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water_n little_a ounce_n put_v 4,027 5 5.6465 4 false
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ID Title Author Corrected Date of Publication (TCP Date of Publication) STC Words Pages
A67384 A discourse of gravity and gravitation, grounded on experimental observations, presented to the Royal Society, November 12. 1674 by John Wallis ... Wallis, John, 1616-1703.; Royal Society (Great Britain) 1675 (1675) Wing W574; ESTC R18644 25,475 42

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if_o the_o plain_a δδ_n fig._n 16._o be_v in_o all_o part_n equal_o press_v it_o be_v confess_o the_o same_o as_o if_o not_o press_v at_o all_o for_o so_o long_o there_o be_v no_o reason_n why_o one_o part_n shall_v rise_v rather_o than_o another_o and_o so_o it_o will_v be_v if_o d_o be_v just_a as_o heavy_a as_o so_o much_o water_n but_o if_o d_o be_v heavy_a than_o be_v that_o part_n of_o it_o overcharge_v just_o so_o much_o as_o d_o be_v heavy_a than_o so_o much_o water_n as_o will_v fill_v the_o place_n if_o this_o be_v absent_a and_o therefore_o if_o not_o relieve_v by_o so_o much_o weight_n in_o the_o scale_n b_o it_o will_v sink_v and_o just_o so_o much_o will_v serve_v at_o c_o that_o be_v it_o must_v weigh_v equal_o whether_o at_o the_o depth_n of_o c_o or_o d_o or_o any_o other_o depth_n but_o say_v he_o if_o the_o incumbent_a water_n do_v gravitate_fw-la on_o d_o it_o will_v more_o gravitate_fw-la on_z c_o because_o at_o a_o great_a depth_n true_o it_o do_v so_o but_o as_o the_o pressure_n at_o c_o be_v great_a than_o at_o d_o so_o be_v the_o counterpressure_n at_o χ_n more_o than_o at_o δ_n and_o just_o so_o much_o more_o so_o that_o whatever_o be_v the_o pregravitation_n at_o d_o must_v be_v the_o pregravitation_n at_o c_o also_o and_o it_o be_v the_o pregravitation_n only_o that_o be_v weigh_v just_o as_o when_o the_o scale_n a_o outweigh_v b_o by_o 5_o ounce_n and_o into_o each_o scale_n you_o put_v 10_o pound_n it_o will_v yet_o outweigh_v but_o just_a 5_o ounce_n as_o it_o do_v before_o so_o that_o his_o argument_n from_o this_o experiment_n will_v not_o hold_v against_o we_o and_o the_o solution_n he_o give_v will_v hold_v as_o little_a it_o be_v say_v he_o because_o the_o porringer_n drive_v up_o no_o more_o water_n out_o of_o its_o place_n at_o the_o one_o station_n than_o at_o the_o other_o but_o this_o be_v a_o mistake_n for_o while_o the_o pillar_n α_n c_o fig._n 16._o to_o make_v room_n for_o the_o porringer_n drive_v away_o the_o water_n from_o c_o to_o χ_n that_o at_o χ_n thrust_v up_o all_o above_o it_o as_o high_a as_o α_n to_o make_v room_n for_o itself_o as_o α_n d_o do_v all_o that_o over_o δ_n so_o that_o the_o water_n displace_v be_v not_o the_o same_o in_o both_o and_o therefore_o the_o porrigner_n if_o not_o assist_v by_o the_o incumbent_a water_n will_v not_o equal_o weigh_v in_o different_a depth_n contrary_a to_o his_o own_o experiment_n which_o therefore_o make_v against_o himself_o but_o the_o great_a plausible_a objection_n be_v that_o a_o man_n under_o water_n feel_v not_o the_o weight_n of_o it_o and_o why_o say_v he_o but_o because_o man_n body_n be_v heavy_a than_o so_o much_o water_n the_o water_n do_v not_o gravitate_fw-la on_o it_o but_o this_o reason_n be_v as_o the_o school_n speak_v non_fw-la causa_fw-la pro_fw-la causa_fw-la if_o the_o question_n be_v why_o the_o water_n do_v not_o raise_v the_o body_n as_o it_o will_v do_v so_o much_o wood_n the_o reason_n have_v be_v good_a because_o so_o 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in_o water_n he_o shall_v yet_o find_v the_o burden_n of_o the_o wood_n lay_v on_o his_o shoulder_n notwithstanding_o that_o both_o the_o man_n and_o all_o about_o he_o be_v proportionable_o heavy_a than_o wood._n and_o he_o shall_v equal_o feel_v it_o as_o if_o it_o be_v a_o equal_a weight_n of_o lead_n if_o both_o be_v above_o the_o water_n so_o that_o the_o circumjacent_a air_n be_v not_o that_o which_o make_v the_o wood_n weigh_v upon_o the_o man._n 2._o though_o the_o whole_a man_n be_v heavy_a than_o so_o much_o water_n yet_o many_o part_n of_o he_o be_v light_a and_o will_v of_o themselves_o swim_v in_o water_n though_o by_o their_o connexion_n with_o some_o heavy_a they_o be_v make_v to_o sink_v like_o wood_n tie_v to_o a_o piece_n of_o lead_n now_o all_o these_o part_n at_o least_o aught_o to_o feel_v pain_n if_o the_o specific_a gravity_n be_v the_o only_a cause_n of_o indolency_n but_o do_v not_o 3._o a_o man_n immerse_v in_o quicksilver_n which_o be_v a_o heavy_a fluid_n though_o he_o will_v thereby_o be_v boy_v up_o yet_o will_v he_o no_o more_o feel_v the_o incumbent_a weight_n than_o a_o like_a weight_n of_o water_n and_o though_o the_o experiment_n can_v so_o convenient_o be_v make_v in_o quicksilver_n as_o in_o water_n yet_o as_o to_o part_v it_o may_v be_v make_v by_o thrust_v the_o hand_n into_o quicksilver_n which_o shall_v no_o more_o be_v press_v by_o it_o