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	hour_n	longitude_n	5,383	5	13.5790	5	false

Text snippets containing the quad

ID	Title	Author	Corrected Date of Publication (TCP Date of Publication)	STC	Words	Pages
A08584	An addition vnto the vse of the instrument called the circles of proportion, for the working of nauticall questions Together with certaine necessary considerations and advertisements touching navigation. All which, as also the former rules concerning this instrument are to bee wrought not onely instrumentally, but with the penne, by arithmeticke, and the canon of triangles. Hereunto is also annexed the excellent vse of two rulers for calculation. And is to follow after the 111 page of the first part.	Oughtred, William, 1575-1660.	1633 (1633)	STC 18899C; ESTC S105819	39,288	79

a_o addition_n unto_o the_o use_n of_o the_o instrument_n call_v the_o circle_n of_o proportion_n for_o the_o work_v of_o nautical_a question_n together_o with_o certain_a necessary_a consideration_n and_o advertisement_n touch_v navigation_n all_o which_o as_o also_o the_o former_a rule_n concern_v this_o instrument_n be_v to_o be_v wrought_v not_o only_o instrumental_o but_o with_o the_o pen_n by_o arithmetic_n and_o the_o canon_n of_o triangle_n hereunto_o be_v also_o annex_v the_o excellent_a use_n of_o two_o ruler_n for_o calculation_n and_o be_v to_o follow_v after_o the_o 111_o page_n of_o the_o first_o part._n london_n print_v by_o augustine_n mathewes_n 1633._o of_o navigation_n chap._n i._n certain_a general_a advertisement_n concern_v the_o use_n of_o this_o instrument_n together_o with_o the_o description_n of_o such_o circle_n as_o be_v new_o add_v thereto_o serve_v for_o navigation_n when_o i_o pen_v the_o rule_n which_o have_v be_v chapter_n the_o first_o part_n of_o this_o chapter_n former_o set_v out_o to_o show_v the_o use_n of_o this_o instrument_n i_o be_v careful_a to_o do_v it_o with_o as_o much_o plainness_n and_o perspicuity_n as_o may_v be_v in_o a_o subject_n not_o as_o yet_o obvious_a to_o vulgar_a knowledge_n so_o that_o any_o one_o but_o moderate_o exercise_v in_o arithmetic_n and_o geometry_n may_v as_o i_o conceive_v apprehend_v the_o work_n and_o practice_n teach_v therein_o but_o be_v since_o certify_v that_o some_o few_o difficulty_n seem_v or_o indeed_o rather_o be_v fear_v to_o be_v in_o the_o manner_n of_o the_o delivery_n of_o those_o rule_n i_o think_v it_o will_v not_o be_v impertinent_a and_o alien_n from_o this_o present_a purpose_n if_o in_o the_o very_a beginning_n i_o shall_v endeavour_v to_o explain_v such_o doubt_n for_o the_o satisfaction_n of_o any_o that_o shall_v stick_v thereat_o the_o scruple_n which_o chief_o seem_v to_o cause_v their_o difficulty_n be_v these_o two_o first_o that_o the_o part_n or_o 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conceive_v the_o nature_n of_o decimall_n fraction_n let_v we_o imagine_v a_o line_n either_o straight_o or_o circular_a of_o any_o length_n be_v it_o a_o foot_n or_o a_o yard_n or_o one_o degree_n or_o many_o or_o else_o a_o hour_n or_o a_o day_n or_o any_o other_o continuity_n this_o be_v consider_v in_o itself_o entire_a and_o undivided_a be_v a_o unite_v or_o one_o whole_a thing_n of_o that_o kind_n as_o one_o foot_n one_o degree_n one_o hour_n etc._n etc._n then_o imagine_v that_o unite_v or_o whole_a to_o be_v divide_v to_o 10_o equal_a part_n that_o whole_a shall_v be_v 10._o again_o imagine_v every_o one_o of_o