Selected quad for the lemma: earth_n

Word A	Word B	Word C	Word D	Occurrence	Frequency Band	MI	MI Band	Prominent
earth_n	heaven_n	part_n	place_n	5,967	5	4.8033	4	true

Text snippets containing the quad

ID	Title	Author	Corrected Date of Publication (TCP Date of Publication)	STC	Words	Pages
A08349	A mathematicall apendix,[sic] containing many propositions and conclusions mathematicall: with necessary obseruations both for mariners at sea, and for cherographers and surueyors of land; together with an easie perspectiue mechanicall way, to deline at sunne dyalls vpon any wall or plane giuen, be it direct, inclyning, declyning, or reclyning, for the horizon, or meridian, in any region or place of knovvne latitude. With other things pleasant and profitable for the weale publick, not heretofore extant in our vulgar: partly collected out of foreigne moderne writers, and partlie inuented and practised by the author. Written by R.N. Gent.	Norton, Robert, d. 1635.	1604 (1604)	STC 18675; ESTC S119965	19,791	52

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proposition_n a_o comet_n or_o the_o moon_n appear_v to_o find_v the_o paralax_n or_o difference_n of_o aspect_n thereof_o and_o thereby_o the_o distance_n of_o the_o same_o above_o the_o centre_n or_o circumference_n of_o the_o earth_n be_v wh●●_n par●●●●_n be_v the_o paralax_n or_o difference_n of_o aspect_n according_a to_o the_o astronomer_n be_v a_o angle_n make_v of_o the_o concurrence_n of_o the_o visual_a line_n direct_o respect_v a_o celestial_a luminary_n and_o of_o the_o line_n of_o the_o true_a move_n which_o proceed_v from_o the_o centre_n of_o the_o earth_n pass_v by_o the_o centre_n of_o the_o same_o luminary_n unto_o the_o firmament_n the_o semidiametre_n of_o the_o earth_n be_v the_o sole_a efficient_a cause_n of_o such_o angles_n neither_o do_v such_o angle_n happen_v to_o every_o of_o the_o celestial_a luminary_n save_v only_o to_o such_o as_o be_v near_o unto_o the_o earth_n as_o the_o ☽_o ☿_o ♀_o and_o ☉_o and_o among_o they_o also_o those_o which_o be_v near_a 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equinoctial_a and_o the_o lesser_a arch_n substract_v from_o the_o great_a the_o remaynder_n be_v the_o paralax_n or_o difference_n of_o aspect_n seek_v although_o some_o perhaps_o will_v say_v here_o that_o the_o planet_n by_o reason_n of_o their_o excentricity_n and_o proper_a move_n do_v unequal_o move_v in_o respect_n of_o the_o primum_fw-la mobile_n which_o although_o i_o confess_v yet_o i_o say_v that_o in_o the_o space_n of_o time_n spend_v in_o the_o say_a observation_n the_o same_o be_v so_o insensible_o small_a as_o that_o it_o be_v absurd_a to_o make_v any_o scruple_n thereof_o another_o way_n to_o find_v the_o paralax_n first_o seek_v out_o of_o the_o astronomical_a table_n or_o otherwise_o the_o true_a place_n in_o the_o zodiac_n of_o the_o luminary_n you_o will_v observe_v for_o the_o time_n and_o meridian_n assign_v then_o examine_v the_o true_a place_n of_o some_o know_a fix_a star_n or_o one_o of_o the_o superior_a planet_n appear_v at_o that_o time_n above_o the_o horizon_n give_v thereby_o obtain_v the_o angle_n subtend_v the_o arch_n of_o the_o distance_n from_o one_o of_o those_o luminaryes_n to_o the_o other_o then_o take_v the_o visual_a distance_n by_o some_o exact_a mathematical_a instrument_n between_o the_o say_v two_o luminary_n which_o have_v and_o compare_v with_o the_o former_a so_o calculate_v the_o difference_n be_v the_o paralax_n of_o the_o say_v low_a planet_n or_o luminary_n for_o that_o instant_n the_o like_a may_v be_v perform_v by_o the_o sun_n at_o his_o rise_n or_o set_v be_v near_o the_o horizon_n and_o have_v some_o planet_n or_o notable_a fix_a star_n nigh_o unto_o he_o and_o here_o you_o may_v note_v that_o the_o paralax_n be_v always_o great_a near_o