than_o if_o thrust_v into_o a_o equivalent_a depth_n of_o water_n that_o be_v about_o 14_o time_n as_o deep_a and_o fly_n or_o other_o small_a animal_n immerse_v in_o quicksilver_n be_v not_o thereby_o press_v to_o death_n but_o do_v safe_o emerge_n to_o the_o top._n so_o that_o it_o be_v but_o a_o fancy_n to_o think_v that_o only_o the_o proportional_a or_o specific_a lightness_n of_o the_o water_n be_v the_o cause_n of_o that_o indolence_n since_o liquids_n proportionable_o heavy_a if_o not_o positive_o heavy_a will_v be_v feel_v as_o little_a 4._o let_v we_o suppose_v a_o invert_v syphon_n fig._n 17._o fill_v from_o a_o to_o b_o with_o quicksilver_n from_o thence_o to_o c_z with_o water_n so_o high_a as_o to_o balance_v the_o quicksilver_n at_o a._n if_o now_o oil_n which_o be_v light_a than_o either_o be_v pour_v on_o a_o i_o ask_v whether_o the_o quicksilver_n at_o a_o will_v not_o be_v thereby_o depress_v and_o that_o at_o b_o and_o c_o raise_v certain_o it_o will_n but_o why_o the_o oil_n can_v by_o their_o principle_n gravitate_fw-la on_o ab_fw-la because_o this_o be_v quicksilver_n nor_o yet_o as_o they_o speak_v mediate_o upon_o bc_n for_o even_o this_o be_v water_n and_o therefore_o heavy_a than_o oil_n no_o nor_o on_o the_o air_n above_o c_o for_o the_o oil_n at_o da_fw-la be_v already_o low_a than_o it_o and_o therefore_o can_v affect_v to_o possess_v its_o place_n it_o shall_v therefore_o by_o their_o principle_n not_o gravitate_fw-la at_o all_o since_o there_o be_v nothing_o below_o it_o light_a than_o itself_o on_o which_o it_o shall_v gravitate_fw-la yet_o gravitate_fw-la we_o see_v it_o will_v and_o thrust_v out_o of_o place_n that_o whole_a body_n abc_n notwithstanding_o if_o that_o be_v considerable_a the_o high_a position_n of_o c_o and_o its_o great_a specific_a heaviness_n and_o all_o this_o while_n the_o animal_n in_o bc_n shall_v remain_v unhurt_a notwithstanding_o there_o be_v not_o only_a gravitatio_fw-la ad_fw-la pondus_fw-la but_o gravitatio_fw-la ad_fw-la motum_fw-la too_o so_o that_o the_o notion_n of_o non-gravitation_a on_o a_o fluid_n not_o specifical_o light_a than_o itself_o be_v quite_o out_o of_o door_n and_o the_o truth_n be_v suppose_v abc_n to_o be_v in_o equipoise_n the_o superfusion_n of_o ad_fw-la will_n equal_o depress_v a_o whatever_o the_o liquor_n be_v if_o the_o weight_n be_v equal_a and_o ounce_n weight_n will_v still_o be_v a_o ounce_n weight_n and_o a_o ounce_n weight_n will_v just_o so_o much_o depress_v the_o quicksilver_n whether_o it_o be_v a_o ounce_n of_o wine_n water_n oil_n or_o quicksilver_n that_o be_v just_o so_o much_o as_o to_o thrust_v half_o that_o weight_n out_o of_o the_o leg_n of_o fig._n 17._o into_o the_o leg_n fc_n without_o any_o regard_n have_v to_o the_o specific_a gravity_n or_o levity_n of_o the_o liquor_n ad_fw-la which_o as_o to_o this_o point_n be_v of_o no_o consideration_n at_o all_o and_o if_o the_o high_a position_n of_o d_o above_o a_o be_v think_v of_o moment_n the_o high_a position_n of_o c_o above_o both_o must_v be_v so_o too_o and_o there_o will_v be_v nothing_o steady_a to_o fix_v upon_o but_o that_o the_o positive_a weight_n of_o df_n be_v at_o least_o in_o proportion_n to_o the_o bigness_n of_o the_o pipe_n
body_n it_o be_v that_o i_o intend_v principal_o to_o speak_v of_o which_o the_o first_o and_o great_a phoenomenon_n be_v this_o that_o they_o will_v if_o undisturbed_a reduce_v themselves_o by_o their_o own_o weight_n to_o a_o level_n that_o be_v to_o a_o horizontal_n plain_n or_o what_o as_o to_o sense_n be_v such_o and_o will_v so_o continue_v if_o either_o not_o press_v at_o all_o or_o equal_o press_v on_o all_o part_n as_o if_o the_o surface_n by_o any_o mean_n be_v undulous_a as_o abab_v in_o fig._n 2._o the_o prominence_n at_o a_o will_v sink_v to_o fill_v up_o the_o cavity_n at_o b_o till_o all_o come_v to_o the_o level_n of_o le._n and_o this_o they_o will_v do_v partly_o by_o spread_v abroad_o and_o flow_v into_o those_o cavity_n as_o low_a place_n and_o partly_o the_o whole_a be_v fluid_a by_o press_v down_o what_o be_v under_o a_o and_o press_v up_o what_o be_v under_o b_o in_o fig._n 3._o for_o though_o only_a the_o former_a of_o these_o will_v happen_v in_o case_n all_o under_o le_z in_o fig._n 4._o be_v a_o firm_a solid_a surface_n like_a as_o when_o water_n overflow_v the_o dry_a ground_n and_o fill_v up_o all_o the_o furrow_n and_o only_o the_o latter_a in_o case_n such_o prominence_n whether_o one_o or_o more_o be_v contain_v within_o solid_a pipe_n in_o fig._n 5._o so_o as_o that_o they_o can_v not_o flow_v lateral_o into_o the_o adjacent_a cavity_n yet_o in_o the_o present_a case_n where_o both_o occasion_n happen_v both_o cause_n will_v operate_v for_o nature_n do_v not_o work_v by_o election_n but_o ad_fw-la ultimum_fw-la virium_fw-la and_o all_o the_o way_n it_o can_v where_o one_o do_v not_o oppose_v the_o other_o and_o like_v as_o if_o a_o vessel_n have_v two_o hole_n the_o one_o at_o the_o side_n