_n give_v to_o find_v the_o beginning_n and_o end_n of_o twilight_n or_o daybreak_n lay_v the_o thread_n to_o the_o declination_n count_v the_o contrary_a way_n as_o in_o the_o last_o problem_n and_o take_v from_o your_o scale_n of_o altitude_n 18_o deg_n for_o twilight_n and_o 13_o deg_n for_o daybreak_n or_o clear_a light_n with_o this_o run_v one_o point_n of_o the_o compass_n along_o the_o line_n of_o hour_n on_o that_o side_n next_o the_o end_n until_o the_o other_o will_v just_o touch_v the_o thread_n and_o then_o the_o former_a point_n give_v the_o respective_a time_n require_v ex._n gr_n at_o 7_o deg_n north_n declination_n day_n break_v 8_o minute_n before_o 4_o but_o twilight_n be_v 3_o hour_n 12_o minute_n in_o the_o morning_n or_o 8_o hour_n 52_o minute_n afternoon_n probl._n 9_o the_o declination_n and_o altitude_n of_o the_o sun_n or_o any_o star_n give_v to_o find_v their_o azimuth_n in_o northern_a declination_n lay_v the_o thread_n to_o the_o altitude_n number_v on_o the_o limb_n of_o the_o movable_a piece_n from_o 60_o 0_o towards_o the_o end_n and_o when_o occasion_n require_v continue_v your_o number_n forward_o upon_o the_o loose_a piece_n and_o take_v the_o declination_n from_o your_o line_n of_o altitude_n with_o this_o distance_n run_v one_o point_n of_o your_o compass_n along_o the_o line_n of_o azimuth_n on_o that_o side_n the_o thread_n next_o the_o head_n until_o the_o other_o just_a touch_n the_o thread_n than_o the_o former_a point_n give_v the_o azimuth_n from_o south_n ex._n gr_n at_o 10_o deg_n declination_n north_n and_o 30_o deg_n altitude_n the_o azimuth_n from_o south_n be_v 64_o deg_n 40_o min._n probl._n 10._o the_o sun_n altitude_n give_v to_o find_v his_o azimuth_n in_o the_o aequator_fw-la lay_v the_o thread_n to_o the_o altitude_n in_o the_o limb_n count_v from_o 60_o 0_o on_o the_o loose_a piece_n towards_o the_o end_n and_o on_o the_o line_n of_o azimuth_n it_o cut_v the_o azimuth_n from_o south_n ex._n gr_n at_o 25_o deg_n altitude_n the_o azimuth_n be_v 53_o deg_n at_o 30_o deg_n altitude_n the_o azimuth_n be_v 41_o deg_n 30_o min._n fere_n probl._n 11._o the_o declination_n and_o altitude_n of_o the_o sun_n or_o any_o star_n give_v to_o find_v the_o azimuth_n in_o southern_a declination_n lay_v the_o thread_n to_o the_o altitude_n number_v on_o the_o limb_n from_o 60_o 0_o on_o the_o movable_a piece_n towards_o the_o end_n and_o take_v the_o declination_n from_o the_o scale_n of_o altitude_n then_o carry_v one_o point_n of_o your_o compass_n on_o the_o line_n of_o azimuth_n on_o that_o side_n the_o thread_n next_o the_o end_n until_o the_o other_o just_a touch_n the_o thread_n which_o do_v the_o former_a point_n give_v the_o azimuth_n from_o south_n ex._n gr_n at_o 15_o deg_n altitude_n and_o 6_o deg_n south_n declination_n the_o azimuth_n be_v 58_o deg_n 30_o min._n probl._n 12._o the_o declination_n give_v to_o find_v the_o sun_n altitude_n at_o east_n or_o west_n in_o north_n declination_n and_o by_o consequent_a his_o depression_n in_o south_n declination_n take_v the_o declination_n give_v from_o the_o scale_n of_o altitude_n and_o set_v one_o point_n of_o your_o compass_n in_o 