Selected quad for the lemma: day_n

Word A	Word B	Word C	Word D	Occurrence	Frequency Band	MI	MI Band	Prominent
day_n	degree_n	london_n	longitude_n	4,344	5	13.6819	5	false

Text snippets containing the quad

ID	Title	Author	Corrected Date of Publication (TCP Date of Publication)	STC	Words	Pages
A05570	Nevves of the complement of the art of nauigation And of the mightie empire of Cataia. Together with the Straits of Anian. By A.L. The principall contents whereof follow in the next page.	Linton, Anthony.	1609 (1609)	STC 15692; ESTC S109469	21,513	47

will_v hear_v deliver_v some_o reason_n why_o i_o think_v so_o by_o the_o demonstration_n of_o this_o follow_a problem_n problem_n of_o two_o place_n give_v either_o under_o the_o equinoctial_a or_o under_o any_o one_o parallel_n of_o the_o world_n or_o not_o much_o different_a of_o which_o two_o place_n the_o longitude_n of_o one_o be_v know_v and_o the_o longitude_n of_o the_o other_o be_v not_o know_v by_o celestial_a observation_n to_o be_v make_v in_o convenient_a time_n and_o in_o that_o place_n of_o the_o twain_o who_o longitude_n be_v not_o know_v of_o the_o moon_n visible_a access_n unto_o the_o meridian_n of_o the_o same_o place_n to_o find_v out_o the_o difference_n of_o longitude_n between_o the_o say_v two_o give_v place_n and_o also_o the_o longitude_n of_o the_o other_o place_n at_o all_o such_o time_n without_o respect_n of_o any_o eclipse_n for_o the_o find_n of_o these_o premise_n you_o must_v consider_v that_o the_o moon_n be_v carry_v about_o the_o earth_n by_o the_o force_n of_o the_o primum_fw-la mobile_a from_o the_o meridian_n of_o any_o place_n pass_v within_o the_o space_n of_o 24._o hour_n and_o same_o 48._o minute_n of_o a_o hour_n little_o more_o or_o less_o over_o all_o the_o meridians_fw-la of_o the_o world_n which_o be_v the_o whole_a longitude_n of_o 360._o degree_n before_o she_o be_v bring_v again_o unto_o the_o meridian_n of_o the_o same_o place_n during_o which_o time_n of_o 24._o hour_n and_o 48._o minute_n quasi_fw-la she_o proceed_v forward_o in_o she_o own_o proper_a motion_n secundùm_fw-la successum_fw-la signorum_fw-la only_o the_o say_v 48._o minute_n quasi_fw-la otherwise_o she_o shall_v be_v bring_v unto_o the_o same_o meridian_n again_o in_o the_o space_n of_o 24._o hour_n as_o the_o sun_n be_v and_o hereby_o it_o be_v manifest_a that_o the_o great_a difference_n of_o longitude_n between_o any_o two_o place_n be_v always_o comprise_v within_o 48._o minute_n quasi_fw-la of_o the_o moon_n progress_n in_o her_o proper_a motion_n the_o diurnal_a revolation_n of_o 24._o hour_n be_v always_o whole_o reject_v this_o be_v so_o i_o say_v that_o only_o by_o these_o 48._o minute_n quasi_fw-la and_o a_o celestial_a observation_n to_o be_v make_v may_v be_v find_v both_o the_o difference_n of_o longitude_n between_o the_o two_o give_v place_n and_o also_o the_o longitude_n of_o that_o other_o place_n who_o longitude_n be_v not_o know_v for_o the_o minute_n of_o time_n which_o the_o moon_n spend_v in_o she_o own_o proper_a course_n during_o the_o time_n that_o she_o be_v carry_v by_o the_o violence_n of_o the_o heaven_n from_o the_o meridian_n of_o any_o one_o place_n until_o she_o be_v bring_v unto_o the_o same_o meridian_n again_o be_v give_v together_o with_o the_o minute_n of_o time_n which_o the_o moon_n in_o her_o own_o proper_a motion_n lose_v while_o she_o be_v carry_v from_o the_o meridian_n of_o the_o one_o place_n unto_o the_o meridian_n of_o the_o other_o place_n the_o former_a part_n of_o the_o problem_n viz._n the_o difference_n of_o longitude_n between_o the_o say_v two_o place_n may_v be_v find_v