the_o other_o at_o the_o bottom_n the_o water_n will_v run_v out_o at_o both_o so_o the_o prominence_n at_o a_o be_v not_o hinder_v of_o either_o will_v partly_o by_o lateral_a fluxion_n partly_o by_o direct_a depression_n fill_v up_o the_o cavity_n of_o b_o in_o fig._n 5._o it_o be_v true_a that_o a_o solid_a body_n have_v opportunity_n of_o both_o because_o by_o reason_n of_o the_o coherence_n of_o part_n it_o can_v move_v but_o one_o way_n will_v move_v that_o way_n only_o which_o be_v most_o declive_a but_o a_o fluid_a body_n be_v partible_a in_o every_o point_n divide_v itself_o every_o way_n as_o there_o be_v opportunity_n now_o such_o fluid_a body_n be_v thus_o reduce_v to_o a_o level_n if_o undisturbed_a it_o will_v so_o remain_v in_o fig._n 6._o for_o there_o be_v now_o no_o prominence_n as_o at_o a_o in_o fig._n 2._o to_o sink_v or_o flow_v down_o nor_o cavity_n as_o at_o b_o to_o receive_v they_o nor_o be_v any_o part_n of_o it_o more_o press_v than_o other_o whereby_o that_o shall_v sink_v or_o this_o rise_n but_o if_o at_o some_o part_n as_o at_z d_o in_o fig._n 7._o by_o weight_n or_o other_o force_n it_o be_v press_v but_o not_o in_o other_o or_o more_o at_o d_o than_o at_o other_o it_o will_v at_o d_o subside_n or_o be_v depress_v and_o rise_v elsewhere_o in_o fig._n 8._o and_o what_o be_v thus_o show_v of_o the_o level_v le_z hold_v equal_o of_o any_o other_o level_n as_o f_o g._n within_o the_o fluid_a at_o what_o depth_n soever_o in_o fig._n 8._o if_o all_o part_n of_o it_o be_v equal_o press_v it_o keep_v its_o level_n but_o if_o some_o part_n of_o it_o be_v more_o than_o other_o those_o will_v subside_o and_o these_o rise_n because_o the_o weak_a force_n must_v give_v way_n to_o the_o strong_a the_o like_a happen_v in_o a_o syphon_n invert_v in_o fig._n 9_o where_o if_o the_o water_n be_v high_o in_o the_o one_o leg_n at_o a_o than_o in_o the_o other_o b_o that_o will_v sink_v and_o this_o rise_v till_o they_o come_v to_o a_o level_n at_o le_z and_o when_o so_o it_o will_v there_o rest_v if_o there_o be_v no_o other_o force_n to_o put_v it_o in_o motion_n so_o in_o a_o ewer_n fig._n 10._o or_o other_o vessel_n with_o a_o nose_n the_o water_n in_o the_o vessel_n if_o high_o 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that_o broad_a vessel_n than_o in_o the_o slender_a pipe_n and_o fluide_n will_v many_o time_n upon_o motion_n retain_v a_o undulation_n or_o dance_v up_o and_o down_o sometime_o above_o sometime_o below_o the_o true_a level_n for_o a_o considerable_a time_n before_o they_o rest_v upon_o a_o like_a reason_n that_o a_o pendulum_n will_v swing_n back_o and_o forth_o beyond_o the_o perpendicular_a on_o either_o side_n not_o by_o its_o weight_n simple_o consider_v which_o will_v rest_v precise_o at_o the_o perpendicular_a without_o rise_v on_o the_o other_o side_n but_o by_o reason_n of_o its_o contract_a impetus_fw-la but_o these_o and_o other_o little_a inequality_n which_o be_v to_o be_v account_v for_o from_o divers_a accident_n we_o here_o neglect_v and_o consider_v only_o what_o will_v be_v the_o result_n of_o the_o gravity_n and_o fluidity_n free_v from_o such_o other_o accident_n too_o copious_a here_o to_o be_v insist_v on_o our_o meaning_n therefore_o be_v that_o set_v aside_o other_o accident_n a_o fluid_a body_n will_n by_o its_o gravity_n reduce_v itself_o to_o such_o a_o level_n and_o be_v so_o reduce_v will_v so_o by_o counterpoise_n preserve_v itself_o if_o not_o disturb_v by_o other_o force_n but_o it_o be_v here_o object_v that_o water_n upon_o water_n do_v not_o gravitate_fw-la and_o the_o like_a of_o other_o not-springy_a fluide_n because_o a_o element_n say_v they_o do_v not_o gravitate_fw-la in_o its_o own_o place_n and_o for_o instance_n they_o tell_v we_o that_o a_o man_n under_o water_n feel_v not_o the_o weight_n of_o the_o water_n over_o he_o in_o fig._n 11._o before_o i_o direct_o answer_v this_o objection_n i_o have_v this_o to_o say_v to_o the_o principle_n
themselves_o and_o himself_o grant_v essay_n p._n 14._o that_o air_n in_o a_o bladder_n do_v gravitate_fw-la on_o water_n to_o avoid_v the_o pressure_n of_o these_o evidence_n it_o be_v now_o allege_a that_o the_o oil_n or_o water_n in_o the_o pipe_n a_o in_o fig._n 5._o though_o not_o intrinsical_o heavy_a yet_o it_o be_v high_a position_n give_v it_o a_o accidental_a weight_n more_o than_o that_o in_o the_o vessel_n and_o hence_o it_o come_v to_o pass_v that_o that_o do_v depress_v this._n but_o he_o do_v not_o consider_v that_o this_o do_v destroy_v the_o whole_a design_n of_o his_o second_o chapter_n which_o be_v to_o prove_v that_o c_o do_v not_o gravitate_fw-la on_o d_o nor_o d_o on_o e_z in_o fig._n 14_o that_o be_v that_o the_o upper_a part_n of_o the_o water_n do_v not_o gravitate_fw-la on_o the_o nether_a whereas_o if_o mere_o a_o high_a position_n will_v make_v it_o gravitate_fw-la and_o that_o not_o only_a ad_fw-la pondus_fw-la but_o ad_fw-la motum_fw-la also_o then_o must_v the_o water_n