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d_o some_o inch_n of_o water_n fall_v out_o as_o will_v be_v find_v by_o experience_n suppose_v then_o that_o of_o four_o foot_n six_o inch_n fall_v out_o if_o this_o be_v than_o the_o enclose_a air_n between_o p_o and_o t_o must_v be_v 〈◊〉_d inch_n long_o if_o this_o be_v then_o of_o necessity_n the_o bensil_n of_o it_o must_v be_v proportionable_o remit_v and_o slacken_v whence_o follow_v by_o metaphysical_a necessity_n that_o it_o can_v burden_v the_o water_n p_o m_o with_o as_o much_o weight_n as_o it_o have_v and_o consequent_o the_o surface_n of_o air_n can_v be_v so_o much_o burden_v it_o must_v then_o be_v no_o more_o burden_v with_o they_o both_o together_o than_o it_o be_v with_o the_o single_a pillar_n of_o air_n y_o n._n if_o then_o the_o water_n p_o m_o be_v three_o foot_n and_o a_o half_a the_o weight_n of_o the_o enclose_a air_n t_o p_o must_v be_v exact_o the_o weight_n of_o thirty_o foot_n of_o water_n and_o a_o half_a from_o this_o experiment_n we_o see_v first_o the_o pressure_n of_o the_o air_n for_o by_o it_o the_o water_n o_o i_o be_v suspend_v and_o by_o the_o same_o pressure_n be_v the_o water_n p_o m_o suspend_v we_o see_v second_o that_o in_o air_n there_o be_v a_o power_n of_o dilate_v itself_o and_o that_o this_o dilatation_n never_o happen_v without_o a_o relaxation_n of_o the_o bensil_n we_o see_v three_o that_o one_o fluid_a can_v sustain_v another_o unless_o the_o potentia_fw-la of_o the_o one_o be_v equal_a to_o the_o pondus_fw-la of_o the_o other_o as_o be_v clear_a from_o the_o aërial_a surface_n that_o can_v sustain_v the_o whole_a four_o foot_n of_o water_n but_o suffer_v six_o inch_n of_o it_o to_o fall_v out_o that_o the_o pondus_fw-la of_o the_o rest_n and_o the_o air_n above_o it_o may_v become_v equal_a to_o its_o own_o potentia_fw-la we_o see_v four_a that_o fluid_a body_n have_v not_o only_o a_o power_n of_o press_v downward_o but_o of_o press_v upward_o likewise_o as_o be_v clear_a from_o the_o water_n o_o i_o that_o be_v suspend_v by_o the_o air_n press_v down_o the_o surface_n of_o water_n h_n i_o k._n it_o press_v upward_o also_o while_o it_o support_v the_o water_n p_o m._n this_o experiment_n also_o answer_v a_o case_n namely_o whether_o or_o not_o it_o be_v always_o needful_a to_o guard_v the_o orifice_n of_o the_o tub_n of_o the_o baroscope_n with_o stagnant_a quicksilver_n i_o say_v then_o it_o be_v not_o always_o needful_a provide_v the_o orifice_n be_v of_o a_o narrow_a diameter_n for_o experience_n tell_v that_o while_o it_o be_v such_o the_o mercury_n will_v subside_o and_o halt_v at_o 29_o inch_n above_o the_o orifice_n though_o no_o stagnant_a mercury_n be_v to_o guard_v in_o make_v this_o trial_n the_o orifice_n must_v be_v no_o wide_o than_o may_v admit_v the_o point_n of_o a_o needle_n or_o suppose_v it_o to_o have_v the_o wideness_n of_o a_o tobacco-pipe_n yet_o will_v the_o mercury_n be_v suspend_v though_o the_o end_n be_v not_o drown_v among_o stagnant_a quicksilver_n even_o as_o the_o water_n p_o m_o be_v keep_v up_o without_o stagnant_a water_n about_o it_o for_o trial_n of_o this_o you_o must_v first_o let_v the_o end_n of_o the_o pipe_n be_v put_v down_o among_o stagnant_a mercury_n and_o after_o the_o cylinder_n be_v fall_v down_o to_o its_o own_o proper_a altitude_n lift_v up_o the_o pipe_n slow_o till_o the_o orifice_n come_v above_o the_o surface_n and_o you_o will_v find_v provide_v you_o do_v not_o shake_v the_o pipe_n the_o cylinder_n to_o be_v suspend_v after_o the_o same_o manner_n immediate_o by_o the_o air_n as_o the_o water_n p_o m_o be_v experiment_n vii_o figure_n 10_o 11._o take_v a_o vessel_n of_o any_o quantity_n such_o as_o a_o b_o c_o d_o e_o and_o fill_v it_o with_o water_n and_o a_o glass-pipe_n such_o as_o g_o f_o d_o of_o 15_o or_o 20_o inch_n long_o of_o any_o wideness_n close_o above_o and_o open_v below_o before_o you_o drown_v the_o open_a end_n among_o the_o water_n hold_v the_o glass_n before_o the_o fire_n till_o it_o be_v pretty_a hot_a and_o have_v put_v it_o down_o you_o will_v see_v the_o water_n begin_v to_o creep_v up_o till_o it_o come_v to_o f_o where_o it_o halt_v the_o question_n now_o be_v what_o be_v the_o reason_n why_o the_o water_n creep_v up_o after_o this_o manner_n 10_o or_o 12_o inch_n above_o the_o surface_n a_o b_o i_o answer_v the_o heat_n have_v rarify_v the_o air_n within_o and_o by_o this_o mean_n have_v expel_v much_o of_o it_o and_o the_o air_n now_o contract_v itself_o again_o with_o cold_a the_o water_n ascend_v be_v press_v up_o with_o the_o weight_n of_o the_o incumb_a air_n rest_v upon_o the_o surface_n of_o water_n a_o b._n there_o be_v here_o sure_o a_o inequality_n between_o a_o pondus_fw-la and_o a_o potentia_n that_o must_v be_v the_o cause_n of_o this_o motion_n i_o judge_v then_o the_o inequality_n to_o consist_v between_o the_o weight_n of_o the_o air_n within_o the_o pipe_n and_o the_o surface_n of_o water_n c_o d_o e._n to_o explicate_v this_o i_o must_v suppose_v the_o pipe_n to_o be_v thrust_v down_o cold_a in_o this_o case_n little_a or_o no_o water_n can_v enter_v the_o orifice_n d._n and_o the_o reason_n be_v because_o the_o pondus_fw-la of_o the_o air_n within_o the_o glass_n be_v equal_a to_o the_o potentia_fw-la of_o the_o surface_n c_o d_o e._n but_o when_o the_o pipe_n be_v thrust_v down_o hot_a much_o of_o the_o air_n have_v be_v expel_v by_o the_o heat_n and_o now_o begin_v to_o be_v contract_v by_o cold_a the_o pondus_fw-la of_o the_o air_n become_v unequal_a to_o the_o potentia_fw-la of_o the_o surface_n and_o therefore_o this_o be_v the_o strong_a party_n drive_v up_o the_o air_n within_o the_o glass_n till_o by_o this_o ascent_n the_o pondus_fw-la of_o the_o air_n g_o f_o and_o the_o pondus_fw-la of_o the_o water_n f_o d_o together_z become_v equal_a to_o the_o potentia_fw-la of_o the_o surface_n c_o d_o e_o that_o sustain_v they_o for_o a_o second_o trial_n bring_v a_o hot_a coal_n near_o to_o the_o side_n of_o the_o glass_n between_o g_z