the_o horizon_n then_o be_v more_o elevate_v as_o also_o that_o the_o superior_a planet_n ♄_o ℞_o and_o ♂_o scant_v yield_v any_o sensible_a paralax_n by_o reason_n of_o the_o small_a quantity_n of_o the_o earth_n semidiametre_n in_o respect_n of_o their_o orbs._n to_o find_v the_o distance_n of_o any_o comet_n or_o planet_n above_o the_o earth_n then_o to_o find_v how_o far_o the_o say_a luminary_n be_v distant_a from_o the_o earth_n have_v describe_v the_o proportional_a tryangle_n aforesaid_a and_o have_v the_o measure_n of_o one_o of_o the_o side_n thereof_o give_v viz_n the_o semidiametre_n of_o the_o earth_n ak_v which_o according_a to_o most_o writer_n be_v 3436_o 4\11_n mile_n which_o measure_n i_o find_v to_o be_v 6._o time_n and_o a_o half_a contain_v in_o the_o side_n kc_n and_o therefore_o conclude_v the_o same_o to_o be_v distant_a from_o the_o centre_n of_o the_o earth_n 21477_o 2_o 11_o mile_n and_o from_o the_o surface_n of_o the_o earth_n 18041_o 1_o 11_o mile_n thus_o much_o be_v sufficient_a for_o the_o find_n of_o the_o paralax_n and_o distance_n of_o any_o celestial_a body_n have_v paralax_n from_o the_o centre_n or_o superficies_n of_o the_o earth_n the_o four_o proposition_n the_o paralax_n and_o distance_n of_o any_o star_n from_o the_o earth_n give_v to_o find_v the_o true_a angle_n it_o will_v make_v in_o the_o centre_n of_o the_o earth_n with_o any_o star_n that_o yield_v no_o paralax_n have_v take_v the_o paralax_n &_o so_o consequent_o as_o in_o the_o precedent_n the_o distance_n thereof_o from_o the_o centre_n or_o the_o earth_n and_o observe_v the_o visual_a angle_n by_o instrument_n which_o such_o a_o star_n shall_v make_v with_o any_o know_a star_n that_o yield_v no_o paralax_n you_o shall_v describe_v on_o a_o clean_a paper_n or_o slate_n a_o angle_n equal_a to_o the_o visual_a angle_n so_o find_v then_o draw_v a_o small_a circle_n represent_v the_o globe_n of_o the_o earth_n and_o describe_v one_o arch_n concentric_a with_o the_o same_o circle_n &_o so_o many_o semidiametres_fw-fr without_o the_o same_o as_o the_o say_a star_n or_o luminary_n yield_v paralax_n be_v distant_a from_o the_o earth_n and_o one_o other_o arch_n as_o much_o further_a distant_a again_o without_o that_o or_o more_o or_o less_o as_o you_o please_v which_o last_o describe_v arch_n shall_v represent_v unto_o you_o part_n of_o the_o firmament_n or_o heaven_n of_o fix_a star_n then_o draw_v a_o straight_a line_n from_o the_o centre_n unto_o the_o say_a outmost_a arch_n and_o let_v the_o place_n where_o the_o same_o line_n intersect_v the_o middle_a arch_n be_v the_o place_n of_o the_o star_n yield_v paralax_n then_o express_v the_o distance_n between_o the_o two_o star_n with_o a_o angle_n in_o such_o a_o part_n of_o the_o circumference_n of_o the_o small_a circle_n as_o the_o say_a angle_n be_v part_v in_o two_o with_o a_o obscure_a line_n the_o same_o line_n may_v fall_v in_o the_o point_n of_o the_o angle_n and_o make_v a_o square_a angle_n with_o the_o semidiametre_n of_o the_o small_a circle_n then_o the_o visual_a line_n and_o the_o line_n of_o the_o true_a place_n of_o the_o

they_o can_v practise_v to_o launch_v it_o into_o the_o water_n archimedes_n that_o excellent_a mathematician_n cause_v this_o engine_n to_o be_v frame_v whereby_o the_o king_n himself_o do_v with_o one_o hand_n lift_v up_o the_o say_a mighty_a vessel_n from_o the_o earth_n and_o set_v it_o into_o the_o sea_n which_o although_o many_o aswell_o historiographer_n as_o other_o have_v in_o their_o work_n mention_v yet_o none_o have_v hitherto_o set_v down_o the_o perfect_a frame_v thereof_o save_v only_o the_o learned_a besson_n who_o ha●●_n thus_o leave_v it_o unto_o posterity_n the_o tripaston_n for_o so_o 〈◊〉_d name_v it_o may_v be_v compose_v of_o as_o many_o wheel_n and_o screw_n to_o