Selected quad for the lemma: end_n

Word A	Word B	Word C	Word D	Occurrence	Frequency Band	MI	MI Band	Prominent
end_n	low_a	part_n	upper_a	1,487	5	9.1326	5	false

Text snippets containing the quad

ID	Title	Author	Corrected Date of Publication (TCP Date of Publication)	STC	Words	Pages
A18028	Geographie delineated forth in two bookes Containing the sphericall and topicall parts thereof, by Nathanael Carpenter, Fellow of Exceter Colledge in Oxford.	Carpenter, Nathanael, 1589-1628?	1635 (1635)	STC 4677; ESTC S107604	387,148	599

as_o mere_a point_n in_o respect_n of_o their_o orb_n because_o they_o sensible_o be_v see_v as_o part_n of_o these_o orbs._n but_o the_o earth_n be_v great_a than_o some_o of_o the_o low_a star_n as_o the_o moon_n whence_o we_o may_v with_o good_a ground_n aver_v that_o if_o a_o man_n be_v place_v in_o the_o moon_n he_o may_v behold_v the_o earth_n far_o great_a than_o the_o moon_n be_v observe_v by_o we_o in_o the_o earth_n wherefore_o no_o man_n can_v deny_v but_o the_o earth_n in_o itself_o have_v a_o great_a vastness_n but_o if_o we_o consider_v this_o greatness_n in_o respect_n of_o the_o heaven_n we_o shall_v find_v this_o vast_a greatness_n to_o shrink_v almost_o into_o nothing_o and_o become_v as_o a_o mere_a point_n without_o sensible_a magnitude_n but_o this_o be_v not_o altogether_o general_a without_o limitation_n because_o the_o heavenly_a body_n be_v distinguish_v into_o the_o high_a and_o great_a such_o as_o be_v the_o firmament_n with_o the_o four_o high_a planet_n such_o as_o be_v saturn_n jupiter_n mars_n and_o the_o sun_n or_o the_o low_a and_o lesser_a such_o as_o be_v venus_n mercurius_n and_o the_o moon_n which_o difference_n in_o place_n and_o greatness_n admit_v a_o great_a diversity_n in_o this_o proportion_n as_o we_o shall_v show_v in_o these_o two_o theorem_n 1._o the_o earthly_a globe_n compare_v in_o quantity_n with_o the_o firmament_n and_o superior_a orb_n of_o the_o planet_n have_v no_o sensible_a magnitude_n this_o proposition_n be_v support_v not_o only_o by_o the_o authority_n of_o many_o and_o grave_a author_n as_o aristotle_n ptolemy_n pliny_n alphragan_n and_o other_o but_o by_o diverse_a strong_a reason_n draw_v from_o experience_n and_o observation_n of_o astronomer_n the_o first_o argument_n shall_v be_v this_o which_o be_v most_o popular_a the_o sun_n and_o many_o other_o star_n in_o the_o firmament_n be_v find_v out_o by_o astronomical_a instrument_n to_o be_v manifold_o great_a than_o the_o globe_n of_o the_o earth_n yet_o appear_v they_o in_o respect_n of_o the_o heaven_n but_o as_o a_o little_a point_n or_o portion_n then_o must_v the_o earth_n be_v in_o comparison_n far_o lesser_a be_v devoid_a of_o all_o sensible_a magnitude_n or_o proportion_n second_o if_o the_o earth_n have_v any_o notable_a quantity_n in_o respect_n of_o the_o heaven_n then_o must_v the_o diameter_n of_o the_o earth_n have_v as_o great_a a_o quantity_n in_o respect_n of_o the_o diameter_n of_o the_o sky_n for_o there_o be_v the_o same_o proportion_n of_o the_o diameter_n which_o the_o circumference_n have_v one_o to_o the_o other_o as_o be_v demonstrate_v in_o geometry_n now_o if_o the_o diameter_n of_o the_o earth_n have_v any_o notable_a magnitude_n in_o comparison_n of_o the_o diameter_n of_o the_o sky_n than_o the_o star_n which_o be_v over_o our_o head_n be_v near_o unto_o we_o by_o a_o notable_a quantity_n then_o when_o they_o be_v either_o in_o the_o east_n or_o west_n for_o it_o must_v needs_o follow_v that_o the_o star_n place_v in_o the_o vertical_a point_n be_v near_o by_o the_o semidiameter_n of_o the_o earth_n then_o when_o