Selected quad for the lemma: end_n

Word A	Word B	Word C	Word D	Occurrence	Frequency Band	MI	MI Band	Prominent
end_n	foot_n	half_a	inch_n	1,859	5	11.0254	5	true

Text snippets containing the quad

ID	Title	Author	Corrected Date of Publication (TCP Date of Publication)	STC	Words	Pages
A28956	A defence of the doctrine touching the spring and weight of the air propos'd by Mr. R. Boyle in his new physico-mechanical experiments, against the objections of Franciscus Linus ; wherewith the objector's funicular hypothesis is also examin'd, by the author of those experiments.	Boyle, Robert, 1627-1691.; Sharrock, Robert, 1630-1684.	1662 (1662)	Wing B3941; ESTC R26549	92,713	134

to_o our_o examiner_n funiculus_fw-la since_o by_o his_o own_o confession_n that_o can_v pull_v up_o the_o mercury_n if_o the_o mercurial_a cylinder_n be_n above_o 29._o or_o 30._o inch_n of_o mercury_n and_o therefore_o we_o shall_v render_v this_o reason_n of_o it_o that_o the_o pressure_n of_o the_o incumbent_a air_n be_v in_o part_n take_v off_o by_o its_o expanding_n itself_o into_o the_o sucker_n dilate_a chest_n the_o imprison_a air_n be_v thereby_o enable_v to_o dilate_v itself_o manifest_o and_o repel_v the_o mercury_n that_o compress_v it_o till_o there_o be_v a_o equality_n of_o force_n betwixt_o the_o strong_a spring_n of_o that_o compress_a air_n on_o the_o one_o part_n and_o the_o tall_a mercurial_a cylinder_n together_o with_o the_o contiguous_a dilate_a air_n on_o the_o other_o part_n now_o if_o to_o what_o we_o have_v thus_o deliver_v concern_v the_o compression_n of_o air_n we_o add_v some_o observation_n concern_v its_o spontaneous_a expansion_n it_o will_v the_o 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the_o same_o parcel_n of_o air._n b._n the_o height_n of_o the_o mercurial_a cylinder_n that_o together_o with_o the_o spring_n of_o the_o include_v air_n counterbalance_v the_o pressure_n of_o the_o atmosphere_n c._n the_o pressure_n of_o the_o atmosphere_n d._n the_o compliment_n of_o b_o to_z c_z exhibit_v the_o pressure_n sustain_v by_o the_o include_v air._n e._n what_o that_o pressure_n shall_v be_v according_a to_o the_o hypothesis_n to_o make_v the_o experiment_n of_o the_o debilitate_a force_n of_o expanded_a air_n the_o plain_a it_o will_v not_o be_v amiss_o to_o note_v some_o particular_n especial_o touch_v the_o manner_n of_o make_v the_o trial_n which_o for_o the_o reason_n late_o mention_v we_o make_v on_o a_o lightsome_a pair_n of_o stair_n and_o with_o a_o box_n also_o line_v with_o paper_n to_o receive_v the_o mercury_n that_o may_v be_v spill_v and_o in_o regard_n it_o will_v require_v a_o vast_a and_o in_o few_o place_n procurable_a quantity_n of_o quicksilver_n to_o 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admit_v to_o be_v divisible_a though_o according_a to_o his_o principle_n it_o may_v equalise_v the_o length_n of_o million_o of_o his_o other_o indivisibles_n nor_o admit_v a_o successive_a motion_n but_o instantaneous_a though_o that_o do_v necessary_o put_v a_o body_n into_o two_o three_o ten_o a_o hundred_o etc._n etc._n place_n at_o once_o but_o will_v have_v these_o also_o to_o be_v indivisible_a haste_n make_v i_o pass_v over_o the_o absurdity_n about_o the_o contact_n of_o a_o circle_n and_o a_o line_n and_o to_o comprise_v in_o short_a all_o that_o great_a explication_n he_o have_v give_v of_o this_o