and_o f_o and_o you_o will_v find_v the_o water_n to_o creep_v down_o from_o f_o towards_o the_o surface_n a_o b_o and_o if_o it_o continue_v any_o space_n it_o will_v drive_v down_o the_o whole_a water_n and_o thrust_v it_o out_o at_o d._n to_o explicate_v this_o i_o must_v suppose_v that_o heat_n by_o rarify_n the_o air_n within_o the_o glass_n intend_v and_o increase_v the_o bensil_n of_o it_o and_o the_o bensil_n be_v now_o make_v strong_a there_o must_v arise_v a_o inequality_n between_o the_o pondus_fw-la of_o the_o say_a air_n and_o the_o potentia_fw-la of_o the_o surface_n c_o d_o e_o the_o air_n then_o be_v the_o strong_a party_n cause_v the_o surface_n to_o yield_v by_o compare_v this_o experiment_n with_o the_o former_a we_o see_v a_o great_a difference_n between_o the_o dilatation_n of_o air_n of_o its_o own_o accord_n and_o by_o constraint_n for_o while_o it_o be_v willing_o expanded_a the_o bensil_n begin_v to_o grow_v slack_a and_o remiss_a and_o lose_v by_o degree_n of_o its_o strength_n even_o as_o the_o spring_n of_o a_o watch_n by_o the_o motion_n of_o the_o wheel_n become_v remiss_a but_o when_o the_o dilatation_n be_v make_v by_o heat_n and_o the_o air_n compel_v to_o expand_v and_o open_v itself_o the_o bensil_n become_v the_o strong_a and_o the_o pressure_n the_o great_a notwithstanding_o though_o the_o bensil_n of_o this_o enclose_a air_n g_o f_o may_v be_v make_v strong_a by_o heat_n to_o the_o expulsion_n of_o the_o water_n f_o d_o yet_o if_o this_o rarefact_n on_o continue_v any_o time_n the_o bensil_n become_v dull_a and_o slack_a and_o the_o reason_n be_v because_o air_n can_v be_v expanded_a and_o open_v to_o any_o quantity_n a_o inch_n can_v be_v dilate_v and_o open_v to_o a_o hundred_o or_o to_o a_o thousand_o neither_o can_v the_o bensil_n of_o it_o be_v intend_v and_o increase_v to_o any_o degree_n v_o g._n from_o one_o to_o 20_o 30_o or_o 100_o and_o therefore_o as_o the_o expansion_n grow_v the_o bensil_n must_v at_o length_n slacken_v but_o if_o so_o be_v the_o air_n be_v enclose_v as_o in_o a_o bladder_n knit_v about_o the_o neck_n with_o a_o string_n than_o the_o more_o heat_n the_o more_o bensil_n for_o in_o this_o case_n there_o be_v a_o growth_n of_o pressure_n without_o dilatation_n and_o sometime_o the_o bensil_n may_v be_v so_o intend_v with_o the_o heat_n that_o the_o side_n of_o the_o bladder_n will_v burst_v asunder_o from_o this_o experiment_n we_o see_v first_o a_o confirmation_n of_o the_o 21_o theorem_fw-la namely_o that_o there_o may_v be_v as_o much_o bensil_n and_o pressure_n in_o the_o small_a quantity_n of_o a_o fluid_a as_o in_o the_o great_a as_o be_v
place_n this_o be_v evident_a because_o the_o stone_n be_v 10_o pound_n light_a in_o water_n than_o in_o the_o air_n because_o the_o water_n that_o will_v fill_v the_o room_n of_o the_o stone_n be_v just_a of_o that_o weight_n we_o see_v three_o that_o the_o pressure_n of_o water_n and_o the_o natural_a weight_n of_o it_o be_v two_o thing_n real_o distinct_a because_o the_o pressure_n may_v be_v augment_v without_o any_o increment_n of_o the_o natural_a weight_n we_o see_v four_a that_o the_o pressure_n or_o bensil_n of_o a_o fluid_a can_v affect_v the_o scale_n of_o a_o balance_n but_o only_o the_o natural_a weight_n we_o see_v five_o that_o a_o body_n natural_o heavy_a than_o water_n weigh_v in_o water_n because_o the_o stone_n f_o g_o make_v the_o water_n about_o it_o 10_o pound_n heavy_a if_o it_o be_v inquire_v whether_o body_n that_o be_v natural_o light_a will_v weigh_v in_o water_n i_o answer_v if_o they_o be_v of_o any_o sensible_a weight_n they_o weigh_v as_o well_o as_o the_o other_o for_o this_o cause_n i_o except_v air._n for_o though_o they_o be_v never_o so_o light_a in_o respect_n of_o water_n yet_o if_o they_o have_v any_o considerable_a gravity_n with_o they_o they_o will_v make_v the_o water_n heavy_a they_o be_v among_o put_v the_o case_n the_o body_n be_v a_o cube_n of_o timber_n of_o six_o inch_n weigh_v sixteen_o ounce_n and_o that_o a_o cube_n of_o water_n of_o that_o quantity_n weigh_v 112_o ounce_n here_o be_v a_o great_a inequality_n between_o their_o natural_a weight_n yet_o if_o that_o piece_n of_o timber_n be_v make_v to_o exist_v in_o the_o middle_n of_o water_n as_o the_o bladder_n do_v it_o will_v make_v it_o 16_o ounce_n heavy_a the_o reason_n be_v this_o these_o 16_o ounce_n be_v either_o support_v by_o a_o surface_n of_o water_n or_o they_o support_v themselves_o this_o last_o be_v impossible_a if_o the_o water_n support_v they_o then_o must_v they_o make_v the_o say_a water_n 16_o ounce_n heavy_a note_v that_o though_o a_o body_n natural_o light_a than_o water_n as_o cork_n may_v be_v say_v to_o weigh_v in_o water_n that_o be_v to_o say_v to_o make_v it_o heavy_a in_o which_o sense_n water_n weigh_v in_o water_n because_o if_o you_o add_v a_o pint_n to_o a_o gallon_n it_o make_v it_o heavy_a yet_o if_o you_o take_v a_o piece_n of_o cork_n and_o knit_v it_o to_o the_o scale_n of_o a_o balance_n by_o a_o thread_n the_o cork_n hang_v among_o the_o water_n the_o scale_n hang_v above_o in_o the_o air_n it_o will_v not_o weigh_v in_o water_n because_o in_o this_o sense_n no_o body_n weigh_v in_o water_n but_o that_o which_o be_v natural_o heavy_a than_o water_n as_o lead_v or_o stone_n in_o this_o sense_n water_n do_v not_o weigh_v in_o water_n as_o will_v be_v see_v in_o the_o 17_o experiment_n experiment_n ix_o figure_n 13._o take_v a_o glass-pipe_n 70_o inch_n long_o or_o thereabout_a and_o of_o any_o wideness_n have_v the_o upper_a end_n h_n hermetical_o seal_v the_o low_a end_n c_o complete_o open_v and_o fill_v it_o with_o mercury_n and_o cause_v a_o diver_n carry_v it_o down_o to_o the_o ground_n of_o the_o sea_n m_o n_o where_o i_o suppose_v be_v stand_v the_o vessel_n a_o b_o d_o e_o with_o stagnant_a mercury_n and_o drown_v the_o end_n below_o the_o surface_n a_o b._n this_o be_v do_v the_o mercury_n fall_v from_o the_o upper_a end_n h_n to_o the_o point_n g_o and_o there_o halt_v the_o space_n h_o g_o