they_o be_v either_o in_o the_o eastern_a or_o western_a point_n as_o we_o see_v in_o ●his_fw-la figure_n here_o set_v down_o acdb_n wherein_o i_o make_v e_o to_o be_v the_o centre_n of_o the_o earth_n aeb_n the_o true_a horizon_n and_o of_o the_o semidiameter_n of_o the_o earth_n now_o if_o the_o semidiameter_n fe_o have_v any_o sensible_a proportion_n then_o must_v g_o the_o vertical_a point_n be_v near_o to_o f._n then_o either_o a_o or_o b._n suppose_a to_o be_v the_o east_n &_o west_n point_n because_o ea_fw-la or_o ebb_v be_v the_o whole_a semidiameter_n of_o the_o celestial_a circle_n whereof_o fg_n be_v only_o a_o part_n but_o contrariwise_o there_o be_v no_o such_o diversity_n perceive_v in_o the_o magnitude_n of_o the_o star_n but_o that_o they_o appear_v still_o to_o be_v of_o one_o and_o the_o same_o greatness_n except_o by_o accidental_a interposition_n of_o vapour_n and_o gross_a body_n wherefore_o it_o must_v of_o necessity_n follow_v that_o their_o distance_n be_v all_o one_o in_o all_o part_n of_o the_o sky_n and_o by_o consequence_n the_o semidiameter_n of_o the_o earth_n have_v no_o sensible_a diversity_n in_o distance_n three_o hence_o will_v arise_v another_o reason_n no_o less_o forcible_a than_o this_o that_o if_o the_o semidiameter_n of_o the_o earth_n have_v any_o comparison_n or_o proportion_n to_o the_o semidiameter_n of_o the_o sky_n the_o horizon_n that_o we_o have_v on_o the_o upper_a part_n of_o the_o earth_n shall_v not_o divide_v the_o sky_n into_o two_o equal_a part_n for_o as_o much_o as_o the_o part_n which_o be_v couch_v under_o the_o horizon_n will_v always_o be_v great_a and_o the_o other_o lesser_a as_o in_o our_o former_a diagramme_n if_o of_o have_v a_o notable_a quantity_n in_o comparison_n of_o ea_fw-la then_o will_v the_o line_n cfd_n be_v the_o horizon_n on_o the_o top_n of_o the_o earth_n differ_v notable_o from_o the_o line_n aeb_fw-mi be_v the_o diameter_n of_o the_o world_n and_o the_o horizon_n to_o the_o centre_n of_o the_o earth_n and_o so_o shall_v not_o the_o horizon_n cfd_n divide_v the_o world_n into_o two_o equal_a part_n but_o the_o upper_a part_n shall_v always_o be_v lesser_a than_o the_o low_a which_o cross_v ordinary_a experience_n for_o we_o may_v see_v in_o long_a winter_n night_n that_o those_o star_n which_o be_v in_o the_o east_n horizon_n in_o the_o begin_n of_o the_o night_n will_v be_v in_o the_o west_n at_o the_o end_n of_o twelve_o hour_n and_o contrariwise_o those_o star_n which_o do_v set_v in_o the_o west_n when_o those_o other_o do_v rise_v in_o the_o east_n shall_v rise_v again_o when_o the_o other_o shall_v set_v four_o if_o the_o earth_n have_v any_o sensible_a greatness_n in_o respect_n of_o the_o heaven_n than_o be_v it_o unpossible_a for_o any_o sun_n dial_n to_o be_v regular_a and_o observe_v due_a proportion_n for_o we_o see_v the_o shadow_n to_o move_v as_o due_o and_o orderly_o about_o the_o centre_n of_o dial_n and_o such_o instrument_n as_o if_o their_o centre_n be_v the_o very_a centre_n of_o the_o world_n which_o can_v never_o happen_v if_o these_o two_o centre_n shall_v differ_v notable_o in_o respect_n of_o the_o sphere_n of_o the_o sun_n to_o express_v it_o the_o better_a we_o will_v set_v this_o figure_n which_o represent_v the_o three_o notable_a circle_n in_o a_o dial_n which_o be_v describe_v by_o the_o course_n of_o the_o sun_n in_o three_o notable_a place_n of_o the_o zodiac_n to_o wit_n the_o two_o tropic_n and_o the_o equinoctial_a herein_o the_o uttermost_a arch_n blc_n represent_v the_o tropic_n of_o capricorn_n and_o be_v describe_v no_o great_a than_o the_o quarter_n of_o