Selected quad for the lemma: day_n

Word A	Word B	Word C	Word D	Occurrence	Frequency Band	MI	MI Band	Prominent
day_n	hour_n	minute_n	pole_n	5,045	5	12.8170	5	false

Text snippets containing the quad

ID	Title	Author	Corrected Date of Publication (TCP Date of Publication)	STC	Words	Pages
A56521	The description and use of an instrument called the dovble scale of proportion by which instrument, all questions in arithmetick, geometry, trigonometry, astronomy, geography, navigation, fortification, gunnery, gaging vessels, dialling may be most accurately and speedily performed without the assistance of either pen or compasses / by Seth Partridge.	Partridge, Seth, 1603-1686.	1661 (1661)	Wing P630A; ESTC R40063	73,667	202

after_o the_o hour_n of_o six_o the_o latitude_n of_o the_o place_n be_v 51_o degr_n 30_o min._n north_n and_o the_o sun_n declination_n 11_o deg_fw-la 30_o min._n i_o demand_v the_o time_n of_o sunrising_n before_o six_o set_a the_o co-tangent_a of_o the_o latitude_n 38_o deg_fw-la 30_o min._n on_o the_o first_o to_o the_o tangent_fw-la of_o 11_o deg_fw-la 30_o min._n the_o declination_n give_v on_o the_o second_o &_o then_o on_o the_o other_o side_n against_o the_o radius_fw-la on_o the_o first_o be_v the_o sine_z 14_o deg_fw-la 50_o min._n this_o 14_o deg_fw-la 50_o min._n convert_v into_o time_n by_o account_v four_o minute_n of_o a_o hour_n to_o every_o degree_n and_o one_o minute_n of_o a_o hour_n for_o ●…_n minute_n of_o a_o degree_n and_o it_o will_v amount_v to_o 59_o minute_n of_o a_o hour_n so_o long_o the_o sun_n rise_v before_o six_o in_o the_o morning_n and_o set_v after_o six_o at_o night_n in_o the_o summer_n season_n and_o in_o the_o winter_n season_n or_o southern_a sign_n he_o rise_v so_o long_o after_o six_o in_o the_o morning_n and_o set_v so_o long_o before_o six_o at_o night_n where_o the_o latitude_n be_v 51_o deg_fw-la 30_o min._n and_o when_o the_o sun_n declination_n be_v 11_o deg_fw-la 30_o min._n south_n problem_n x._o the_o sun_n be_v in_o the_o equinoctial_a by_o know_v his_o distance_n from_o the_o meridian_n and_o the_o latitude_n of_o the_o place_n to_o find_v the_o sun_n altitude_n at_o that_o time_n march_v the_o ten_o the_o sun_n be_v in_o the_o equinoctial_a at_o ten_o a_o clock_n before_o noon_n or_o at_o two_o a_o clock_n after_o noon_n he_o be_v at_o that_o hour_n distant_a from_o the_o meridian_n 30_o degree_n i_o will_v know_v his_o height_n in_o our_o latitude_n of_o 51_o deg_fw-la 30_o minute_n set_a the_o radius_fw-la on_o the_o first_o to_o the_o cousin_a of_o the_o latitude_n 38_o deg_fw-la 30_o min._n on_o the_o second_o and_o then_o against_o the_o cousin_a of_o the_o sun_n distance_n from_o the_o meridian_n viz._n against_o 60_o degree_n on_o the_o first_o be_v 32_o deg_fw-la 37_o min._n on_o the_o second_o so_o much_o be_v the_o sun_n altitude_n on_o the_o ten_o of_o march_n at_o ten_o a_o clock_n in_o the_o forenoon_n and_o at_o two_o a_o clock_n after_o noon_n problem_n xi_o the_o latitude_n of_o the_o place_n