being_n empty_a for_o understand_v this_o experiment_n i_o shall_v propose_v several_a question_n and_o answer_v they_o first_o what_o be_v the_o reason_n why_o the_o mercury_n subside_v and_o sink_v down_o from_o h_n to_o g_z i_o answer_v as_o former_o in_o the_o like_a case_n inequality_n of_o weight_n between_o the_o pondus_fw-la of_o the_o impend_a quicksilver_n and_o the_o potentia_fw-la of_o the_o surface_n of_o the_o stagnant_a quicksilver_n d_o c_o e._n for_o while_o the_o tub_n be_v complete_o full_a the_o weight_n be_v so_o great_a that_o the_o surface_n d_o c_o e_o be_v not_o able_a to_o sustain_v it_o therefore_o it_o must_v fall_v down_o see_v motion_n necessary_o follow_v in_o fluids_n upon_o inequality_n of_o weight_n it_o may_v be_v inquire_v second_o why_o it_o halt_v at_o g_o 58_o inch_n from_o a_o b_o and_o come_v no_o further_o down_o i_o answer_v it_o halt_v at_o g_o because_o when_o it_o have_v fall_v down_o to_o that_o point_n there_o happen_v equality_n of_o weight_n between_o the_o suspend_v pillar_n and_o the_o foresay_a surface_n for_o whatever_o weight_n the_o say_a pillar_n be_v of_o the_o surface_n on_o which_o it_o rest_v be_v of_o the_o same_o in_o a_o word_n the_o pondus_fw-la of_o the_o one_o and_o the_o potentia_fw-la of_o the_o other_o be_v now_o equal_a for_o understand_v this_o consider_v according_a to_o the_o 25_o theorem_fw-la that_o the_o weight_n of_o the_o element_n of_o air_n upon_o the_o surface_v of_o water_n be_v equivalent_a to_o the_o burden_n of_o 34_o foot_n of_o water_n therefore_o the_o first_o and_o visible_a surface_n of_o this_o water_n l_o i_o k_o be_v real_o as_o much_o press_v with_o the_o burden_n of_o the_o atmosphere_n as_o if_o it_o have_v 34_o foot_n of_o water_n upon_o it_o consider_v next_o that_o between_o the_o say_a surface_n and_o the_o ground_n m_o n_o be_v 34_o foot_n of_o water_n indeed_o consider_v three_o that_o a_o pillar_n of_o water_n 34_o foot_n high_a be_v exact_o of_o the_o same_o weight_n with_o a_o pillar_n of_o mercury_n 29_o inch_n high_a for_o if_o water_n be_v 14_o time_n light_a than_o mercury_n than_o they_o can_v be_v of_o equal_a weight_n unless_o the_o one_o be_v 14_o time_n high_o than_o the_o other_o now_o suppose_v the_o weight_n of_o the_o air_n upon_o the_o surface_n l_o i_o k_o to_o be_v equivalent_a to_o 34_o foot_n of_o water_n or_o which_o be_v the_o same_o thing_n to_o 29_o inch_n of_o mercury_n the_o surface_n of_o the_o stagnant_a mercury_n a_o b_o must_v be_v as_o much_o burden_v with_o the_o incumb_a water_n and_o the_o air_n 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strength_n with_o the_o weight_n of_o the_o pillar_n g_o f_o b._n and_o this_o let_v we_o see_v the_o reason_n why_o the_o whole_a 70_o inch_n can_v be_v suspend_v for_o if_o the_o outward_a pressure_n that_o be_v upon_o a_o b_o be_v but_o equivalent_a to_o the_o pressure_n of_o 58_o it_o can_v never_o make_v the_o surface_n d_o c_o e_o able_a to_o support_v 70._o to_o make_v it_o evident_a if_o any_o doubt_n that_o the_o mercury_n be_v suspend_v by_o the_o weight_n of_o the_o water_n and_o the_o weight_n of_o the_o air_n superad_v let_v a_o diver_n bring_v up_o this_o engine_n to_o the_o top_n of_o the_o water_n and_o he_o will_v find_v the_o one_o half_a to_o have_v fall_v down_o namely_o from_o g_z to_o f_o the_o other_o half_a f_o b_o remain_a and_o if_o it_o be_v possible_a to_o convey_v this_o experiment_n to_o the_o top_n of_o the_o air_n the_o bearer_n will_v see_v the_o remain_v half_a to_o fall_v down_o likewise_o and_o become_v level_a with_o a_o b_o for_o where_o no_o pressure_n of_o air_n be_v there_o can_v be_v no_o mercury_n suspend_v this_o fall_v down_o be_v not_o all_o at_o once_o but_o by_o degree_n and_o keep_v a_o proportion_n with_o the_o pressure_n of_o the_o air_n that_o grow_v less_o and_o less_o from_o the_o ground_n to_o the_o top_n from_o this_o experiment_n we_o see_v first_o the_o great_a pressure_n and_o weight_n the_o element_n of_o air_n and_o water_n be_v under_o see_v this_o water_n that_o be_v but_o 34_o foot_n deep_a sustain_v the_o mercury_n between_o g_z and_o f_o 29_o inch_n as_o much_o between_o f_o and_o e_o be_v keep_v up_o by_o the_o pressure_n of_o the_o air._n
mercury_n and_o with_o the_o weight_n of_o 41_o ounce_n of_o water_n so_o much_o the_o water_n b_o c_o weigh_v which_o be_v 55_o ounce_n but_o a_o surface_n that_o have_v only_o the_o potentia_n of_o 42_o can_v never_o support_v a_o pondus_fw-la of_o 55_o no_o not_o of_o 43._o it_o may_v be_v object_v thus_o put_v the_o case_n a_o cylinder_n of_o gold_n or_o brass_n be_v suspend_v in_o this_o water_n as_o the_o pipe_n and_o mercury_n g_o h_n be_v suspend_v by_o the_o balance_n will_v not_o the_o balance_n support_v the_o whole_a weight_n of_o it_o without_o support_v any_o part_n of_o the_o weight_n of_o the_o water_n i_o h_n that_o rest_v upon_o the_o top_n of_o it_o i_o answer_v there_o be_v a_o great_a difference_n between_o the_o two_o because_o a_o cylinder_n of_o gold_n or_o brass_n suffer_v both_o the_o upward_a and_o downward_o pressure_n of_o the_o water_n but_o the_o mercury_n g_o h_n suffer_v only_o the_o upward_a pressure_n be_v free_v of_o the_o downward_o by_o the_o top_n of_o the_o tub._n from_o this_o experiment_n of_o let_v in_o the_o water_n upon_o the_o top_n of_o the_o mercury_n we_o see_v first_o that_o when_o two_o fluid_n be_v in_o equilibrio_n one_o with_o another_o a_o very_a small_a weight_n will_v cast_v and_o turn_v the_o scale_n because_o if_o the_o six_o part_n of_o a_o inch_n of_o water_n come_v in_o at_o q_o it_o present_o alter_v the_o height_n of_o the_o mercury_n from_o 42_o inch_n to_o less_o second_o it_o be_v impossible_a for_o a_o surface_n of_o water_n to_o support_v more_o weight_n than_o its_o own_o proper_a burden_n because_o the_o part_n s_o can_v support_v more_o no_o not_o a_o grain_n than_o 42_o ounce_n we_o see_v three_o that_o it_o be_v as_o impossible_a for_o a_o surface_n of_o water_n to_o support_v less_o than_o its_o