90_o on_o the_o line_n of_o azimuth_n lay_v the_o thread_n to_o the_o other_o point_n on_o that_o side_n 90_o next_o the_o head_n on_o the_o limb_n it_o cut_v the_o altitude_n count_v from_o 60_o 0_o on_o the_o movable_a piece_n ex._n gr_n at_o 10_o deg_n declination_n the_o altitude_n be_v 12_o deg_n 40_o min._n probl._n 13._o the_o declination_n and_o azimuth_n give_v to_o find_v the_o altitude_n of_o the_o sun_n or_o any_o star_n take_v the_o declination_n from_o the_o scale_n of_o altitude_n set_v one_o point_n of_o your_o compass_n in_o the_o azimuth_n give_v then_o in_o north_n declinanation_n turn_v the_o other_o point_n towards_o the_o head_n in_o south_n towards_o the_o end_n and_o thereto_o lay_v the_o thread_n on_o the_o limb_n you_o have_v the_o altitude_n number_v from_o 60_o 0_o on_o the_o movable_a piece_n towards_o the_o end_n ex._n gr_n at_o 7_o deg_n north_n declination_n and_o 48_o deg_n azimuth_n from_o south_n the_o altitude_n be_v 35_o deg_n but_o at_o 7_o deg_n declination_n south_n and_o 50_o deg_n azimuth_n the_o altitude_n be_v only_o 18_o deg_n 30_o min._n probl._n 14._o the_o altitude_n declination_n and_o right_a ascension_n of_o any_o star_n with_o the_o right_a ascension_n of_o the_o sun_n give_v to_o find_v the_o hour_n of_o the_o night_n take_v the_o star_n altitude_n from_o the_o scale_n of_o altitude_n and_o lay_v the_o thread_n to_o his_o declination_n in_o the_o limb_n find_v his_o hour_n from_o the_o last_o meridian_n he_o be_v upon_o as_o you_o do_v for_o the_o sun_n by_o probl._n 5._o if_o the_o star_n be_v past_o the_o south_n this_o be_v a_o afternoon_n hour_n if_o not_o come_v to_o the_o south_n a_o morning_n hour_n which_o keep_v then_o set_v one_o point_n of_o your_o compass_n in_o the_o sun_n right_a ascension_n number_v upon_o the_o line_n twice_o 12_o or_o 24_o next_o the_o outward_a ledge_n on_o the_o fix_a piece_n extend_v the_o other_o point_n to_o the_o right_a ascension_n of_o the_o star_n number_v upon_o the_o same_o line_n observe_v which_o way_n you_o turn_v the_o point_n of_o your_o compass_n viz._n towards_o the_o head_n or_o end_n with_o this_o distance_n set_v one_o point_n of_o your_o compass_n in_o the_o star_n hour_n before_o find_v count_v on_o the_o same_o line_n and_o turn_v the_o other_o point_n the_o same_o way_n as_o you_o do_v for_o the_o right_a ascension_n it_o give_v the_o true_a hour_n of_o the_o night_n ex._n gr_n the_o 22_o of_o march_n i_o find_v the_o altitude_n of_o the_o lion_n heart_n 45_o deg_n his_o declination_n 13_o d._n 40_o min._n then_o by_o probl._n 5._o i_o find_v his_o hour_n from_o the_o last_o meridian_n 10_o hour_n 5_o min._n the_o right_a ascension_n of_o the_o sun_n be_v 46_o m._n of_o time_n or_o 11_o d._n 30_o m._n of_o the_o circle_n the_o right_a ascension_n of_o the_o lion_n heart_n be_v 9_o hour_n 51_o m._n fere_n of_o time_n or_o 147_o deg_n 43_o m._n of_o a_o circle_n then_o by_o a_o line_n of_o twice_o 12_o you_o may_v find_v the_o true_a hour_n of_o the_o night_n 7_o hour_n 13_o min._n probl._n 15._o the_o right_a ascension_n and_o declination_n of_o any_o star_n with_o the_o right_a ascension_n of_o the_o sun_n and_o time_n