turn_v those_o wheel_n as_o you_o wi●●_n but_o of_o four_o of_o each_o at_o the_o least_o the_o first_o screw_n must_v have_v a_o handle_n to_o turn_v about_o like_o the_o handle_n of_o a_o handmyll_n or_o grind_v stone_n and_o so_o fit_v as_o be_v turn_v round_o it_o may_v also_o turn_v the_o first_o 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luminary_n paralax_n be_v the_o angle_n 〈…〉_o intersection_n of_o the_o line_n of_o the_o true_a place_n 〈…〉_o place_n thereof_o reckon_v in_o the_o firmament_n finis_fw-la fault_n escape_v in_o the_o original_a copy_n itself_o page_n 10._o in_o the_o line_n of_o the_o figure_n a_o c_o write_v g_o at_o the_o upper_a end_n of_o the_o arch_n d_o and_o at_o the_o star_n *_o write_v q._n and_o page_n 11._o line_n 10_o for_o as_o the_o arch_n e_o c_o do_v at_v e_o read_v as_o the_o arch_n b_o c_o do_v at_v b_o and_o in_o l._n 15_o for_o point_n e_o read_v point_n b_o and_o l._n 26_o for_o side_n a_o c_o on_o c_o read_v a_o q_o on_o q_n and_o 1._o 27_o for_o side_n a_o c_o at_o the_o point_n a_o read_v side_n a_o q_o at_o the_o point_n d._n and_o page_n 12._o l._n 1_o for_o the_o point_n a_o of_o the_o line_n a_o c_o read_v the_o point_n g_o of_o the_o line_n a_o qui_fw-fr and_o l._n 2_o for_o arch_n a_o d_o which_o will_v fall_v in_o e_o read_v arch_n g_o d_o which_o will_v fall_v in_o d_o l._n 3_o for_o from_o c_o read_v from_o q._n l._n 4._o for_o point_n e_o read_v point_n d_o l._n 6_o for_o angle_n a_o k_o c_o read_v a_o k_o q._n

a_o mathematical_a apendix_n contain_v many_o proposition_n and_o conclusion_n mathematical_a with_o necessary_a observation_n both_o for_o mariner_n at_o sea_n and_o for_o cherographer_n and_o surveyor_n of_o land_n together_o with_o a_o easy_a perspective_n mechanical_a way_n to_o delineat_a sun_n dial_n upon_o any_o wall_n or_o plane_n give_v be_v it_o direct_v incline_v decline_a or_o reclyne_v from_o the_o horizon_n or_o meridian_n in_o any_o region_n or_o place_n of_o know_v latitude_n with_o other_o thing_n pleasant_a and_o profitable_a for_o the_o weal_n public_a not_o heretofore_o extant_a in_o our_o vulgar_a partly_o colllect_v out_o of_o foreigne_a modern_a writer_n and_o partly_o invent_v and_o practise_v by_o the_o author_n write_a by_o r._n n._n gent._n london_n print_v by_o r._n b._n for_o roger_n jackson_n and_o be_v to_o be_v sell_v at_o his_o shop_n in_o fleet-strtet_a 〈…〉_o conduit_n 1604._o to_o the_o right_n honourable_a my_o singuler_n good_a lord_n and_o master_n 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the_o want_n of_o which_o be_v the_o great_a imperfection_n in_o the_o art_n of_o navigation_n take_v here_o in_o good_a part_n friendly_a reader_n these_o few_o proposition_n not_o heretofore_o write_v in_o this_o our_o vulgar_a contain_v partly_o collection_n which_o from_o sundry_a author_n in_o other_o language_n i_o have_v seek_v out_o and_o augment_v or_o abreviate_v for_o thy_o better_a use_n and_o partly_o practise_v observation_n which_o time_n &_o opportunity_n permit_v myself_o have_v experience_v both_o on_o sea_n &_o land_n request_v that_o with_o the_o friendly_a eye_n of_o judgement_n thou_o will_v consider_v they_o well_o before_o thou_o divulge_v any_o unaduised_a censure_n against_o they_o not_o doubt_v but_o every_o one_o that_o shall_v deign_v a_o due_a peruse_v hereof_o may_v find_v some_o thing_n worthy_a his_o bestow_v labour_n and_o so_o grey_v excuse_n if_o i_o seem_v to_o omit_v any_o necessary_a point_n in_o the_o premise_n which_o i_o may_v soon_o do_v in_o regard_n i_o much_o strive_v to_o avoid_v prolixity_n do_v hearty_o wish_v thou_o thy_o lawful_a desire_n and_o myself_o present_a to_o expound_v any_o thing_n that_o seem_v herein_o difficil_n refer_v my_o labour_n to_o your_o courteous_a favour_n ●end_n robert_n norton_n a_o table_n