own_o burden_n because_o whatever_o loss_n of_o weight_n the_o pillar_n of_o mercury_n s_o qui_fw-fr suffer_v by_o the_o ingress_n of_o the_o water_n q_o o_fw-fr it_o be_v make_v up_o again_o by_o the_o same_o water_n if_o it_o be_v object_v that_o the_o 14_o inch_n of_o water_n q_n o_o be_v not_o so_o heavy_a by_o far_o as_o the_o 14_o inch_n of_o mercury_n that_o fall_v down_o i_o answer_v its_o true_a yet_o the_o part_n s_o be_v as_o much_o burden_v as_o before_o because_o what_o be_v want_v in_o weight_n it_o be_v make_v up_o and_o compense_v by_o pressure_n we_o see_v four_a that_o the_o pressure_n of_o a_o fluid_a be_v a_o thing_n real_o distinct_a from_o the_o natural_a weight_n according_a to_o the_o 22_o theorem_fw-la because_o though_o the_o 14_o inch_n of_o water_n q_n o_o be_v not_o so_o heavy_a natural_o as_o the_o 14_o inch_n of_o mercury_n that_o fall_v down_o yet_o the_o pressure_n of_o they_o upon_o the_o surface_n s_o be_v as_o much_o we_o see_v five_o that_o 14_o inch_n of_o water_n that_o be_v â—_o body_n fourteen_o time_n light_a than_o mercury_n may_v have_v as_o much_o weight_n with_o they_o as_o 14_o ounce_n of_o mercury_n we_o see_v sixthly_a that_o a_o cylinder_n of_o mercury_n can_v be_v suspend_v in_o air_n or_o in_o water_n unless_o it_o be_v guard_v with_o a_o tub_n to_o preserve_v it_o from_o the_o downward_o pressure_n of_o that_o air_n or_o water_n for_o by_o open_v a_o hole_n in_o q_o the_o meâ—cury_n subside_v we_o see_v seventhly_a that_o it_o be_v impossible_a 〈…〉_z fluids_n to_o suspend_v one_o another_o mutual_o unless_o there_o be_v a_o sort_n of_o equipondium_fw-la between_o they_o because_o no_o soon_o you_o destroy_v the_o equipondium_fw-la between_o the_o 42_o inch_n of_o mercury_n q_o s_o and_o the_o part_n of_o the_o surface_n s_o by_o the_o ingress_n of_o the_o water_n q_o o_fw-fr but_o assoon_o there_o arise_v a_o new_a one_o we_o see_v eighthly_a as_o we_o note_v before_o the_o near_a a_o body_n come_v to_o be_v equal_o press_v with_o a_o fluid_a the_o less_o be_v the_o pressure_n of_o that_o fluid_a sensible_a because_o less_o weight_n be_v require_v in_o the_o balance_n to_o counterpoise_v the_o pressure_n and_o weight_n of_o the_o water_n r_o q_n after_o the_o ingress_n of_o the_o water_n q_o o_fw-fr p_o than_o after_o the_o ingress_n of_o the_o water_n q_o o._n we_o see_v ninthly_a that_o when_o a_o body_n be_v equal_o and_o uniform_o preâ—â—ed_v with_o a_o fluid_a the_o pressure_n be_v insensible_a because_o after_o the_o water_n have_v thrust_v down_o all_o the_o mercury_n from_o q_o to_o saint_n there_o be_v no_o more_o weight_n at_o all_o of_o the_o water_n r_o q_o find_v in_o the_o balance_n we_o see_v tenthly_a that_o not_o only_o in_o water_n the_o pressure_n of_o water_n may_v be_v find_v but_o out_o of_o it_o namely_o in_o the_o air_n as_o be_v clear_a from_o the_o balance_n that_o support_v the_o pressure_n of_o the_o water_n r_o q._n we_o see_v eleventhly_o a_o ground_n to_o distinguish_v between_o the_o natural_a balance_n and_o the_o artificial_a balance_n the_o artificial_a balance_n be_v the_o balance_n k_o l_o the_o natural_a be_v the_o pipe_n q_o s._n we_o see_v twelfthly_a that_o they_o keep_v a_o correspondence_n between_o themselves_o or_o some_o analogy_n for_o by_o what_o proportion_n the_o water_n thrust_v down_o the_o mercury_n by_o that_o same_o proportion_n the_o pondus_fw-la l_o of_o the_o balance_n be_v lessen_v and_o by_o what_o proportion_n the_o mercury_n rise_v in_o the_o pipe_n by_o that_o same_o be_v the_o weight_n l_o augment_v in_o the_o scale_n we_o may_v subjoin_v last_o that_o the_o easy_a way_n of_o explicate_v the_o phenomena_n of_o nature_n be_v not_o always_o the_o best_a and_o true_a for_o some_o may_v think_v it_o be_v far_o easy_a to_o say_v that_o the_o balance_n support_v the_o mercury_n a_o b_o or_o d_o e_o and_o not_o any_o part_n of_o the_o water_n b_o c_o or_o e_z f._n but_o such_o a_o way_n will_v be_v false_a and_o absurd_a and_o contrary_a to_o all_o the_o former_a doctrine_n experiment_n xii_o figure_n 16._o this_o schematism_n represent_v a_o water_n 100_o foot_n deep_a who_o first_o and_o visible_a surface_n be_v i_o h_o k._n and_o l_o m_o be_v the_o ground_n of_o it_o c_o d_o be_v a_o piece_n of_o brass_n 30_o inch_n high_a and_o 12_o inch_n in_o diameter_n suspend_v upon_o the_o imaginary_a surface_n of_o water_n a_o n_o b_o which_o be_v distant_a from_o the_o top_n i_o h_n k_n 25_o foot_n this_o brass_n can_v go_v far_o down_o when_o demit_v from_o h_n because_o it_o be_v keep_v up_o by_o the_o force_n and_o pressure_n of_o the_o surface_n of_o water_n a_o n_o b_o which_o i_o prove_v thus_o the_o part_n b_o sustain_v the_o facto_fw-la a_o pillar_n of_o water_n k_o b_o 1400_o pound_n weight_n therefore_o the_o part_n n_o be_v able_a to_o sustain_v as_o much_o i_o suppose_v here_o the_o say_a piece_n of_o brass_n to_o weigh_v 1400_o pound_n the_o water_n k_o b_o be_v 1400_o pound_n because_o its_o a_o pillar_n 25_o foot_n high_a and_o 12_o inch_n thick_a for_o one_o cubical_a foot_n weigh_v 56_o pound_n trois_fw-fr the_o connexion_n of_o the_o argument_n be_v evident_a because_o it_o be_v as_o easy_a for_o a_o surface_n of_o water_n to_o sustain_v a_o solid_a body_n as_o to_o sustain_v a_o fluid_a body_n therefore_o if_o the_o part_n b_o support_v the_o fluid_a pillar_n k_o b_o the_o part_n n_o must_v be_v able_a to_o support_v likewise_o the_o solid_a pillar_n c_o d_o which_o be_v of_o the_o same_o weight_n iâ—_n it_o be_v object_v that_o the_o part_n n_o sustain_v beside_o the_o brass_n c_o d_o a_o pillar_n of_o water_n e_o f_o 22_o foot_n high_a and_o a_o half_a which_o two_o will_v weigh_v 2260_o pound_n i_o answer_v upon_o supposition_n that_o neither_o water_n nor_o air_n succeed_v the_o space_n e_o f_o be_v void_a of_o both_o the_o brass_n will_v be_v suspend_v with_o the_o force_n and_o power_n of_o the_o water_n n._n and_o though_o this_o can_v be_v make_v practicable_a yet_o the_o theory_n of_o it_o may_v conduce_v much_o for_o explicate_v the_o secret_n and_o mystery_n of_o the_o hydrostaticks_n but_o why_o ought_v the_o brass_n to_o be_v suspend_v at_o 25_o foot_n from_o the_o top_n i_o answer_v because_o the_o potentia_fw-la of_o the_o surface_n a_o n_o b_o be_v equal_a to_o the_o pondus_fw-la of_o the_o brass_n to_o evidence_n this_o consider_v that_o brass_n be_v a_o body_n natural_o heavy_a than_o water_n i_o shall_v suppose_v ten_o time_n that_o be_v to_o say_v one_o inch_n of_o brass_n will_v counterpoise_v ten_o inch_n of_o water_n if_o this_o inequality_n be_v then_o must_v this_o pillar_n of_o brass_n go_v so_o much_o far_o down_o than_o the_o first_o surface_n i_o h_n k_o as_o the_o one_o be_v heavy_a in_o specie_fw-la or_o natural_o than_o the_o other_o therefore_o it_o
