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end_n low_a part_n upper_a 1,487 5 9.1326 5 false
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ID Title Author Corrected Date of Publication (TCP Date of Publication) STC Words Pages
A28989 Hydrostatical paradoxes made out by new experiments, for the most physical and easie / by Robert Boyle ... Boyle, Robert, 1627-1691. 1666 (1666) Wing B3985; ESTC R17464 84,560 288

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turpentine_n with_o a_o care_n not_o to_o unstop_v the_o upper_a orifice_n till_o the_o small_a cylinder_n of_o quicksilver_n be_v 18_o or_o 20_o time_n its_o depth_n beneath_o the_o surface_n of_o the_o oil_n for_o by_o this_o mean_n when_o i_o unstop_v the_o pipe_n the_o quicksilver_n need_v not_o as_o otherwise_o it_o will_v begin_v to_o fall_v as_o have_v a_o long_o cylinder_n than_o be_v requisite_a to_o make_v a_o aequilibrium_fw-la with_o the_o other_o fluid_fw-la for_o by_o our_o expedient_a the_o pressure_n of_o the_o oil_n be_v already_o full_a as_o great_a if_o not_o great_a against_o the_o low_a part_n of_o the_o mercurial_a cylinder_n as_o that_o which_o the_o weight_n of_o so_o short_a a_o cylinder_n can_v exercise_v upon_o the_o contiguous_a and_o subjacent_a oil_n and_o according_o upon_o the_o removal_n of_o my_o finger_n the_o quicksilver_n do_v not_o run_v out_o but_o remain_v suspend_v in_o the_o low_a part_n of_o the_o pipe_n and_o as_o if_o i_o raise_v it_o 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pipe_n a_o little_a deep_o you_o will_v so_o the_o oil_n in_o the_o short_a leg_n to_o begin_v to_o be_v depress_v so_o if_o afterward_o you_o gentle_o raise_v the_o pipe_n towards_o the_o top_n of_o the_o water_n you_o shall_v see_v the_o oil_n not_o only_o regain_v its_o former_a station_n but_o flow_v out_o by_o degree_n in_o drop_n that_o will_v emerge_n to_o the_o top_n of_o the_o water_n now_o since_o the_o water_n be_v able_a at_o first_o to_o keep_v the_o oil_n in_o the_o long_a leg_n of_o the_o pipe_n suspend_v no_o high_a than_o it_o will_v have_v be_v keep_v by_o a_o cylinder_n of_o water_n equal_a to_o the_o orifice_n of_o the_o short_a leg_n of_o the_o pipe_n and_o reach_v direct_o thence_o to_o the_o top_n of_o the_o water_n as_o may_v be_v easy_o cry_v by_o make_v a_o syphon_n where_o the_o short_a leg_n may_v be_v long_o enough_o to_o contain_v such_o a_o cylinder_n of_o water_n to_o conterpoize_v the_o oil_n in_o the_o long_o &_o since_o when_o once_o by_o the_o raise_n of_o the_o pipe_n the_o height_n of_o the_o incumbent_a water_n be_v lessen_v the_o oil_n do_v more_o than_o counterbalance_n it_o as_o appear_v by_o its_o flow_v out_o of_o the_o syphon_n we_o may_v well_o conclude_v that_o though_o thence_o be_v in_o the_o vessel_n a_o great_a deal_n of_o water_n high_a than_o the_o immersed_a orifice_n of_o the_o syphon_n and_o it_o will_v be_v all_o one_o though_o the_o syphon_n be_v placid_a at_o the_o same_o depth_n in_o a_o pond_n or_o lake_n yet_o of_o all_o that_o water_n no_o more_o do_v gravitate_fw-la upon_o the_o orifice_n then_o that_o which_o be_v place_v direct_o over_o it_o which_o be_v such_o a_o pillat_n of_o water_n as_o the_o paradox_n describe_v and_o by_o the_o way_n we_o may_v hence_o learn_v that_o though_o water_n be_v not_o include_v in_o pipe_n yet_o it_o may_v press_v as_o regular_o upon_o a_o subjacent_a body_n as_o if_o it_o be_v and_o therefore_o we_o may_v well_o enough_o conceive_v a_o pillar_n of_o water_n in_o the_o free_a water_n itself_o where_o there_o be_v nothing_o on_o any_o side_n but_o the_o contiguous_a water_n to_o bound_v the_o imaginary_a pillar_n but_o i_o have_v forget_v to_o add_v that_o the_o first_o part_n of_o our_o paradox_n will_v hold_v not_o only_a when_o the_o water_n superior_a to_o the_o body_n it_o press_v upon_o be_v free_a but_o also_o when_o it_o be_v include_v in_o vessel_n of_o never_o so_o seem_o disadvantageous_a a_o shape_n for_o if_o you_o so_o frame_v the_o short_a leg_n of_o a_o syphon_n that_o it_o may_v expand_v its_o self_n into_o a_o funnel_n like_o that_o of_o fig._n 6._o employ_v about_o the_o proof_n of_o the_o forego_n