and_o the_o sun_n declination_n northwards_o be_v know_v to_o find_v the_o sun_n altitude_n at_o the_o hour_n of_o six_o let_v the_o latitude_n of_o the_o place_n be_v 51_o deg_fw-la 30_o min._n the_o sun_n declination_n 11_o deg_fw-la 50_o min._n north_n and_o the_o sun_n height_n at_o six_o a_o clock_n be_v desire_v set_a the_o radius_fw-la on_o the_o first_o to_z the_o sine_z of_o the_o declination_n 11_o deg_fw-la 50_o min._n on_o the_o second_o and_o then_o against_o 51_o deg_fw-la 30_o min._n the_o latitude_n on_o the_o first_o be_v 8_o deg_fw-la 58_o min._n on_o the_o second_o so_o much_o be_v the_o sun_n height_n at_o the_o hour_n of_o six_o at_o morning_n and_o night_n or_o else_o thus_o set_v the_o radius_fw-la to_o 51_o deg_fw-la 30_o min._n and_o then_o against_o 11_o deg_fw-la 50_o min._n on_o the_o first_o be_v 8_o deg_fw-la 58_o min._n on_o the_o second_o for_o note_v that_o the_o radius_fw-la on_o the_o first_o may_v be_v set_v to_o either_o of_o the_o other_o two_o term_n give_v on_o the_o second_o and_o then_o against_o the_o other_o term_n on_o the_o first_o be_v the_o answer_n on_o the_o second_o problem_n xii_o the_o latitude_n and_o declination_n of_o the_o sun_n be_v know_v to_o find_v the_o sun_n azimuth_n at_o the_o hour_n of_o six_o from_o the_o north_n part_n of_o the_o meridian_n in_o the_o latitude_n of_o 51_o deg_fw-la 30_o min._n the_o sun_n declination_n give_v be_v 11_o deg_fw-la 30_o min._n what_o be_v his_o azimuth_n at_o the_o hour_n of_o six_o set_a the_o radius_fw-la on_o the_o first_o to_o the_o cousin_a of_o the_o latitude_n 38_o degr_n 30_o min._n on_o the_o second_o and_o then_o against_o the_o co-tangent_a of_o the_o declination_n 11_o deg_fw-la 30_o min._n on_o the_o first_o be_v the_o tangent_fw-la 82_o deg_fw-la 47_o min._n on_o the_o second_o so_o much_o be_v the_o sun_n azimuth_n from_o the_o north_n towards_o the_o east_n which_o be_v require_v problem_n xiii_o the_o latitude_n of_o the_o place_n and_o the_o sun_n altitude_n at_o the_o point_n of_o his_o be_v due_a east_n or_o west_n to_o find_v the_o hour_n and_o minute_n when_o he_o will_v be_v so_o due_a east_n or_o west_n the_o latitude_n of_o the_o place_n be_v 51_o deg_fw-la 30_o min._n the_o sun_n height_n find_v at_o his_o be_v on_o the_o true_a east_n point_n be_v 14_o deg_fw-la 45_o min._n i_o demand_v the_o hour_n of_o the_o day_n set_a the_o radius_fw-la on_o the_o first_o to_o the_o cousin_a of_o the_o latitude_n 38_o deg_fw-la 30_o min._n on_o the_o second_o and_o then_o on_o the_o line_n of_o tangent_n right_a against_o the_o tangent_fw-la of_o the_o sun_n altitude_n at_o his_o be_v due_a east_n viz._n 14_o deg_fw-la 45_o min._n on_o that_o first_o be_v 9_o deg_fw-la 18_o min._n on_o the_o second_o the_o tangent_fw-la of_o time_n from_o the_o hour_n of_o six_o either_o before_o or_o after_o that_o the_o sun_n will_v be_v due_a east_n or_o due_a west_n this_o 9_o degr_n 18_o minute_n reduce_v into_o time_n by_o allow_v to_o every_o degree_n four_o minute_n of_o time_n