Selected quad for the lemma: day_n

Word A	Word B	Word C	Word D	Occurrence	Frequency Band	MI	MI Band	Prominent
day_n	latitude_n	mile_n	minute_n	3,824	5	11.6366	5	false

Text snippets containing the quad

ID	Title	Author	Corrected Date of Publication (TCP Date of Publication)	STC	Words	Pages
A08582	The circles of proportion and the horizontal instrument The former shewing the maner how to work proportions both simple and compound: and the ready and easy resolving of quæstions both in arithmetic, geometrie, & astronomie: and is newly increased with an additament for navigation. All which rules may also be wrought with the penne by arithmetic, and the canon of triangles. The later teaching how to work most quæstions, which may be performed by the globe: and to delineat dialls upon any kind of plaine. Invented, and written in latine by W.O. Translated into English, and set out for the public benefit, by William Forster.	Oughtred, William, 1575-1660.; Forster, William, mathematician.; Oughtred, William, 1575-1660. Addition unto the use of the circles of proportion. aut	1633 (1633)	STC 18899B; ESTC S120820	74,822	159

have_v the_o great_a latitude_n be_v and_o say_v as_o the_o tang_n of_o the_o compl_a of_o the_o lesser_a distance_n from_o the_o pole_n be_v to_o the_o radius_fw-la so_o be_v the_o sine_fw-la of_o the_o compl_a or_o excess_n of_o the_o difference_n of_o longitude_n to_o the_o tang_n of_o the_o first_o base_a take_v this_o first_o base_a out_o of_o the_o great_a distance_n from_o the_o pole_n and_o the_o remain_v shall_v be_v the_o second_o base_a then_o say_v as_o the_o sine_fw-la of_o the_o compl_a of_o the_o first_o base_a be_v to_o the_o sine_fw-la of_o the_o compl_a of_o the_o second_o base_a so_o be_v the_o sine_fw-la of_o the_o compl_a of_o the_o lesser_a distance_n from_o the_o pole_n to_o the_o sine_fw-la of_o the_o compl_a of_o the_o distance_n of_o the_o two_o star_n if_o any_o man_n will_v take_v pain_n to_o calculate_v by_o this_o last_o rule_n the_o distance_n of_o some_o note_a star_n of_o the_o first_o second_o and_o three_o magnitude_n round_o about_o the_o heaven_n which_o be_v not_o above_o 5_o or_o 6_o degree_n at_o the_o most_o one_o from_o the_o other_o and_o shall_v keep_v they_o write_v in_o his_o book_n they_o may_v serve_v as_o a_o rule_n or_o instrument_n whereby_o he_o may_v reasonable_o estimate_v with_o his_o eye_n the_o distance_n of_o any_o planet_n or_o comet_n or_o other_o apparition_n from_o a_o know_a fix_a star_n not_o very_o far_o remote_a by_o compare_v the_o distance_n which_o he_o will_v know_v with_o some_o of_o those_o know_a distance_n which_o he_o shall_v find_v either_o to_o be_v equal_a or_o else_o to_o have_v some_o proportion_n thereto_o 42._o the_o longitude_n and_o latitude_n of_o any_o two_o city_n be_v give_v to_o find_v their_o distance_n the_o manner_n of_o the_o operation_n be_v the_o very_a same_o with_o the_o former_a unto_o which_o therefore_o i_o refer_v the_o reader_n only_o will_v note_v that_o in_o the_o heaven_n the_o longitude_n and_o latitude_n be_v take_v in_o respect_n of_o the_o ecliptic_a which_o be_v the_o way_n of_o the_o sun_n all_o the_o star_n in_o their_o proper_a motion_n have_v reference_n unto_o it_o as_o unto_o their_o measure_n and_o rule_v but_o in_o the_o earth_n the_o principal_a circle_n be_v the_o equinoctial_a divide_v it_o into_o the_o northern_a and_o southern_a he_o misphaere_n and_o therefore_o in_o the_o earth_n the_o longitude_n and_o latitude_n be_v reckon_v by_o the_o aequinoctial_a the_o distance_n of_o two_o place_n upon_o the_o earth_n be_v find_v in_o degree_n may_v be_v convert_v into_o english_a mile_n by_o take_v 60_o mile_n for_o every_o