angle_n with_o the_o superficies_n of_o the_o water_n a_o b_o tho_o by_o this_o mean_v the_o short_a and_o immersed_a leg_n f_o g_o will_v in_o situation_n sometime_o respect_v the_o bottom_n and_o sometime_o the_o top_n of_o the_o glass_n yet_o in_o all_o these_o oblique_a situation_n of_o this_o leg_n and_o the_o immersed_a orifice_n of_o it_o g_o the_o oblique_a pressure_n of_o the_o water_n will_v so_o much_o depend_v upon_o the_o height_n of_o the_o surface_n of_o the_o liquor_n above_o the_o orifice_n and_o so_o much_o conform_v to_o the_o observation_n already_o deliver_v that_o you_o shall_v still_o see_v the_o surface_n of_o the_o oil_n i_o k_n in_o the_o long_a pipe_n to_o be_v a_o little_a and_o but_o a_o little_a superior_a to_o that_o of_o the_o external_a water_n a_o b_o and_o so_o the_o aequilibrium_fw-la betwixt_o the_o liquor_n or_o liquor_n within_o the_o syphon_n and_o the_o water_n without_o it_o will_v even_o in_o this_o case_n also_o be_v maintain_v scholium_fw-la remember_v on_o this_o occasion_n a_o experiment_n which_o though_o it_o do_v not_o show_v what_o the_o precise_a quantity_n of_o lateral_a pressure_n be_v that_o the_o low_a part_n of_o the_o fluid_n may_v sustain_v from_o the_o more_o elevate_v yet_o it_o may_v confirm_v the_o forego_n paradox_n and_o by_o its_o phaenomena_n afford_v some_o hint_n that_o may_v render_v it_o not_o unacceptable_a i_o shall_v subjoin_v it_o as_o i_o set_v it_o down_o not_o long_o after_o i_o devise_v it_o in_o the_o first_o place_n then_o there_o be_v make_v a_o glass_n bubble_n with_o a_o slender_a neck_n and_o in_o a_o word_n of_o the_o figure_n express_v in_o the_o annex_v scheme_n 14._o this_o bubble_n i_o cause_v to_o be_v so_o poise_v that_o though_o it_o will_v float_v upon_o the_o water_n yet_o the_o addition_n of_o a_o weight_n small_a enough_o will_v suffice_v to_o make_v it_o sink_v this_o do_v i_o provide_v a_o very_a large_a wide_a mouth_a glass_n and_o cause_v to_o be_v fit_v to_o it_o as_o exact_o as_o i_o can_v a_o stopple_n of_o cork_n which_o be_v strong_o thrust_v in_o will_v not_o easy_o be_v list_v up_o in_o the_o middle_n of_o this_o cork_n there_o be_v burn_v with_o a_o heat_a instrument_n a_o round_a hole_n through_o which_o be_v thrust_v a_o long_a slender_a pipe_n of_o glass_n so_o that_o the_o low_a end_n of_o it_o be_v a_o pretty_a way_n beneath_o the_o cork_n and_o the_o upper_a part_n of_o it_o be_v as_o near_o as_o can_v be_v at_o right_a angle_n with_o the_o upper_a part_n of_o the_o say_a cork_n and_o in_o a_o other_o part_n of_o the_o stopple_n near_o the_o edge_n there_o be_v make_v another_o round_a hole_n into_o which_o be_v likewise_o thrust_v another_o small_a pipe_n who_o low_a part_n reach_v also_o a_o pretty_a way_n beneath_o the_o cork_n but_o its_o upper_a part_n be_v but_o about_o two_o or_o three_o inch_n high_a and_o the_o orifice_n of_o this_o upper_a part_n be_v careful_o close_v with_o a_o stopple_n and_o cement_v then_o the_o glass_n vessel_n be_v fill_v with_o water_n and_o the_o poise_v bubble_n be_v make_v to_o float_v upon_o it_o the_o stopple_n or_o cover_v of_o