Selected quad for the lemma: heaven_n

Word A	Word B	Word C	Word D	Occurrence	Frequency Band	MI	MI Band	Prominent
heaven_n	east_n	motion_n	west_n	1,864	5	9.5519	5	false

Text snippets containing the quad

ID	Title	Author	Corrected Date of Publication (TCP Date of Publication)	STC	Words	Pages
A80170	Navigation by the mariners plain scale new plain'd: or, A treatise of geometrical and arithmetical navigation; wherein sayling is performed in all the three kindes by a right line, and a circle divided into equal parts. Containing 1. New ways of keeping of a reckoning, or platting of a traverse, both upon the plain and mercators chart ... 2. New rules for estimating the ships way through currents, and for correcting the dead reckoning. 3. The refutation of divers errors, and of the plain chart, and how to remove the error committed thereby ... as also a table thereof made to every other centesm. 4. A new easie method of calculation for great circle-sayling, with new projections, schemes and charts ... 5. Arithmetical navigation, or navigation performed by the pen, if tables were wanting ... By John Collins of London, Pen-man, accomptant, philomathet.	Collins, John, 1625-1683.	1659 (1659)	Wing C5378A; Thomason E1002_1; ESTC R207824	177,819	300

a_o parallel_n of_o altitude_n call_v a_o almicanterath_n the_o prick_v arch_n z_o ⊙_o and_o z_o g_o k_o be_v ellipse_n represent_v the_o azimuth_n or_o vertical_a circle_n and_o the_o other_o prick_v arch_n represent_v meridans_n or_o hour_n circle_n which_o be_v also_o ellipse_n the_o draw_v whereof_o will_v be_v troublesome_a and_o therefore_o be_v not_o mention_v and_o how_o to_o shun_v they_o in_o the_o resolution_n of_o any_o proposition_n of_o the_o sphere_n by_o chord_n shall_v afterward_o be_v show_v any_o line_n draw_v parallel_n to_o ae_n e_o as_o be_v f_z p_o f_o d_o r_o q_o will_v represent_v parallel_n of_o declination_n and_o any_o line_n draw_v parallel_n to_o f_o y_fw-fr will_v represent_v a_o parallel_n of_o latitude_n in_o the_o heaven_n five_o divers_a arch_n relate_v to_o the_o sun_n motion_n such_o as_o be_v common_o find_v by_o rhe_n globe_n or_o calculation_n be_v in_o the_o same_o scheme_n represent_v in_o right_a line_n 1._o the_o sun_n amplitude_n or_o coast_n of_o rise_v and_o set_v from_o the_o east_n or_o west_n be_v there_o represent_v c_o w_n in_o north_n sign_n and_o by_o c_o g_o in_o south_n sign_n 2._o his_o ascensional_a difference_n or_o time_n of_o rise_v from_o six_o in_o summer_n by_o g_z w_o in_o winter_n by_o g_o h._n 3._o his_o altitude_n at_o six_o in_o summer_n by_o h_n c_o his_o depression_n at_o six_o in_o winter_n by_o c_o b._n 4._o his_o azimuth_n at_o the_o hour_n of_o six_o by_o h_n g_o in_o summer_n equal_a to_o h_z b_o in_o winter_n 5._o his_o vertical_a altitude_n or_o altitude_n of_o east_n and_o west_n by_o ay_o c_o his_o depression_n therein_o in_o winter_n by_o c_o q._n 6._o his_o hour_n from_o six_o be_v east_n or_o west_n in_o summer_n by_o g_z ay_o in_o winter_n by_o h_z q._n 7._o his_o azimuth_n from_o the_o east_n and_o west_n upon_o any_o altitude_n be_v represent_v in_o the_o parallel_n of_o altitude_n where_o it_o intersect_v the_o parallel_n of_o declination_n here_o by_o m_n ⊙_o 8._o the_o 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table_n chap._n iii_o show_v how_o to_o know_v upon_o what_o day_n of_o the_o week_n any_o day_n of_o