degree_n and_o one_o mile_n for_o every_o minute_n 43._o to_o find_v at_o what_o hour_n a_o fix_a star_n come_v into_o the_o meridian_n any_o day_n seek_v the_o right_a ascension_n of_o the_o sun_n for_o that_o day_n by_o sect_n 〈◊〉_d and_o subduct_v it_o out_o of_o the_o right_a ascension_n of_o the_o star_n and_o reduct_v the_o degree_n remain_v into_o hour_n by_o sect_n 1._o the_o same_o shall_v show_v how_o long_a time_n from_o the_o noon_n before_o the_o same_o star_n shall_v come_v into_o the_o meridian_n wherefore_o if_o at_o any_o time_n of_o the_o night_n a_o star_n who_o right_a ascension_n be_v know_v be_v in_o the_o meridian_n the_o hour_n of_o the_o night_n be_v easy_o find_v 44._o the_o height_n of_o any_o know_a star_n above_o the_o horizon_n be_v by_o any_o mean_v give_v to_o find_v the_o hour_n of_o the_o night_n first_o seek_v out_o the_o hour_n of_o that_o star_n come_v into_o the_o meridian_n the_o same_o day_n by_o sect._n 43._o again_o seek_v out_o the_o horary_a distance_n of_o that_o star_n from_o the_o meridian_n according_a to_o sect_n 19_o and_o then_o if_o the_o star_n be_v on_o the_o east_n side_n not_o yet_o come_v to_o the_o meridian_n take_v the_o difference_n of_o those_o two_o number_n but_o if_o the_o star_n be_v past_o the_o meridian_n take_v the_o sum_n of_o they_o for_o the_o hour_n of_o the_o night_n 45._o the_o height_n of_o the_o pole_n be_v give_v to_o find_v the_o come_n of_o any_o fix_a star_n in_o the_o due_a east_n or_o west_n say_v as_o the_o radius_fw-la be_v to_o the_o tang_n of_o the_o star_n declination_n so_o be_v the_o tang_n of_o the_o compl_a of_o the_o pole_n to_o the_o sine_fw-la of_o the_o compl_a of_o the_o star_n horary_a distance_n from_o the_o meridian_n 46._o the_o height_n of_o the_o pole_n be_v give_v to_o find_v the_o altitude_n of_o any_o fix_a star_n above_o the_o horizon_n be_v due_a east_n or_o west_n say_v as_o the_o sine_fw-la of_o the_o height_n of_o the_o pole_n be_v to_o the_o radius_fw-la so_o be_v the_o sine_fw-la of_o the_o star_n declination_n to_o the_o sine_fw-la of_o the_o altitude_n at_o due_a east_n or_o west_n 47._o by_o the_o altitude_n of_o any_o two_o know_a fix_a star_n take_v when_o they_o be_v both_o in_o the_o same_o azumith_n to_o find_v the_o height_n of_o the_o pole_n first_o say_v as_o the_o sine_fw-la of_o the_o difference_n of_o the_o star_n altitude_n be_v to_o the_o sine_fw-la of_o the_o difference_n of_o their_o right_a ascension_n so_o be_v the_o sine_fw-la of_o the_o near_a star_n distance_n from_o the_o apparent_a pole_n to_o the_o sine_fw-la of_o a_o angle_n to_o be_v keep_v again_o compare_v the_o further_a star_n distance_n from_o the_o pole_n with_o the_o distance_n from_o the_o zenith_n and_o say_v as_o the_o radius_fw-la be_v to_o the_o sine_fw-la of_o the_o compl_a of_o the_o angle_n keep_v so_o be_v the_o tang_n of_o the_o lesser_a of_o the_o compare_v arch_n to_o the_o tang_n of_o the_o first_o base_a subduct_v the_o first_o base_a out_o of_o the_o great_a of_o the_o two_o compare_v arch_n and_o the_o remain_v shall_v be_v the_o second_o base_a then_o last_o say_v as_o the_o sine_fw-la of_o the_o compliment_n of_o the_o first_o base_a be_v to_o the_o sine_fw-la of_o the_o compl_a of_o the_o second_o base_a so_o be_v the_o sine_fw-la of_o the_o compl_a of_o the_o lesser_a of_o the_o two_o compare_v arch_n to_o the_o sine_fw-la of_o the_o height_n of_o the_o pole_n 48._o to_o find_v out_o the_o horizontall_a parallax_n of_o the_o moon_n first_o the_o distance_n of_o the_o moon_n from_o the_o centre_n of_o the_o earth_n must_v be_v know_v in_o semidiameter_n of_o the_o earth_n which_o unto_o they_o that_o be_v acquaint_v with_o the_o