be_v in_o perpetual_a motion_n the_o upper_a part_n still_o press_v away_o the_o nether_a like_v as_o on_o another_o account_n it_o happen_v in_o boil_a water_n i_o mean_v when_o the_o fire_n be_v under_o it_o for_o if_o it_o be_v heat_v by_o fire_n above_o it_o the_o case_n be_v much_o alter_v which_o perpetual_a motion_n the_o say_a author_n there_o urge_v as_o a_o great_a absurdity_n yet_o i_o be_o not_o ignorant_a that_o mr._n boyle_n be_v indeed_o of_o opinion_n that_o in_o all_o fluid_v the_o minute_n part_n be_v in_o continual_a motion_n make_v this_o the_o specific_a nature_n of_o fluidity_n as_o contradistinct_a of_o fixedness_n but_o that_o be_v on_o another_o account_n and_o concern_v not_o this_o point_n at_o all_o it_o be_v not_o therefore_o safe_a for_o our_o antagonist_n to_o ascribe_v it_o only_o to_o the_o accidental_a weight_n of_o a_o high_a position_n nor_o be_v it_o sound_v so_o to_o do_v it_o be_v true_a that_o a_o different_a position_n may_v give_v to_o the_o same_o weight_n a_o different_a ponderation_n as_o for_o instance_n a_o weight_n at_o g_o in_o fig._n 15._o will_v ponderate_v more_o than_o at_o h_n not_o because_o high_a but_o because_o at_o g_o it_o be_v to_o descend_v direct_o but_o at_o h_n on_o a_o oblique_a plain_n which_o abate_v its_o force_n and_o do_v more_o abate_v it_o as_o it_o be_v more_o oblique_a and_o a_o weight_n at_o rest_n in_o f_o or_o e_o be_v of_o less_o force_n to_o move_v the_o balance_n than_o when_o from_o a_o it_o fall_v to_o e_o and_o less_o there_o than_o when_o it_o be_v fall_v to_o f_o and_o even_o this_o less_o than_o if_o it_o have_v be_v violent_o throw_v down_o because_o in_o the_o latter_a cse_n there_o be_v a_o great_a contract_a impetus_fw-la again_o at_o e_o or_o f_o it_o will_v ponderate_v more_o than_o at_o ay_o or_o k_o because_o those_o suspend_v at_o a_o be_v at_o a_o great_a distance_n from_o the_o centre_n c_o than_o those_o suspend_v at_o d_o the_o different_a position_n in_o all_o these_o and_o many_o other_o the_o like_a case_n give_v to_o the_o same_o weight_n a_o accidental_a additional_a force_n but_o a_o high_a position_n mere_o because_o high_a give_v no_o such_o advantage_n at_o all_o the_o weight_n at_o e_z be_v but_o just_a of_o the_o same_o force_n as_o at_o f_o and_o at_o ay_o as_o at_o k._n for_o the_o length_n or_o shortness_n of_o the_o string_n on_o which_o it_o hang_v do_v not_o at_o all_o alter_v the_o weight_n as_o be_v agree_v by_o all_o and_o experience_n testify_v the_o reason_n therefore_o of_o this_o phaenomenon_n be_v not_o because_o that_o at_o a_o in_o a_o high_a position_n be_v of_o a_o great_a weight_n than_o a_o like_a quantity_n at_o b_o but_o because_o the_o part_n at_o c_o in_o fig._n 5._o be_v more_o press_v than_o those_o at_o b_o as_o bear_v the_o weight_n of_o ca_n which_o b_o bear_v not_o whereby_o c_o be_v press_v down_o and_o b_o thereby_o press_v up_o but_o against_o this_o explication_n he_o bring_v a_o experiment_n on_o w_z ch_z he_o lay_v great_a weight_n a_o porringer_n fill_v with_o lead_n etc._n etc._n which_o in_o the_o air_n as_o at_o a_o weigh_v 78_o ounce_n weigh_v in_o the_o water_n about_o 68½_n ounce_n and_o the_o same_o weight_n it_o hold_v with_o some_o inconsiderable_a difference_n which_o he_o excuse_v whether_o at_o c_o the_o depth_n of_o 40_o or_o 25_o inch_n or_o at_o d_o the_o depth_n of_o but_o 12_o or_o scarce_o 1_o inch_n fig._n 16._o where_o he_o attempt_v the_o account_n of_o two_o phaenomena_n first_o why_o it_o weigh_v less_o in_o water_n than_o in_o air_n and_o second_o why_o it_o weigh_v alike_o at_o several_a depth_n in_o water_n why_o it_o shall_v weigh_v less_o in_o water_n than_o in_o air_n he_o ascribe_v to_o the_o resistance_n and_o crassitude_n of_o the_o water_n and_o he_o tell_v we_o elsewhere_o that_o if_o we_o strike_v with_o our_o hand_n the_o surface_n of_o water_n we_o shall_v find_v its_o resistance_n not_o much_o less_o than_o if_o we_o strike_v a_o board_n by_o which_o if_o he_o mean_v the_o viscosity_n or_o resistance_n to_o separation_n he_o speak_v not_o to_o the_o present_a purpose_n for_o as_o to_o that_o it_o be_v to_o be_v so_o far_o consider_v as_o a_o firm_a body_n not_o a_o fluid_a which_o be_v that_o we_o be_v now_o speak_v of_o but_o if_o he_o mean_v a_o resistance_n to_o be_v displace_v and_o thrust_v upward_o to_o make_v way_n for_o the_o porringer_n descent_n he_o say_v just_a the_o same_o thing_n with_o we_o for_o such_o resistance_n be_v proper_o gravitation_n and_o do_v countergravitate_fw-la to_o that_o of_o the_o porringer_n and_o take_v off_o so_o much_o of_o its_o praegravitation_n just_o as_o when_o the_o scale_n b_o fig._n 16._o by_o its_o gravitation_n resist_v the_o descent_n of_o a_o because_o a_o can_v descend_v without_o the_o ascent_n of_o b_o to_o which_o by_o reason_n of_o its_o gravitation_n it_o be_v averse_a and_o because_o the_o porringer_n can_v descend_v but_o by_o thrust_v up_o so_o much_o water_n the_o water_n