Selected quad for the lemma: end_n

Word A	Word B	Word C	Word D	Occurrence	Frequency Band	MI	MI Band	Prominent
end_n	angle_n	equal_a	line_n	1,594	5	9.8090	5	false

Text snippets containing the quad

ID	Title	Author	Corrected Date of Publication (TCP Date of Publication)	STC	Words	Pages
A44885	A learned treatise of globes, both cœlestiall and terrestriall with their several uses / written first in Latine, by Mr. Robert Hues, and by him so published ; afterward illustrated with notes by Jo. Isa. Pontanus ; and now lastly made English ... by John Chilmead ...; Tractatus de globis et eorum usu. English	Hues, Robert, 1553-1632.; Chilmead, Edmund, 1610-1654.; Pontanus, Johannes Isacius, 1571-1639.; Molyneux, Emery.	1659 (1659)	Wing H3298; ESTC R1097	145,949	311

foot_n 〈◊〉_d diameter_n that_o so_o it_o may_v in_o some_o rea●…nable_a manner_n admit_v the_o description_n of_o particu●…r_a place_n but_o this_o bulk_n be_v too_o vast_a to_o be_v ●…nveniently_o deal_v withal_o and_o in_o this_o regard_n 〈◊〉_d think_v that_o those_o globe_n of_o which_o i_o intend_v 〈◊〉_d speak_v in_o this_o ensue_a discourse_n may_v just_o be_v perfer_v before_o all_o other_o that_o have_v been●…_n set_v forth_o before_o they_o as_o be_v more_o capacious_a than_o any_o other_o for_o they_o be_v in_o diameter_n two_o foot_n and_o two_o inch_n whereas_o mercator_n globe_n which_o be_v big_a than_o any_o other_o ever_o set_v forth_o before_o he_o be_v scarce_o sixteen_o inch_n diameter_n the_o proportion_n therefore_o of_o the_o superficies_n of_o these_o globe_n to_o mercator_n will_v be_v as_o 1._o to_o 2●…_n and_o somewhat_o more_o every_o country_n therefore_o in_o those_o globe_n will_v be_v above_o twice_o as_o large_a as_o it_o be_v in_o mercator_n so_o that_o 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the_o ●…mperiall_a castle_n and_o show_v among_o other_o ●…arities_n there_o about_o the_o horizon_n be_v read_v thes●…_n word_n write_v in_o letter_n of_o gold_n anno_fw-la a_o christo_fw-la nato_fw-la m._n d._n xxciv_n regnante_fw-la in_o dania_n frederico_n secundo_fw-la hunc_fw-la coelesti_fw-la machinae_fw-la conformem_fw-la globum_fw-la in_fw-la quo_fw-la affi●…a_fw-la octavae_fw-la sphaerae_fw-la sidera_fw-la c●…litùs_fw-la organis_fw-la deprehensa_fw-la suis_fw-la quaeque_fw-la locis_fw-la ad_fw-la amussim_fw-la repraesentare_fw-la errant●…úmque_fw-la stellarum_fw-la per_fw-la haec_fw-la apparentias_fw-la perpervestigare_fw-la decrevit_fw-la coelo_fw-la terrigenis_fw-la qui_fw-la rationem_fw-la eam_fw-la capiunt_fw-la mechanico_fw-la opere_fw-la patefacto_fw-la tycho_n brahe_n o._n f._n sibi_fw-la &_o posteris_fw-la f._n f._n which_o globe_n by_o reason_n of_o i●…s_n extraordinary_a magnitude_n have_v this_o prerogative_n above_o all_o other_o that_o all_o thing_n may_v be_v 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that_o which_o be_v comprehend_v under_o more_o than_o two_o plain_a angle_n which_o be_v not_o in_o the_o same_o superficies_n and_o meeting_n all_o in_o one_o point_n as_o be_v the_o angle_n of_o a_o cube_n or_o die_v rhombus_fw-la be_v a_o figure_n quadrangular_a have_v equal_a side_n but_o not_o equal_a angle_n rhomboide_n be_v a_o figure_n have_v neither_o equal_a side_n nor_o equal_a angle_n yet_o the_o opposite_a side_n and_o angle_n be_v equal_a a_o solid_a body_n be_v that_o which_o have_v length_n breadth_n and_o thickness_n as_o a_o cube_n or_o die_n and_o the_o limit_n or_o