must_v sink_v 25_o foot_n exact_o see_v a_o piece_n of_o brass_n 30_o inch_n high_a require_v 400_o inch_n of_o water_n or_o 25_o foot_n to_o counterpoise_v it_o for_o if_o one_o inch_n of_o brass_n require_v ten_o inch_n of_o water_n then_o sure_o 30_o inch_n must_v require_v 300._o yet_o it_o be_v no_o matter_n what_o the_o thickness_n be_v provide_v it_o be_v no_o high_o than_o 30_o inch_n to_o advance_v some_o far_a let_v we_o make_v a_o second_o supposition_n namely_o while_o the_o brass_n be_v thus_o suspend_v upon_o the_o surface_n a_o n_o b_o suppose_v the_o air_n to_o come_v down_o and_o fill_v up_o the_o imaginary_a space_n e_o f_o then_o must_v the_o brass_n be_v thrust_v down_o as_o far_o as_o the_o surface_n o_o p_o that_o be_v 34_o foot_n below_o the_o surface_n a_o n_o d_o and_o 59_o from_o the_o top_n the_o reason_n of_o it_o be_v this_o because_o the_o weight_n of_o the_o air_n superad_v be_v equivalent_a to_o the_o pressure_n of_o a_o pillar_n of_o mercury_n 29_o inch_n high_a and_o 12_o inch_n thick_a therefore_o the_o brass_n be_v burden_v with_o this_o it_o must_v go_v so_o far_o down_o till_o it_o meet_v with_o a_o surface_n who_o potentia_fw-la be_v equal_a in_o weight_n to_o the_o pondus_fw-la of_o both_o which_o be_v precise_o 59_o foot_n from_o the_o top_n for_o if_o one_o inch_n of_o mercury_n require_v 14_o of_o water_n than_o 29_o inch_n must_v require_v 405_o inch_n or_o 34_o foot_n in_o a_o word_n it_o must_v go_v as_o far_o down_o as_o that_o surface_n that_o sustain_v a_o pillar_n of_o water_n that_o will_v counterpoise_v in_o a_o balance_n the_o brass_n c_o d_o and_o a_o pillar_n of_o mercury_n 29_o inch_n high_a and_o 12_o inch_n thick_a both_o which_o weigh_v 3290_o pound_n from_o what_o be_v say_v we_o see_v first_o that_o of_o two_o heavy_a body_n differ_v in_o weight_n the_o light_a may_v go_v further_o down_o than_o the_o heavy_a this_o be_v clear_a because_o a_o slender_a cylinder_n of_o gold_n in_o form_n of_o a_o arrow_n half_o a_o inch_n thick_a and_o 28_o inch_n long_o weigh_v 28_o pound_n it_o be_v no_o matter_n though_o the_o just_a weight_n of_o it_o be_v not_o determine_v will_v go_v down_o 35_o foot_n in_o water_n before_o it_o meet_v with_o a_o surface_n who_o potentia_fw-la be_v equal_a in_o weight_n to_o its_o own_o pondus_fw-la for_o if_o gold_n be_v 15_o time_n heavy_a natural_o than_o water_n than_o the_o say_v cylinder_n must_v go_v down_o before_o it_o rest_v 420_o inch_n or_o 35_o foot_n but_o a_o piece_n of_o gold_n 12_o inch_n long_o and_o six_o inch_n thick_a that_o perhaps_o will_v weigh_v 208_o pound_n will_v sink_v no_o further_o than_o 15_o foot_n and_o the_o reason_n be_v because_o if_o one_o inch_n of_o gold_n require_v 15_o of_o water_n to_o counterpoise_v it_o then_z 12_o must_v only_o require_v 180_o or_o 15_o foot_n note_v that_o both_o the_o body_n must_v go_v down_o perpendicular_o and_o not_o as_o it_o be_v horizontal_o with_o their_o side_n downmost_a for_o if_o they_o go_v down_o after_o this_o manner_n they_o can_v sink_v so_o far_o the_o reason_n of_o this_o be_v also_o evident_a because_o a_o heavy_a body_n go_v so_o far_o down_o and_o no_o further_o till_o it_o have_v thrust_v â—s_v much_o water_n out_o of_o its_o place_n as_o will_v counterpoise_v itself_o in_o a_o balance_n that_o be_v to_o say_v if_o a_o heavy_a body_n weigh_v 100_o pound_n it_o must_v go_v no_o further_o down_o than_o after_o it_o have_v thrust_v out_o 100_o pound_n of_o water_n but_o so_o it_o be_v that_o a_o piece_n of_o gold_n in_o form_n of_o a_o arrow_n go_v down_o side-wise_a or_o with_o the_o two_o end_n parallel_v to_o the_o horizon_n will_v thrust_v as_o much_o water_n out_o of_o its_o place_n as_o will_v be_v the_o weight_n of_o itself_o before_o it_o can_v go_v down_o 15_o or_o 16_o inch_n from_o the_o top_n because_o for_o every_o inch_n it_o go_v down_o side-wise_a it_o expel_v 28_o inch_n of_o water_n in_o go_v down_o two_o inch_n it_o expel_v 56._o in_o go_v down_o three_o inch_n it_o expel_v 84_o and_o so_o forward_o till_o it_o go_v down_o 15_o inch_n where_o it_o expel_v 420_o inch_n but_o 420_o inch_n amount_v to_o 35_o foot_n now_o take_v a_o cylinder_n of_o water_n 35_o foot_n high_a and_o just_a the_o thickness_n of_o the_o cylinder_n of_o gold_n which_o i_o suppose_v to_o be_v of_o half_a a_o inch_n and_o put_v they_o in_o a_o balance_n and_o you_o will_v find_v the_o one_o just_a the_o weight_n of_o the_o other_o neither_o can_v the_o piece_n of_o gold_n go_v so_o far_o down_o as_o before_o if_o it_o go_v down_o side-wise_a because_o for_o every_o six_o inch_n it_o be_v drown_v it_o expel_v a_o bulk_n of_o water_n 12_o inch_n long_o and_o six_o inch_n thick_a therefore_o it_o must_v be_v suspend_v before_o it_o go_v beyond_o 90_o inch_n or_o seven_o foot_n and_o a_o half_a now_o if_o six_o inch_n give_v one_o foot_n 90_o inch_n will_v give_v 15_o foot_n but_o 15_o of_o water_n in_o height_n and_o six_o inch_n thick_a be_v the_o just_a weight_n of_o it_o in_o a_o balance_n viz._n 208_o pound_n we_o see_v second_o the_o broad_a and_o large_a the_o surface_n of_o a_o fluid_a be_v it_o be_v the_o more_o able_a and_o strong_a to_o support_v a_o heavy_a burden_n therefore_o the_o part_n of_o a_o surface_n of_o water_n six_o inch_n