a_o circle_n because_o the_o sun_n place_v in_o the_o sign_n shine_v unto_o we_o but_o six_o hour_n the_o equinoctial_a be_v set_v as_o half_a a_o circle_n because_o the_o sun_n be_v in_o it_o appear_v unto_o we_o 12_o hour_n &_o be_v here_o note_v out_o by_o eif_n the_o tropic_n of_o cancer_n contain_v 3_o quarter_n of_o a_o circle_n because_o when_o the_o sun_n be_v in_o it_o there_o be_v eighteen_o hour_n from_o sunrising_n to_o sunset_n and_o that_o circle_n be_v ghk_n the_o centre_n of_o the_o dial_n be_v a_o and_o the_o style_n which_o give_v the_o shadow_n da_fw-la who_o top_n be_v d_o do_v describe_v those_o portion_n of_o circle_n with_o such_o exactness_n as_o if_o the_o dial_n be_v set_v in_o the_o very_a centre_n of_o the_o earth_n and_o the_o distinction_n of_o the_o hour_n show_v itself_o no_o otherwise_o then_o if_o the_o centre_n of_o the_o dial_n be_v the_o same_o with_o the_o centre_n of_o the_o world_n to_o these_o argument_n i_o may_v add_v that_o if_o there_o shall_v be_v a_o sensible_a greatness_n of_o the_o earth_n in_o respect_n of_o these_o superior_a orb_n either_o all_o or_o most_o of_o these_o absurdity_n will_v arise_v which_o follow_v their_o opinion_n who_o place_n the_o earth_n out_o of_o the_o centre_n of_o the_o world_n which_o we_o have_v before_o treat_v of_o 2_o the_o terrestrial_a globe_n compare_v with_o the_o inferior_a orb_n have_v a_o sensible_a magnitude_n although_o the_o whole_a earth_n compare_v with_o the_o firmament_n and_o superior_a orb_n of_o the_o planet_n seem_v no_o otherwise_o then_o a_o point_n yet_o from_o this_o we_o must_v except_v the_o orb_n of_o the_o low_a planet_n venus_n mercury_n but_o especial_o the_o moon_n who_o be_v find_v by_o observation_n of_o diverse_a skilful_a astronomer_n to_o have_v a_o sensible_a and_o notable_a greatness_n in_o respect_n of_o the_o earth_n whereof_o a_o manifest_a argument_n may_v be_v draw_v from_o the_o parallax_n or_o variation_n of_o the_o sight_n wherein_o our_o observation_n of_o the_o same_o star_n at_o diverse_a place_n be_v

perpendicular_a line_n be_v altogether_o insensible_a for_o if_o two_o perpendicular_a or_o heavy_a point_n move_v in_o a_o line_n shall_v be_v distant_a one_o from_o the_o other_o the_o space_n of_o 10_o a_o 100_o or_o more_o foot_n because_o this_o distance_n be_v very_o little_a in_o respect_n of_o the_o semidiameter_n of_o the_o earth_n the_o angle_n of_o concourse_n must_v needs_o be_v very_o little_a and_o by_o consequence_n those_o two_o ray_n or_o line_n measure_v the_o descent_n of_o two_o heavy_a body_n will_v seem_v altogether_o equidistant_a yet_o that_o there_o be_v such_o a_o concurrence_n nature_n and_o reason_n will_v easy_o consent_v hence_o we_o may_v detect_v a_o popular_a error_n believe_v of_o the_o vulgar_a that_o the_o wall_n of_o house_n stand_v upright_o be_v parallel_v and_o of_o equal_a distance_n when_o contrariwise_o it_o be_v plain_a that_o such_o wall_n be_v erect_v by_o a_o perpendicular_a and_o measure_v by_o perpendicular_a line_n which_o be_v draw_v out_o in_o length_n will_v meet_v in_o the_o centre_n of_o the_o earth_n the_o like_a may_v we_o pronounce_v of_o a_o deep_a well_o who_o side_n or_o wall_n be_v erect_v perpendicular_o and_o therefore_o shall_v it_o reach_v as_o far_o as_o the_o centre_n it_o must_v needs_o follow_v that_o the_o side_n grow_v near_o and_o near_o as_o they_o approach_v the_o centre_n will_v in_o the_o end_n close_o or_o shut_v up_o into_o a_o pyramid_n who_o base_a shall_v be_v the_o mouth_n of_o the_o well_o likewise_o if_o a_o tower_n shall_v be_v erect_v to_o the_o heaven_n it_o will_v