must_v needs_o give_v so_o much_o resistance_n to_o this_o descent_n as_o it_o give_v to_o its_o own_o ascent_n that_o be_v so_o much_o as_o the_o weight_n of_o the_o water_n that_o must_v ascend_v and_o have_v just_a the_o same_o effect_n as_o if_o so_o much_o water_n be_v put_v into_o the_o scale_n b._n and_o just_o so_o much_o the_o porringer_n weigh_v less_o in_o the_o water_n than_o in_o the_o air._n and_o as_o to_o what_o he_o say_v of_o the_o great_a resistance_n which_o the_o hand_n find_v when_o we_o strike_v hard_o on_o the_o water_n we_o be_v to_o consider_v not_o only_o the_o weight_n of_o the_o water_n but_o the_o swiftness_n requisite_a to_o make_v way_n for_o the_o hand_n move_v so_o fast_o like_a as_o if_o a_o weight_n of_o 10_o pound_n hang_v in_o the_o air_n by_o a_o thread_n the_o least_o touch_n of_o the_o finger_n will_v move_v it_o slow_o but_o to_o move_v it_o 10_o time_n so_o fast_o will_v require_v a_o force_n 10_o time_n as_o strong_a and_o if_o you_o strike_v it_o hard_o with_o a_o swift_a stroke_n of_o the_o hand_n that_o which_o make_v very_o little_a resistance_n to_o a_o gentle_a touch_n will_v considerable_o withstand_v the_o stroke_n of_o a_o swift_a hand_n not_o because_o the_o weight_n be_v 10_o time_n heavy_a than_o before_o or_o do_v 10_o time_n as_o much_o resist_v motion_n but_o because_o it_o do_v 10_o time_n as_o much_o resist_v a_o motion_n 10_o time_n as_o swift_a now_o so_o much_o strength_n as_o be_v requisite_a to_o move_v so_o much_o water_n with_o so_o much_o swiftness_n as_o be_v necessary_a to_o make_v way_n for_o so_o swift_a a_o motion_n of_o the_o hand_n so_o much_o resistance_n must_v the_o water_n give_v to_o such_o a_o stroke_n from_o its_o own_o gravity_n without_o the_o assistance_n of_o the_o suppose_a crassitude_n or_o viscosity_n but_o when_o in_o the_o present_a case_n we_o consider_v how_o much_o the_o porringer_n weigh_v in_o water_n we_o consider_v only_o whether_o it_o remove_v so_o much_o weight_n though_o never_o so_o slow_o not_o with_o what_o swiftness_n it_o will_v remove_v it_o and_o as_o to_o that_o a_o very_a little_a weight_n more_o than_o what_o it_o move_v will_v suffice_v but_o his_o main_a objection_n lie_v in_o the_o other_o point_n that_o the_o porringer_n weigh_v as_o heavy_a at_o d_o the_o depth_n of_o 12_o or_o but_o of_o 1_o inch_n as_o at_o c_o the_o depth_n of_o 25_o or_o 40_o inch_n fig._n 16._o and_o just_o so_o say_v i_o it_o ought_v to_o be_v for_o every_o thing_n weigh_v in_o water_n just_a so_o much_o as_o its_o weight_n be_v heavy_a than_o so_o much_o water_n as_o for_o instance_n
more_o than_o that_o of_o fc_n that_o will_v thrust_v this_o away_o till_o they_o come_v to_o a_o equipoise_n it_o be_v true_a that_o if_o the_o specific_a gravity_n of_o the_o liquor_n ad_fw-la be_v great_a than_o that_o of_o the_o quicksilver_n in_o ab_fw-la there_o will_v upon_o another_o account_n have_v be_v some_o difference_n because_o then_o the_o heavy_a liquor_n be_v upmost_a it_o will_v not_o only_o press_v upon_o but_o press_v into_o the_o body_n of_o the_o light_a and_o they_o will_v by_o little_a and_o little_a shift_n place_n as_o when_o water_n be_v pour_v upon_o wine_n that_o will_v by_o little_a and_o little_o sink_v to_o the_o bottom_n and_o this_o rise_v because_o by_o such_o descent_n each_o particle_n thrust_v up_o a_o light_a body_n than_o itself_o but_o if_o the_o upper_a be_v light_a though_o it_o press_v on_o the_o hevier_n it_o can_v press_v into_o the_o heavy_a without_o thrust_v up_o a_o heavy_a body_n than_o itself_o and_o this_o i_o suppose_v if_o they_o will_v consider_v their_o own_o notion_n be_v that_o they_o mean_v when_o they_o say_v a_o light_a body_n do_v not_o gravitate_fw-la on_o a_o heavy_a and_o if_o so_o much_o oil_n be_v pour_v on_o a_o as_o to_o thrust_v the_o quicksilver_n beyond_o f_o some_o of_o that_o oil_n will_v pass_v by_o it_o into_o the_o other_o leg_n as_o high_a as_o c._n and_o in_o such_o case_n as_o these_o the_o specific_a gravity_n or_o levity_n be_v considerable_a but_o not_o as_o to_o the_o case_n in_o hand_n where_o a_o ounce_n of_o oil_n pour_v on_o a_o shall_v depress_v it_o just_a as_o much_o as_o a_o ounce_n of_o quicksilver_n will_v do_v and_o thrust_v up_o c_o just_a as_o high_a beside_o this_o of_o non-gravitation_a on_o a_o heavy_a body_n the_o same_o learned_a author_n have_v two_o expedient_n for_o salve_v the_o indolence_n of_o a_o man_n under_o water_n or_o his_o not_o feel_v pain_n by_o the_o weight_n of_o it_o the_o first_o be_v this_o suppose_v a_o brickwork_n as_o in_o fig._n 18._o but_o without_o mortar_n if_o some_o few_o brick_n be_v take_v out_o of_o the_o bottom_n there_o will_v not_o hereupon_o sink_v a_o pillar_n of_o that_o base_a but_o only_o a_o kind_a of_o pyramid_n the_o rest_n be_v in_o manner_n of_o a_o arch_n mutual_o support_v and_o thence_o he_o suppose_v that_o those_o middle_a brick_n do_v not_o bear_v the_o weight_n of_o a_o column_n but_o only_o of_o