square_v every_o way_n will_v carry_v a_o far_o great_a weight_n than_o a_o part_n four_o inch_n square_a though_o a_o surface_n of_o water_n 34_o or_o 35_o foot_n deep_a be_v not_o able_a to_o sustain_v a_o cylinder_n of_o gold_n if_o it_o exceed_v 28_o or_o 29_o inch_n in_o height_n yet_o take_v a_o cylinder_n of_o gold_n 10_o foot_n high_a and_o reduce_v it_o by_o make_v it_o thick_a to_o the_o height_n of_o 20_o inch_n a_o surface_n of_o water_n little_o more_o than_o 24_o foot_n deep_o will_v sustain_v it_o or_o reduce_v a_o cylinder_n 10_o foot_n high_a which_o require_v a_o surface_n more_o than_o 100_o foot_n deep_a to_o a_o cylinder_n six_o inch_n high_a a_o surface_n little_o more_o than_o seven_o foot_n deep_o will_v support_v it_o we_o see_v three_o the_o reason_n why_o body_n that_o be_v broad_a and_o large_a move_v â—lowlier_o through_o air_n and_o water_n than_o body_n that_o be_v more_o thin_a and_o slender_a though_o both_o be_v of_o the_o same_o weight_n in_o a_o balance_n for_o example_n 20_o pound_n of_o lead_n long_o and_o slender_a like_o a_o arrow_n will_v go_v soon_o to_o the_o ground_n of_o a_o deep_a water_n than_o a_o piece_n of_o lead_n of_o the_o same_o weight_n in_o form_n of_o a_o platter_n or_o bason_n the_o reason_n be_v because_o as_o the_o body_n be_v broad_a so_o it_o take_v a_o broad_a part_n of_o a_o surface_n which_o broad_a part_n be_v strong_a and_o able_a than_o a_o narrow_a part_n and_o so_o make_v the_o great_a resistance_n the_o same_o be_v the_o reason_n why_o a_o bullet_n six_o inch_n in_o diameter_n move_v â—lowlier_a through_o the_o air_n shoot_v from_o a_o cannon_n than_o a_o bullet_n one_o inch_n in_o diameter_n for_o the_o same_o reason_n ship_n of_o seven_o or_o eight_o hundred_o tun_n move_v far_o slowly_o through_o the_o air_n and_o water_n than_o vessel_n of_o less_o burden_n item_n large_a and_o big_a fowl_n as_o eagle_n move_v slowly_o than_o small_a bird_n as_o swallow_n yea_o of_o fowl_n of_o the_o same_o quantity_n one_o may_v move_v quick_o than_o another_o as_o be_v evident_a in_o long-winged_a hawk_n as_o falcon_n that_o by_o the_o sharpness_n of_o their_o wing_n move_v far_o more_o space_n in_o half_a a_o hour_n than_o kite_n or_o gosehawk_n who_o wing_n be_v round_a we_o see_v four_a that_o there_o be_v no_o body_n how_o heavy_a soever_o but_o it_o may_v be_v support_v by_o the_o surface_n of_o a_o fluid_a either_o in_o air_n or_o in_o water_n i_o grant_v the_o strong_a surface_n of_o air_n that_o can_v be_v have_v be_v not_o able_a to_o support_v more_o weight_n than_o a_o cylinder_n of_o gold_n 28_o inch_n high_a yet_o though_o it_o be_v as_o large_a and_o broad_a as_o a_o millstone_n if_o it_o do_v not_o exceed_v the_o say_a height_n the_o air_n be_v able_a to_o sustain_v it_o for_o the_o same_o cause_n if_o it_o be_v possible_a to_o free_v a_o millstone_n of_o the_o air_n that_o rest_v upon_o it_o the_o air_n below_o will_v lift_v it_o from_o the_o ground_n and_o carry_v it_o up_o many_o fathom_n even_o till_o it_o come_v to_o a_o surface_n equal_a in_o power_n to_o the_o weight_n of_o the_o stone_n or_o if_o a_o large_a millstone_n be_v demit_v from_o the_o top_n of_o the_o atmosphere_n towards_o the_o earth_n it_o can_v hardly_o
degree_n of_o weight_n the_o water_n press_v up_o the_o air_n with_o the_o same_o degree_n of_o force_n and_o power_n do_v the_o air_n press_v down_o the_o water_n if_o this_o be_v not_o it_o will_v be_v impossible_a for_o a_o man_n to_o go_v down_o because_o of_o pain_n for_o when_o one_o part_n of_o a_o man_n body_n be_v less_o press_v than_o another_o there_o arise_v a_o considerable_a pain_n which_o sometime_o be_v intolerable_a as_o be_v evident_a from_o the_o application_n of_o ventoso-glass_n this_o equality_n of_o weight_n be_v the_o true_a reason_n why_o respiration_n be_v so_o easy_a yet_o it_o be_v to_o be_v observe_v that_o a_o man_n can_v breathe_v so_o easy_o in_o the_o ark_n under_o the_o water_n as_o above_o in_o the_o air_n not_o because_o there_o be_v any_o inequality_n between_o the_o weight_n of_o the_o water_n and_o the_o force_n of_o the_o air_n but_o only_o because_o the_o quantity_n of_o it_o be_v little_a for_o when_o a_o man_n suck_v in_o as_o much_o air_n as_o fill_v his_o lung_n the_o quantity_n must_v be_v diminish_v if_o this_o be_v the_o water_n must_v ascend_v by_o proportion_n though_o insensible_o when_o a_o man_n thrust_v out_o the_o same_o air_n again_o the_o quantity_n be_v increase_v if_o this_o be_v than_o the_o water_n must_v subside_o a_o little_a both_o which_o can_v be_v without_o difficulty_n see_v there_o be_v a_o sort_n of_o ebb_a and_o flow_v both_o of_o the_o air_n and_o of_o the_o water_n in_o every_o respiration_n but_o it_o rather_o seem_v you_o say_v that_o this_o difficulty_n flow_v from_o the_o strong_a extraordinary_a bensil_n that_o the_o air_n be_v under_o i_o answer_v as_o long_o as_o the_o pressure_n of_o a_o fluid_a be_v uniform_a though_o in_o a_o high_a degree_n yet_o there_o can_v be_v no_o trouble_n in_o respiration_n because_o with_o what_o force_n soever_o it_o be_v drive_v in_o upon_o the_o lung_n with_o the_o same_o force_n it_o be_v drive_v out_o again_o therefore_o though_o the_o air_n we_o live_v in_o be_v as_o much_o again_o bend_a as_o it_o be_v yet_o as_o be_v probable_a we_o will_v find_v no_o more_o difficulty_n in_o breathe_v than_o now_o there_o be_v one_o thing_n make_v breathe_v easy_a under_o the_o water_n in_o the_o ark_n namely_o this_o when_o a_o man_n suck_v in_o the_o air_n to_o his_o lung_n his_o breast_n and_o belly_n go_v out_o and_o so_o fill_v the_o space_n desert_v by_o the_o air_n that_o go_v in_o this_o make_v the_o ebb_a and_o flow_v far_o less_o from_o this_o equality_n of_o weight_n between_o the_o pressure_n of_o the_o water_n and_o the_o pressure_n of_o the_o air_n we_o see_v good_a ground_n to_o say_v that_o though_o the_o ark_n be_v no_o thick_a in_o the_o side_n than_o a_o thin_a saw_v dale_n yet_o there_o will_v be_v no_o hazard_n of_o break_v i_o