and_o for_o fifteen_o minute_n of_o a_o degree_n one_o minute_n of_o time_n amount_v to_o 37_o minute_n of_o time_n so_o than_o the_o sun_n be_v due_a east_n on_o the_o day_n give_v at_o 37_o minute_n after_o six_o a_o clock_n in_o the_o morning_n and_o also_o will_v be_v due_a west_n at_o 37_o minute_n before_o six_o at_o night_n which_o be_v at_o five_o a_o clock_n 23_o minute_n problem_n fourteen_o the_o elevation_n of_o the_o pole_n the_o sun_n or_o a_o star_n declination_n and_o distance_n from_o the_o meridian_n for_o any_o time_n be_v give_v to_o find_v the_o sun_n altitude_n at_o that_o time_n let_v the_o elevation_n of_o the_o pole_n be_v 51_o deg_fw-la 30_o min._n who_o compliment_n to_o 90_o be_v 38_o deg_fw-la 30_o min._n the_o sun_n declination_n 11_o deg_fw-la 30_o minute_n who_o compliment_n be_v 78_o deg_fw-la 30_o min._n his_o distance_n from_o the_o pole_n his_o distance_n from_o the_o meridian_n 30_o degree_n or_o which_o be_v all_o one_o two_o hour_n that_o be_v either_o at_o ten_o or_o two_o a_o clock_n and_o the_o compliment_n of_o this_o distance_n to_o 90_o degree_n be_v 60_o degree_n and_o let_v the_o sun_n altitude_n for_o that_o time_n be_v require_v 1_o set_v the_o radius_fw-la on_o the_o first_o to_o 60_o deg_fw-la the_o cousin_a of_o the_o sun_n distance_n from_o noon_n on_o the_o second_o and_o then_o on_o the_o line_n of_o tangent_n against_o 38_o deg_fw-la 30_o minute_n the_o co-tangent_a of_o the_o elevation_n on_o the_o first_o be_v the_o tangent_fw-la 34_o degr_fw-la 33_o min._n on_o the_o second_o for_o the_o four_o term_n which_o take_v from_o the_o sun_n distance_n from_o the_o pole_n the_o remainder_n be_v 43_o degree_n 56_o minute_n 2_o set_v the_o cousin_a of_o that_o 34_o deg_fw-la 33_o min._n the_o four_o term_n viz._n 55_o deg_fw-la 27_o min._n on_o the_o first_o to_o 46_o deg_fw-la 4_o min._n the_o cousin_a of_o that_o remainder_n on_o the_o second_o and_o then_o against_o the_o sine_fw-la of_o the_o elevation_n 51_o deg_fw-la 30_o min._n on_o the_o first_o be_v the_o sine_fw-la 43_o deg_fw-la 18_o min._n on_o the_o second_o so_o much_o be_v the_o altitude_n of_o the_o sun_n at_o that_o time_n the_o thing_n require_v this_o be_v when_o the_o sun_n have_v northern_a declination_n but_o when_o he_o have_v southern_a declination_n then_o add_v his_o declination_n to_o 90_o deg_fw-la and_o it_o make_v 101_o deg_fw-la 30_o min._n the_o sun_n distance_n from_o the_o pole_n from_o which_o take_v the_o four_o term_v find_v and_o the_o remain_v be_v 66_o deg_fw-la 27_o min._n this_o do_v the_o second_o work_n will_v be_v thus_o set_v the_o cousin_a of_o the_o four_o term_v find_v on_o the_o first_o viz._n 55_o deg_fw-la 27_o min._n to_o the_o cousin_a of_o that_o remain_v which_o be_v 23_o deg_fw-la 33_o min._n on_o the_o second_o and_o then_o against_o 51_o deg_fw-la 50_o min._n the_o elevation_n on_o the_o first_o be_v 21_o deg_fw-la 52_o min._n on_o the_o second_o the_o sun_n height_n at_o ten_o or_o two_o a_o clock_n when_o he_o have_v 11_o deg_fw-la 30_o minute_n of_o south_n declination_n if_o the_o sun_n be_v just_a in_o the_o equinoctial_a have_v no_o declination_n then_o to_o find_v his_o height_n on_o that_o day_n at_o ten_o or_o two_o a_o clock_n the_o work_n will_v be_v do_v at_o one_o work_v in_o