theory_n of_o the_o planet_n be_v not_o very_o difficult_a and_o whereof_o peradventure_o i_o may_v hereafter_o teach_v the_o practice_n by_o most_o easy_a and_o exact_a instrument_n which_o i_o have_v long_o since_o frame_v say_v as_o the_o distance_n of_o the_o moon_n from_o the_o centre_n of_o the_o earth_n be_v to_o the_o semidiameter_n of_o the_o earth_n so_o be_v the_o radius_fw-la to_o the_o sine_fw-la of_o the_o moon_n horizontall_a parallax_n in_o that_o distance_n 49._o the_o horizontall_a parallax_n of_o the_o moon_n be_v give_v to_o find_v her_o parallax_n in_o any_o apparent_a altitude_n as_o the_o radius_fw-la be_v to_o the_o sine_fw-la of_o the_o altitude_n of_o the_o moon_n so_o be_v the_o sine_fw-la of_o the_o horizontall_a parallax_n to_o the_o sine_fw-la of_o the_o parallax_n in_o that_o altitude_n 50._o the_o place_n of_o the_o moon_n in_o the_o ecliptic_a have_v little_a or_o no_o latitude_n as_o in_o the_o eclipse_n of_o the_o sun_n together_o with_o her_o parallax_n of_o altitude_n be_v give_v to_o find_v the_o parallax_n of_o her_o longitude_n and_o latitude_n if_o the_o moon_n be_v in_o the_o 90_o degree_n of_o the_o ecliptic_a she_o have_v no_o parallax_n of_o longitude_n and_o the_o parallax_n of_o latitude_n be_v the_o very_a parallax_n in_o that_o altitude_n but_o if_o the_o moon_n be_v not_o in_o the_o 90_o deg_fw-la say_v as_o the_o radius_fw-la be_v to_o the_o tang_n of_o the_o angle_n of_o the_o ecliptic_a with_o the_o horizon_n so_o be_v the_o sine_fw-la of_o the_o compl_a of_o the_o distance_n of_o the_o moon_n from_o the_o ascendent_n or_o descendent_a degree_n of_o the_o ecliptic_a to_o the_o tang_n of_o the_o compl_a of_o the_o angle_n of_o the_o ecliptic_a with_o the_o azumith_n of_o the_o moon_n again_o say_v as_o the_o radius_fw-la be_v to_o the_o sine_fw-la of_o that_o angle_n so_o be_v the_o parallax_n of_o the_o moon_n altitude_n to_o the_o parallax_n of_o her_o latitude_n last_o say_v as_o the_o radius_fw-la be_v to_o the_o sine_fw-la of_o the_o compl_a of_o that_o former_a angle_n so_o be_v the_o parallax_n of_o the_o moon_n altitude_n to_o the_o parallax_n of_o her_o longitude_n which_o be_v to_o be_v add_v to_o the_o true_a motion_n of_o the_o moon_n if_o she_o be_v on_o the_o east_n part_n of_o the_o 90_o degree_n of_o the_o ecliptic_a or_o to_o be_v subduct_v out_o of_o it_o if_o she_o be_v on_o the_o west_n

that_o imaginary_a parallel_n do_v the_o manifold_a use_n of_o this_o instrument_n especial_o rely_v because_o the_o true_a place_n of_o the_o sun_n all_o that_o day_n be_v in_o some_o part_n or_o point_n of_o that_o circle_n wherefore_o for_o the_o better_a conceive_v and_o bear_v in_o mind_n thereof_o every_o five_o parallel_n be_v herein_o make_v a_o little_o grosser_n than_o the_o rest_n i_o use_v and_o thus_o by_o the_o eye_n and_o view_v only_o to_o behold_v and_o comprehend_v the_o course_n of_o the_o sun_n both_o for_o his_o annual_a and_o diurnal_a motion_n may_v be_v the_o first_o use_n of_o this_o instrument_n two_o use_n to_o take_v the_o height_n of_o the_o sun_n above_o the_o horizon_n set_a up_o the_o pin_n which_o be_v therefore_o make_v fit_a for_o the_o hole_n at_o the_o centre_n perpendicular_a in_o the_o centre_n and_o put_v the_o indices_fw-la on_o both_o side_n down_o upon_o the_o meridian_n that_o they_o with_o their_o weight_n may_v not_o sway_v the_o instrument_n any_o way_n as_o it_o hang_v then_o with_o a_o thread_n put_v into_o the_o hole_n above_o in_o the_o handle_n hang_v it_o perpendicular_o bear_v the_o edge_n towards_o the_o sun_n that_o the_o pin_n may_v cast_v a_o shadow_n upon_o the_o degree_n in_o the_o limb_n for_o that_o degree_n which_o the_o