the_o great_a glass_n vessel_n be_v put_v on_o and_o make_v fast_o with_o a_o close_a cement_n that_o nothing_o may_v get_v in_o or_o out_o of_o the_o vessel_n but_o at_o the_o long_a slender_a pipe_n which_o be_v fasten_v into_o the_o cork_n as_o be_v also_o the_o short_a pipe_n not_o only_o by_o its_o own_o fitness_n to_o the_o hole_n it_o pass_v through_o but_o by_o a_o sufficient_a quantity_n of_o the_o same_o cement_n careful_o apply_v to_o stop_v all_o crevess_n the_o instrument_n thus_o prepare_v and_o incline_v this_o or_o that_o way_n till_o the_o float_a bubble_n be_v at_o a_o good_a distance_n from_o that_o end_n of_o the_o long_a pipe_n which_o reach_v a_o pretty_a way_n downward_o beneath_o the_o surface_n of_o the_o water_n we_o begin_v to_o pour_v in_o some_o of_o that_o liquor_n at_o the_o open_a orifice_n of_o the_o pipe_n e_o f_o and_o the_o mouth_n of_o the_o vessel_n be_v exact_o stop_v the_o water_n for_o want_v of_o another_o place_n to_o receive_v it_o ascend_v into_o the_o pipe_n through_o which_o it_o have_v fall_v before_o and_o if_o i_o hold_v my_o hand_n when_o the_o water_n i_o have_v pour_v in_o be_v able_a to_o reach_v but_o to_o a_o small_a height_n in_o the_o cylinder_n as_o for_o instance_n to_o the_o superficies_n i_o the_o bubble_n x_o will_v yet_o continue_v float_v but_o if_o i_o continue_v pour_v till_o the_o water_n in_o the_o pipe_n have_v attain_v to_o a_o considerable_a height_n above_o the_o surface_n of_o that_o in_o the_o vessel_n as_o if_o it_o reach_v to_o k_o then_o the_o bubble_n x_o will_v present_o sink_v to_o the_o bottom_n of_o the_o vessel_n and_o there_o continue_v as_o long_o as_o as_o the_o water_n continue_v at_o so_o great_a a_o height_n in_o the_o pipe_n e._n f._n this_o experiment_n will_v not_o only_o teach_v we_o that_o the_o upper_a part_n of_o the_o water_n gravitate_fw-la upon_o those_o that_o be_v under_o they_o but_o which_o be_v the_o thing_n we_o be_v now_o to_o confirm_v that_o in_o a_o vessel_n that_o be_v full_a all_o the_o low_a part_n be_v press_v by_o the_o upper_a though_o these_o low_a be_v not_o direct_o beneath_o the_o upper_a but_z aside_o of_o they_o and_o perhaps_o at_o a_o good_a distance_n from_o the_o line_n in_o which_o they_o direct_o press_v these_o thing_n i_o say_v may_v be_v make_v out_o by_o our_o experiment_n for_o the_o addition_n of_o the_o cylinder_n of_o water_n k_o i_o in_o the_o pipe_n e_o f_o make_v the_o bubble_n x_o subside_n as_o the_o force_n or_o pressure_n of_o any_o other_o heavy_a body_n upon_o the_o water_n in_o the_o vessel_n will_v do_v and_o since_o as_o may_v be_v gather_v from_o the_o reason_n former_o give_v in_o the_o proof_n of_o the_o second_o paradox_n of_o the_o sink_n of_o poise_v bubble_n the_o include_v air_n in_o our_o bubble_n be_v notable_o compress_v it_o will_v follow_v that_o the_o cylinder_n of_o water_n ki_n do_v press_v the_o subjacent_a water_n in_o the_o vessel_n for_o without_o so_o do_v it_o can_v not_o be_v able_a to_o compress_v the_o air_n in_o the_o bubble_n and_o since_o the_o say_a bubble_n do_v not_o swim_v direct_o under_o or_o near_o the_o pipe_n e_o f_o but_o at_o one_o side_n of_o it_o and_o at_o a_o pretty_a distance_n from_o it_o nay_o and_o float_v above_o the_o low_a orifice_n f_o of_o the_o pipe_n it_o be_v evident_a that_o that_o aqueous_a cylinder_n jk_n do_v not_o only_o press_v upon_o the_o water_n or_o other_o body_n that_o be_v direct_o under_o it_o but_o upon_o those_o also_o that_o be_v lateral_o situate_v in_o respect_n of_o it_o provide_v they_o be_v inferior_a to_o it_o and_o according_a to_o this_o doctrine_n we_o may_v conceive_v that_o