and_o other_o intricate_a as_o he_o call_v they_o problem_n which_o be_v this_o that_o the_o reason_n of_o the_o celerity_n of_o the_o motion_n of_o some_o one_o of_o these_o indivisibles_n above_o another_o be_v that_o it_o pass_v through_o a_o great_a part_n of_o a_o indivisible_a in_o the_o same_o instant_n than_o the_o slow_a that_o be_v in_o plain_a sense_n no_o more_o than_o this_o one_o body_n be_v swift_a than_o another_o because_o it_o be_v move_v fast_o from_o whence_o he_o draw_v several_a corollary_n as_o that_o hence_o may_v be_v give_v a_o reason_n why_o a_o eagle_n be_v swift_a than_o a_o tortoise_n viz._n because_o it_o move_v fast_o i_o shall_v have_v solve_v several_a objection_n which_o may_v be_v bring_v against_o the_o divisibility_n of_o quantity_n in_o infinitum_fw-la but_o that_o as_o all_o the_o scholastic_a writer_n be_v full_a of_o they_o so_o it_o be_v a_o subject_a which_o we_o be_v least_o able_a to_o dispute_v of_o have_v very_o little_a information_n of_o the_o nature_n of_o infinity_o from_o the_o sense_n finis_fw-la the_o citation_n english_v chap._n 2._o pag._n 4._o cum_fw-la tota_fw-la vis_fw-la etc._n etc._n be_v the_o whole_a power_n of_o the_o spring_n of_o the_o air_n depend_v upon_o the_o aequilibrium_fw-la of_o its_o weight_n with_o twenty_o nine_o inch_n and_o a_o half_a of_o quicksilver_n so_o that_o this_o spring_n do_v neither_o more_o nor_o less_o in_o a_o shut_a place_n then_o be_v do_v by_o that_o aequilibrium_fw-la in_o a_o open_a place_n it_o be_v manifest_a see_v we_o have_v show_v the_o aequilibrium_fw-la to_o be_v plain_o fictitious_a and_o imaginary_a that_o the_o spring_n ascribe_v to_o the_o air_n be_v so_o likewise_o ibid._n nam_fw-la si_fw-la tubus_fw-la etc._n etc._n for_o if_o a_o tube_n but_o twenty_o inch_n long_o such_o as_o we_o use_v in_o our_o first_o argument_n be_v not_o quite_o fill_v with_o quicksilver_n as_o before_o but_o a_o little_a space_n be_v leave_v betwixt_o the_o mercury_n and_o the_o finger_n on_o the_o top_n of_o the_o tube_n in_o which_o air_n only_o may_v abide_v we_o shall_v find_v that_o the_o finger_n below_o be_v remove_v the_o finger_n on_o the_o top_n will_v not_o only_o be_v draw_v downward_o as_o before_o but_o the_o quicksilver_n shall_v descend_v also_o and_o that_o notable_o viz._n as_o much_o as_o so_o small_a a_o parcel_n of_o air_n can_v be_v extend_v by_o such_o a_o descend_a weight_n so_o that_o if_o instead_o of_o air_n water_n or_o any_o other_o liquor_n which_o be_v not_o so_o easy_o extend_v be_v put_v in_o its_o place_n there_o will_v be_v no_o descent_n at_o all_o hence_o i_o say_v against_o this_o opinion_n a_o argument_n be_v frame_v for_o if_o the_o external_a air_n can_v keep_v up_o those_o twenty_o inch_n of_o quicksilver_n from_o descend_v as_o we_o have_v prove_v how_o shall_v it_o keep_v up_o twenty_o nine_o inch_n and_o a_o half_a assure_o these_o can_v no_o way_n be_v reconcile_v p._n 5._o dice_v fortè_fw-la etc._n etc._n you_o will_v perchance_o say_v that_o the_o quicksilver_n therefore_o do_v in_o the_o allege_a case_n descend_v because_o it_o be_v thrust_v down_o by_o that_o parcel_n of_o air_n which_o dilate_v itself_o by_o its_o own_o spring_n ibid._n sic_fw-la deberet_fw-la etc._n etc._n so_o shall_v the_o finger_n be_v rather_o thrust_v from_o the_o top_n of_o the_o tube_n than_o thereby_o fasten_v to_o it_o because_o