of_o night_n give_v to_o find_v the_o altitude_n of_o that_o star_n with_o his_o azimuth_n from_o south_n and_o by_o consequent_a to_o find_v the_o star_n although_o before_o you_o know_v it_o not_o this_o be_v no_o more_o than_o unravel_v the_o last_o problem_n 1_o therefore_o upon_o the_o line_n of_o twice_o 12_o or_o 24_o set_v one_o point_n of_o your_o compass_n in_o the_o right_a ascension_n of_o the_o star_n extend_v the_o other_o to_o the_o right_a ascension_n of_o the_o sun_n upon_o the_o same_o line_n that_o distance_n lay_v the_o same_o way_n upon_o the_o same_o line_n from_o the_o hour_n of_o the_o night_n give_v the_o star_n hour_n from_o the_o last_o meridian_n he_o be_v upon_o this_o find_v by_o probl._n 5._o find_v his_o altitude_n as_o you_o do_v for_o the_o sun_n last_o have_v now_o his_o declination_n and_o altitude_n by_o probl._n 8._o or_o 10._o according_a to_o his_o declination_n you_o will_v soon_o get_v his_o azimuth_n from_o south_n this_o need_v not_o a_o example_n by_o help_v of_o this_o problem_n the_o instrument_n may_v be_v so_o contrive_v as_o to_o be_v one_o of_o the_o best_a tutor_n for_o know_v of_o the_o star_n probl._n 16._o the_o altitude_n and_o azimuth_n of_o any_o star_n give_v to_o find_v his_o declination_n lay_v the_o thread_n to_o the_o altitude_n count_v on_o the_o limb_n from_o 60_o 0_o on_o the_o movable_a piece_n towards_o the_o end_n set_v one_o point_n of_o your_o compass_n in_o the_o azimuth_n take_v the_o near_a distance_n to_o the_o thread_n this_o apply_v to_o the_o scale_n of_o altitude_n give_v the_o declination_n if_o the_o azimuth_n give_v be_v on_o that_o side_n the_o thread_n towards_o the_o end_n the_o declination_n be_v south_n when_o on_o that_o side_n towards_o the_o head_n its_o north._n probl._n 17._o the_o altitude_n and_o declination_n of_o any_o star_n with_o the_o right_a ascension_n of_o the_o sun_n and_o hour_n of_o night_n give_v to_o find_v the_o star_n right_a ascension_n by_o probl._n 5._o or_o 14._o find_v the_o star_n hour_n from_o the_o meridian_n then_o on_o the_o line_n twice_o 12_o or_o 24_o set_v one_o point_n of_o your_o compass_n in_o the_o star_n hour_n thus_o find_v and_o extend_v the_o other_o to_o the_o hour_n of_o the_o night_n upon_o the_o same_o line_n

style_n height_n above_o the_o substile_a as_o the_o radius_fw-la be_v to_o the_o cousin_n of_o the_o latitude_n so_o be_v the_o cousin_n of_o declination_n to_o the_o sine_fw-la of_o the_o style_n height_n to_o find_v the_o substyles_n distance_n from_o the_o meridian_n as_o the_o radius_fw-la be_v to_o the_o sine_fw-la of_o declination_n so_o be_v the_o co-tangent_a of_o the_o latitude_n to_o the_o tangent_fw-la of_o the_o substyle_n from_o the_o meridian_n to_o find_v the_o angle_n of_o twelve_o and_o six_o as_o the_o co-tangent_a of_o the_o latitude_n be_v to_o the_o radius_fw-la so_o be_v the_o sine_fw-la of_o declination_n to_o the_o co-tangent_a of_o six_o from_o twelve_o to_o find_v the_o inclination_n of_o meridian_n as_o the_o sine_fw-la of_o the_o latitude_n be_v to_o the_o radius_fw-la so_o be_v the_o tangent_fw-la of_o declination_n to_o the_o tangent_fw-la of_o inclination_n