a_o pyramid_n which_o pyramid_n if_o take_v away_o the_o rest_n will_v not_o gravitate_fw-la upon_o that_o cavity_n and_o in_o like_a manner_n he_o suppose_v it_o must_v be_v if_o for_o brick_n be_v grain_n of_o wheat_n yea_o of_o sand_n and_o consequent_o of_o lesser_a particle_n and_o even_o those_o of_o water_n which_o he_o suppose_v will_v thus_o support_v each_o other_o without_o gravitate_v on_o those_o under_o they_o but_o he_o proceed_v upon_o several_a mistake_n first_o he_o suppose_v that_o because_o those_o middle_a brick_n be_v take_v away_o the_o rest_n do_v not_o fall_v therefore_o when_o they_o be_v there_o they_o bear_v nothing_o of_o that_o weight_n which_o be_v just_a as_o if_o he_o shall_v argue_v because_o when_o a_o beam_n in_o fig._n 19_o be_v support_v by_o three_o post_n if_o the_o middle_a post_n be_v remove_v it_o will_v not_o fall_v therefore_o while_o it_o be_v there_o it_o do_v bear_v nothing_o of_o the_o beam_n weight_n or_o because_o a_o table_n in_o fig._n 20._o support_v by_o five_o or_o six_o leg_n will_v stand_v though_o any_o one_o of_o they_o be_v take_v away_o therefore_o that_o leg_n do_v bear_v nothing_o and_o consequent_o because_o that_o leg_n be_v any_o leg_n therefore_o none_o of_o they_o do_v bear_v any_o weight_n whereas_o while_o all_o be_v there_o each_o do_v bear_v its_o part_n and_o thereby_o ease_v the_o rest_n which_o in_o the_o absence_n of_o one_o must_v now_o bear_v the_o more_o and_o if_o the_o whole_a space_n under_o it_o be_v fill_v up_o with_o such_o support_v or_o which_o will_v be_v equivalent_a a_o entire_a body_n of_o that_o breadth_n each_o will_v bear_v without_o any_o considerable_a difference_n just_o so_o much_o as_o what_o be_v just_a over_o it_o and_o such_o be_v the_o case_n of_o fluids_n only_o this_o i_o add_v that_o if_o one_o of_o the_o leg_n shall_v be_v too_o weak_a to_o bear_v its_o proportional_a part_n yet_o if_o the_o rest_n be_v as_o much_o more_o than_o able_a to_o bear_v their_o that_o weak_a one_o will_v not_o break_v be_v relieve_v by_o the_o rest_n second_o admit_v that_o in_o brik-work_n it_o will_v so_o be_v yet_o it_o be_v only_o upon_o this_o account_n because_o those_o part_n of_o the_o brick_n which_o hang_v over_o be_v coherent_a with_o the_o part_n support_v and_o can_v fall_v without_o break_v the_o brick_n but_o if_o they_o be_v as_o easy_o separable_a part_n from_o part_n as_o brick_n from_o brick_n which_o be_v the_o case_n of_o fluids_n those_o part_n will_v fall_v as_o well_o as_o the_o middle_a brick_n and_o consequent_o not_o a_o pyramid_n but_o a_o column_n or_o rather_o more_o again_o three_o whereas_o he_o argue_v from_o brick_n to_o grain_n of_o wheat_n and_o from_o thence_o to_o sand_n the_o consequence_n will_v not_o hold_v for_o the_o short_a his_o brick_n be_v the_o less_o will_v hang_v over_o in_o each_o layer_n as_o if_o now_o for_o instance_n each_o brick_n lie_v two_o inch_n over_o if_o the_o brick_n be_v but_o half_a so_o long_o each_o will_v lie_v over_o but_o one_o inch_n and_o consequent_o suppose_v their_o thickness_n the_o same_o the_o pyramid_n on_o that_o base_a will_v be_v twice_o as_o great_a because_o twice_o as_o tall_a and_o still_o as_o the_o over-hanging_n decrease_v that_o pyramid_n increase_v till_o at_o length_n when_o those_o over-hanging_n come_v to_o nothing_o which_o be_v the_o case_n of_o fluids_n the_o pyramid_n become_v a_o column_n or_o even_o more_o than_o so_o and_o if_o in_o a_o heap_n of_o wheat_n fig._n 21._o as_o here_o in_o a_o pile_n of_o brick_n he_o remove_v so_o much_o of_o the_o bottom_n he_o will_v find_v that_o instead_o of_o a_o pyramid_n on_o that_o base_a there_o will_v fall_v down_o more_o than_o a_o column_n part_n of_o a_o invert_v pyramid_n and_o the_o more_o such_o heap_n approach_v to_o the_o nature_n of_o fluids_n the_o more_o will_v it_o be_v so_o so_o that_o by_o this_o argument_n if_o there_o be_v not_o another_o expedient_a of_o which_o i_o shall_v speak_v by_o and_o by_o the_o low_a part_n must_v bear_v not_o less_o but_o more_o than_o the_o column_n incumbent_a on_o they_o and_o if_o he_o find_v it_o otherwise_o in_o a_o tube_n fill_v with_o moist_a calice-sand_n this_o be_v not_o because_o that_o above_o do_v not_o gravitate_fw-la but_o because_o it_o be_v so_o wedge_v in_o that_o it_o can_v not_o fall_v which_o in_o perfect_a fluid_n we_o be_v not_o to_o suppose_v last_o he_o do_v by_o this_o explication_n destroy_v his_o own_o hypothesis_n for_o he_o grant_v in_o a_o pail_n of_o water_n for_o instance_n that_o all_o the_o part_n as_o well_o upper_a as_o low_o do_v gravitate_fw-la on_o the_o bottom_n though_o not_o each_o on_o other_o whereas_o if_o those_o upper_a part_n be_v so_o support_v as_o in_o his_o brick-arch_n as_o not_o to_o gravitate_fw-la on_o the_o cavity_n much_o less_o will_v they_o gravitate_fw-la on_o the_o bottom_n under_o that_o cavity_n and_o if_o as_o he_o suppose_v a_o great_a heap_n of_o wheat_n will_v not_o break_v a_o empty_a