extreme_n of_o it_o be_v superficies_n the_o axis_n be_v that_o diameter_n above_o which_o the_o sphere_n or_o globe_n be_v turn_v the_o pole_n of_o a_o sphere_n be_v the_o extreme_n or_o end_n of_o the_o diameter_n and_o be_v terminate_v in_o the_o superficies_n of_o the_o sphere_n a_o sphere_n be_v define_v by_o euclid_n to_o be_v when_o the_o diameter_n of_o a_o semicircle_n remain_v fix_v the_o 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that_o by_o mean_n of_o the_o same_o the_o doctrine_n of_o the_o true_a motion_n of_o the_o celestial_a body_n may_v the_o more_o easy_o be_v apprehend_v and_o what_o be_v say_v of_o the_o aequator_fw-la zodiaque_fw-la axe_n and_o the_o other_o circle_n be_v also_o to_o be_v understand_v of_o the_o other_o orb_n themselves_o and_o their_o hypothesis_n for_o as_o concern_v the_o objection_n make_v long_o since_o by_o rhoeticus_fw-la and_o late_o by_o peter_n ramus_n lib._n 2._o schol._n math._n touch_v the_o facility_n the_o ancient_a egyptians_n have_v in_o search_n ing_z out_o the_o course_n of_o the_o star_n i_o think_v it_o not_o amiss_o to_o let_v you_o see_v what_o the_o noble_a tycho_n opinion_n be_v herein_o and_o what_o answer_n he_o once_o upon_o occasion_n give_v ramus_n himself_o propose_v the_o same_o unto_o he_o as_o we_o find_v it_o relate_v by_o himself_o in_o his_o book_n of_o astronomical_a epistle_n pag._n 60._o and_o thus_o it_o be_v quod_fw-la celeberrimus_fw-la ille_fw-la noltri_fw-la aevi_fw-la philosophus_fw-la petus_n ramus_n etc._n etc._n where_o as_o that_o famous_a philosopher_n of_o our_o time_n peter_n ramus_n be_v of_o opinion_n that_o the_o science_n of_o astronomy_n may_v be_v frame_v by_o some_o certain_a logical_a way_n of_o computation_n with_o hypothesis_n this_o be_v nothing_o else_o but_o a_o mere_a groundless_a conjecture_n which_o con●…eit_n of_o he_o he_o propose_v indeed_o to_o i_o about_o sixteen_o ●…eares_n since_o when_o as_o we_o be_v together_o at_o au●…purge_n wish_v i_o withal_o that_o when_o as_o i_o have_v ●…nce_o reduce_v the_o course_n of_o the_o star_n into_o some_o ●…xact_a order_n by_o the_o hypothesis_n now_o in_o use_n i_o ●…ould_v then_o try_v what_o may_v be_v do_v without_o they_o and_o that_o this_o may_v possible_o be_v effect_v he_o bring_v this_o for_o his_o reason_n because_o that_o he_o have_v read_v that_o the_o egyptians_n have_v ancient_o a_o most_o easy_a and_o facile_a way_n and_o method_n 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measure_n of_o the_o apparent_a motion_n of_o the_o heavenly_a body_n by_o circle_n and_o other_o figure_n which_o be_v again_o resolve_v into_o number_n by_o arithmetic_n without_o which_o whosoever_o shall_v think_v to_o attain_v to_o the_o knowledge_n of_o the_o motion_n of_o the_o star_n he_o may_v be_v say_v to_o invoke_v fortune_n as_o the_o proverb_n be_v and_o dream_n of_o some_o strange_a incorporeal_a and_o more_o than_o seraphical_a way_n above_o the_o reach_n of_o humane_a capacity_n beside_o the_o body_n of_o the_o globe_n itself_o and_o those_o ●…hings_n which_o we_o have_v say_v to_o be_v thereon_o inscribe_v there_o be_v also_o annex_v a_o certain_a frame_n with_o necessary_a instrument_n thereto_o belong_v which_o we_o shall_v declare_v in_o order_n the_o fabric_n of_o his_o frame_n be_v thus_o first_o of_o all_o there_o be_v a_o base_a or_o foot_n to_o rest_v upon_o on_o which_o there_o be_v raise_v perpendicular_o six_o c_o pillar_n b_o