those_o ten_o part_n to_o be_v subdivide_v into_o 10_o the_o whole_a shall_v be_v 100_o and_o each_o first_o division_n shall_v be_v 10_o and_o these_o second_o division_n shall_v be_v hundred_v part_n three_o imagine_v every_o one_o of_o those_o hundred_o part_n subdivide_v into_o 10_o the_o whole_a shall_v be_v 1000_o and_o each_o first_o division_n shall_v be_v 100_o and_o each_o second_o division_n shall_v be_v 10_o and_o these_o three_o division_n shall_v be_v thousanth_n part_n and_o so_o proceed_v in_o this_o decimall_n subdivision_n you_o may_v in_o your_o imagination_n divide_v the_o unite_v or_o whole_a into_o ten-thousanth_a part_n and_o hundred-thousanth_a part_n and_o million_v part_n and_o so_o infinite_o and_o so_o that_o segment_n which_o in_o the_o first_o division_n be_v 10_o 20_o 30_o etc._n etc._n shall_v in_o the_o second_o division_n be_v 100_o 200_o 300_o etc._n etc._n and_o in_o the_o three_o division_n 1000_o 2000_o 3000_o etc._n etc._n as_o for_o example_n 3_o 30_o be_v 30_o 100_o or_o 300_o 1000_o or_o 3000_o 10000_o and_o 45_o 1000_o be_v 450_o 1000_o or_o 4500_o 10000_o and_o 374_o 1000_o be_v 3740_o 10000_o or_o 37400_o 100000_o etc._n etc._n hence_o follow_v that_o you_o may_v increase_v the_o numerator_n of_o any_o decimall_n fraction_n by_o put_v thereto_o as_o many_o cypher_n or_o circle_n as_o you_o please_v without_o alter_v the_o quantity_n thereof_o so_o that_o also_o you_o join_v so_o many_o cypher_n to_o the_o denominator_fw-la now_o therefore_o a_o decimall_n fraction_n be_v that_o which_o have_v for_o his_o denominator_fw-la the_o figure_n 1_o with_o one_o or_o more_o circle_n after_o it_o as_o 10_o 100_o 1000_o etc._n etc._n and_o see_v the_o use_n of_o the_o denominator_fw-la in_o a_o fraction_n be_v to_o show_v into_o how_o many_o such_o part_n the_o whole_a or_o unite_v be_v divide_v if_o otherwise_o by_o any_o convenient_a sign_n the_o denominator_fw-la may_v easy_o and_o certain_o be_v know_v by_o the_o numerator_n only_o it_o will_v be_v a_o needless_a labour_n still_o to_o set_v it_o down_o the_o most_o fit_a and_o convenient_a sign_n to_o know_v the_o denominator_fw-la of_o a_o decimall_n fraction_n be_v by_o a_o separate_a line_n for_o if_o the_o number_n mix_v of_o integer_n and_o part_n be_v write_v together_o in_o one_o rank_n with_o a_o small_a rectangular_a line_n draw_v next_o after_o the_o unite_v place_n cut_v off_o the_o part_n from_o the_o integer_n the_o number_n of_o figure_n or_o place_n in_o the_o part_n so_o cut_v off_o shall_v show_v how_o many_o circle_n or_o cypher_n be_v to_o be_v set_v after_o 1_o in_o the_o denominator_fw-la as_o for_o example_n 3700_o ⌊_o 6_o be_v all_o one_o with_o 37006_o 10_o that_o be_v 3700_o vnit_n and_o six_o ten_o part_n again_o 370_o ⌊_o 06_o be_v all_o one_o with_o 370_o 6_o 100_o because_o after_o the_o separate_a line_n follow_v two_o figure_n 06._o likewise_o 37_o ⌊_o 006_o be_v all_o one_o with_o 37_o 6_o 1000_o because_o three_o figure_n 006_o follow_v the_o separate_a line_n also_o 3_o ⌊_o 7006_o be_v all_o one_o with_o 3_o 7006_o 10000_o and_o 0_o ⌊_o 37006_o be_v all_o one_o with_o 37006_o 100000_o that_o be_v not_o unite_v at_o all_o but_o that_o fraction_n only_o and_o 0_o ⌊_o 037006_o be_v all_o one_o with_o 37006_o 1000000_o because_o after_o the_o separate_a line_n be_v six_o place_n of_o figurss_n 037006._o by_o all_o which_o diversity_n of_o place_v the_o separate_a line_n it_o be_v apparent_a that_o