any_o month_n happen_v upon_o for_o ever_o 1_o to_o perform_v this_o proposition_n there_o must_v be_v a_o general_a rule_n prescribe_v to_o find_v on_o what_o day_n of_o the_o week_n the_o first_o of_o march_n will_v happen_v upon_o for_o ever_o which_o take_v in_o the_o follow_a verse_n to_o number_v two_o add_v year_n of_o our_o lord_n god_n and_o a_o four_o part_n thereof_o neglect_v the_o odd_a remainder_n if_o such_o be_v the_o sum_n divide_v by_o seven_o lay_v your_o quotient_n aside_o the_o rest_n when_o your_o division_n finish_v will_v number_n show_v day_n of_o the_o week_n you_o need_v on_o which_o the_o first_o of_o march_n do_v chance_n to_o be_v still_o count_v lord_n day_n first_o if_o you_o do_v see_v that_o nothing_o do_v remain_v than_o you_o may_v say_v the_o day_n your_o seek_n the_o seven_o and_o satur_n day_n example_n let_v it_o be_v require_v to_o find_v on_o 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instrument_n to_o be_v cut_v in_o brass_n with_o paper_n print_v fit_v up_o for_o sale_n which_o will_v be_v of_o excellent_a use_n to_o seaman_n surveyor_n and_o all_o that_o be_v mathematical_o studious_a i_o remain_v thy_o friend_n desirous_a of_o the_o advancement_n of_o knowledge_n john_n collins_n the_o content_n a_o double_a scale_n of_o chord_n use_v in_o this_o book_n and_o describe_v page_z 1_o 2._o spherical_a definition_n from_o page_n 2_o to_o 9_o all_o the_o point_n ark_n and_o circle_n define_v represent_v to_o the_o view_n in_o a_o scheme_n of_o the_o analemma_n p._n 10_o to_o 14_o a_o general_a almanac_n in_o two_o verse_n p._n 15_o the_o manner_n of_o measure_v and_o proportion_v out_o sin_n by_o a_o line_n of_o chord_n p._n 18_o 19_o a_o general_a rule_n in_o two_o verse_n for_o find_v the_o sun_n place_n 21_o to_o find_v the_o sun_n declination_n and_o right_a ascension_n 23_o 24_o to_o find_v the_o sun_n amplitude_n height_n at_o six_o vertical_a height_n time_n 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which_o be_v common_o draw_v upon_o any_o globe_n or_o sphere_n beside_o divers_a other_o circle_n which_o be_v not_o delineate_v but_o only_o apprehend_v in_o the_o fancy_n the_o point_n be_v the_o two_o pole_n of_o the_o world_n the_o two_o pole_n of_o the_o zodiac_n the_o two_o equinoctial_a point_n the_o two_o solstitial_a point_n and_o the_o zenith_n and_o nadir_n the_o pole_n of_o the_o world_n be_v two_o point_n which_o be_v diametrical_o or_o direct_o opposite_a to_o one_o another_o about_o which_o the_o whole_a frame_n of_o heaven_n move_v from_o the_o east_n into_o the_o west_n whereof_o one_o be_v perpetual_o see_v by_o we_o and_o be_v call_v the_o arctic_a or_o north_n pole_n the_o other_o be_v hide_v from_o we_o and_o direct_o opposite_a to_o the_o former_a be_v call_v the_o antarctick_a or_o south_n pole_n a_o right_a line_n imagine_v to_o be_v draw_v from_o the_o one_o pole_n to_o the_o other_o be_v call_v the_o axis_n or_o axletree_n of_o the_o world_n the_o axis_n differ_v from_o the_o diameter_n because_o that_o every_o right_a line_n draw_v through_o the_o centre_n of_o the_o sphere_n and_o limit_v on_o each_o side_n of_o the_o surface_n of_o the_o sphere_n be_v a_o diameter_n but_o not_o a_o axis_n unless_o the_o sphere_n move_v round_o about_o it_o the_o pole_n of_o the_o zodiac_n be_v two_o point_n diametrical_o opposite_a upon_o which_o the_o heaven_n