this_o manner_n set_a the_o radius_fw-la on_o the_o first_o to_o 60_o degree_n the_o cousin_a of_o the_o distance_n from_o the_o meridian_n on_o the_o second_o and_o then_o against_o 38_o degr_n 50_o min._n the_o cousin_a of_o the_o elevation_n on_o the_o first_o be_v the_o sine_fw-la 32_o deg_fw-la 62_o min._n so_o much_o be_v the_o sun_n altitude_n at_o the_o hour_n of_o ten_o and_o two_o a_o clock_n on_o the_o equinoctial_a day_n problem_n xv._o have_v the_o pole_n elevation_n and_o the_o sun_n declination_n to_o find_v the_o ascensional_a difference_n let_v the_o pole_n elevation_n be_v 51_o deg_fw-la 30_o min._n and_o the_o sun_n declination_n 11_o deg_fw-la 30_o min._n and_o by_o they_o the_o ascensional_a difference_n require_v to_o be_v give_v set_a 38_o deg_fw-la 30_o min._n the_o co-tangent_a of_o the_o elevation_n on_o the_o first_o to_o the_o tangent_fw-la of_o the_o declination_n 11_o deg_fw-la 30_o min._n on_o the_o second_o and_o then_o on_o the_o line_n of_o sines_n against_o the_o radius_fw-la on_o that_o first_o be_v the_o sine_z of_o 14_o deg_fw-la 49_o min._n on_o the_o second_o so_o much_o be_v the_o ascensional_a difference_n require_v at_o that_o time_n as_o the_o sun_n have_v 11_o deg_fw-la 30_o min._n declination_n i_o can_v show_v by_o this_o ascensional_a difference_n convert_v into_o time_n how_o to_o find_v the_o time_n of_o sunrising_n and_o set_v with_o the_o length_n of_o day_n and_o night_n etc._n etc._n but_o these_o be_v thing_n do_v without_o the_o line_n and_o therefore_o i_o pass_v they_o by_o have_v limit_v myself_o to_o show_v only_o the_o use_n of_o the_o double_a line_n problem_n xvi_o have_v any_o planet_n declination_n and_o latitude_n with_o its_o distance_n from_o the_o next_o equinoctial_a point_n to_o find_v its_o right_a ascension_n let_v a_o planet_n declination_n be_v 26_o degree_n its_o latitude_n 4_o degree_n and_o its_o distance_n from_o the_o near_a equinoctial_a point_n 70_o degree_n it_o be_v in_o the_o 10_o deg_fw-la of_o gemini_fw-la i_o demand_v the_o right_a ascension_n thereof_o which_o to_o attain_v set_v 64_o deg_fw-la the_o cousin_a of_o the_o declination_n to_o 20_o deg_fw-la the_o cousin_a of_o the_o planet_n distance_n from_o the_o next_o equinoctial_a point_n and_o then_o against_o 86_o deg_fw-la on_o the_o first_o the_o cousin_a of_o the_o planet_n latitude_n be_v 22_o deg_fw-la 17_o min._n on_o the_o second_o the_o cousin_a of_o the_o right_a ascension_n therefore_o 67_o deg_fw-la 43_o min._n be_v the_o compliment_n of_o 22_o deg_fw-la 17_o min._n be_v the_o right_a ascension_n of_o that_o planet_n which_o be_v demand_v problem_n xvii_o the_o sun_n great_a declination_n with_o his_o distance_n from_o the_o next_o equinoctial_a point_n