every_o assignable_a part_n of_o the_o side_n of_o the_o vessel_n do_v sustain_v a_o pressure_n increase_v by_o the_o increase_n of_o that_o part_n depth_n under_o water_n and_o according_a to_o the_o largeness_n of_o the_o say_a part_n and_o therefore_o if_o any_o part_n be_v so_o weak_a as_o that_o it_o will_v be_v easy_o beat_v out_o or_o break_v by_o a_o weight_n equal_a to_o the_o cylinder_n ay_o k_o make_v always_o a_o due_a abatement_n for_o the_o obliquity_n of_o the_o pressure_n it_o will_v not_o be_v fit_a to_o be_v a_o part_n of_o our_o vessel_n nay_o the_o cork_n itself_o though_o it_o be_v above_o the_o surface_n of_o the_o water_n in_o the_o vessel_n yet_o because_o the_o water_n in_o the_o pipe_n be_v high_a than_o it_o each_o of_o its_o part_n resist_v a_o considerable_a pressure_n proportionate_a to_o its_o particular_a bigness_n and_o to_o the_o height_n of_o the_o water_n in_o the_o pipe_n and_o therefore_o if_o the_o cork_n be_v not_o well_o stop_v in_o it_o may_v be_v lift_v up_o by_o the_o pressure_n of_o the_o water_n in_o the_o pipe_n if_o that_o be_v fill_v to_o a_o good_a height_n and_o if_o the_o cement_n be_v not_o good_a and_o close_a the_o water_n will_v not_o without_o noise_n make_v itself_o a_o passage_n through_o it_o and_o if_o the_o stopple_n g_o of_o the_o short_a pipe_n g_o h_n which_o be_v place_v there_o likewise_o to_o illustrate_v the_o present_a conjecture_n do_v not_o firm_o close_v the_o orifice_n of_o it_o it_o may_v be_v force_v out_o not_o without_o violence_n and_o noise_n and_o for_o further_a satisfaction_n if_o in_o stead_n of_o the_o stopple_n g_o you_o close_v the_o orifice_n with_o your_o finger_n you_o shall_v find_v it_o press_v upward_o as_o strong_o as_o it_o will_v be_v press_v downward_o by_o the_o weight_n of_o a_o cylinder_n of_o water_n of_o
as_o employ_v a_o round_a number_n as_o they_o call_v it_o when_o i_o say_v that_o no_o body_n yet_o know_v how_o ponderous_a soever_o will_v subside_o in_o water_n by_o its_o own_o weight_n alone_o if_o it_o be_v so_o place_v under_o water_n that_o the_o depth_n of_o the_o water_n do_v above_o twenty_o time_n exceed_v the_o height_n of_o the_o body_n not_o to_o mention_v here_o that_o though_o gold_n and_o water_n be_v weigh_v in_o the_o air_n their_o proportion_n be_v above_o 19_o to_o one_o yet_o in_o the_o water_n gold_n do_v as_o other_o sink_v body_n loose_a as_o much_o of_o its_o weight_n as_o that_o of_o a_o equal_a bulk_n of_o water_n amount_v too_o i_o be_v say_v just_o now_o that_o in_o case_n the_o brazen_a body_n be_v place_v low_o eenough_o beneath_o the_o surface_n of_o the_o water_n and_o keep_v from_o be_v depress_v by_o any_o incumbent_a water_n it_o will_v be_v support_v by_o the_o subjacent_a water_n and_o this_o be_v that_o very_a thing_n that_o i_o be_o now_o to_o show_v by_o a_o experiment_n let_v then_o the_o brass_n body_n e_o f_o be_v the_o cover_n of_o a_o brass_n valve_n 20._o as_o in_o the_o annex_v figure_n and_o let_v the_o valve_n be_v fasten_v with_o some_o strong_a and_o close_a cement_n to_o a_o glass_n pipe_n o_o p_o open_a at_o both_o end_n and_o of_o a_o competent_a length_n and_o wideness_n for_o then_o the_o body_n e_o f_o be_v the_o undermost_a part_n of_o the_o instrument_n and_o not_o stick_v to_o any_o other_o part_n of_o it_o will_v fall_v by_o its_o own_o weight_n if_o it_o be_v not_o support_v now_o then_o tie_v a_o thread_n to_o a_o button_n qui_fw-fr that_o be_v wont_a to_o be_v make_v in_o the_o middle_n of_o the_o door_n of_o brass_n valve_n you_o must_v by_o pull_v that_o string_n straight_o and_o upward_o make_v the_o body_n e_o f_o shut_v the_o