of_o meridian_n 6._o all_o north_n decliner_n with_o centre_n have_v the_o angular_a point_n of_o the_o style_n downward_o and_o all_o south_n have_v it_o upward_o 7._o all_o north_n decliner_n without_o centre_n have_v the_o narrow_a end_n of_o the_o style_n downward_o all_o south_n have_v it_o upward_o 8._o in_o all_o decliner_n without_o centre_n take_v so_o much_o of_o the_o style_n as_o you_o think_v convenient_a but_o make_v point_n at_o its_o beginning_n and_o end_n upon_o the_o substyle_n of_o your_o paper_n draught_n and_o transmit_v those_o point_n to_o the_o substyle_n of_o your_o plain_n for_o direction_n in_o place_v your_o style_n thereon_o 9_o in_o all_o north_n decliner_n the_o meridian_n or_o inclination_n of_o meridian_n be_v the_o hour_n line_n of_o twelve_o at_o midnight_n in_o south_n decliner_n at_o noon_n or_o midday_n this_o may_v tell_v you_o the_o true_a name_n of_o the_o hour_n line_n 10._o in_o transmit_v these_o dial_n from_o your_o paper_n draught_n to_o your_o plain_n lay_v the_o horizontal_a of_o your_o paper_n draught_n upon_o the_o horizontal_a line_n of_o the_o plain_a and_o prick_v off_o the_o hour_n and_o substyle_n sect._n 5._o the_o affection_n of_o direct_a recline_a plain_n incline_v plain_n for_o south_n recliner_n and_o north_n incliner_n 1._o the_o difference_n betwixt_o your_o co-latitude_n and_o the_o reclination_n inclination_n be_v the_o elevation_n or_o height_n of_o the_o style_n 2._o when_o the_o reclination_n inclination_n exceed_v your_o co-latitude_n the_o contrary_a pole_n be_v elevate_v so_o much_o as_o the_o excess_n ex._n gr_n a_o north_n recliner_n or_o south_n incliner_n 50._o d._n in_o lat_fw-la 52._o 30._o min._n the_o excess_n of_o the_o reclination_n inclination_n to_o your_o co-latitude_n be_v 12._o d._n 30._o min._n and_o so_o much_o the_o north_n be_v elevate_v on_o the_o recliner_n and_o the_o south_n pole_n on_o the_o incliner_n 3._o when_o the_o reclination_n inclination_n be_v equal_a to_o the_o co-latitude_n it_o be_v a_o polar_n plain_a for_o south_n incliner_n and_o north_n recliner_n 1._o the_o sum_n of_o your_o co-latitude_n and_o the_o reclination_n inclination_n be_v the_o style_n elevation_n 2._o when_o the_o reclination_n inclination_n be_v equal_a to_o your_o latitude_n it_o be_v a_o equinoctial_a plain_n and_o the_o dial_n be_v no_o more_o than_o a_o circle_n divide_v into_o 24._o equal_a part_n have_v a_o wire_n of_o any_o convenient_a length_n place_v in_o the_o centre_n perpendicular_a to_o the_o plain_a for_o the_o style_n 3._o when_o the_o reclination_n inclination_n be_v great_a than_o your_o latitude_n take_v the_o sum_n of_o the_o reclination_n inclination_n of_o your_o co-latitude_n from_o 180._o and_o the_o residue_n or_o remain_v be_v the_o style_n height_n but_o in_o this_o case_n the_o style_n must_v be_v set_v upon_o the_o plain_a as_o if_o the_o contrary_a pole_n be_v elevate_v viz._n these_o north_n recliner_n must_v have_v the_o centre_n of_o the_o style_n upward_o and_o the_o south_n incliner_n have_v it_o downward_o note_n in_o all_o south_n re-in-cliners_a north_n re-in-cliners_a for_o their_o delineation_n the_o style_n height_n