be_o confident_a though_o it_o be_v no_o strong_a in_o the_o side_n than_o a_o wine-glass_n that_o be_v soon_o break_v yet_o it_o may_v go_v down_o 40_o fathom_n without_o hazard_n or_o danger_n of_o burst_v this_o afford_v good_a ground_n likewise_o to_o make_v window_n in_o the_o ark_n cover_v with_o glass_n for_o if_o the_o pressure_n be_v uniform_a and_o equal_a its_o impossible_a they_o can_v be_v break_v the_o water_n can_v thrust_v they_o inward_a because_o the_o pressure_n of_o the_o air_n be_v as_o able_a to_o thrust_v they_o outward_a it_o be_v certain_a the_o more_o air_n be_v in_o the_o ark_n the_o more_o easy_a be_v respiration_n therefore_o it_o be_v more_o easy_a to_o breath_n when_o the_o ark_n be_v but_o down_o 5_o fathom_n than_o when_o it_o be_v down_o 10_o or_o 15._o it_o be_v probable_a a_o man_n may_v live_v within_o the_o ark_n it_o be_v 40_o inch_n deep_a and_o 36_o inch_n wide_a at_o the_o deepness_n of_o ten_o fathom_n near_o two_o hour_n whereas_o if_o it_o be_v round_o and_o narrow_a above_o in_o form_n of_o a_o bell_n he_o can_v not_o continue_v a_o hour_n it_o be_v very_o easy_a to_o try_v how_o long_o other_o creature_n may_v live_v in_o it_o for_o example_n dog_n and_o such_o like_a or_o fowl_n as_o hen_n pheasant_n or_o dove_n they_o may_v easy_o be_v enclose_v from_o come_v out_o for_o though_o the_o whole_a mouth_n of_o the_o ark_n be_v shut_v up_o except_o as_o much_o passage_n as_o will_v receive_v a_o man_n fist_n yet_o it_o will_v operate_v as_o well_o that_o way_n as_o the_o other_o and_o there_o a_o little_a door_n may_v be_v make_v to_o open_v and_o shut_v at_o pleasure_n it_o be_v observe_v that_o by_o long_o tarry_v under_o the_o water_n in_o the_o bell_n the_o air_n become_v gross_a and_o misty_a which_o hinder_v a_o man_n from_o see_v about_o he_o the_o cause_n of_o this_o be_v vapour_n that_o come_v from_o the_o stomach_n lung_n and_o other_o part_n of_o the_o body_n especial_o from_o the_o stomach_n when_o the_o ventricle_n be_v full_a of_o meat_n it_o be_v not_o fit_a then_o that_o a_o man_n about_o to_o dive_v shall_v eat_v too_o much_o or_o drink_v too_o much_o especial_o such_o liquor_n as_o sack_n or_o brandy_n that_o beget_v many_o fume_n and_o vapour_n if_o a_o man_n be_v necessitate_v to_o tarry_v a_o pretty_a while_n below_o fresh_a air_n may_v be_v send_v down_o from_o above_o in_o bottle_n or_o bladder_n even_o as_o much_o as_o may_v fill_v up_o the_o place_n desert_v by_o the_o contract_v air._n it_o be_v observe_v by_o some_o that_o have_v be_v under_o the_o water_n that_o their_o ear_n have_v be_v so_o trouble_v that_o for_o a_o long_a time_n they_o have_v find_v difficulty_n to_o hear_v distinct_o the_o reason_n of_o this_o must_v be_v from_o the_o great_a pressure_n the_o tympanum_fw-la have_v suffer_v from_o the_o imprison_a air_n of_o the_o bell._n the_o organ_n of_o hear_v be_v soon_o trouble_v especial_o when_o a_o man_n be_v near_o to_o a_o great_a gun_n when_o it_o be_v fire_v and_o sure_o when_o a_o man_n be_v but_o 34_o foot_n down_o the_o air_n within_o the_o ark_n will_v be_v of_o double_a bensil_n put_v the_o case_n the_o man_n go_v down_o 68_o foot_n or_o 13_o or_o 14_o fathom_n the_o bensil_n be_v tripled_a that_o be_v to_o say_v if_o the_o air_n above_o have_v five_o degree_n of_o pressure_n in_o it_o the_o air_n of_o the_o bell_n at_o 68_o foot_n deep_a will_v have_v 15_o degree_n of_o pressure_n therefore_o the_o tympanum_fw-la of_o the_o ear_n that_o be_v but_o a_o small_a and_o thin_a membran_n must_v be_v sore_o distress_v that_o be_v overbended_a and_o press_v inward_a even_o as_o while_o a_o man_n set_v upon_o a_o drum_n head_n a_o great_a weight_n v_o g._n a_o bullet_n of_o lead_n or_o iron_n of_o 20_o or_o 30_o pound_n the_o skin_n by_o this_o suffer_v a_o extraordinary_a pressure_n whereby_o it_o be_v in_o hazard_n to_o be_v rend_v it_o be_v probable_a if_o a_o man_n shall_v go_v very_o far_o down_o the_o tympanum_fw-la may_v be_v in_o hazard_n of_o break_v or_o be_v rend_v in_o two_o piece_n there_o be_v a_o great_a pressure_n upon_o the_o one_o side_n from_o the_o air_n without_o than_o upon_o the_o other_o side_n from_o the_o internal_a air_n within_o which_o be_v think_v to_o be_v within_o the_o tympanum_fw-la there_o remain_v another_o phenomenon_n to_o be_v explicate_v and_o it_o be_v this_o the_o further_a up_o the_o ark_n come_v from_o the_o ground_n of_o the_o water_n towards_o the_o top_n the_o water_n within_o it_o subside_n and_o settle_v down_o more_o and_o more_o towards_o the_o mouth_n the_o reason_n of_o it_o be_v because_o the_o further_o up_o the_o pressure_n of_o the_o water_n be_v the_o less_o and_o therefore_o the_o contract_a air_n get_v liberty_n to_o expand_v and_o dilate_v itself_o and_o so_o thrust_v down_o the_o water_n from_o p_o q_o to_o l_o m._n in_o a_o word_n by_o what_o proportion_n the_o air_n be_v contract_v in_o go_v down_o by_o that_o same_o proportion_n it_o dilate_v and_o open_v itself_o in_o come_v up_o this_o let_v we_o see_v as_o there_o be_v disadvantage_n in_o go_v down_o from_o the_o contraction_n of_o the_o air_n so_o there_o be_v advantage_n in_o come_v up_o from_o the_o dilatation_n of_o it_o some_o think_v that_o the_o coldness_n of_o the_o water_n be_v the_o cause_n why_o the_o air_n be_v contract_v in_o the_o ark_n such_o be_v those_o who_o deny_v the_o pressure_n of_o it_o but_o this_o fancy_n be_v easy_o refute_v because_o in_o assert_v this_o they_o must_v maintain_v the_o further_o down_o the_o cold_a be_v the_o great_a if_o this_o be_v then_o far_o more_o air_n must_v be_v contract_v in_o go_v down_o from_o 10_o to_o 15_o fathom_n than_o in_o pass_v from_o 5_o to_o 10_o see_v as_o they_o say_v the_o further_o down_o the_o cold_a be_v the_o great_a and_o therefore_o