orifice_n of_o the_o valve_n as_o close_o as_o you_o can_v which_o be_v easy_o and_o present_o do_v then_o thrust_v the_o valve_n under_o water_n to_o the_o depth_n of_o a_o foot_n or_o more_o the_o cement_n and_o the_o side_n of_o the_o glass_n o_o p_o which_o reach_v far_o above_o the_o top_n of_o the_o water_n x_o in_n will_v keep_v the_o water_n from_o come_v to_o bear_v upon_o the_o upper_a part_n of_o the_o body_n e_o f_o and_o consequent_o the_o imaginary_a surface_n five_o w_n that_o pass_v by_o the_o low_a part_n of_o the_o say_a body_n will_v where_o it_o be_v contiguous_a thereunto_o be_v press_v upon_o only_o by_o the_o proper_a weight_n of_o the_o body_n e_o f_o but_o in_o its_o other_o part_n by_o the_o much_o great_a weight_n of_o the_o incumbent_a water_n so_o that_o though_o you_o let_v go_v the_o string_n that_o hold_v the_o body_n e_o f_o close_o to_o the_o rest_n of_o the_o instrument_n the_o say_a body_n will_v not_o at_o all_o sink_n though_o there_o be_v nothing_o but_o water_n beneath_o it_o to_o support_v it_o and_o to_o manifest_v that_o it_o be_v only_o the_o pressure_n of_o the_o water_n of_o a_o competent_a depth_n that_o keep_v the_o solid_a suspend_v if_o you_o slow_o lift_v up_o the_o instrument_n towards_o x_o in_n the_o top_n of_o the_o water_n you_o shall_v find_v that_o though_o for_o a_o while_o the_o part_n of_o the_o valve_n will_v continue_v unite_v as_o they_o be_v before_o yet_o when_o once_o it_o be_v raise_v so_o near_o the_o surface_n as_o between_o the_o plain_a i_o k_o and_o x_o in_n that_o the_o single_a weight_n of_o e_o f_o upon_o the_o subjacent_a part_n of_o the_o imaginary_a plain_n that_o pass_v by_o it_o be_v great_a than_o the_o pressure_n of_o the_o incumbent_a water_n upon_o other_o part_n of_o the_o same_o plain_a that_o body_n be_v no_o more_o support_v as_o former_o will_v fall_v down_o and_o the_o water_n will_v get_v into_o the_o pipe_n and_o ascend_v therein_o to_o the_o level_n of_o the_o external_n water_n but_o if_o when_o the_o valve_n be_v first_o thrust_v under_o water_n and_o before_o you_o let_v go_v the_o thread_n that_o keep_v its_o part_n together_o you_o 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next_o proposition_n its_o endeavour_n downward_o be_v so_o surmount_v that_o it_o be_v forcible_o carry_v up_o thus_o when_o a_o piece_n of_o some_o light_a wood_n be_v hold_v under_o water_n be_v let_v go_v and_o suffer_v to_o emerge_n though_o it_o he_o buoy_v up_o by_o the_o water_n who_o specific_a gravity_n be_v great_a yet_o even_o whilst_o it_o alcend_v it_o remain_v a_o heavy_a body_n so_o that_o the_o aggregate_v of_o the_o water_n &_o the_o ascend_a wood_n weigh_v more_o than_o the_o water_n alone_o will_v do_v and_o when_o it_o float_v upon_o the_o upper_a part_n of_o the_o water_n as_o part_v of_o it_o be_v extant_a above_o the_o surface_n so_o part_n of_o it_o be_v immerse_v beneath_o it_o which_o confirm_v what_o we_o be_v say_v that_o a_o light_a body_n may_v gravitate_fw-la upon_o a_o heavy_a and_o thus_o there_o be_v little_a doubt_n to_o be_v make_v but_o that_o if_o a_o man_n stand_v in_o one_o of_o the_o scale_n of_o a_o balance_n with_o a_o heavy_a stone_n tie_v to_o his_o hand_n and_o hang_v free_o by_o his_o side_n if_o then_o he_o lift_v that_o weight_n as_o high_a above_o his_o head_n as_o he_o can_v notwithstanding_o that_o the_o stone_n motion_n upward_o make_v it_o seem_v a_o light_a body_n in_o respect_n of_o the_o man_n who_o body_n it_o leave_v beneath_o it_o yet_o it_o do_v not_o either_o during_o its_o ascent_n or_o after_o lose_v any_o thing_n of_o its_o connatural_a weight_n for_o the_o man_n