fiat_n enim_fw-la as_o the_o whole_a number_n of_o minute_n wherein_o the_o moon_n proceed_v in_o her_o proper_a motion_n during_o the_o time_n that_o she_o be_v carry_v from_o the_o meridian_n of_o that_o give_v place_n who_o longitude_n be_v know_v until_o she_o be_v bring_v thither_o again_o which_o whole_a number_n of_o minute_n be_v always_o 48._o quasi_fw-la be_v in_o proportion_n unto_o the_o whole_a longitude_n of_o 360._o degree_n so_o be_v the_o number_n of_o the_o minute_n wherein_o the_o moon_n proceed_v in_o her_o proper_a motion_n while_o she_o be_v carry_v from_o the_o meridian_n of_o either_o of_o the_o give_v place_n right_o apply_v to_o the_o meridian_n of_o the_o other_o place_n unto_o the_o difference_n of_o longitude_n between_o the_o say_v two_o give_v place_n the_o most_o convenient_a time_n for_o observation_n be_v in_o a_o fair_a calm_a starry_a night_n and_o especial_o when_o the_o moon_n shall_v be_v in_o or_o near_o either_o of_o the_o tropique_n the_o manner_n of_o proceed_v in_o this_o work_n be_v thus_o first_o in_o the_o place_n of_o observation_n find_v the_o true_a meridian_n line_n precise_o and_o observe_v the_o moon_n until_o you_o see_v her_o centre_n direct_o in_o the_o same_o meridian_n and_o at_o that_o very_a moment_n of_o time_n by_o the_o height_n of_o some_o fix_a star_n take_v or_o otherwise_o find_v out_o the_o true_a hour_n and_o minute_n of_o the_o night_n second_o by_o most_o exact_a table_n make_v or_o to_o be_v make_v deliver_v the_o true_a hour_n and_o minute_n wherein_o the_o moon_n in_o her_o apparent_a motion_n come_v every_o day_n to_o the_o meridian_n of_o that_o give_v place_n who_o longitude_n be_v know_v find_v out_o the_o number_n of_o minute_n of_o time_n which_o the_o moon_n accomplish_v while_o she_o be_v carry_v from_o the_o meridian_n of_o that_o give_v place_n until_o she_o come_v thither_o again_o and_o this_o number_n be_v always_o the_o first_o in_o the_o rule_n of_o proportion_n as_o the_o whole_a longitude_n of_o 360._o degree_n be_v always_o the_o second_o three_o by_o the_o same_o table_n seek_v out_o the_o hour_n and_o minute_n of_o time_n wherein_o the_o moon_n be_v last_o or_o shall_v be_v next_o respect_v the_o time_n of_o your_o observation_n in_o the_o meridian_n of_o that_o place_n who_o longitude_n be_v know_v be_v also_o the_o place_n for_o which_o the_o table_n be_v or_o shall_v be_v compose_v four_o compare_v the_o hour_n and_o minute_n of_o time_n find_v by_o observation_n and_o the_o hour_n and_o minute_n of_o time_n find_v by_o the_o table_n and_o so_o shall_v you_o have_v the_o difference_n of_o time_n which_o be_v always_o the_o three_o number_n in_o the_o rule_n of_o proportion_n have_v therefore_o your_o three_o number_n proceed_v according_a to_o the_o nature_n of_o the_o work_n and_o your_o quotient_n shall_v be_v the_o difference_n of_o longitude_n between_o the_o two_o give_v place_n which_o be_v the_o thing_n first_o to_o be_v find_v the_o latter_a part_n of_o the_o problem_n may_v thus_o be_v find_v this_o difference_n be_v find_v must_v either_o be_v add_v unto_o the_o longitude_n of_o the_o place_n give_v or_o subtract_v from_o the_o same_o or_o else_o be_v subtract_v from_o the_o whole_a longitude_n as_o the_o work_n require_v and_o so_o also_o shall_v be_v have_v the_o longitude_n of_o the_o second_o place_n where_o the_o observation_n be_v make_v which_o be_v secondlie_o to_o be_v find_v out_o example_n 1._o the_o difference_n of_o longitude_n between_o london_n and_o the_o grand_a bay_n in_o newfound_a land_n suppose_v to_o be_v in_o the_o same_o latitude_n be_v thus_o find_v upon_o