be_v to_o be_v call_v the_o co-latitude_n and_o then_o you_o may_v draw_v they_o as_o erect_v direct_a plain_n for_o south_n or_o north_n as_o the_o former_a rule_n shall_v give_v they_o in_o that_o latitude_n which_o be_v the_o compliment_n of_o the_o style_n height_n for_o direct_v east_n and_o west_n recliner_n incliner_n 1._o in_o all_o east_n and_o west_n recliner_n incliner_n you_o may_v refer_v they_o to_o a_o new_a latitude_n and_o new_a declination_n and_o then_o describe_v they_o as_o erect_v decline_a plain_n 2._o their_o new_a latitude_n be_v the_o compliment_n of_o that_o latitude_n where_o the_o plain_n stand_v and_o their_o new_a declination_n be_v the_o compliment_n of_o their_o reclination_n inclination_n but_o to_o know_v which_o way_n you_o be_v to_o account_v this_o new_a declination_n remember_v all_o east_n and_o west_n recliner_n be_v north-east_n and_o north-west_n decliner_n all_o east_n and_o west_n incliner_n be_v southeast_n and_o south-west_n decliner_n 3._o their_o new_a latitude_n and_o declination_n know_v you_o may_v by_o sect_n 4._o par_fw-fr 5._o find_v the_o substyle_n from_o the_o meridian_n height_n of_o the_o style_n angle_v of_o twelve_o and_o six_o and_o inclination_n of_o meridian_n use_v in_o those_o proportion_v the_o new_a latitude_n and_o new_a declination_n instead_o of_o the_o old_a 4._o in_o all_o east_n and_o west_n recliner_n incliner_n with_o centre_n the_o meridian_n lie_v in_o the_o horizontal_a line_n of_o the_o plain_a in_o such_o as_o have_v not_o centre_n its_o parallel_n to_o the_o horizontal_a line_n sect._n 6._o the_o affection_n of_o decline_a recline_a plain_n incline_v plain_n the_o ready_a way_n for_o these_o be_v to_o refer_v they_o to_o a_o new_a latitude_n and_o new_a declination_n by_o the_o subsequent_a proportion_n 1._o to_o find_v the_o new_a latitude_n as_o the_o radius_fw-la be_v to_o the_o cousin_n of_o the_o plain_n declination_n so_o be_v the_o co-tangent_a of_o the_o reclination_n inclination_n to_o the_o tangent_fw-la of_o a_o four_o ark_n in_o south_n recliner_n north_n incliner_n get_v the_o difference_n betwixt_o this_o four_o ark_n and_o the_o latitude_n of_o your_o place_n and_o the_o compliment_n of_o that_o difference_n be_v the_o new_a latitude_n seek_v if_o the_o four_o ark_n be_v less_o than_o your_o old_a latitude_n the_o contrary_a pole_n be_v elevate_v if_o equal_a to_o your_o old_a latitude_n it_o be_v a_o polar_n plain_a in_o south_n incliner_n north_n recliner_n the_o difference_n betwixt_o the_o four_o ark_n and_o the_o compliment_n of_o your_o old_a latitude_n be_v the_o new_a latitude_n if_o the_o four_o ark_n be_v equal_a to_o your_o old_a co-latitude_n they_o be_v equinoctial_a plain_n 2._o to_o find_v the_o new_a declination_n as_o the_o radius_fw-la be_v to_o the_o cousin_n of_o the_o reclination_n inclination_n so_o be_v the_o sine_fw-la of_o the_o old_a declination_n to_o the_o sine_fw-la of_o the_o new_a 3._o to_o find_v the_o angle_n of_o the_o meridian_n with_o the_o horizontal_n line_n of_o the_o plain_a as_o the_o radius_fw-la be_v to_o the_o tangent_fw-la of_o the_o old_a declination_n so_o be_v the_o sine_fw-la of_o