that_o lift_v it_o up_o shall_v feel_v its_o tendency_n downward_o to_o continue_v though_o his_o force_n be_v great_a than_o that_o tendency_n be_v able_a notwithstanding_o that_o tendency_n to_o carry_v it_o up_o and_o when_o it_o be_v aloft_o it_o will_v so_o press_v against_o his_o hand_n as_o to_o offend_v if_o not_o also_o to_o bruise_v it_o and_o the_o stone_n and_o the_o man_n that_o support_v it_o will_v weigh_v no_o less_o in_o the_o scale_n he_o stand_v in_o then_o if_o he_o do_v not_o at_o all_o support_v it_o and_o they_o be_v both_o of_o they_o weigh_v apart_o likewise_o if_o you_o put_v into_o one_o scale_n a_o wide_a mouth_a glass_n full_a of_o water_n and_o a_o good_a quantity_n of_o powdered_a common_a salt_n and_o into_o the_o other_o scale_n a_o counterpoise_n to_o they_o both_o you_o may_v observe_v that_o though_o at_o the_o beginning_n the_o salt_n will_v manifest_o lie_v at_o the_o bottom_n and_o afterward_o by_o degree_n be_v so_o take_v up_o into_o the_o body_n of_o the_o liquor_n that_o not_o a_o grain_n will_v appear_v there_o yet_o nevertheless_o as_o far_o as_o i_o can_v judge_v by_o my_o experiment_n the_o weight_n in_o that_o scale_n will_v not_o be_v diminish_v by_o the_o weight_n of_o as_o much_o sale_n as_o be_v incessant_o either_o carry_v up_o or_o support_v by_o the_o restless_a motion_n of_o the_o dissolve_v corpuscle_n of_o the_o water_n but_o both_o the_o one_o and_o the_o other_o allow_v for_o what_o may_v evaporate_v will_v concurrent_o gravitate_fw-la upon_o the_o scale_n that_o the_o glass_n contain_v they_o lean_v on_o but_o of_o this_o more_o elsewhere_o now_o to_o prove_v the_o proposiion_n by_o the_o new_a method_n we_o have_v propose_v to_o ourselves_o in_o this_o discourse_n take_v a_o slender_a glass_n pipe_n and_o have_v suck_v up_o into_o it_o fair_a water_n to_o the_o height_n of_o 3_o or_o 4_o inch_n stop_v nimble_o the_o upper_a orifice_n with_o your_o finger_n and_o inmerse_v the_o low_a into_o a_o glass_n full_a of_o oil_n of_o turpenrine_n till_o the_o surface_n of_o the_o oil_n in_o the_o vessel_n be_v somewhat_o high_a than_o that_o of_o the_o water_n in_o the_o pipe_n then_o remove_v your_o finger_n though_o the_o pipe_n do_v thereby_o become_v open_a at_o both_o end_n the_o water_n will_v not_o fall_v down_o be_v hinder_v by_o the_o pressure_n of_o the_o oil_n of_o
fisth_n paradox_n for_o which_o purpose_n the_o leg_n must_v be_v at_o a_o pretty_a distance_n from_o each_o other_o though_o you_o fill_v that_o funnel_n with_o water_n the_o oil_n in_o the_o long_o and_o slender_a leg_n of_o the_o syphon_n will_v be_v able_a to_o resist_v the_o pressure_n of_o all_o the_o water_n notwithstanding_o the_o breadth_n of_o the_o upper_a part_n of_o the_o funnel_n so_o that_o even_o in_o this_o case_n also_o the_o surface_n of_o the_o oil_n in_o the_o long_a leg_n will_v be_v but_o a_o little_a high_o than_o that_o of_o the_o water_n in_o the_o funnel_n for_o further_a confirmation_n of_o this_o we_o cause_v to_o be_v make_v a_o syphon_n so_o shape_v that_o one_o of_o the_o leg_n which_o be_v parallel_n and_o of_o the_o same_o boar_n have_v in_o the_o midst_n of_o it_o a_o sphere_n of_o glass_n save_v that_o it_o communicate_v with_o the_o upper_a and_o low_a part_n of_o the_o same_o leg_n in_o the_o uniform_a leg_n of_o the_o syphon_n we_o put_v a_o convenient_a quantity_n of_o oil_n of_o turpentine_n and_o into_o the_o other_o as_o much_o water_n as_o fill_v not_o only_o the_o low_a part_n of_o it_o but_o the_o globular_a part_n too_o and_o yet_o we_o do_v not_o find_v that_o all_o this_o water_n be_v able_a to_o keep_v up_o the_o oil_n in_o