or_o a_o column_n of_o equal_a length_n and_o distance_n upon_o the_o top_n of_o which_o there_o be_v fasten_v to_o a_o level_n and_o parallel_v to_o the_o base_a a_o round_a plate_n or_o circle_n of_o wood_n of_o a_o sufficient_a breadth_n and_o thickness_n which_o they_o call_v the_o horizon_n because_o that_o the_o uppermost_a superficies_n thereof_o horizon_n perform_v the_o office_n of_o the_o true_a horizon_n for_o it_o be_v so_o place_v that_o it_o divide_v the_o whole_a globe_n ●…nto_o two_o equal_a part_n whereof_o that_o which_o 〈◊〉_d uppermost_o represent_v unto_o we_o the_o visible_a ●…emisphaere_n and_o the_o other_o that_o which_o be_v hide_v ●…omus_fw-la so_o likewise_o that_o circle_n which_o divi●…es_v that_o part_n of_o the_o world_n which_o we_o ●…ee_v from_o ●…hat_o other_o which_o we_o see_v not_o be_v call_v the_o hori●…on_n and_o that_o point_n which_o be_v direct_o over_o our_o ●…eads_n in_o our_o hemisphere_n and_o be_v

pass_v through_o both_o the_o pole_n and_o therefore_o they_o cross_v the_o aequator_fw-la and_o all_o circle_n parallel_v to_o it_o at_o right_a angle_n 2_o if_o we_o direct_v our_o course_n any_o other_o way_n then_o towards_o one_o of_o the_o pole_n we_o change_v ever_o and_o anon_o both_o our_o horizon_n and_o meridian_n 3._o the_o needle_n be_v touch_v with_o the_o loadstone_n point_v out_o the_o common_a intersection_n of_o the_o horizon_n and_o meridian_n and_o one_o end_n of_o it_o always_o respect_v the_o north_n in_o a_o manner_n and_o the_o other_o the_o south_n and_o here_o i_o can_v but_o take_v notice_n of_o a_o great_a error_n of_o gemma_fw-la frisius_n who_o in_o his_o corollary_n to_o the_o fifteen_o chapter_n of_o p._n appian_o cosmography_n affirm_v that_o the_o magnetical_a needle_n respect_v the_o north_n pole_n on_o this_o side_n of_o the_o equinoctial_a line_n but_o on_o the_o other_o side_n of_o the_o equinoctial_a it_o point_v to_o the_o south_n pole_n which_o 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one_o &_o the_o same_o rumb_n one_o of_o the_o pole_n be_v equal_o elevate_v and_o the_o other_o depress_v so_o that_o michael_n coignet_n be_v find_v to_o be_v in_o a_o error_n who_o out_o of_o some_o certain_a ill_a ground_a position_n endeavour_v to_o prove_v the_o contrary_n out_o of_o the_o 4_o proposition_n there_o arise_v h_o this_o consectary_n namely_o that_o rumbe_n though_o continue_v never_o so_o far_o do_v not_o pass_v through_o the_o pole_n for_o see_v that_o the_o same_o rumbe_n be_v equal_o incline_v to_o all_o meridian_n and_o all_o meridian_n do_v pass_v through_o the_o pole_n it_o will_v then_o follow_v that_o if_o a_o rumbe_n shall_v pass_v through_o the_o pole_n the_o same_o line_n in_o the_o same_o point_n will_v cross_v infinite_a other_o line_n which_o be_v impossible_a because_o that_o a_o part_n of_o any_o angle_n can_v be_v equal_a to_o the_o whole_a neither_o do_v that_o which_o we_o deliver_v in_o the_o last_o proposition_n make_v any_o thing_n against_o this_o consectary_n to_o wit_n that_o betwixt_o any_o two_o parallel_n of_o equal_a distance_n equal_a portion_n of_o the_o same_o rumbe_n may_v be_v intercept_v that_o so_o it_o shall_v thence_o follow_v that_o the_o segment_n of_o any_o rumbe_n intercept_v betwixt_o the_o parallel_n of_o 80._o gr_n of_o latitude_n and_o the_o pole_n be_v equal_a to_o a_o segment_n of_o the_o same_o rumbe_n intercept_v betwixt_o the_o aequator_fw-la and_o the_o parallel_n