shadow_n of_o the_o pin_n cut_v in_o the_o limb_n be_v the_o height_n of_o the_o sun_n above_o the_o horizon_n at_o that_o present_a iii_o use_n to_o find_v the_o declination_n of_o the_o sun_n every_o day_n look_v the_o day_n of_o the_o month_n propose_v in_o the_o ecliptic_a and_o mark_v how_o many_o degree_n the_o prick_n show_v that_o day_n be_v distant_a from_o the_o equinoctial_a either_o on_o the_o summer_n or_o winter_n side_n viz_o north_n or_o south_n example_n i._o what_o will_v the_o declination_n of_o the_o sun_n be_v upon_o the_o 11_o day_n of_o august_n look_v the_o 11_o day_n of_o august_n and_o you_o shall_v find_v it_o in_o the_o sixth_o circle_n above_o the_o aequinoctial_a now_o because_o each_o parallel_n stand_v as_o have_v be_v say_v before_o for_o 2_o degree_n the_o sun_n shall_v that_o day_n decline_v north-ward_n 12_o degree_n example_n ii_o what_o declination_n have_v the_o sun_n upon_o the_o 24_o day_n of_o march_n look_v the_o 24_o day_n of_o march_n and_o you_o shall_v find_v it_o between_o the_o second_o and_o three_o northern_a parallel_n as_o it_o be_v a_o half_a and_o one_o five_o part_n more_o of_o that_o distance_n from_o the_o second_o reckon_v therefore_o 4_o degree_n for_o the_o two_o circle_n and_o one_o degree_n for_o the_o half_a space_n so_o shall_v the_o sun_n declination_n be_v 5_o degree_n and_o about_o one_o five_o part_n of_o a_o degree_n northward_o that_o same_o day_n example_n iii_o what_o declination_n have_v the_o sun_n upon_o the_o 13_o day_n of_o november_n look_v the_o 13_o day_n of_o november_n and_o you_o shall_v find_v it_o below_o the_o equinoctial_a ten_o parallel_n and_o about_o one_o quarter_n which_o be_v 20_o degree_n and_o a_o half_a southward_o so_o much_o be_v the_o declination_n and_o according_a to_o these_o example_n judge_v of_o all_o the_o rest_n four_o use_n to_o find_v the_o right_a ascension_n of_o the_o sun_n every_o day_n imagine_v a_o hour_n line_n through_o the_o day_n of_o the_o month_n give_v and_o mark_v in_o what_o point_n it_o will_v cr●sse_v the_o aequinoctial_a then_o lay_v a_o ruler_n or_o a_o straight_a scroll_n of_o paper_n to_o the_o pole_n of_o the_o world_n note_v in_o the_o instrument_n with_o p_o w_n and_o that_o same_o point_n for_o the_o ruler_n shall_v in_o the_o innermost_a circle_n of_o the_o limb_n of_o the_o south_n side_n cut_v the_o right_a ascension_n of_o the_o sun_n for_o that_o day_n to_o be_v reckon_v from_o the_o west_n to_o the_o point_n of_o intersection_n for_o the_o first_o or_o upper_a semicircle_n of_o the_o ecliptic_a or_o from_o the_o east_n together_o with_o 180_o for_o the_o second_o or_o low_a semicircle_n of_o the_o ecliptic_a v._o use_v to_o find_v the_o longitude_n of_o the_o sun_n or_o in_o what_o degree_n of_o the_o sign_n he_o be_v every_o day_n the_o pole_n of_o the_o first_o semicircle_n of_o the_o ecliptic_a be_v note_v p_o i._n and_o the_o pole_n of_o the_o second_o semicircle_n be_v note_v p_o i_o i._o lie_v a_o ruler_n or_o a_o straight_a scroll_n of_o paper_n to_o the_o day_n of_o the_o month_n and_o the_o proper_a pole_n of_o the_o semicircle_n of_o the_o ecliptic_a in_o which_o it_o be_v for_o the_o ruler_n shall_v in_o the_o innermost_a circle_n of_o the_o limb_n on_o the_o south_n side_n cut_v the_o degree_n of_o the_o sun_n place_n in_o the_o ecliptic_a reckon_v it_o in_o the_o same_o manner_n as_o you_o do_v in_o find_v the_o sun_n right_a ascension_n and_o the_o arch_n thus_o find_v be_v call_v the_o longitude_n of_o the_o sun_n which_o may_v be_v expanse_v into_o sign_n by_o reckon_v on_o the_o limb_n from_o the_o west_n to_o south_n ♈_o ♉_o ♊_o and_o from_o south_n to_o east_n ♋_o ♌_o ♍_o then_o back_o