the_o uniform_a leg_n at_o a_o great_a height_n then_o if_o the_o leg_n that_o contain_v the_o water_n have_v be_v uniform_a too_o as_o much_o of_o the_o water_n in_o the_o globe_n as_o be_v not_o direct_o over_o the_o low_a orifice_n of_o it_o be_v support_v by_o the_o lateral_a part_n if_o i_o may_v so_o call_v they_o of_o the_o same_o globe_n and_o if_o that_o leg_n be_v instead_o of_o water_n fill_v with_o oil_n and_o the_o uniform_a leg_n with_o water_n notwithstanding_o the_o far_o great_a quantity_n of_o oil_n that_o be_v necessary_a to_o fill_v that_o leg_n whereof_o the_o hollow_a sphere_n be_v but_o a_o part_n the_o water_n in_o the_o uniform_a leg_n will_v not_o be_v keep_v up_o so_o much_o as_o to_o the_o same_o height_n with_o the_o oil_n in_o the_o misshape_a leg_n but_o to_o make_v this_o matter_n yet_o the_o more_o clear_a we_o cause_v a_o syphon_n to_o be_v make_v of_o the_o figure_n express_v in_o the_o adjoin_a scheme_n 9_o into_o which_o have_v pour_v a_o convenient_a quantity_n of_o mercury_n till_o it_o reach_v in_o the_o short_a leg_n c_o d_o almost_o to_o the_o bottom_n of_o the_o clobulou_n part_n e_o and_o in_o the_o long_a leg_n a_o b_o to_o a_o equal_a height_n we_o afterward_o pour_v a_o sufficient_a quantity_n of_o water_n into_o the_o say_a long_a leg_n a_o b_o which_o drive_v away_o the_o quicksilver_n and_o impel_v it_o up_o in_o the_o short_a leg_n till_o it_o have_v half_a or_o more_o than_o half_a fill_v the_o cavity_n of_o the_o globular_a part_n e_o which_o yet_o we_o do_v not_o whole_o fill_v with_o quicksilver_n because_o the_o tube_n a_o b_o be_v not_o long_a enough_o for_o that_o purpose_n and_o then_o we_o observe_v that_o notwithstanding_o the_o great_a weight_n of_o that_o body_n which_o be_v of_o all_o body_n save_o one_o the_o most_o ponderous_n quicksilver_n which_o be_v contain_v in_o the_o low_a part_n of_o the_o same_o leg_n of_o the_o syphon_n the_o surface_n of_o the_o quicksilver_n h_o g_o be_v impel_v up_o as_o high_a by_o the_o water_n in_o the_o leg_n a_o b_o as_o the_o disparity_n of_o the_o specific_a weight_n of_o those_o two_o liquor_n whereof_o one_o be_v about_o 14_o time_n as_o heavy_a as_o the_o other_o do_v require_v so_o that_o it_o appear_v not_o that_o for_o all_o the_o great_a weight_n of_o quicksilver_n contain_v in_o the_o globulous_a cavity_n e_o there_o press_v any_o more_o upon_o the_o slender_a and_o subjacent_a part_n e_o c_o of_o that_o leg_n then_o as_o much_o as_o be_v place_v direct_o over_o the_o low_a orifice_n of_o the_o say_a cavity_n e_o so_o that_o the_o other_o and_o lateral_a part_n of_o that_o mercury_n be_v support_v by_o the_o concave_a side_n of_o the_o glass_n whereunto_o they_o be_v contiguous_a the_o water_n in_o the_o leg_n a_o b_o appear_v not_o any_o more_o press_v by_o the_o quicksilver_n then_o if_o the_o leg_n c_o d_o have_v be_v as_o well_o as_o the_o other_o of_o a_o uniform_a bigness_n and_o by_o this_o mean_n if_o we_o have_v make_v the_o hollow_a globe_n of_o a_o large_a diameter_n a_o small_a quantity_n of_o water_n pour_v into_o the_o leg_n a_o b_o might_n have_v be_v able_a to_o raise_v a_o quantity_n of_o quicksilver_n exceed_o much_o heavy_a than_o itself_o but_o then_o so_o little_a water_n can_v raise_v the_o quicksilver_n in_o so_o broad_a a_o pipe_n but_o to_o a_o inconsiderable_a height_n to_o make_v out_o the_o second_o part_n of_o our_o paradox_n by_o a_o experiment_n we_o take_v three_o glass-pipe_n the_o one_o make_v like_o a_o bolt-head_n 10._o with_o a_o round_a ball_n and_o two_o opposite_a stem_n the_o other_o be_v a_o irregular_a pipe_n blow_v with_o a_o elbow_n wherewith_o