the_o 13._o day_n of_o february_n 1607._o after_o the_o old_a stile_n the_o moon_n suppose_v be_v find_v in_o her_o apparent_a motion_n to_o be_v in_o the_o meridian_n of_o london_n at_o 11._o of_o the_o clock_n at_o night_n by_o the_o table_n of_o her_o daily_a approach_n to_o that_o meridian_n and_o that_o she_o shall_v be_v there_o again_o the_o next_o night_n at_o 11._o of_o the_o clock_n and_o 48._o minute_n the_o very_a same_o night_n by_o observation_n make_v at_o the_o say_v grand_a bay_n the_o moon_n be_v see_v in_o the_o meridian_n there_o at_o 10._o of_o the_o clock_n at_o night_n and_o 50._o minute_n so_o that_o from_o the_o time_n that_o she_o have_v be_v in_o the_o meridian_n of_o london_n unto_o the_o time_n that_o she_o come_v unto_o the_o meridian_n of_o the_o grand_a bay_n she_o have_v proceed_v forward_o in_o she_o own_o proper_a motion_n 9_o minute_n of_o time_n therefore_o by_o the_o rule_n of_o proportion_n if_o 48._o minute_n of_o time_n give_v 360._o degree_n of_o longitude_n what_o shall_v 9_o minute_n of_o time_n give_v it_o be_v answer_v in_o the_o quotient_a gr_fw-fr 67._o m_o 30._o the_o degree_n of_o the_o difference_n of_o longitude_n between_o the_o say_v two_o place_n which_o be_v first_o to_o be_v find_v if_o from_o this_o number_n you_o subtract_v the_o longitude_n of_o london_n gr_n 23._o m._n 30._o the_o remainder_n be_v gr_n 44._o m.o._n subduct_v they_o from_o 360._o the_o whole_a longitude_n and_o the_o remander_n will_v be_v 316._o degree_n be_v the_o longitude_n of_o the_o grand_a bay_n which_o be_v second_o to_o be_v find_v out_o example_n 2._o suppose_v that_o the_o city_n of_o london_n and_o moscowe_n be_v in_o the_o same_o parallel_n now_o the_o difference_n of_o longitude_n between_o they_o be_v thus_o find_v out_o upon_o the_o 22._o day_n of_o december_n after_o the_o old_a stile_n anno_fw-la 1607._o the_o moon_n in_o her_o apparent_a motion_n be_v find_v by_o table_n in_o the_o meridian_n of_o london_n at_o 2._o of_o the_o clock_n after_o midnight_n and_o the_o minute_n of_o her_o

progress_n in_o that_o whole_a revolution_n of_o longitude_n be_v 48._o also_o at_o moskowe_n that_o very_o same_o night_n she_o be_v see_v by_o observation_n there_o at_o 1._o of_o the_o clock_n and_o 52._o minute_n after_o midnight_n so_o that_o she_o be_v yet_o to_o proceed_v in_o she_o own_o proper_a motion_n 8._o minute_n of_o time_n before_o she_o shall_v come_v again_o to_o the_o meridian_n of_o london_n therefore_o if_o 48._o minute_n of_o time_n give_v 360._o degree_n of_o longitude_n what_o shall_v 8._o minute_n give_v it_o be_v answer_v 60._o which_o be_v the_o difference_n of_o longitude_n between_o the_o say_a city_n the_o thing_n first_o to_o be_v find_v this_o do_v add_v these_o 60._o degree_n unto_o the_o longitude_n of_o london_n viz._n gr_n 23._o m._n 30._o the_o product_n will_v be_v gr_n 83._o m._n 30._o the_o longitude_n of_o moskowe_n which_o be_v secondlie_o to_o be_v find_v there_o be_v no_o doubt_n but_o the_o longitud_n may_v be_v find_v this_o way_n for_o first_o the_o meridian_n line_n may_v precise_o be_v have_v by_o observation_n and_o second_o so_o may_v the_o hour_n and_o minute_n of_o time_n the_o hour_n be_v 15._o degree_n of_o a_o great_a circle_n and_o the_o minute_n of_o a_o hour_n of_o 15._o minute_n of_o a_o degree_n and_o yet_o the_o elevation_n of_o the_o pole_n and_o altitude_n of_o the_o celestial_a light_n be_v find_v out_o even_o unto_o one_o of_o those_o minute_n of_o a_o degree_n and_o less_o and_o therefore_o one_o minute_n of_o time_n be_v 15._o of_o they_o may_v also_o be_v find_v for_o in_o a_o instrument_n