this_o dilatation_n must_v be_v make_v as_o well_o upward_o as_o downward_o p._n 6._o concipi_fw-la etc._n etc._n it_o can_v be_v conceive_v how_o that_o air_n shall_v dilate_v itself_o or_o thrust_v down_o the_o mercury_n unless_o by_o take_v up_o a_o great_a place_n which_o thing_n these_o author_n be_v much_o against_o assert_v that_o rarefaction_n can_v be_v make_v no_o other_o way_n then_o by_o corpuscle_n or_o vacuity_n chap._n 3._o p._n 7._o si_fw-mi etc._n etc._n if_o you_o take_v a_o tube_n open_a at_o both_o end_n of_o a_o good_a length_n suppose_v forty_o inch_n long_o and_o fill_v it_o with_o mercury_n and_o place_v your_o finger_n on_o the_o top_n as_o before_o take_v away_o your_o low_a finger_n you_o will_v find_v the_o mercury_n to_o descend_v even_o to_o its_o wont_a station_n and_o your_o finger_n on_o the_o top_n to_o be_v strong_o draw_v within_o the_o tube_n and_o to_o stick_v close_o unto_o it_o whence_o again_o it_o be_v evident_o conclude_v that_o the_o mercury_n place_v in_o its_o own_o station_n be_v not_o there_o uphold_v by_o the_o external_a air_n but_o suspend_v by_o a_o certain_a internal_a cord_n who_o upper_a end_n be_v fasten_v to_o the_o finger_n draw_v and_o fasten_v it_o after_o this_o manner_n into_o the_o tube_n chap._n 4._o p._n 8_o 9_o sumatur_fw-la etc._n etc._n take_v a_o tube_n short_a than_o twenty_o nine_o inch_n and_o a_o half_a for_o instance_n of_o twenty_o digit_n not_o shut_v as_o hitherto_o at_o one_o end_n but_o with_o both_o end_n open_a let_v this_o tube_n its_o orifice_n be_v immerse_v in_o restagnant_fw-la mercury_n and_o one_o finger_n be_v place_v underneath_o that_o the_o mercury_n to_o be_v pour_v in_o run_v not_o through_o be_v fill_v with_o mercury_n and_o then_o another_o finger_n be_v apply_v to_o its_o orifice_n to_o close_v it_o well_o which_o be_v do_v if_o you_o draw_v away_o your_o low_a finger_n the_o upper_a will_v be_v find_v to_o be_v strong_o draw_v and_o suck_v into_o the_o tube_n and_o so_o stiff_o to_o adhere_v to_o it_o or_o rather_o to_o the_o quicksilver_n as_o i_o shall_v hereafter_o show_v that_o it_o will_v elevate_v the_o tube_n itself_o with_o all_o the_o quicksilver_n and_o make_v it_o continue_v to_o hang_v pendulous_a in_o the_o vessel_n from_o which_o experiment_n this_o opinion_n be_v most_o clear_o refute_v for_o see_v according_a to_o it_o the_o quicksilver_n in_o such_o a_o tube_n but_o twenty_o inch_n long_o must_v be_v thrust_v upward_o by_o the_o preponderate_a air_n it_o will_v never_o by_o it_o be_v explain_v how_o this_o finger_n be_v so_o draw_v downward_o and_o make_v so_o strong_o to_o stick_v to_o the_o tube_n for_o it_o can_v by_o the_o air_n thrust_v upward_o be_v thus_o draw_v downward_o p._n 11._o quod_fw-la vel_fw-la etc._n etc._n which_o be_v thence_o confirm_v because_o if_o that_o preponderate_a air_n succeed_v as_o be_v assert_v in_o the_o place_n of_o the_o low_a finger_n which_o be_v withdraw_v that_o be_v if_o it_o uphold_v the_o quicksilver_n after_o the_o same_o manner_n which_o it_o be_v uphold_v by_o the_o low_a finger_n apply_v under_o it_o it_o be_v manifest_a according_a to_o this_o opinion_n that_o the_o finger_n on_o the_o top_n ought_v not_o to_o be_v more_o draw_v downward_o after_o the_o low_a finger_n be_v remove_v then_o before_o see_v then_o that_o experience_n teach_v the_o contrary_a it_o be_v manifest_v