it_o make_v a_o angle_n and_o the_o three_o be_v as_o irregular_o shape_v as_o i_o can_v get_v it_o blow_v be_v in_o some_o place_n much_o broad_a and_o in_o some_o much_o narrow_a than_o the_o low_a orifice_n of_o it_o and_o these_o two_o last_o name_v pipe_n have_v their_o upper_a end_n so_o insert_v into_o hole_n make_v fit_a for_o they_o in_o a_o broad_a piece_n of_o cork_n that_o when_o they_o be_v immerse_v they_o make_v not_o right_a angle_n but_o very_o oblique_a one_o with_o the_o horizontal_a surface_n of_o the_o liquor_n the_o other_o glass_n likewise_o which_o consist_v of_o a_o great_a bubble_n and_o two_o opposite_a pipe_n be_v fasten_v to_o the_o same_o cork_n which_o have_v before_o hand_n be_v make_v fit_a for_o a_o wide_a mouth_a glass_n of_o a_o good_a depth_n and_o half_o fill_v with_o water_n be_v thrust_v as_o a_o stopple_n into_o the_o mouth_n of_o the_o say_a glass_n so_o that_o the_o water_n a_o scend_v a_o pretty_a way_n into_o each_o of_o the_o three_o pipe_n by_o their_o low_a orifice_n which_o as_o well_o as_o the_o upper_a we_o leave_v open_a then_o a_o good_a quantity_n of_o oil_n of_o turpentine_n be_v pour_v into_o the_o same_o vessel_n through_o a_o funnel_n the_o water_n be_v by_o the_o incumbent_a oil_n impel_v up_o to_o the_o height_n of_o 2_o or_o 3_o inch_n in_o each_o of_o the_o three_o pipe_n which_o argue_v that_o notwithstanding_o their_o be_v so_o unequal_a in_o bigness_n and_o so_o irregular_a in_o shape_n insomuch_o that_o we_o guess_v one_o of_o they_o be_v 10_o or_o 12_o time_n great_a in_o one_o part_n then_o in_o another_o or_o then_o it_o be_v even_o at_o the_o orifice_n the_o water_n contain_v in_o each_o of_o they_o press_v upon_o its_o low_a orifice_n no_o more_o i_o do_v not_o add_v nor_o no_o less_o than_o it_o will_v have_v do_v if_o it_o have_v be_v a_o cylinder_n have_v the_o orifice_n for_o its_o basis_n and_o the_o perpendicular_a depth_n of_o the_o water_n and_o oil_n above_o for_o its_o height_n for_o in_o case_n each_o of_o the_o pipe_n have_v contain_v but_o such_o a_o cylinder_n of_o water_n that_o water_n will_v nevertheless_o have_v have_v its_o uppermost_a superficies_n at_o the_o same_o height_n and_o on_o the_o other_o side_n it_o will_v have_v be_v impel_v up_o beyond_o it_o if_o its_o weight_n do_v not_o as_o strong_o endeavour_v to_o depress_v the_o immediate_o subjacent_a water_n as_o the_o pressure_n of_o the_o external_n fluid_v endeavour_v to_o impel_v it_o up_o and_o since_o the_o height_n of_o the_o water_n be_v about_o the_o same_o in_o the_o several_a pipe_n though_o two_o of_o they_o be_v very_o much_o incline_v contain_v much_o more_o water_n than_o if_o they_o be_v erect_v yet_o by_o the_o same_o way_n of_o reason_v we_o may_v gather_v that_o the_o imaginary_a plain_n pass_v by_o the_o immersed_a orifice_n of_o either_o of_o these_o incline_a pipe_n sustain_v no_o more_o of_o pressure_n than_o it_o will_v have_v do_v from_o a_o short_a cylinder_n of_o water_n if_o erect_v and_o indeed_o in_o all_o these_o case_n where_o a_o pipe_n either_o be_v broad_a in_o other_o place_n then_o at_o its_o low_a orifice_n or_o incline_v any_o way_n towards_o the_o horizon_n the_o weight_n of_o the_o contain_v liquor_n be_v not_o all_o support_v by_o the_o liquor_n or_o the_o body_n contiguous_a to_o the_o low_a orifice_n but_o partly_o by_o the_o side_n of_o the_o pipe_n itself_o and_o therefore_o if_o when_o in_o a_o slender_a pipe_n you_o have_v bring_v a_o parcel_n of_o oil_n of_o turpentine_n to_o be_v in_o a_o equilibrium_n with_o the_o external_n water_n as_o in_o the_o experiment_n belong_v to_o the_o first_o paradox_n if_o i_o