the_o semidiameter_n of_o who_o equinoctial_a circle_n shall_v be_v 6._o foot_n one_o minute_n of_o time_n shall_v be_v almost_o one_o three_o of_o a_o inch_n and_o the_o semidiameter_n be_v three_o foot_n one_o minute_n of_o time_n shall_v be_v one_o six_o part_n of_o a_o inch_n almost_o three_o table_n also_o may_v be_v have_v deliver_v exact_o the_o hour_n and_o minute_n wherein_o the_o moon_n in_o her_o apparent_a motion_n come_v every_o day_n to_o the_o meridian_n of_o that_o place_n for_o which_o the_o table_n be_v or_o be_v to_o be_v make_v for_o indeed_o all_o these_o three_o thing_n have_v in_o former_a time_n be_v have_v otherwise_o there_o can_v have_v be_v at_o this_o day_n no_o theoriques_n of_o the_o planet_n or_o table_n of_o the_o celestial_a motion_n among_o us._n this_o way_n also_o of_o find_v the_o longitude_n be_v sufficient_a good_a and_o may_v come_v often_o into_o practice_n because_o the_o proportion_n of_o 48._o minute_n of_o time_n or_o thereabouts_o which_o make_v some_o 12._o degree_n and_o 30._o minute_n quasi_fw-la of_o a_o great_a circle_n be_v sufficient_o great_a to_o the_o whole_a longitude_n of_o 360._o degree_n for_o if_o 48._o minute_n of_o time_n give_v 360._o degree_n of_o longitude_n then_o shall_v 24._o give_v 180._o degree_n and_o 12._o shall_v give_v 90._o degree_n and_o 6._o shall_v give_v 45._o degree_n and_o 3._o shall_v give_v 21._o degree_n and_o a_o half_a and_o 1._o minute_n shall_v give_v 7._o degree_n and_o a_o half_a etc._n etc._n and_o the_o difference_n of_o longitude_n in_o any_o one_o parallel_n that_o shall_v be_v less_o than_o 7._o degree_n and_o a_o half_a may_v otherwise_o be_v find_v out_o these_o former_a being_n first_o have_v moreover_o it_o be_v certain_a that_o in_o place_n of_o diverse_a latitud_n yea_o even_o in_o one_o and_o the_o same_o meridian_n and_o therefore_o much_o more_o in_o diverse_a the_o moon_n parallax_n in_o longitude_n do_v not_o happen_v in_o one_o and_o the_o same_o moment_n of_o time_n neither_o be_v of_o one_o and_o the_o same_o magnitude_n but_o in_o some_o place_n they_o happen_v soon_o in_o some_o place_n late_a in_o some_o place_n they_o be_v great_a and_o in_o some_o place_n they_o be_v lesser_a the_o reconcile_n of_o which_o difference_n especial_o in_o place_n of_o diverse_a meridian_n and_o latitude_n breed_v much_o combrance_n and_o difficulty_n even_o to_o the_o skilful_a mathemat_n in_o seek_v the_o longitude_n without_o eclipse_n but_o by_o this_o take_n of_o two_o place_n under_o the_o equinoctial_a or_o under_o the_o same_o parallel_n all_o sensible_a difference_n that_o may_v happen_v in_o 12._o hour_n and_o a_o half_a either_o in_o the_o time_n or_o in_o the_o magnitude_n of_o the_o parallax_n with_o all_o encumbrance_n and_o impediment_n follow_v the_o same_o be_v sufficient_o avoid_v whereby_o it_o be_v evident_a that_o at_o all_o time_n fit_a for_o observation_n whensoever_o the_o moon_n may_v beseene_v in_o the_o meridian_n of_o the_o place_n of_o observation_n which_o doubtless_o be_v very_o often_o so_o that_o a_o ship_n need_v not_o stay_v long_o in_o any_o port_n for_o the_o same_o so_o often_o the_o longitude_n of_o that_o place_n may_v be_v find_v especial_o if_o the_o give_v place_n have_v great_a difference_n of_o longitude_n but_o in_o this_o work_n great_a regard_n must_v be_v have_v that_o the_o instrument_n which_o be_v use_v for_o the_o same_o be_v apt_a and_o large_a and_o very_o good_a and_o with_o great_a diligence_n and_o exactness_n manage_v and_o if_o the_o longitude_n of_o some_o few_o place_n be_v either_o thus_o or_o rather_o by_o eclipse_n find_v as_o