eggshell_n it_o be_v not_o because_o the_o wheat_n want_v weight_n or_o gravitation_n but_o because_o the_o grain_n be_v so_o entangle_v as_o not_o to_o fall_v right_o down_o like_v as_o in_o a_o heap_n of_o bush_n one_o will_v bear_v up_o another_o though_o all_o do_v gravitate_fw-la but_o in_o liquid_n it_o be_v otherwise_o which_o we_o suppose_v partible_a in_o every_o point_n but_o however_o this_o of_o the_o eggshell_n happen_v to_o prove_v it_o serve_v not_o his_o hypothesis_n at_o all_o for_o the_o air_n in_o the_o eggshell_n be_v light_a than_o the_o wheat_n that_o lie_v on_o it_o this_o aught_o to_o gravitate_fw-la by_o his_o own_o principle_n and_o to_o break_v the_o eggshell_n if_o by_o arch-work_n the_o eggshell_n be_v defend_v this_o be_v not_o for_o want_v of_o gravitation_n but_o because_o that_o gravitation_n be_v surmount_v by_o a_o great_a strength_n like_a as_o when_o a_o great_a weight_n hang_v on_o a_o strong_a tack_v or_o a_o heavy_a scale_n support_v by_o as_o great_a a_o weight_n in_o the_o other_o or_o by_o a_o support_n underneath_o and_o a_o thousand_o other_o the_o like_a accident_n his_o other_o expedient_a be_v from_o the_o lateral_a pressure_n which_o he_o suppose_v all_o fluid_n to_o have_v whereby_o he_o suppose_v the_o perpendicular_a pressure_n to_o be_v
or_o a_o syphon_n invert_v fig._n 28_o 29._o the_o fluid_a at_o a_o by_o sink_v itself_o will_v raise_v that_o at_o b_o to_z the_o level_v le_z then_o in_o case_n the_o nose_n at_o b_o be_v not_o so_o high_a the_o liquor_n if_o not_o otherwise_o stop_v must_v needs_o run_v over_o and_o if_o any_o shall_v say_v the_o reason_n hereof_o be_v because_o the_o air_n at_o b_o fly_n away_o by_o its_o levity_n and_o the_o water_n follow_v to_o avoid_v a_o vacuity_n he_o will_v hardly_o be_v assent_v to_o by_o those_o who_o see_v a_o visible_a weight_n or_o force_n at_o a_o to_o over-press_a it_o and_o thrust_v it_o out_o and_o for_o the_o same_o reason_n if_o the_o nose_n or_o pipe_n before_o it_o come_v to_o the_o height_n of_o e_o be_v recurvate_a fig._n 30_o 31._o and_o turn_v down_o to_o o_o that_o which_o will_v have_v run_v over_o at_o b_o will_n now_o run_v out_o at_o o_o be_v thrust_v up_o to_o b_o by_o the_o weight_n of_o a_o and_o fall_v down_o from_o thence_o by_o its_o own_o weight_n but_o in_o case_n a_o be_v low_a than_o b_o fig._n 32._o and_o the_o fluid_a uniform_o heavy_a a_o will_v not_o be_v able_a to_o drive_v it_o up_o to_o b_o much_o less_o make_v it_o there_o run_v over_o or_o turn_v about_o to_o o_o but_o contrariwise_a if_o it_o be_v full_a to_o b_o this_o will_v praeponderate_v and_o raise_v that_o at_o a._n yet_o if_o ac_fw-la be_v a_o heavy_a fluid_n suppose_v quicksilver_n &_o cb_n a_o light_a as_o wine_n or_o water_n the_o effect_n will_v follow_v as_o before_o till_o the_o great_a height_n of_o cb_n do_v countervail_v the_o great_a heaviness_n of_o ac_fw-la and_o contrariwise_a if_o ac_fw-la be_v specifical_o light_a than_o cb_n fig._n 33._o suppose_v that_o water_n and_o this_o quicksilver_n then_o must_v that_o be_v in_o such_o proportion_n high_a than_o this_o or_o else_o it_o will_v not_o rise_v to_o b_o nor_o run_v out_o at_o o._n but_o if_o ac_fw-la be_v high_o than_o in_o such_o proportion_n the_o effect_n will_v follow_v from_o the_o praegravitation_n of_o a_o without_o have_v recourse_n to_o a_o fuga_fw-la vacui_fw-la and_o thus_o far_o the_o ancient_n will_v agree_v with_o we_o for_o they_o never_o fly_v to_o a_o fuga_fw-la vacui_fw-la so_o long_o as_o there_o be_v visible_a weight_n or_o force_n to_o thrust_v up_o the_o fluid_a but_o that_o which_o give_v occasion_n to_o introduce_v this_o notion_n of_o fuga_fw-la vacui_fw-la be_v but_o these_o two_o experiment_n and_o such_o as_o be_v reducible_a thereunto_o wherein_o for_o want_v of_o a_o force_n to_o raise_v liquid_n by_o way_n of_o trusion_n they_o have_v recourse_n to_o this_o of_o traction_n ne_fw-la detur_fw-la vacuum_fw-la the_o first_o that_o of_o suction_n in_o pump_n syringe_n and_o other_o the_o like_a occasion_n the_o other_o be_v that_o of_o a_o syphon_n whereby_o liquor_n be_v carry_v over_o considerable_a height_n above_o their_o level_n for_o if_o the_o nose_n of_o a_o syringe_n be_v immerse_v in_o water_n as_o at_o b_o fig._n 34._o and_o the_o handle_n or_o embolus_fw-la be_v draw_v back_o the_o water_n or_o other_o fluid_a will_v follow_v it_o from_o b_o into_z d_o which_o be_v contrary_a to_o the_o nature_n of_o a_o heavy_a body_n and_o no_o other_o force_n appear_v to_o thrust_v it_o up_o it_o be_v imagine_v that_o nature_n abhor_v a_o vacuum_n and_o this_o make_v the_o liquor_n rise_v contrary_a to_o its_o particular_a propension_n to_o which_o fuga_fw-la vacui_fw-la as_o it_o be_v wont_a to_o be_v call_v linus_n of_o late_a and_o some_o other_o after_o he_o have_v give_v the_o name_n funiculus_fw-la and_o the_o like_a be_v to_o be_v say_v of_o all_o sort_n of_o pump_n and_o other_o the_o like_a engine_n which_o draw_v water_n