reclination_n inclination_n to_o the_o co-tangent_a of_o the_o angle_n of_o the_o meridian_n with_o the_o horizontal_a line_n of_o the_o plain_a this_o give_v the_o angle_n for_o its_o situation_n observe_v in_o north_n incliner_n less_o than_o a_o polar_n the_o meridian_n lie_v above_o that_o end_n of_o the_o horizontall_a line_n contrary_a to_o the_o coast_n of_o declination_n  _fw-fr  _fw-fr below_o  _fw-fr south_n recliner_n more_o than_o a_o polar_n the_o meridian_n lie_v below_o that_o end_n of_o the_o horizontall_a next_o the_o coast_n of_o declination_n  _fw-fr  _fw-fr above_o  _fw-fr north_n recliner_n less_o than_o a_o equinoctial_a the_o meridian_n lie_v above_o that_o end_n of_o the_o horizontalnext_v the_o coast_n of_o declination_n  _fw-fr  _fw-fr below_o in_o north_n recliner_n this_o meridian_n be_v 12._o at_o midnight_n  _fw-fr equal_a to_o a_o equinoctial_a the_o meridian_n descend_v below_o the_o horizontal_n at_o that_o end_n contrary_a to_o the_o coast_n of_o declination_n and_o the_o substyle_n lie_v in_o the_o hour_n line_n of_o six_o  _fw-fr  _fw-fr south_n incliner_n more_o than_o a_o equinoctial_a the_o meridian_n lie_v below_o that_o end_n of_o the_o horizontal_a contrary_n to_o the_o declination_n  _fw-fr  _fw-fr above_o in_o south_n incliner_n this_o meridian_n be_v only_o useful_a for_o draw_v the_o dial_n and_o place_v the_o substyle_n for_o the_o hour_n line_n must_v be_v draw_v through_o the_o centre_n to_o the_o low_a side_n after_o you_o have_v by_o the_o former_a proportion_n and_o rule_v find_v the_o new_a latitude_n new_a declination_n the_o angle_n and_o situation_n of_o the_o meridian_n your_o first_o business_n in_o delineat_v of_o the_o dial_n will_v be_v both_o for_o such_o as_o have_v centre_n and_o

line_n of_o second_o continue_v unto_o 60_o and_o mark_v at_o the_o end_n se._n next_o to_o the_o outward_a edge_n on_o the_o fix_a and_o movable_a piece_n which_o be_v best_a discern_v when_o those_o piece_n be_v open_v to_o the_o full_a length_n be_v a_o line_n of_o meridian_n divide_v to_o 85_o who_o use_n be_v for_o navigation_n in_o describe_v map_n or_o chart_n etc._n etc._n in_o the_o vacant_a space_n you_o may_v have_v a_o line_n of_o chord_n sin_n and_o tangent_n to_o any_o radius_fw-la the_o space_n will_v bear_v and_o what_o other_o any_o one_o think_v best_a of_o as_o a_o line_n of_o latitude_n and_o hour_n etc._n etc._n on_o the_o proportional_a side_n of_o the_o loose_a piece_n be_v line_n for_o measure_v all_o manner_n of_o solid_n as_o timber_n stone_n etc._n etc._n likewise_o for_o gage_v of_o vessel_n either_o in_o wine_n or_o ale_n measure_n on_o the_o outward_a ledge_n of_o the_o movable_a and_o fix_a piece_n both_o which_o in_o use_n must_v be_v stretch_v out_o 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declination_n and_o have_v a_o staff_n and_o a_o ballsocket_n the_o instrument_n be_v complete_v with_o its_o furniture_n proceed_v we_o now_o to_o the_o use_n only_o note_n by_o the_o way_n that_o mr._n brown_n have_v for_o conveniency_n of_o carry_v a_o pair_n of_o compass_n pen_n ink_n and_o pencil_n contrive_v the_o fix_a piece_n and_o movable_a both_o