of_o ternate_a japon_n macao_n bantam_n or_o malacca_n goa_n aden_n mozambique_n cape_n de_fw-fr bona_fw-la esperanza_n cap._n verde_v fernambuco_n the_o strait_n of_o magellan_n panama_n california_n virginea_fw-la cap._n raso_n tercera_n bergen_n in_o norway_n colmogro_n moscua_n astracan_n and_o tripoli_n in_o syria_n etc._n etc._n which_o may_v easy_o be_v do_v either_o by_o the_o navigator_n resort_v unto_o they_o or_o by_o other_o learned_a christian_n inhabit_v there_o i_o believe_v that_o the_o world_n geography_n and_o the_o art_n of_o navigation_n will_v thereby_o be_v much_o amend_v there_o be_v yet_o another_o way_n to_o find_v sometime_o the_o longitude_n of_o such_o place_n as_o be_v under_o either_o of_o the_o tropique_n or_o between_o they_o as_o certain_o as_o by_o eclipse_n viz._n in_o the_o very_a moment_n of_o time_n when_o the_o moon_n shall_v be_v see_v in_o the_o zenith_n for_o then_o she_o have_v in_o the_o place_n of_o observation_n no_o parallax_n of_o longitude_n or_o very_o near_o unto_o the_o zenith_n and_o the_o better_a she_o be_v near_o unto_o either_o of_o the_o tropique_n and_o in_o the_o meridian_n find_v out_o by_o one_o observation_n the_o hour_n and_o minute_n of_o time_n and_o by_o another_o observation_n at_o the_o same_o moment_n find_v by_o the_o staff_n the_o distance_n between_o the_o centre_n of_o the_o moon_n &_o some_o notable_a fix_a star_n in_o or_o near_o unto_o the_o eccliptique_fw-la then_o second_o gather_v by_o the_o magnitude_n of_o the_o moon_n diurnal_a motion_n secundum_fw-la successum_fw-la signorum_fw-la which_o you_o may_v find_v by_o the_o ephemerides_n for_o that_o day_n the_o hour_n and_o minute_n of_o time_n of_o her_o last_o or_o next_o conjunction_n with_o the_o same_o fix_a star_n three_o by_o the_o help_n of_o the_o same_o time_n of_o conjunction_n collect_v also_o by_o supputation_n the_o hour_n and_o minute_n of_o time_n wherein_o the_o moon_n shall_v be_v next_o or_o be_v last_o in_o the_o point_n of_o ☌_o or_o ☍_o or_o other_o aspect_n with_o the_o sun_n all_o which_o serve_v for_o that_o place_n of_o observation_n wherein_o the_o moon_n be_v see_v in_o the_o zenith_n and_o four_o compare_v this_o time_n of_o ☌_o or_o ☍_o or_o other_o aspect_n so_o find_v with_o the_o time_n of_o the_o ☌_o or_o ☍_o or_o other_o aspect_n which_o you_o shall_v find_v in_o the_o ephemerides_n for_o that_o day_n also_o and_o belong_v unto_o the_o radical_a place_n of_o the_o say_a ephemerides_n and_o the_o difference_n of_o those_o two_o time_n in_o hour_n and_o minute_n will_v give_v the_o difference_n of_o longitude_n between_o the_o place_n where_o the_o observation_n be_v make_v and_o the_o radical_a place_n of_o the_o ephemerides_n very_o sufficient_o thus_o i_o hope_v i_o have_v show_v sufficient_a reason_n why_o i_o think_v the_o longitude_n may_v be_v find_v by_o celestial_a observation_n without_o respect_n of_o any_o eclipse_n and_o therefore_o also_o have_v clear_v myself_o from_o the_o gentleman_n imputation_n in_o this_o behalf_n and_o withal_o give_v you_o some_o hope_n of_o the_o certainty_n of_o this_o my_o promise_a complement_n wherein_o some_o thing_n stand_v upon_o the_o observation_n relation_n and_o credible_a concur_v testimony_n of_o approve_a author_n and_o general_o receive_v opinion_n and_o these_o be_v of_o sufficient_a warrantise_n until_o they_o be_v disprove_v and_o some_o thing_n be_v from_o these_o former_a conclude_v by_o mathematical_a demonstration_n which_o seldom_o fail_v and_o therefore_o these_o humour_n of_o preiudication_n may_v perceive_v that_o it_o be_v better_a and_o more_o commendable_a to_o