move_v from_o the_o west_n into_o the_o east_n one_o of_o they_o be_v towards_o the_o north_n distant_a from_o the_o arctic_a or_o north_n pole_n 23_o degree_n 31_o minute_n the_o other_o be_v towards_o the_o south_n and_o be_v as_o much_o distant_a from_o the_o south_n pole_n a_o degree_n be_v the_o 360_o part_n of_o any_o whole_a circle_n and_o a_o minute_n be_v the_o 60_o part_n of_o a_o degree_n but_o of_o late_a some_o divide_v a_o degree_n into_o 100_o part_n which_o be_v call_v centesme_n or_o centesimal_a minute_n in_o define_v some_o of_o the_o point_n we_o must_v refer_v to_o circle_n afterward_o to_o be_v define_v the_o equinoctial_a point_n be_v in_o the_o beginning_n of_o aries_n and_o libra_n to_o which_o when_o the_o sun_n come_v he_o make_v the_o day_n and_o night_n of_o a_o equal_a length_n throughout_o the_o whole_a world_n to_o wit_n in_o the_o begin_n of_o aries_n about_o the_o 11_o of_o march_n which_o be_v account_v the_o beginning_n of_o the_o spring_n and_o in_o the_o begin_n of_o libra_n about_o the_o 13_o of_o september_n which_o be_v the_o begin_n of_o autumn_n the_o point_n of_o the_o summer_n solstice_n be_v in_o the_o begin_n of_o cancer_n to_o which_o when_o the_o sun_n come_v as_o about_o the_o 12_o of_o june_n be_v the_o begin_n of_o summer_n and_o the_o long_a day_n in_o the_o year_n the_o point_n of_o the_o winter_n solstice_n be_v

in_o the_o begin_n of_o capricorn_n to_o which_o when_o the_o sun_n come_v as_o about_o the_o 11_o of_o december_n be_v the_o short_a day_n in_o the_o year_n and_o in_o the_o astronomical_a account_n the_o beginning_n of_o winter_n the_o zenith_n be_v a_o imaginary_a point_n in_o the_o heaven_n right_a over_o our_o head_n 90_o from_o the_o horizon_n the_o nadir_n be_v a_o point_n or_o prick_v in_o the_o heaven_n under_o our_o foot_n opposite_a to_o the_o zenith_n of_o the_o circle_n of_o the_o sphere_n the_o 10_o circle_n be_v the_o horizon_n the_o meridian_n the_o equinoctial_a the_o zodiac_n the_o colour_n of_o the_o equinox_n the_o colour_n of_o the_o solstice_n the_o tropic_a of_o cancer_n the_o tropic_a of_o capricorn_n and_o the_o two_o polar_a circle_n the_o first_o six_o be_v call_v great_a circle_n and_o the_o other_o four_o lesser_a circle_n by_o the_o centre_n of_o a_o circle_n be_v mean_v a_o point_n or_o prick_v in_o the_o middle_n of_o the_o circle_n from_o whence_o all_o line_n draw_v to_o the_o circumference_n be_v equal_a and_o be_v know_v by_o the_o name_n of_o radius_fw-la resemble_v the_o speak_v of_o a_o cartwheel_n that_o be_v say_v to_o be_v a_o great_a circle_n which_o have_v the_o same_o centre_n as_o the_o sphere_n and_o divide_v it_o into_o two_o equal_a half_n call_v hemisphere_n and_o that_o be_v call_v a_o lesser_a circle_n which_o have_v a_o different_a centre_n from_o the_o centre_n of_o the_o sphere_n and_o divide_v the_o sphere_n into_o two_o unequal_a portion_n or_o segment_n 1._o of_o the_o horizon_n the_o horizon_n be_v distinguish_v by_o the_o name_n of_o rational_a or_o sensible_a the_o rational_a horizon_n be_v a_o great_a circle_n every_o where_o equidistant_a from_o the_o zenith_n and_o divide_v the_o upper_a hemisphere_n from_o the_o low_a and_o by_o accident_n or_o chance_n be_v distinguish_v by_o the_o name_n of_o a_o right_n oblique_a and_o parallel_a horizon_n a_o right_a horizon_n be_v such_o a_o horizon_n as_o pass_v through_o