that_o opinion_n must_v be_v false_a chap._n 5._o p._n 12._o quarto_fw-la etc._n etc._n in_o the_o four_o place_n it_o be_v impugned_a because_o thence_o it_o will_v follow_v that_o quicksilver_n through_o a_o like_a tube_n may_v be_v suck_v with_o the_o same_o easiness_n out_o of_o a_o vessel_n that_o water_n be_v suck_v out_o of_o the_o same_o which_o not_o withstand_v be_v contrary_a to_o experience_n by_o which_o we_o be_v teach_v that_o water_n be_v easy_o draw_v into_o the_o mouth_n of_o he_o that_o suck_v whereas_o quicksilver_n can_v be_v draw_v thither_o by_o his_o utmost_a endeavour_n nay_o scarce_o unto_o the_o middle_n of_o the_o tube_n the_o sequel_n i_o thus_o manifest_a because_o see_v according_a to_o this_o opinion_n that_o the_o liquor_n underneath_o whether_o it_o be_v water_n or_o mercury_n may_v so_o ascend_v no_o more_o be_v require_v but_o that_o the_o air_n shut_v in_o the_o tube_n may_v be_v draw_v upward_o by_o suck_v which_o be_v draw_v up_o the_o liquor_n underneath_o will_n immediate_o ascend_v be_v thrust_v thither_o by_o the_o external_a air_n now_o preponderate_v as_o pecquet_n declare_v in_o his_o anatomical_a discourse_n p._n 63._o it_o be_v manifest_a that_o the_o mercury_n may_v be_v suck_v out_o with_o the_o same_o easiness_n that_o water_n be_v suck_v out_o with_o which_o be_v so_o evident_o against_o experience_n the_o opinion_n from_o whence_o it_o

inquire_v after_o and_o not_o in_o case_n it_o be_v traction_n and_o such_o a_o experimentum_fw-la crucis_fw-la to_o speak_v with_o our_o illustrious_a verulam_n be_v afford_v we_o by_o that_o noble_a observation_n of_o monsieur_n paschall_n mention_v by_o the_o famous_a pecquet_n and_o out_o of_o he_o by_o our_o author_n namely_o that_o the_o torricellian_a 66._o experiment_n be_v make_v at_o the_o foot_n and_o in_o divers_a place_n of_o a_o very_a high_a mountain_n of_o the_o altitude_n of_o five_o hundred_o fathom_n or_o three_o thousand_o foot_n he_o find_v that_o after_o he_o have_v ascend_v a_o hundred_o and_o fifty_o fathom_n the_o quicksilver_n be_v fall_v two_o inch_n and_o a_o quarter_n below_o its_o station_n at_o the_o mountain_n foot_n and_o that_o at_o the_o very_a top_n of_o the_o hill_n it_o have_v descend_v above_o three_o inch_n below_o the_o same_o wont_a station_n whence_o it_o appear_v that_o the_o quicksilver_n be_v carry_v up_o towards_o the_o top_n of_o the_o atmosphere_n fall_v down_o the_o low_a the_o high_a the_o place_n be_v wherein_o the_o observation_n be_v make_v of_o which_o the_o reason_n be_v plain_a in_o our_o hypothesis_n namely_o that_o the_o near_o we_o come_v to_o the_o top_n of_o the_o atmosphere_n the_o short_a and_o light_a be_v the_o cylinder_n of_o air_n incumbent_n upon_o the_o restagnant_fw-la mercury_n and_o consequent_o the_o less_o weight_n of_o cylindrical_n mercury_n will_v that_o air_n be_v able_a to_o counter-poise_n and_o keep_v suspend_v and_o since_o this_o notable_a phaenomenon_n do_v thus_o clear_o follow_v upon_o we_o and_o not_o upon_o our_o adversary_n hypothesis_n this_o experiment_n seem_v to_o determine_v the_o controversy_n betwixt_o they_o because_o in_o this_o case_n the_o examiner_n can_v pretend_v as_o he_o do_v in_o the_o seventeen_o and_o divers_a other_o of_o our_o experiment_n that_o the_o descent_n of_o the_o quicksilver_n in_o the_o tube_n be_v cause_v not_o by_o the_o diminution_n