contain_v the_o conten'_v of_o the_o proposition_n of_o this_o book_n proposition_n 1._o how_o to_o find_v the_o longitude_n of_o place_n by_o the_o daily_a declination_n of_o the_o sun_n 2_o how_o to_o find_v the_o longitude_n by_o arch_n of_o great_a circle_n which_o pass_v by_o the_o centre_n of_o the_o fix_a star_n and_o planet_n that_o yield_v no_o sensible_a paralax_n or_o difference_n of_o aspect_n a_o corollary_n upon_o the_o same_o show_v to_o perform_v the_o same_o more_o exquisite_o by_o compare_v the_o planet_n one_o with_o a_o other_o another_o corollary_n upon_o the_o same_o consequence_n to_o find_v the_o longitude_n by_o compare_v the_o sun_n and_o moon_n be_v nigh_o conjunction_n and_o their_o

say_a star_n be_v extend_v to_o the_o utmost_a arch_n and_o a_o straight_a line_n draw_v from_o the_o intersect_n point_n which_o the_o line_n of_o the_o true_a place_n of_o the_o star_n that_o yield_v paralax_n make_v in_o the_o utmost_a arch_n unto_o the_o point_n of_o the_o visual_a angle_n in_o the_o circumference_n of_o the_o small_a circle_n it_o be_v certain_a that_o that_o line_n and_o the_o visual_a line_n which_o respect_v the_o fix_a star_n or_o star_n yield_v no_o paralax_n will_v by_o this_o mean_n frame_v a_o angle_n in_o the_o circumference_n of_o the_o small_a circle_n represent_v the_o earth_n equal_a to_o the_o angle_n which_o the_o say_v two_o star_n make_v at_o the_o instant_n of_o observation_n in_o the_o centre_n of_o the_o earth_n the_o five_o proposition_n to_o find_v the_o longitude_n of_o any_o place_n by_o a_o comet_n or_o the_o moon_n appear_v and_o the_o difference_n of_o time_n from_o one_o meridian_n to_o another_o first_o the_o obseruator_n who_o may_v 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fix_a star_n by_o reason_n of_o the_o swift_a motion_n of_o the_o planet_n then_o of_o the_o fix_a star_n the_o sixth_o proposition_n a_o star_n in_o heaven_n propound_v to_o find_v the_o longitude_n of_o place_n without_o the_o difference_n of_o tyme._n for_o performance_n of_o this_o proposition_n the_o representation_n of_o meridional_a plane_n only_o be_v necessary_o require_v wherefore_o for_o your_o better_a understanding_n hereof_o it_o will_v be_v here_o requisite_a to_o acquaint_v you_o with_o some_o of_o the_o delineation_n and_o use_n of_o the_o cosmodelite_n a_o instrument_n in_o this_o book_n hereafter_o describe_v which_o by_o reason_n of_o the_o several_a bend_n of_o the_o ear_n and_o semicircle_n thereof_o be_v very_o apt_a for_o the_o true_a representation_n as_o of_o any_o other_o circle_n or_o plane_n that_o be_v or_o can_v be_v imagine_v in_o the_o heaven_n so_o also_o of_o the_o meridian_n &_o meridional_a plane_n for_o have_v decline_v the_o instrument_n by_o the_o ear_n thereof_o until_o the_o line_n of_o 6._o be_v parallel_n to_o the_o axis_n of_o the_o world_n the_o extreme_n thereof_o direct_o respect_v the_o pole_n of_o the_o world_n and_o then_o cause_v the_o great_a circle_n to_o move_v circular_o upon_o the_o centre_n of_o the_o semicircle_n you_o shall_v perceive_v the_o same_o circle_n and_o the_o plane_n thereof_o in_o that_o motion_n to_o represent_v so_o many_o meridian_n and_o meridional_a plane_n as_o can_v be_v imagine_v in_o the_o world_n therefore_o if_o you_o first_o abstract_n the_o paralax_n of_o the_o moon_n or_o star_n and_o then_o extract_v out_o of_o astronomical_a table_n be_v calculate_v for_o a_o meridian_n give_v what_o angle_n the_o same_o will_v make_v with_o some_o of_o the_o other_o planet_n or_o fix_a star_n with_o which_o the_o say_a star_n or_o moon_n shall_v culminate_v or_o at_o once_o come_v to_o the_o assign_a meridian_n and_o shall_v also_o careful_o observe_v till_o you_o find_v by_o the_o great_a circle_n and_o index_n of_o the_o cosmodelite_n that_o they_o agree_v