the_o number_n of_o circle_n in_o the_o denominator_fw-la of_o any_o decimall_n fraction_n must_v be_v equal_a to_o the_o number_n of_o place_n of_o figure_n follow_v the_o separate_a line_n wherefore_o though_o there_o be_v no_o unite_v but_o that_o it_o be_v a_o pure_a fraction_n yet_o it_o will_v be_v convenient_a to_o note_v the_o unite_v place_n with_o a_o circle_n before_o the_o separate_a line_n that_o so_o the_o value_n of_o the_o fraction_n through_o the_o number_n of_o place_n therein_o may_v more_o plain_o appear_v and_o beside_o that_o the_o set_n of_o decimall_n part_n thus_o in_o one_o line_n with_o the_o integer_n have_v more_o concinnity_n and_o neatness_n with_o it_o then_o either_o with_o a_o denominator_fw-la or_o by_o note_v as_o some_o have_v do_v with_o small_a figure_n the_o prime_n second_o three_o and_o the_o rest_n these_o fraction_n both_o mix_v and_o pure_a be_v ready_a without_o any_o further_a reduction_n for_o any_o arithmetical_a operation_n for_o in_o addition_n and_o subduction_n the_o number_n give_v be_v fit_v together_o by_o their_o separate_a line_n have_v the_o like_a place_n or_o degree_n set_v under_o one_o another_o each_o in_o their_o own_o file_n may_v be_v add_v or_o subduct_v in_o the_o very_a same_o manner_n as_o if_o they_o be_v all_o whole_a number_n and_o in_o multiplication_n the_o number_n give_v be_v multiply_v one_o by_o the_o other_o according_a to_o the_o usual_a manner_n of_o whole_a number_n the_o product_n find_v cut_v shall_v have_v so_o many_o place_n of_o part_n as_o be_v in_o both_o the_o number_n multiply_v and_o in_o division_n the_o ordinary_a manner_n of_o whole_a number_n be_v to_o be_v use_v only_o remember_v that_o every_o figure_n of_o the_o quotient_n shall_v be_v

at_o the_o same_o open_n shall_v cut_v 48_o ⌊_o 3_o deg_fw-la which_o be_v the_o lesser_a latitude_n seek_v for_o and_o if_o the_o two_o latitude_n be_v in_o the_o several_a hemisphaere_n that_o be_v one_o northern_a and_o the_o other_o southern_a the_o manner_n of_o work_v differ_v in_o effect_n but_o little_a from_o the_o former_a as_o if_o the_o sum_n of_o the_o secant_v between_o these_o two_o height_n of_o the_o pole_n viz._n 6_o ⌊_o 5_o on_o the_o north_n side_n of_o the_o aequinoctial_a and_o 13_o ⌊_o 4_o on_o the_o south_n side_n be_v desire_v set_a one_o arm_n of_o the_o index_n on_o the_o line_n of_o the_o radius_fw-la and_o the_o other_o arm_n on_o either_o of_o the_o latitude_n give_v suppose_v on_o 6_o ⌊_o 5._o then_o bring_v that_o arm_n on_o 6_o ⌊_o 5_o unto_o the_o line_n of_o the_o radius_fw-la and_o where_o the_o other_o arm_n at_o that_o open_n chance_v to_o light_v there_o hold_v it_o fast_o and_o open_v the_o arm_n that_o stand_v on_o the_o line_n of_o the_o radius_fw-la unto_o the_o other_o latitude_n 13_o ⌊_o 4._o afterward_o bring_v the_o arm_n that_o stand_v on_o the_o former_a latitude_n 6_o ⌊_o 5_o unto_o the_o line_n of_o the_o radius_fw-la and_o the_o other_o arm_n at_o the_o same_o open_n shall_v in_o the_o five_o circle_n cut_v 20_o ⌊_o 037_o the_o sum_n of_o secant_v seek_v for_o last_o the_o sum_n of_o all_o the_o secant_v between_o two_o latitude_n of_o which_o one_o be_v on_o the_o north_n side_n of_o the_o aequinoctial_a and_o the_o other_o on_o the_o south_n side_n be_v give_v together_o with_o one_o of_o the_o latitude_n to_o find_v the_o other_o latitude_n as_o if_o the_o sum_n of_o the_o secant_v be_v 20_o ⌊_o 037_o and_o the_o latitude_n degr_n 