be_v have_v to_o find_v the_o meridian_n angle_n that_o be_v the_o intersection_n of_o the_o meridian_n with_o the_o ecliptic_a let_v the_o sun_n great_a declination_n be_v 23_o degr_n 30_o min._n and_o his_o place_n just_o enter_v taurus_n which_o be_v distant_a from_o the_o near_a equinoctial_a point_n 30_o degree_n i_o will_v know_v the_o meridian_n angle_n set_a the_o radius_fw-la on_o the_o first_o to_o 60_o degree_n the_o cousin_a of_o the_o sun_n distance_n from_o the_o near_a equinoctial_a point_n on_o the_o second_o and_o then_o on_o the_o line_n of_o tangent_n against_o 23_o deg_fw-la 30_o min._n the_o tangent_fw-la of_o the_o sun_n great_a declination_n on_o the_o first_o be_v 20_o deg_fw-la 38_o min._n on_o the_o second_o which_o be_v the_o co-tangent_a of_o the_o angle_n seek_v wherefore_o the_o meridian_n angle_n be_v 69_o degr_n 22_o min._n be_v the_o compliment_n of_o 20_o degr_n 38_o min._n to_o 90_o degree_n problem_n xviii_o the_o sun_n declination_n and_o amplitude_n give_v to_o find_v the_o height_n of_o the_o pole_n let_v the_o sun_n declination_n give_v be_v 14_o degr_n 51_o min._n and_o his_o amplitude_n 19_o degr_n 7_o min._n and_o the_o pole_n elevation_n demand_v set_a 19_o deg_fw-la 7_o min._n the_o amplitude_n on_o the_o first_o to_z 14_o deg_fw-la 51_o min._n the_o declination_n on_o the_o second_o and_o then_o against_o the_o radius_fw-la on_o the_o first_o be_v 51_o deg_fw-la 30_o min._n on_o the_o second_o which_o be_v the_o sine_fw-la of_o the_o latitude_n wherefore_o 51_o degr_n 30_o min._n be_v the_o latitude_n seek_v problem_n xix_o the_o amplitude_n of_o the_o sun_n and_o time_n of_o his_o rise_a be_v know_v to_o find_v thereby_o his_o declination_n let_v the_o sun_n amplitude_n be_v 33_o degr_n 38_o min._n and_o the_o time_n of_o his_o rise_n be_v at_o 4_o a_o clock_n 10_o minute_n by_o which_o two_o thing_n know_v i_o will_v find_v the_o declination_n of_o the_o sun_n here_o first_o convert_v the_o 4_o hour_n 10_o minute_n into_o degree_n and_o minute_n and_o they_o make_v 62_o degr_n 30_o minute_n now_o set_v this_o 62_o degr_n 30_o min._n the_o time_n of_o sunrising_n convert_v into_o degree_n on_o the_o first_o to_o 56_o deg_fw-la 22_o min._n the_o cousin_a of_o the_o amplitude_n on_o the_o second_o and_o then_o against_o the_o radius_fw-la on_o the_o first_o be_v 69_o degr_n 50_o min._n on_o the_o second_o the_o cousin_a of_o the_o declination_n whereby_o it_o follow_v that_o 20_o deg_fw-la 10_o min._n be_v the_o declination_n desire_v problem_n xx._n have_v the_o elevation_n of_o the_o pole_n and_o the_o sun_n amplitude_n to_o find_v his_o declination_n let_v the_o elevation_n of_o the_o pole_n be_v 51_o degr_n 30_o min._n and_o the_o sun_n amplitude_n 19_o deg_fw-la 7_o min._n by_o which_o two_o thing_n give_v the_o declination_n be_v require_v set_a the_o radius_fw-la on_o the_o first_o to_o 19_o deg_fw-la 7_o min._n the_o sun_n amplitude_n on_o the_o second_o and_o then_o against_o 51_o deg_fw-la 30_o min._n the_o sine_fw-la of_o