of_o the_o external_a air_n pressure_n but_o from_o the_o preternatural_a rarefaction_n or_o distension_n of_o that_o external_a air_n in_o the_o receiver_n when_o by_o seek_v to_o restore_v itself_o it_o endeavour_n to_o draw_v up_o the_o restagnant_fw-la mercury_n for_o in_o our_o present_a case_n there_o appear_v no_o such_o forcible_a dilatation_n of_o that_o air_n as_o in_o many_o of_o the_o phaenomena_n of_o our_o engine_n he_o be_v please_v to_o imagine_v it_o need_v therefore_o be_v no_o great_a wonder_n if_o his_o adversary_n do_v as_o he_o observe_v make_v a_o great_a account_n of_o this_o experiment_n to_o prove_v that_o the_o mercury_n be_v keep_v up_o in_o the_o tube_n by_o the_o resistance_n of_o the_o external_a air_n nor_o do_v i_o think_v his_o answer_n to_o the_o argument_n draw_v from_o hence_o will_v keep_v they_o from_o think_v it_o cogent_a for_o to_o a_o objection_n upon_o which_o he_o take_v notice_n that_o they_o lie_v so_o much_o stress_n he_o reply_v but_o two_o thing_n which_o neither_o single_o nor_o together_o will_v near_o amount_v to_o a_o satisfactory_a answer_n but_o because_o that_o though_o experiment_n make_v in_o very_o elevate_v place_n be_v noble_a one_o and_o of_o great_a importance_n in_o the_o controversy_n about_o the_o air_n yet_o there_o be_v but_o very_o few_o of_o those_o that_o be_v qualify_v to_o make_v experiment_n of_o that_o nature_n who_o have_v the_o opportunity_n of_o make_v they_o upon_o high_a mountain_n we_o do_v with_o the_o assistance_n of_o a_o ingenious_a man_n attempt_v a_o trial_n wherein_o we_o hope_v to_o find_v a_o sensibly-differing_a weight_n of_o the_o atmospere_n in_o a_o far_o less_o height_n then_o that_o of_o a_o ordinary_a hill_n but_o in_o stead_n of_o a_o common_a tube_n we_o make_v use_v of_o a_o kind_n of_o weatherglass_n that_o the_o include_v air_n may_v help_v to_o make_v the_o event_n notable_a for_o a_o reason_n to_o be_v mention_v ere_o long_o and_o in_o stead_n of_o quicksilver_n we_o employ_v common_a water_n in_o the_o pipe_n belong_v to_o the_o weatherglass_n that_o small_a change_n in_o the_o weight_n or_o resistance_n of_o the_o atmosphere_n in_o opposite_a on_o of_o the_o include_v air_n may_v be_v the_o more_o discernible_a the_o instrument_n we_o make_v use_v of_o consist_v only_o of_o a_o glass_n with_o a_o broad_a foot_n and_o a_o narrow_a neck_n a_o b_o and_o a_o slender_a glass-pipe_n c_z d_o open_v at_o both_o end_n which_o pipe_n be_v so_o place_v that_o the_o bottom_n of_o it_o do_v almost_o but_o not_o quite_o reach_v to_o the_o bottom_n of_o the_o big_a glass_n a_o b_o within_o who_o neck_n a_o it_o be_v fasten_v with_o a_o close_a cement_n that_o both_o keep_v the_o pipe_n in_o its_o place_n and_o hinder_v all_o communication_n betwixt_o the_o inward_a i_o i_o and_o outward_a k_o k_o air_n save_v by_o the_o cavity_n of_o the_o pipe_n c_z d_o now_o we_o choose_v this_o glass_n a_o b_o more_o than_o ordinary_o capacious_a that_o the_o effect_n of_o the_o dilatation_n of_o the_o include_v air_n i_o i_o may_v be_v the_o more_o conspicuous_a then_o convey_v a_o convenient_a quantity_n of_o water_n h_n h_n into_o this_o glass_n we_o carry_v it_o to_o the_o lead_v of_o the_o lofty_a abby-church_n at_o westminster_n and_o there_o blue_a in_o a_o little_a air_n to_o raise_v the_o water_n to_o the_o upper_a part_n of_o the_o pipe_n that_o