each_o pole_n of_o the_o world_n and_o cut_v the_o equinoctial_a at_o right_a angle_n whence_o the_o inhabitant_n under_o the_o equinoctial_a be_v say_v to_o have_v a_o right_a horizon_n and_o a_o right_a sphere_n a_o oblique_a horizon_n be_v such_o a_o one_o as_o cut_v the_o equinoctial_a oblique_o or_o aslope_o a_o parallel_n horizon_n be_v not_o such_o a_o one_o as_o cut_v the_o equinoctial_a but_o be_v coincident_a and_o be_v the_o same_o therewith_o and_o such_o be_v the_o horizon_n under_o the_o pole_n the_o sensible_a horizon_n be_v a_o circle_n divide_v that_o part_n of_o the_o heaven_n which_o we_o see_v from_o that_o part_n which_o see_v not_o thence_o call_v finitor_n from_o the_o accidental_a situation_n of_o the_o horizon_n follow_v many_o consequence_n 1._o those_o that_o live_v in_o a_o right_a horizon_n that_o be_v under_o the_o equinoctial_a have_v their_o day_n and_o night_n always_o of_o a_o equal_a length_n to_o they_o all_o the_o star_n both_o rise_n and_o set_v twice_o in_o a_o year_n the_o sun_n pass_v through_o their_o zenith_n consequent_o they_o have_v two_o summer_n and_o two_o winter_n to_o wit_n summer_n when_o the_o sun_n pass_v through_o their_o zenith_n and_o winter_n when_o he_o be_v in_o or_o near_o the_o tropic_n 2._o in_o any_o right_a or_o oblique_a sphere_n the_o length_n of_o the_o day_n when_o the_o sun_n be_v in_o the_o equinoctial_a be_v equal_a to_o the_o length_n of_o the_o night_n 3._o in_o any_o oblique_a sphere_n the_o near_a the_o sun_n approach_v to_o the_o visible_a pole_n the_o long_a be_v the_o day_n more_o than_o the_o night_n some_o star_n always_o appear_v other_o never_o appear_v and_o the_o more_o remote_a from_o the_o equinoctial_a the_o great_a be_v the_o number_n of_o such_o star_n and_o the_o more_o inequality_n be_v there_o between_o the_o day_n and_o night_n 4._o to_o those_o that_o live_v under_o the_o polar_a circle_n their_o day_n once_o a_o year_n be_v 24_o hour_n long_o and_o their_o night_n nothing_o 5._o under_o the_o pole_n one_o half_a of_o the_o sphere_n do_v always_o appear_v and_o the_o other_o half_o not_o appear_v and_o one_o half_a of_o the_o year_n be_v well_o nigh_o continual_o day_n and_o the_o other_o half_o continual_o night_n because_o the_o equinoctial_a lie_n in_o the_o horizon_n it_o be_v say_v well_o nigh_o for_o by_o reason_n of_o the_o sun_n excentricity_n the_o day_n under_o the_o north_n pole_n be_v long_a than_o the_o night_n about_o eight_o day_n and_o on_o the_o contrary_a under_o the_o south_n pole_n be_v short_a than_o the_o night_n as_o many_o day_n 2._o of_o the_o meridian_n the_o meridian_n be_v a_o great_a circle_n which_o pass_v through_o the_o pole_n of_o the_o world_n the_o zenith_n and_o nadir_n and_o the_o north_n and_o south_n point_v of_o the_o horizon_n and_o be_v so_o call_v because_o that_o at_o all_o time_n and_o place_n when_o the_o sun_n by_o his_o daily_a motion_n come_v unto_o that_o circle_n twice_o every_o 24_o hour_n make_v the_o middle_a of_o the_o day_n and_o middle_n of_o the_o night_n all_o place_n that_o lie_v under_o the_o same_o meridian_n bear_v north_n and_o south_n but_o place_n that_o lie_v east_n and_o west_n from_o one_o another_o have_v each_o of_o they_o a_o several_a meridian_n 3._o of_o the_o equinoctial_a it_o be_v a_o great_a circle_n imagine_v in_o the_o heaven_n divide_v they_o into_o two_o equal_a part_n