be_v strange_a to_o imagine_v how_o great_a and_o broad_a the_o upper_a part_n of_o it_o will_v be_v in_o respect_n of_o the_o bottom_n hence_o again_o it_o may_v be_v infer_v that_o any_o pavement_n level_v by_o a_o perpendicular_a be_v not_o a_o absolute_a plain_n but_o rather_o the_o portion_n or_o arch_n of_o a_o spherical_a superficies_n who_o centre_n be_v the_o same_o with_o the_o centre_n of_o the_o whole_a earth_n but_o this_o roundness_n in_o a_o small_a distance_n be_v no_o way_n sensible_a but_o in_o a_o great_a pavement_n of_o four_o or_o five_o hundred_o pace_n level_v perpendicular_o it_o will_v make_v some_o show_n of_o roundness_n whence_o it_o must_v needs_o follow_v that_o a_o extraordinary_a great_a pavement_n measure_v over_o by_o a_o right_a line_n can_v be_v call_v level_a or_o equal_o poize_v forasmuch_o as_o it_o be_v not_o every_o where_o equal_o distant_a from_o the_o centre_n of_o the_o earthly_a globe_n 2_o two_o heavy_a body_n of_o the_o same_o figure_n and_o matter_n whether_o equal_a or_o unequal_a will_v in_o equal_a time_n move_v a_o equal_a space_n this_o proposition_n be_v invent_v by_o one_o johannes_n baptist_n de_fw-fr benedictis_n be_v cite_v and_o confirm_v by_o john_n dee_n in_o his_o mathematical_a preface_n to_o bill_v slie_n geometry_n which_o correct_v a_o common_a error_n of_o those_o man_n which_o suppose_v the_o light_a body_n general_o not_o to_o move_v so_o fast_o downward_o to_o the_o centre_n as_o the_o heavy_a the_o demonstration_n of_o this_o theorem_a be_v draw_v from_o many_o staticall_a principle_n which_o we_o can_v here_o convenient_o insert_v we_o be_v enforce_v to_o omit_v as_o intend_v not_o the_o search_n of_o these_o matter_n any_o far_a than_o they_o direct_v unto_o the_o knowledge_n of_o geographie_n yet_o be_v it_o no_o hard_a matter_n to_o give_v ●_o more_o popular_a expression_n of_o this_o reason_n out_o of_o the_o proportion_n betwixt_o this_o weight_n of_o the_o heavy_a body_n and_o the_o resistance_n of_o the_o medium_fw-la because_o the_o great_a body_n as_o it_o be_v carry_v downward_o by_o a_o great_a force_n and_o violence_n so_o on_o the_o other_o side_n it_o meet_v a_o great_a impediment_n be_v not_o able_a so_o soon_o to_o divide_v the_o air_n as_o the_o lesser_a likewise_o the_o lesser_a body_n fall_v with_o less_o force_n yet_o be_v more_o apt_a to_o divide_v it_o then_o the_o other_o whence_o both_o set_v the_o one_o against_o the_o other_o there_o will_v be_v no_o disparity_n in_o the_o time_n and_o motion_n 12_o of_o the_o primary_n conformity_n of_o the_o terrestrial_a body_n in_o the_o constitution_n of_o the_o terrestrial_a sphere_n we_o have_v treat_v it_o now_o seem_v needful_a that_o we_o descend_v to_o the_o secondary_a which_o be_v the_o inclination_n of_o all_o the_o part_n to_o make_v a_o round_a sphere_n or_o globe_n 1_o the_o terrestrial_a globe_n be_v round_o and_o spherical_a this_o proposition_n be_v of_o great_a use_n and_o one_o of_o the_o chief●●●_n ground_n in_o geographie_n the_o ground_n of_o the_o spherical_a figure_n of_o the_o earth_n be_v the_o right_a motion_n of_o heavy_a body_n to_o the_o centre_n for_o this_o right_a motion_n as_o we_o have_v show_v do_v express_v one_o beam_n of_o the_o circle_n by_o who_o circumvolution_n be_v produce_v the_o circumference_n of_o i●_n which_o we_o call_v secundary_a conformity_n of_o the_o part_n of_o the_o earth_n in_o so_o much_o as_o it_o grow_v mathematical_o as_o it_o be_v out_o of_o the_o first_o for_o this_o spherical_a figure_n of_o the_o earth_n sundry_a sound_a reason_n be_v urge_v by_o geographer_n first_o that_o the_o