6_o ⌊_o 5._o set_a one_o of_o the_o arm_n of_o the_o index_n at_o the_o line_n of_o the_o radius_fw-la &_o open_v the_o other_o arm_n unto_o 20_o ⌊_o 037_o in_o the_o five_o circle_n &_o keep_v the_o same_o aperture_n bring_v the_o arm_n that_o stand_v on_o the_o line_n of_o the_o radius_fw-la unto_o the_o latitude_n 6_o ⌊_o 5_o and_o the_o other_o arm_n shall_v show_v 13_o ⌊_o 4_o the_o other_o latitude_n seek_v for_o or_o else_o peradventure_o you_o may_v more_o easy_o find_v out_o the_o sum_n of_o the_o secant_v between_o any_o two_o latitude_n give_v thus_o set_v the_o edge_n of_o the_o index_n upon_o one_o of_o the_o latitude_n and_o look_v what_o division_n it_o cut_v in_o the_o five_o circle_n keep_v it_o in_o mind_n again_o set_v the_o edge_n of_o the_o index_n upon_o one_o of_o the_o latitude_n and_o look_v what_o division_n it_o cut_v in_o the_o five_o circle_n keep_v that_o in_o mind_n also_o these_o two_o number_n keep_v in_o mind_n be_v the_o sum_n of_o the_o secant_v for_o the_o two_o latitude_n give_v and_o be_v to_o be_v subduct_v one_o out_o of_o the_o other_o if_o the_o latitude_n be_v both_o in_o the_o same_o hemisphere_n or_o else_o to_o be_v add_v together_o if_o the_o latitude_n be_v in_o diverse_a hemisphaere_n also_o in_o like_a manner_n the_o sum_n of_o the_o secant_v and_o one_o of_o the_o latitude_n be_v give_v you_o may_v find_v out_o the_o other_o latitude_n thus_o set_v the_o edge_n of_o the_o index_n upon_o the_o latitude_n give_v and_o look_v what_o division_n it_o cut_v in_o the_o five_o circle_n to_o this_o number_n add_v the_o sum_n of_o the_o secant_v if_o the_o lesser_a of_o the_o two_o latitude_n be_v give_v or_o else_o out_o of_o it_o subduct_v the_o sum_n of_o the_o secant_v if_o the_o great_a of_o the_o two_o latitude_n be_v give_v but_o if_o the_o two_o latitude_n be_v in_o the_o contrary_a hemisphaere_n the_o number_n find_v in_o the_o five_o circle_n be_v to_o be_v subduct_v out_o of_o the_o sum_n of_o the_o secant_v and_o so_o shall_v you_o have_v the_o other_o latitude_n chap._n ii_o of_o the_o latitude_n and_o longitude_n of_o place_n in_o genetall_n and_o of_o keep_v the_o account_n of_o time_n at_o sea_n the_o care_n and_o skill_n of_o the_o perfect_a seaman_n be_v to_o guide_v the_o ship_n at_o sea_n unto_o any_o port_n that_o shall_v be_v desire_v which_o can_v be_v do_v unless_o he_o be_v able_a to_o find_v out_o in_o in_o what_o place_n the_o ship_n be_v at_o any_o time_n the_o place_n of_o the_o ship_n at_o sea_n be_v estimate_v and_o understand_v by_o compare_v it_o with_o any_o know_a place_n that_o be_v how_o much_o the_o same_o be_v situate_v from_o the_o place_n where_o the_o ship_n be_v either_o towards_o the_o north_n or_o south_n which_o be_v call_v the_o difference_n of_o latitude_n or_o else_o towards_o the_o east_n or_o west_n which_o be_v call_v the_o difference_n of_o longitude_n for_o it_o be_v once_o know_v how_o far_o any_o place_n upon_o the_o globe_n of_o the_o earth_n be_v wide_a of_o the_o aequinoctial_a unto_o either_o pole_n and_o also_o how_o far_o the_o meridian_n of_o the_o same_o be_v distant_a from_o the_o meridian_n of_o any_o know_a place_n the_o true_a situation_n thereof_o be_v say_v to_o be_v have_v the_o latitude_n or_o distance_n of_o the_o place_n wherein_o the_o ship_n be_v from_o the_o aequinoctial_a which_o be_v all_o one_o with_o the_o height_n of_o the_o pole_n there_o be_v take_v by_o observation_n of_o the_o meridional_a