to_o be_v hollow_a and_o then_o the_o piece_n that_o cover_v those_o hollow_n do_v one_o supply_n the_o place_n of_o the_o loose_a piece_n for_o take_v altitude_n the_o other_o be_v a_o slide_a rule_n for_o measure_v solid_n and_o gage_v vessel_n without_o compass_n chap._n ii_o some_o use_n of_o the_o quadrantal_a side_n of_o the_o instrument_n probl._n 1._o to_o find_v the_o altitude_n of_o the_o sun_n or_o any_o star_n hang_v the_o thread_n and_o plummet_n upon_o the_o pin_n at_o the_o begin_n of_o the_o line_n of_o sin_n on_o the_o fix_a piece_n and_o have_v two_o sight_n in_o two_o hole_n parallel_v to_o that_o line_n raise_v the_o end_n of_o the_o fix_a piece_n towards_o the_o sun_n until_o the_o ray_n pass_v through_o the_o sight_n but_o when_o the_o sun_n be_v in_o a_o cloud_n or_o you_o take_v the_o altitude_n of_o any_o star_n look_v along_o the_o outward_a ledge_n of_o the_o fix_a piece_n until_o it_o be_v even_o with_o the_o middle_n of_o the_o sun_n or_o star_n then_o on_o the_o limb_n the_o thread_n cut_v the_o degree_n of_o altitude_n if_o you_o reckon_v from_o 0_o 60_o on_o the_o loose_a piece_n towards_o the_o head_n of_o the_o movable_a piece_n probl._n 2._o the_o day_n of_o the_o month_n give_v to_o find_v the_o sun_n place_n declination_n ascensional_a difference_n or_o time_n of_o rise_v and_o set_v with_o his_o right_a ascension_n the_o thread_n lay_v to_o the_o day_n of_o the_o month_n give_v the_o sun_n place_n in_o the_o line_n of_o sign_n reckon_v according_a to_o the_o order_n of_o the_o month_n viz._n forward_o from_o march_n the_o 10_o to_o june_n then_o backward_o to_o december_n and_o forward_o again_o to_o march_v 10._o in_o the_o limb_n you_o have_v the_o sun_n declination_n reckon_v from_o 60_o 0_o on_o the_o movable_a piece_n towards_o the_o head_n for_o north_n towards_o the_o end_n for_o south_n declination_n again_o on_o the_o line_n of_o right_a ascension_n the_o thread_n show_v the_o sun_n right_a ascension_n in_o degree_n or_o hour_n according_a to_o the_o make_n of_o your_o line_n count_v from_o aries_n towards_o the_o head_n and_o so_o back_o again_o according_a to_o the_o course_n of_o the_o sign_n unto_o 24_o hour_n or_o 360_o degree_n last_o on_o the_o line_n of_o hour_n you_o have_v the_o time_n of_o sun_n rise_v and_o set_v which_o turn_v into_o degree_n for_o the_o time_n from_o six_o give_v the_o ascensional_a difference_n ex._n gr_n in_fw-ge lat_fw-ge 52._o deg_n 30_o min._n for_o which_o latitude_n i_o shall_v make_v all_o the_o example_n the_o 22_o day_n of_o march_n i_o lay_v the_o thread_n to_o the_o day_n in_o the_o month_n and_o find_v it_o cut_v in_o the_o sign_n 12_o deg_n 20_o min._n for_o the_o sun_n place_n on_o the_o limb_n 4_o deg_n 43_o min._n for_o the_o sun_n declination_n north._n in_o the_o line_n of_o right_a ascension_n it_o give_v 46_o min._n of_o time_n or_o 11_o deg_n 30_o min._n of_o the_o circle_n last_o on_o the_o line_n of_o hour_n it_o show_v 28_o min._n before_o six_o for_o the_o sun_n rise_v or_o which_o be_v all_o 7_o deg_n for_o his_o ascensional_a difference_n probl._n 3_o the_o declination_n of_o the_o sun_n or_o any_o star_n give_v to_o find_v