earth_n be_v round_o according_a to_o its_o latitude_n that_o be_v from_o north_n to_o south_n second_o according_a to_o its_o longitude_n that_o be_v from_o east_n to_o west_n and_o therefore_o must_v it_o needs_o be_v absolute_o spherical_a the_o first_o part_n be_v show_v that_o it_o be_v round_o from_o n●rth_n to_o south_n for_o if_o a_o man_n travel_n from_o north_n to_o south_n or_o contrariwise_o from_o south_n to_o north_n he_o shall_v perceive_v n●w_a star_n in_o the_o heaven_n to_o appear_v and_o show_v themselves_o which_o before_o h●e_v can_v not_o see_v which_o can_v be_v refer_v to_o no_o other_o cause_n then_o the_o spherical_a convexity_n or_o swell_v of_o the_o earth_n as_o for_o example_n the_o star_n which_o be_v call_v canopus_n which_o be_v a_o notable_a star_n in_o the_o ship_n appear_v not_o at_o rhodes_n or_o at_o least_o from_o high_a place_n but_o if_o you_o travel_v forth_o southward_o from_o italy_n into_o egypt_n to_o alexandria_n the_o same_o star_n proclus_n observe_v will_v manifest_v itself_o to_o your_o sight_n the_o four_o part_n of_o a_o sign_n above_o the_o horizon_n sphaer_n from_o whence_o we_o may_v draw_v a_o sound_a proof_n that_o there_o be_v a_o spherical_a and_o gibbous_a convexitie_n which_o interpose_v itself_o betwixt_o rhodes_n and_o egypt_n in_o which_o place_n the_o people_n who_o inhabit_v that_o part_n of_o egypt_n which_o border_n upon_o arabia_n which_o be_v call_v troglo●ites_n of_o their_o dwell_n in_o cave_n can_v see_v any_o star_n of_o the_o great_a bear_n whence_o we_o may_v conclu●e_v that_o the_o earth_n from_o the_o north_n to_o the_o south_n be_v round_o and_o spherical_a for_o if_o otherwise_o the_o earth_n be_v plain_a all_o the_o northern_a star_n will_v appear_v to_o the_o inhabitant_n of_o the_o southern_a region_n and_o on_o the_o other_o side_n all_o the_o other_o southern_a constellation_n will_v be_v see_v of_o the_o northern_a inhabitant_n which_o sense_n and_o reason_n altogether_o contradict_v second_o that_o the_o earth_n be_v round_o according_a to_o its_o longitude_n betwixt_o east_n and_o west_n may_v be_v prove_v by_o two_o reason_n the_o first_o be_v take_v from_o the_o rise_n and_o set_v of_o the_o sun_n moon_n and_o other_o star_n for_o as_o much_o as_o all_o they_o do_v not_o arise_v or_o set_v with_o all_o nation_n at_o the_o same_o hour_n for_o with_o the_o inhabitant_n of_o the_o east_n the_o sunrising_n be_v soon_o with_o the_o western_a inhabitant_n late_a and_o that_o in_o such_o proportion_n that_o every_o 15_o degree_n measure_v out_o by_o the_o sun_n diurnal_a motion_n add_v or_o subtract_v one_o whole_a hour_n in_o the_o length_n of_o the_o day_n this_o be_v find_v by_o experience_n and_o testimony_n of_o cosmographer_n that_o the_o sun_n rise_v with_o the_o persian_a inhabit_v towards_o the_o east_n four_o hour_n soon_o than_o to_o the_o spaniard_n in_o the_o west_n sundry_a other_o the_o like_a example_n may_v be_v allege_v all_o which_o we_o must_v needs_o impute_v to_o the_o spherical_a roundness_n of_o the_o earth_n proportional_o increase_v betwixt_o east_n and_o west_n the_o other_o reason_n to_o confirm_v this_o last_o point_n be_v draw_v from_o the_o eclipse_n of_o the_o sun_n and_o moon_n which_o will_v not_o appear_v in_o diverse_a place_n at_o diverse_a hour_n if_o the_o earth_n be_v plain_a or_o square_a we_o see_v plain_o that_o eclipse_n of_o the_o moon_n appear_v soon_o to_o the_o western_a people_n but_o late_a to_o the_o eastern_a as_o according_a to_o ptolemy_n in_o arbela_n a_o town_n of_o assyria_n where_o alexander_n overcome_v darius_n the_o last_o king_n of_o