be_v above_o the_o vessel_n a_o b_o we_o may_v more_o precise_o mark_v the_o several_a station_n of_o the_o water_n then_o otherwise_o we_o can_v afterwards_o have_v suffer_v the_o glass_n to_o rest_v a_o pretty_a while_n upon_o the_o lead_n that_o the_o air_n i_o i_o within_o might_n be_v reduce_v to_o the_o same_o state_n both_z as_o to_o coldness_n and_o as_o to_o pressure_n with_o k_o k_o that_o without_o have_v mark_v the_o station_n of_o the_o water_n f_o we_o gentle_o let_v down_o the_o vessel_n by_o a_o long_a string_n to_o the_o foot_n of_o the_o wall_n where_o one_o attend_v to_o receive_v it_o who_o have_v suffer_v it_o to_o rest_n upon_o the_o ground_n cry_v to_o we_o that_o it_o be_v subside_v about_o a_o inch_n below_o the_o mark_n f_o we_o have_v put_v whereupon_o have_v order_v he_o to_o put_v a_o mark_n at_o this_o second_o station_n of_o it_o e_z we_o draw_v up_o the_o vessel_n again_o and_o suffer_v it_o to_o rest_v a_o while_n we_o observe_v the_o water_n to_o be_v reascended_n to_o or_o near_o the_o first_o mark_n f_o which_o be_v indeed_o about_o a_o inch_n above_o e_z the_o other_o and_o this_o we_o do_v that_o evening_n a_o second_o time_n with_o almost_o a_o like_a success_n though_o two_o or_o three_o day_n after_o the_o wind_n blow_v strong_o upon_o the_o lead_n we_o find_v not_o the_o experiment_n to_o succeed_v quite_o so_o regular_o as_o before_o yet_o the_o water_n always_o manifest_o fall_v low_o at_o the_o foot_n of_o the_o wall_n than_o it_o be_v at_o the_o top_n which_o i_o see_v no_o cause_n to_o ascribe_v bare_o to_o the_o differ_a temperature_n of_o the_o air_n above_o and_o below_o as_o to_o heat_n and_o cold_a since_o according_a to_o the_o general_a estimate_n the_o more_o elevate_a region_n of_o the_o air_n be_v caeteris_fw-la paribus_fw-la cold_o than_o that_o below_o which_o will_v rather_o check_v the_o great_a expansion_n of_o the_o include_v air_n at_o the_o top_n of_o the_o lead_v then_o promote_v it_o but_o the_o better_a to_o avoid_v mistake_n and_o prevent_v objection_n we_o think_v fit_a to_o try_v the_o experiment_n within_o the_o church_n and_o get_v into_o a_o gallery_n of_o the_o same_o height_n with_o the_o lead_v but_o the_o upper_a part_n of_o the_o pipe_n be_v casual_o break_v off_o we_o think_v fit_a to_o order_v the_o matter_n so_o that_o the_o surface_n g_z of_o the_o remain_a water_n in_o the_o pipe_n shall_v be_v about_o a_o inch_n high_o than_o the_o surface_n of_o the_o water_n in_o the_o vessel_n and_o then_o my_o abovementioned_a correspondent_n let_v down_o the_o glass_n almost_o as_o soon_o as_o it_o be_v settle_v upon_o the_o pavement_n kneel_v down_o to_o see_v how_o far_o it_o be_v subside_v i_o find_v that_o not_o only_o it_o be_v fall_v as_o low_a as_o the_o other_o water_n but_o that_o the_o outward_a air_n depress_v it_o so_o far_o as_o while_o i_o be_v look_v on_o to_o break_v in_o beneath_o the_o bottom_n of_o the_o pipe_n and_o ascend_v through_o the_o water_n in_o bubble_n after_o which_o the_o glass_n be_v draw_v up_o again_o my_o correspondent_a affirm_v that_o the_o water_n be_v very_o manifest_o reascended_n but_o because_o by_o the_o unlucky_a break_n of_o a_o glass_n we_o be_v hinder_v to_o observe_v as_o we_o design_v what_o will_v happen_v as_o well_o in_o a_o weatherglass_n so_o contrive_v that_o the_o weight_n or_o pressure_n of_o the_o atmosphere_n