by_o way_n of_o suction_n and_o as_o to_o the_o syphon_n if_o the_o end_n c_o be_v immerse_v in_o water_n or_o other_o liquor_n fig._n 35._o though_o b_o the_o top_n of_o the_o syphon_n be_v much_o high_a than_o a_o the_o surface_n of_o the_o liquor_n yet_o if_o o_o be_v low_a than_o a_o though_o it_o will_v not_o of_o itself_o begin_v to_o run_v yet_o if_o by_o suction_n or_o otherwise_o it_o be_v set_v a_o run_a this_o current_n will_v continue_v till_o either_o a_o be_v sink_v so_o low_a as_o to_o let_v in_o air_n at_o c_o or_o be_v low_a than_o the_o outward_a orifice_n o._n the_o reason_n whereof_o say_v they_o since_o there_o appear_v not_o any_o force_n to_o thrust_v it_o up_o must_v needs_o be_v this_o boy_n flow_v out_o by_o its_o own_o weight_n if_o cb_n do_v not_o follow_v it_o contrary_a to_o the_o propension_n of_o its_o own_o gravity_n a_o vacuum_n must_v needs_o ensue_v which_o therefore_o they_o suppose_v nature_n do_v abhor_v for_o answer_v i_o say_v first_o there_o be_v no_o other_o foundation_n in_o nature_n to_o prove_v this_o abhorrence_n but_o only_o these_o experiment_n and_o this_o not_o otherwise_o know_v but_o be_v only_o invent_v as_o a_o expedient_a to_o serve_v a_o turn_n if_o we_o can_v otherwise_o solve_v the_o phaenomenon_n and_o show_v a_o force_n which_o they_o do_v not_o think_v of_o there_o will_v be_v no_o need_n of_o this_o expedient_a at_o all_o and_o this_o abhorrence_n must_v be_v either_o gratis_o dictum_fw-la without_o any_o cogent_a proof_n or_o some_o other_o evidence_n must_v be_v show_v for_o it_o than_o those_o who_o do_v introduce_v it_o be_v aware_a of_o for_o all_o the_o subsidiary_a proof_n of_o late_o invent_v be_v not_o the_o ground_n of_o introduce_v the_o opinion_n and_o therefore_o without_o dispute_v whether_o nature_n can_v or_o can_v admit_v a_o vacuum_n i_o shall_v only_o show_v that_o there_o be_v no_o need_n of_o that_o notion_n as_o to_o this_o business_n next_o that_o this_o fuga_fw-la vacui_fw-la be_v not_o the_o cause_n of_o water_n thus_o rise_v in_o a_o pump_n or_o syphon_n i_o thus_o argue_v for_o if_o so_o it_o ought_v to_o hold_v to_o any_o height_n whatever_o a_o pump_n for_o instance_n must_v draw_v water_n a_o hundred_o foot_n high_a and_o a_o syphon_n convey_v water_n over_o the_o high_a hill_n or_o tower_n for_o the_o argument_n equal_o hold_v whether_o the_o height_n of_o b_o be_v two_o foot_n or_o two_o hundred_o foot_n if_o boy_n flow_v out_o and_o cb_n not_o follow_v a_o vacuum_n must_v ensue_v equal_o in_o either_o case_n and_o the_o consequence_n of_o this_o argument_n be_v so_o clear_a that_o in_o confidence_n thereof_o the_o ancient_n do_v not_o doubt_v but_o that_o it_o will_v be_v so_o none_o that_o we_o know_v of_o till_o galilaeo_n time_n have_v ever_o question_v it_o or_o assign_v any_o determinate_a height_n beyond_o which_o a_o pump_n will_v not_o draw_v water_n or_o over_o which_o a_o syphon_n will_v not_o convey_v it_o and_o it_o be_v a_o surprise_a discovery_n and_o whole_o unexpected_a when_o about_o the_o end_n of_o the_o last_o century_n it_o be_v first_o find_v out_o by_o experience_n that_o water_n can_v not_o thus_o be_v draw_v high_a than_o about_o 34_o foot_n i_o say_v about_o 34_o foot_n not_o just_a so_o much_o because_o that_o alter_v with_o the_o temperature_n of_o the_o air._n when_o the_o air_n be_v very_a light_n it_o will_v not_o much_o exceed_v 32_o foot_n when_o very_o heavy_a it_o may_v reach_v 35_o foot_n which_o experiment_n alone_o do_v evident_o evince_v that_o the_o suppose_a fuga_fw-la vacui_fw-la be_v not_o of_o a_o infinite_a but_o of_o a_o determinate_a strength_n which_o put_v galileo_n upon_o the_o inquiry_n whether_o it_o be_v not_o from_o some_o other_o cause_n than_o fuga_fw-la vacui_fw-la that_o it_o will_v be_v draw_v so_o high_a but_o not_o high_o and_o he_o happy_o light_v on_o this_o hypothesis_n of_o the_o counter-gravitation_a of_o the_o incumbent_n air._n the_o same_o have_v be_v since_o improve_v by_o torricellio_n and_o other_o after_o he_o who_o rational_o argue_v that_o if_o such_o counter-gravitation_a of_o the_o air_n will_v countervail_v the_o weight_n of_o 34_o foot_n of_o water_n it_o ought_v in_o light_a liquor_n countervail_v a_o great_a height_n and_o a_o less_o height_n in_o heavy_a and_o find_v upon_o experiment_n that_o so_o it_o be_v if_o some_o little_a difference_n chance_n to_o be_v sometime_o discover_v it_o be_v to_o be_v account_v for_o from_o some_o different_a constitution_n of_o the_o air_n about_o we_o or_o other_o little_a accident_n too_o many_o to_o be_v here_o recount_v and_o particular_o that_o as_o water_n will_v be_v so_o raise_v about_o 34_o foot_n so_o quicksilver_n to_o the_o height_n of_o about_o 29_o inch_n and_o no_o more_o i_o mean_v 28_o 29_o or_o 30_o as_o the_o air_n temperature_n do_v vary_v which_o agree_v with_o the_o proportion_n of_o the_o specific_a weight_n of_o those_o liquid_n quicksilver_n be_v near_o upon_o 14_o time_n as_o heavy_a