altitude_n either_o of_o the_o sun_n by_o day_n or_o of_o any_o star_n by_o night_n as_o be_v not_o unknown_a to_o almost_o every_o common_a mariner_n or_o also_o by_o the_o 47_o proposition_n of_o the_o 12_o chapter_n of_o the_o first_o part._n and_o therefore_o be_v so_o vulgar_o know_v and_o teach_v of_o most_o that_o write_v of_o navigation_n i_o shall_v not_o need_v to_o spend_v time_n about_o it_o especial_o my_o intent_n here_o be_v to_o teach_v the_o use_n of_o my_o instrument_n only_o in_o trace_v the_o ship_n course_n the_o longitude_n of_o the_o place_n wherein_o the_o ship_n be_v that_o be_v the_o easterly_a or_o westerly_a distance_n of_o the_o ship_n from_o the_o place_n whence_o the_o voyage_n begin_v be_v the_o difficulty_n and_o masterpiece_n of_o nautical_a science_n which_o have_v set_v on_o work_v the_o wit_n and_o invention_n of_o many_o man_n proceed_v therein_o on_o diverse_a ground_n for_o some_o have_v labour_v to_o find_v the_o reason_n thereof_o by_o the_o variation_n of_o the_o magnetical_a needle_n suppose_v certain_a pole_n or_o point_n unto_o which_o the_o end_n of_o the_o needle_n do_v in_o all_o place_n exact_o respect_n but_o beside_o that_o the_o meridian_n be_v difficult_o to_o be_v have_v with_o sufficient_a preciseness_n especial_o at_o sea_n where_o the_o chief_a use_n of_o longitude_n be_v the_o conceit_n be_v only_o imaginary_a without_o the_o warrant_n of_o any_o natural_a principle_n some_o consider_v the_o swifnesse_n of_o the_o motion_n of_o the_o moon_n which_o be_v every_o day_n above_o 13_o degree_n have_v suppose_v that_o either_o by_o the_o true_a place_n of_o the_o moon_n to_o be_v observe_v by_o exact_a instrument_n or_o else_o by_o the_o moment_n of_o the_o moon_n come_v into_o the_o meridian_n the_o longitude_n may_v be_v obtain_v but_o neither_o the_o true_a motion_n of_o the_o moon_n be_v so_o exact_o know_v nor_o observation_n can_v at_o sea_n be_v so_o precise_o make_v that_o any_o certain_a truth_n in_o so_o subtle_a a_o business_n may_v be_v argue_v thereby_o some_o have_v think_v to_o observe_v the_o longitude_n with_o automata_fw-la or_o artificial_a motion_n of_o long_a continuance_n but_o not_o without_o great_a error_n and_o hallucination_n some_o by_o sandglass_n or_o waterglass_n but_o both_o oblioxious_a to_o the_o diverse_a alteration_n and_o temperature_n of_o the_o air_n and_o climate_n wherein_o they_o be_v especial_o that_o of_o sand_n the_o other_o by_o water_n be_v more_o probable_a wherein_o i_o shall_v in_o my_o judgement_n prefer_v some_o chemical_a spirit_n or_o liquor_n because_o it_o be_v not_o so_o subject_a to_o the_o impression_n of_o the_o air_n and_o that_o there_o shall_v be_v three_o glass_n use_v one_o to_o run_v and_o two_o to_o receive_v successive_o that_o which_o run_v to_o be_v open_a above_o to_o pour_v in_o the_o liquor_n and_o to_o let_v in_o the_o air_n that_o the_o issue_n of_o the_o water_n be_v not_o hinder_v for_o want_v of_o air_n to_o supply_v the_o vacuity_n the_o receiver_n to_o be_v cylindricall_a with_o mark_n set_v on_o the_o outside_n distinguish_v hour_n and_o part_n and_o that_o there_o be_v two_o of_o they_o that_o when_o the_o liquor_n be_v come_v to_o the_o just_a height_n another_o may_v instant_o be_v substitute_v without_o loss_n of_o any_o liquor_n or_o time_n this_o manner_n of_o observe_v the_o time_n be_v in_o my_o opinion_n the_o most_o likely_a of_o any_o that_o i_o know_v in_o use_n to_o conduce_v