again_o from_o east_n to_o south_n ♒_o ♏_o ♐_o and_o last_o from_o south_n to_o west_n ♑_o ♒_o ♓_o allow_v 30_o degree_n for_o each_o of_o those_o twelve_o sign_n vi_o use_n to_o find_v the_o diurnal_a arch_n or_o circle_n of_o the_o sun_n course_n every_o day_n the_o sun_n every_o day_n by_o his_o motion_n as_o have_v be_v say_v describe_v a_o circle_n parallel_v to_o the_o aequinoctial_a which_o be_v either_o one_o of_o the_o circle_n in_o the_o instrument_n or_o somewhere_o between_o two_o of_o they_o first_o then_o seek_v 〈◊〉_d of_o the_o month_n and_o if_o it_o fall_v upon_o one_o of_o those_o 〈◊〉_d that_o be_v the_o circle_n of_o the_o sun_n course_n that_o same_o day_n but_o if_o it_o fall_v between_o any_o two_o of_o those_o parallel_n imagine_v in_o your_o mind_n and_o estimate_n with_o your_o eye_n another_o parallel_n through_o that_o point_n between_o those_o two_o parallel_n keep_v still_o the_o same_o distance_n from_o each_o of_o they_o as_o in_o the_o first_o of_o the_o three_o former_a example_n the_o circle_n of_o the_o sun_n course_n upon_o the_o 11_o day_n of_o august_n shall_v be_v the_o very_a sixth_o parallel_n above_o the_o aequinoctial_a towards_o the_o centre_n in_o example_n ii_o the_o circle_n of_o the_o sun_n course_n upon_o the_o 24_o day_n of_o march_n shall_v be_v a_o imaginary_a circle_n between_o the_o second_o and_o three_o parallel_n still_o keep_v a_o half_a of_o that_o space_n and_o one_o five_o part_n more_o of_o the_o rest_n from_o the_o second_o in_o example_n iii_o the_o circle_n of_o the_o sun_n course_n upon_o the_o 13_o day_n of_o november_n shall_v be_v a_o imaginary_a circle_n between_o the_o ten_o and_o eleaventh_o parallel_n below_o the_o aequinoctial_a still_o keep_v one_o quarter_n of_o that_o space_n from_o the_o ten_o vii_o use_v to_o find_v the_o rise_n and_o set_v of_o the_o sun_n every_o day_n seek_v out_o as_o be_v last_o show_v the_o imaginary_a circle_n or_o parallel_v of_o the_o sun_n course_n for_o that_o day_n and_o mark_v the_o point_n where_o it_o meet_v with_o the_o horizon_n both_o on_o the_o east_n and_o west_n side_n thereof_o for_o that_o be_v the_o very_a point_n of_o the_o sun_n rise_v and_o set_v that_o same_o day_n and_o the_o hour_n line_n which_o be_v on_o both_o side_n of_o it_o by_o proportion_v the_o distance_n reasonable_o according_a to_o 15_o minute_n for_o the_o quarter_n of_o the_o hour_n will_v show_v the_o hour_n of_o the_o sun_n rise_v on_o the_o east_n side_n and_o the_o sun_n set_v on_o the_o west_n side_n viii_o use_v to_o know_v the_o reason_n and_o manner_n of_o the_o increase_v and_o decrease_v of_o the_o day_n and_o night_n throughout_o the_o whole_a year_n when_o the_o sun_n be_v in_o the_o aequinoctial_a it_o rise_v and_o set_v at_o 6_o a_o clock_n for_o in_o the_o instrument_n the_o intersection_n of_o the_o aequinoctial_a and_o the_o ecliptic_a with_o the_o horizon_n be_v in_o the_o 6_o a_o clock_n circle_n on_o both_o side_n but_o if_o the_o sun_n be_v out_o of_o the_o aequinoctial_a decline_v towards_o the_o north_n the_o intersection_n of_o the_o parallel_n of_o the_o sun_n with_o the_o horizon_n be_v before_o 6_o in_o the_o morning_n and_o after_o 6_o in_o the_o evening_n and_o the_o diurnal_a arch_n of_o the_o sun_n great_a than_o 12_o hour_n and_o so_o much_o more_o great_a the_o great_a the_o northern_a declination_n be_v again_o if_o the_o sun_n be_v decline_v towards_o the_o south_n the_o intersection_n of_o the_o parallel_n of_o the_o sun_n with_o the_o horizon_n be_v after_o 6_o in_o the_o morning_n and_o before_o 6_o in_o the_o evening_n and_o the_o diurnal_a arch_n lesser_a than_o 12_o

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