of_o ten_o gr_n of_o latitude_n and_o the_o reason_n be_v because_o the_o pole_n be_v no_o parallel_n and_o therefore_o it_o be_v a_o true_a position_n of_o nonius_n that_o the_o rumbe_n do_v not_o enter_v the_o pole_n although_o it_o be_v not_o demonstrate_v with_o the_o like_a happy_a success_n for_o he_o assume_v foundation_n contrary_a to_o the_o truth_n as_o we_o say_v before_o and_o gemma_fw-la frisius_n also_o be_v mistake_v when_o he_o affirm_v in_o his_o appedix_fw-la ad_fw-la 15._o cap._n appian_n cosmography_n that_o the_o rumbe_n do_v concur_v in_o the_o pole_n which_o be_v the_o opinion_n also_o of_o some_o other_o who_o be_v therefore_o just_o tax_v by_o michael_n coignet_n these_o thing_n be_v well_o consider_v it_o will_v be_v easy_a to_o understand_v what_o manner_n of_o line_n a_o ship_n follow_v the_o direction_n of_o the_o magnet_n do_v describe_v in_o the_o sea_n if_o the_o forepart_n of_o the_o ship_n be_v direct_v towards_o the_o north_n or_o south_n which_o be_v the_o quarter_n that_o the_o magnetical_a needle_n always_o point_v at_o your_o course_n will_v be_v always_o under_o the_o same_o meridian_n because_o as_o we_o show_v in_o our_o three_o proposition_n the_o needle_n always_o respect_v the_o intersection_n of_o the_o horizon_n and_o meridian_n and_o be_v situate_a in_o the_o plain_a of_o the_o same_o meridian_n if_o the_o before_o part_n of_o the_o ship_n be_v direct_v to_o that_o quarter_n that_o fast_o and_o west_n rumbo_n point_v out_o in_o your_o course_n you_o will_v then_o describe_v either_o the_o aequator_fw-la or_o a_o circle_n parallel_n to_o it_o for_o if_o at_o the_o begin_n of_o your_o set_n forth_o your_o zenith_n be_v under_o the_o aequator_fw-la your_o ship_n will_v describe_v a_o arch_n or_o segment_n of_o the_o aequator_fw-la but_o if_o your_o vertical_a point_n be_v distant_a from_o the_o aequator_fw-la either_o northward_o or_o southward_o your_o course_n will_v then_o describe_v a_o parallel_n as_o far_o distant_a from_o the_o aequator_fw-la as_o the_o latitude_n of_o the_o place_n be_v whence_o you_o set_v forward_o at_o first_o as_o suppose_v our_o intend_a course_n to_o be_v from_o some_o place_n lie_v under_o the_o aequator_fw-la by_o the_o rumbe_n of_o the_o east_n and_o west_n we_o shall_v go_v forward_o still_o under_o the_o aequator_fw-la for_o by_o this_o mean_n as_o we_o go_v on_o we_o always_o meet_v with_o a_o new_a meridian_n which_o the_o line_n of_o our_o course_n cross_v at_o right_a angle_n now_o no_o other_o line_n beside_o the_o aequator_fw-la can_v do_v this_o as_o appear_v manifest_o out_o of_o the_o corollary_n of_o the_o first_o proposition_n and_o therefore_o in_o this_o course_n our_o ship_n must_v describe_v a_o portion_n of_o the_o aequator_fw-la but_o if_o we_o steer_v our_o course_n by_o the_o east_n and_o west_n rumbe_n from_o any_o place_n that_o lie_v beside_o the_o aequator_fw-la we_o shall_v be_v always_o under_o the_o same_o parallel_n for_o all_o circle_n parallel_v to_o the_o aequator_fw-la do_v cut_v all_o the_o meridian_n at_o right_a angle_n by_o the_o corollary_n of_o the_o first_o proposition_n and_o although_o the_o before_o part_n of_o the_o ship_n always_o respect_v the_o equinoctial_a east_n or_o west_n or_o intersection_n of_o the_o aequator_fw-la and_o horizon_n yet_o in_o our_o progress_n we_o shall_v never_o come_v near_o the_o aequator_fw-la but_o shall_v keep_v always_o a_o equal_a distance_n from_o