their_o amplitude_n take_v the_o declination_n from_o the_o scale_n of_o altitude_n with_o this_o distance_n set_v one_o point_n of_o your_o compass_n at_o 90_o on_o the_o line_n of_o azimuth_n apply_v the_o other_o point_n to_o the_o same_o line_n it_o give_v the_o amplitude_n count_v from_o 90_o ex._n gr_n at_o 10_o deg_n declination_n the_o amplitude_n be_v 16_o deg_n 30_o min._n at_o 20_o deg_n declination_n the_o amplitude_n be_v 34_o deg_n probl._n 4._o the_o right_a ascension_n of_o the_o sun_n with_o his_o ascensional_a difference_n give_v to_o find_v the_o oblique_a ascension_n in_o northern_a declination_n the_o difference_n betwixt_o the_o right_a ascension_n and_o ascensional_a difference_n be_v the_o oblique_a ascension_n in_o southern_a declination_n take_v the_o sum_n of_o they_o for_o the_o oblique_a ascension_n ex._n gr_n at_o 11_o deg_n 30_o sec._n right_a ascension_n and_o 6_o deg_n 30_o sec._n ascensional_a difference_n in_o northern_a declination_n the_o oblique_a ascension_n will_v be_v 5_o deg_n in_o southern_a 18_o deg_n probl._n 5._o the_o sun_n altitude_n and_o declination_n or_o the_o day_n of_o the_o month_n give_v to_o find_v the_o hour_n take_v the_o sun_n altitude_n from_o the_o scale_n of_o altitude_n and_o lay_v the_o thread_n to_o the_o declination_n in_o the_o limb_n or_o which_o be_v all_o one_o to_o the_o day_n in_o the_o month_n move_v one_o point_n of_o the_o compass_n along_o the_o line_n of_o hour_n on_o that_o side_n the_o thread_n next_o the_o end_n until_o the_o other_o point_n just_a touch_n the_o thread_n then_o the_o former_a point_n show_v the_o hour_n but_o whether_o it_o be_v before_o or_o after_o noon_n be_v leave_v to_o your_o judgement_n to_o determine_v ex._n gr_n the_o 22_o day_n of_o march_n or_o 4_o deg_n 43_o min._n north_n declination_n and_o 20_o deg_n altitude_n the_o hour_n be_v either_o 47_o minute_n past_o 7_o in_o the_o morning_n or_o 13_o minute_n past_o 4_o afternoon_n probl._n 6._o the_o declination_n of_o the_o sun_n or_o day_n of_o the_o month_n and_o hour_n give_v to_o find_v the_o altitude_n lay_v the_o thread_n to_o the_o day_n or_o declination_n and_o take_v the_o least_o distance_n from_o the_o hour_n to_o the_o thread_n this_o apply_v to_o the_o line_n of_o altitude_n give_v the_o altitude_n require_v ex._n gr_n the_o 5_o day_n of_o april_n or_o 10_o deg_n declination_n north_n at_o 7_o in_o the_o morning_n or_o 5_o afternoon_n the_o altitude_n will_v be_v 17_o deg_n 10_o sec._n and_o better_o probl._n 7._o the_o declination_n and_o hour_n of_o the_o night_n give_v to_o find_v the_o sun_n depression_n under_o the_o horizon_n lay_v the_o thread_n to_o the_o declination_n on_o the_o limb_n but_o count_v the_o contrary_a way_n viz._n from_o 60_o 0_o on_o the_o movable_a piece_n towards_o the_o head_n for_o southern_a and_o towards_o the_o end_n for_o northern_a declination_n this_o do_v take_v the_o near_a distance_n from_o the_o hour_n to_o the_o thread_n and_o apply_v it_o to_o the_o line_n of_o altitude_n you_o have_v the_o degree_n of_o the_o sun_n depression_n ex._n gr_n at_o 5_o deg_n northern_a declination_n &_o 8_o hour_n afternoon_n the_o depression_n