the_o elevation_n on_o the_o first_o be_v 14_o deg_fw-la 51_o min._n the_o sine_fw-la of_o the_o declination_n upon_o the_o second_o the_o thing_n desire_v problem_n xxi_o have_v the_o hour_n of_o the_o day_n the_o sun_n nltitude_n and_o declination_n to_o find_v the_o azimuth_n let_v the_o sun_n altitude_n be_v 25_o degr_n 56_o min._n who_o compliment_n be_v 64_o deg_fw-la 4_o min._n his_o declination_n 11_o deg_fw-la 30_o min._n whereof_o the_o compliment_n be_v 78_o degr_n 30_o min._n the_o hour_n of_o the_o day_n 7_o hour_n 56_o minute_n before_o noon_n which_o time_n be_v distant_a from_o noon_n 4_o hour_n 4_o minute_n this_o time_n convert_v into_o degree_n give_v 61_o degree_n now_o by_o these_o thing_n know_v the_o azimuth_n be_v desire_v to_o be_v find_v set_a 64_o degree_n 4_o minute_n the_o cousin_a of_o the_o sun_n altitude_n on_o the_o first_o to_o 61_o degree_n the_o sun_n distance_n from_o the_o meridian_n on_o the_o second_o and_o then_o against_o 78_o degree_n 30_o minute_n the_o cousin_a of_o the_o declination_n on_o the_o first_o be_v 72_o degree_n 22_o minute_n on_o the_o second_o so_o much_o be_v the_o sun_n azimuth_n from_o the_o south_n eastward_n problem_n xxii_o the_o sun_n declination_n altitude_n and_o azimuth_n be_v know_v to_o find_v the_o hour_n of_o the_o day_n svppose_v the_o sun_n declination_n be_v 11_o degr_n 30_o min._n his_o altitude_n 25_o deg_fw-la 56_o min._n and_o the_o azimuth_n 72_o deg_fw-la 22_o min._n hereby_o to_o find_v the_o hour_n of_o the_o day_n set_a 78_o deg_fw-la 30_o min._n on_o the_o first_o which_o be_v the_o compliment_n of_o the_o declination_n to_o 64_o deg_fw-la 4_o min._n on_o the_o second_o which_o be_v the_o compliment_n of_o the_o altitude_n and_o then_o against_o 72_o deg_fw-la 22_o min._n the_o azimuth_n on_o the_o first_o be_v 61_o agree_v on_o the_o second_o this_o 61_o degree_n convert_v into_o time_n give_v 4_o hour_n 4_o minute_n which_o take_v from_o 12_o hour_n the_o remain_v be_v 7_o hour_n 56_o minute_n before_o noon_n the_o time_n of_o the_o day_n require_v problem_n xxiii_o the_o altitude_n of_o the_o equator_fw-la and_o the_o sun_n or_o a_o star_n declination_n be_v give_v to_o find_v the_o angle_n of_o the_o meridian_n with_o the_o horizon_n let_v the_o altitude_n of_o the_o equator_fw-la be_v 51_o degree_n 30_o minute_n and_o the_o declination_n 22_o degree_n and_o the_o angle_n of_o the_o meridian_n with_o the_o horizon_n seek_v for_o set_a 68_o degree_n the_o cousin_a of_o the_o declination_n on_o the_o first_o to_o the_o radius_fw-la on_o the_o second_o and_o then_o against_o 51_o deg_fw-la 30_o min._n the_o cousin_a of_o the_o equator_n altitude_n on_o the_o first_o be_v 57_o degree_n 34_o minute_n on_o the_o second_o so_o much_o be_v the_o angle_n of_o the_o meridian_n or_o circle_n of_o declination_n with_o the_o horizon_n chap._n ix_o the_o use_n of_o the_o double_a scale_n in_o geography_n problem_n i._n two_o place_n lie_v without_o the_o equinoctial_a and_o have_v both_o one_o latitude_n