in_o angle_n with_o the_o angle_n calculate_v for_o they_o then_o shall_v the_o number_n of_o the_o degree_n contain_v between_o the_o fiducial_a line_n which_o intersect_v the_o semicircle_n and_o the_o end_n next_o to_o the_o same_o semicircle_n show_v the_o true_a number_n of_o degree_n and_o thereby_o the_o distance_n between_o the_o meridian_n for_o which_o the_o calculation_n of_o the_o table_n be_v make_v and_o the_o meridian_n of_o observation_n which_o number_n of_o degree_n be_v the_o true_a difference_n of_o their_o longitude_n etc._n etc._n so_o have_v the_o longitude_n of_o the_o one_o that_o of_o the_o other_o can_v not_o be_v unknown_a thus_o may_v the_o longitude_n be_v find_v by_o the_o moon_n or_o a_o comet_n and_o some_o other_o star_n give_v without_o the_o difference_n of_o time_n the_o seven_o proposition_n how_o to_o find_v the_o longitude_n and_o latitude_n at_o once_o by_o the_o celestial_a body_n without_o observe_v the_o difference_n of_o tyme._n forasmuch_o as_o many_o obseruor_n both_o on_o land_n and_o sea_n may_v at_o one_o instant_a time_n see_v certain_a of_o the_o planet_n in_o one_o same_o constitution_n and_o position_n to_o respect_v one_o a_o other_o be_v compare_v one_o to_o one_o or_o one_o of_o they_o with_o a_o fix_a star_n if_o therefore_o every_o one_o of_o they_o do_v observe_v the_o say_a star_n by_o the_o great_a circle_n of_o several_a cosmodelite_n incline_v according_a to_o the_o inclynation_n of_o the_o several_a plane_n which_o they_o will_v at_o one_o time_n be_v see_v to_o make_v to_o the_o eye_n of_o the_o several_a obseruator_n on_o their_o several_a orison_n it_o be_v certain_a that_o each_o of_o they_o shall_v find_v the_o inclination_n of_o the_o great_a circle_n of_o his_o cosmodelite_n represent_v the_o plane_n of_o the_o two_o star_n to_o differ_v from_o the_o inclination_n of_o all_o the_o rest_n whether_o they_o be_v situate_a under_o diverse_a paralelle_n or_o diverse_a meridian_n and_o then_o every_o of_o they_o apply_v on_o a_o globe_n the_o particular_a angle_n which_o his_o inclination_n make_v with_o the_o vertical_a line_n of_o his_o horizon_n it_o will_v be_v present_o find_v what_o longitude_n and_o latitude_n their_o several_a place_n have_v and_o consequent_o the_o proportional_a distance_n from_o one_o place_n of_o observation_n to_o another_o the_o eight_o proposition_n how_o to_o find_v the_o longitude_n mechanical_o &_o to_o describe_v all_o the_o notable_a place_n in_o a_o region_n or_o country_n on_o a_o map_n or_o plat_v according_a to_o their_o true_a situation_n and_o distance_n one_o from_o another_o to_o perform_v this_o proposition_n there_o must_v be_v first_o provide_v a_o kind_n of_o horselitter_n like_a to_o the_o figure_n follow_v have_v one_o wheel_n of_o such_o greatness_n as_o the_o horse_n travayl_v with_o the_o same_o it_o may_v light_o trample_v on_o the_o face_n of_o the_o earth_n and_o easy_o turn_v about_o always_o answer_v in_o his_o motion_n the_o swiftness_n or_o slowness_n of_o the_o horse_n pase_v this_o wheel_n must_v also_o move_v or_o turn_v about_o other_o wheel_n so_o frame_v as_o that_o with_o a_o index_n it_o may_v after_o the_o ordinary_a manner_n of_o common_a watch_n express_v when_o the_o say_v great_a wheel_n so_o trample_a shall_v have_v just_o measure_v a_o certain_a number_n of_o pase_n perche_n or_o furlong_n and_o their_o part_n in_o such_o sort_n as_o that_o the_o obseruator_fw-la in_o the_o hoslitter_n may_v ready_o find_v at_o any_o time_n by_o the_o same_o how_o many_o pase_n perche_n or_o furlong_n the_o say_a horselitter_n shall_v have_v pass_v over_o there_o must_v be_v also_o a_o perfect_a marine_a compass_n or_o else_o a_o large_a magnetical_a needle_n and_o fly_n hang_v in_o the_o same_o manner_n with_o circle_n of_o brass_n which_o i_o hold_v