or_o half_n call_v the_o north_n and_o south_n hemisphere_n lie_v just_a in_o the_o middle_n between_o the_o two_o pole_n be_v every_o where_o equi-distant_a from_o they_o and_o be_v call_v the_o equator_fw-la because_o when_o the_o sun_n come_v unto_o it_o which_o be_v twice_o in_o the_o year_n at_o his_o entrance_n into_o aries_n and_o libra_n the_o day_n and_o night_n be_v of_o a_o equal_a length_n throughout_o the_o whole_a world_n 4._o of_o the_o zodiac_n the_o zodiac_n alius_fw-la signifer_fw-la be_v another_o great_a circle_n that_o divide_v the_o equinoctial_a into_o two_o equal_a part_n the_o point_n of_o intersection_n be_v call_v aries_n and_o libra_n the_o one_o half_a of_o it_o do_v decline_v into_o the_o north_n the_o other_o half_o into_o the_o south_n as_o much_o as_o the_o pole_n thereof_o be_v distant_a from_o the_o pole_n of_o the_o world_n namely_o 23_o 31′_n and_o likewise_o pass_v through_o the_o two_o solstitial_a point_n it_o be_v ordinary_a breadth_n or_o latitude_n be_v 12_o degree_n but_o late_a writer_n make_v it_o 14_o or_o 16_o by_o reason_n of_o the_o wander_n of_o mars_n and_o venus_n a_o line_n divide_v the_o breadth_n thereof_o into_o two_o half_n be_v call_v the_o ecliptic_a line_n because_o the_o eclipse_n of_o the_o sun_n and_o moon_n be_v always_o under_o that_o line_n it_o be_v circumference_n be_v divide_v into_o 12_o part_n call_v the_o 12_o sign_n whereof_o each_o contain_v 30d._o the_o name_n and_o character_n of_o the_o 12_o sign_n be_v aries_n ♈_o taurus_n ♉_o gemini_fw-la ♊_o cancer_n ♋_o leo_n ♌_o virgo_fw-la ♍_o libra_n ♎_o scorpius_n ♏_o sagittarius_fw-la ♐_o capricornus_fw-la ♑_o aquarius_n ♒_o pisces_fw-la ♓_o the_o six_o former_a be_v the_o northern_a and_o the_o six_o latter_a the_o southern_a sign_n of_o the_o colour_n these_o be_v two_o great_a circle_n and_o be_v no_o other_o than_o two_o meridian_n pass_v through_o both_o the_o pole_n of_o the_o world_n cross_v one_o another_o therein_o at_o right_a angle_n and_o divide_v the_o equinoctial_a and_o the_o zodiac_n into_o four_o equal_a part_n make_v thereby_o the_o four_o season_n of_o the_o year_n the_o colour_n of_o the_o equinox_n be_v so_o call_v because_o it_o pass_v through_o the_o equinoctial_a point_n of_o aries_n and_o libra_n show_v thereby_o the_o beginning_n of_o the_o spring_n and_o autumn_n when_o the_o day_n and_o night_n be_v equal_a the_o other_o colour_n pass_v through_o the_o two_o solstitial_a or_o tropical_a point_n of_o cancer_n and_o capricorn_n show_v the_o beginning_n of_o the_o summer_n and_o winter_n at_o which_o two_o time_n the_o day_n be_v long_a and_o short_a the_o very_a beginning_n of_o cancer_n where_o the_o colour_n cross_v the_o ecliptic_a line_n be_v call_v the_o point_n of_o the_o summer_n solstice_n to_o which_o place_n when_o the_o sun_n come_v he_o can_v approach_v no_o near_o the_o zenith_n but_o return_v towards_o the_o equinoctial_a again_o the_o arch_n of_o the_o meridian_n or_o colour_n contain_v betwixt_o the_o summer_n solstice_n and_o the_o equator_fw-la be_v call_v the_o great_a declination_n of_o the_o sun_n of_o the_o four_o lesser_a circle_n the_o tropic_n be_v two_o lesser_a circle_n parallel_n to_o the_o equinoctial_a limit_v the_o sun_n great_a declination_n towards_o both_o the_o pole_n that_o towards_o the_o north_n pole_n be_v call_v the_o tropic_a of_o cancer_n because_o the_o