as_o before_o all_o the_o part_n of_o the_o same_o surface_n be_v burden_v with_o the_o like_a weight_n but_o the_o part_n a_o sustain_v 476_o pound_n therefore_o the_o part_n c_o must_v support_v as_o much_o the_o connexion_n be_v evident_a and_o the_o antecedent_n be_v so_o too_o because_o the_o water_n a_o b_o being_n 34_o foot_n high_a and_o six_o inch_n thick_a must_v weigh_v 476_o pound_n for_o if_o 216_o inch_n weigh_v seven_o pound_n 14688_o inch_n must_v weigh_v 476_o pound_n i_o assert_v four_a the_o pillar_n of_o air_n f_o h_n to_o weigh_v 1904_o pound_n which_o i_o demonstrat_fw-la by_o the_o former_a medium_fw-la all_o the_o part_n of_o a_o fluid_a that_o lie_n in_o the_o same_o horizontal_a surface_n be_v equal_o press_v but_o so_o it_o be_v that_z e_z and_o f_o do_v so_o lie_v therefore_o f_o must_v be_v as_o much_o burden_v as_o e_z the_o water_n therefore_o e_z g_z weigh_v 1904_o pound_n the_o air_n f_o h_n must_v weigh_v as_o much_o for_o if_o 216_o inch_n of_o water_n weigh_v seven_o pound_n 58752_o inch_n for_o so_o many_o be_v in_o the_o water_n e_o g_o must_v weigh_v 1904_o pound_n let_v we_o suppose_v second_o the_o tub_n a_o b_o to_o be_v only_o 29_o inch_n high_a and_o the_o tub_n e_o g_o of_o the_o same_o height_n and_o that_o six_o inch_n wide_a and_o this_o 12_o inch_n wide_a i_o affirm_v then_o five_o the_o air_n c_o d_o to_o weigh_v yet_o 476_o pound_n and_o the_o air_n f_o h_n to_o weigh_v 1904_o pound_n because_o the_o pillar_n of_o mercury_n a_o b_o weigh_v 476_o pound_n and_o the_o pillar_n of_o mercury_n e_o g_o weigh_v 1904_o pound_n therefore_o if_o a_o b_o be_v 476_o c_z d_o must_v be_v as_o much_o and_o if_o e_z g_z be_v 1904_o f_o h_n must_v be_v of_o the_o same_o weight_n i_o prove_v the_o mercury_n a_o b_o to_o weigh_v about_o 476_o pound_n though_o it_o be_v but_o 29_o inch_n high_a because_o it_o be_v 14_o time_n heavy_a than_o water_n for_o the_o same_o cause_n do_v the_o mercury_n e_o g_o weigh_v about_o 1904_o pound_n i_o say_v about_o because_o 34_o foot_n contain_v 29_o inch_n more_o than_o 14_o time_n let_v it_o be_v suppose_v three_o the_o pipe_n e_o g_o be_v 34_o foot_n high_a to_o have_v the_o one_o half_a of_o it_o i_o g_o full_a of_o air_n and_o the_o other_o half_a e_o k_o full_a of_o water_n i_o affirm_v then_o sixthly_a the_o part_n e_o and_o the_o part_n f_o to_o be_v yet_o equal_o burden_v that_o be_v to_o say_v the_o water_n e_o k_n that_o be_v now_o but_o 17_o foot_n make_v as_o great_a a_o pressure_n upon_o e_o as_o when_o it_o be_v 34_o foot_n the_o reason_n of_o this_o be_v sure_o the_o pressure_n of_o the_o air_n i_o g_o that_o bear_v down_o the_o water_n k_o e_o with_o the_o weight_n of_o 952_o pound_n the_o half_a of_o 1904_o pound_n if_o it_o be_v say_v according_a to_o the_o theorem_fw-la 21_o that_o there_o be_v as_o much_o pressure_n and_o weight_n in_o the_o least_o part_n of_o a_o fluid_a as_o in_o the_o whole_a therefore_o the_o air_n i_o g_o must_v be_v as_o heavy_a as_o e_o h._n i_o answer_v i_o g_o be_v not_o so_o heavy_a as_o f_o h_n because_o the_o water_n e_o k_n impend_v in_o the_o low_a part_n of_o the_o tub_n have_v occasion_v the_o air_n i_o g_o to_z expand_v itself_o so_o many_o inch_n by_o which_o mean_n it_o lose_v so_o many_o degree_n of_o its_o bensil_n if_o you_o remove_v the_o water_n e_o k_n then_o will_v the_o air_n i_o g_o be_v as_o heavy_a as_o f_o h_n because_o e_o k_o be_v air_n it_o reduce_v i_o g_z to_o that_o same_o degree_n of_o bensil_n with_o itself_o but_o when_o the_o air_n e_z be_v burden_v with_o the_o water_n e_o k_n it_o can_v make_v the_o air_n i_o g_o of_o that_o same_o weight_n with_o itself_o let_v we_o suppose_v four_a that_o only_o eight_o foot_n and_o a_o half_a of_o water_n be_v in_o the_o tub_n namely_o between_o e_z and_o n._n i_o say_v then_o seventhly_a that_o the_o part_n e_o be_v as_o much_o burden_v with_o it_o as_o when_o the_o pipe_n be_v full_a because_o the_o 25_o foot_n and_o a_o half_a of_o air_n n_o g_o be_v exact_o as_o heavy_a as_o the_o 25_o foot_n and_o a_o half_a of_o the_o water_n that_o be_v go_v i_o prove_v it_o thus_o the_o air_n e_z have_v the_o weight_n of_o 1904_o pound_n in_o itself_o see_v the_o weight_n of_o the_o surface_n be_v always_o equal_a to_o the_o weight_n of_o the_o pillar_n but_o be_v burden_v with_o the_o water_n e_o n_o that_o weigh_v 476_o pound_n it_o can_v press_v up_o with_o more_o weight_n then_o with_o 1428_o pound_n and_o therefore_o the_o top_n of_o the_o water_n n_o must_v press_v upon_o the_o under_o part_n of_o the_o air_n that_o be_v contiguous_a with_o it_o with_o 1428._o if_o this_o be_v the_o air_n n_o g_o must_v press_v down_o with_o as_o much_o see_v according_a to_o the_o 20_o theorem_fw-la it_o be_v impossible_a that_o one_o part_n of_o a_o fluid_a can_v be_v under_o pressure_n unless_o the_o next_o adjacent_a part_n be_v under_o the_o same_o degree_n of_o pressure_n therefore_o i_o conclude_v that_o the_o 25_o foot_n and_o a_o half_a of_o air_n n_o g_o be_v as_o heavy_a as_o the_o 25_o foot_n and_o a_o half_a of_o the_o water_n that_o be_v go_v this_o make_v it_o evident_a also_o that_o when_o the_o pipe_n be_v half_a full_a of_o water_n as_o e_o k_o the_o air_n i_o g_o have_v the_o weight_n of_o 952_o pound_n because_o e_z be_v in_o itself_o 1904_o but_o be_v burden_v with_o e_o k_o 952_o it_o can_v make_v the_o top_n of_o the_o water_n k_o press_v upon_o i_o with_o more_o weight_n than_o 952_o and_o therefore_o by_o the_o 20_o theorem_fw-la the_o air_n g_o i_o must_v weigh_v 952_o likewise_o i_o affirm_v eighthly_a that_o when_o the_o pipe_n be_v full_a of_o water_n from_o e_z to_z g_z if_o a_o man_n poise_v it_o in_o his_o hand_n he_o do_v not_o find_v the_o weight_n of_o the_o water_n e_o g._n and_o the_o reason_n be_v because_o it_o be_v sustain_v by_o the_o part_n of_o the_o surface_n e._n but_o if_o the_o air_n e_o sustain_v it_o my_o hand_n can_v sustain_v it_o i_o find_v then_o only_o the_o weight_n of_o the_o tub_n but_o not_o the_o weight_n of_o the_o water_n within_o it_o i_o say_v ninthly_a that_o when_o i_o poise_v the_o say_a tub_n i_o find_v the_o whole_a weight_n of_o the_o pillar_n of_o air_n l_o m_o which_o be_v exact_o 1904_o pound_n i_o prove_v it_o thus_o the_o pondus_fw-la of_o a_o fluid_a be_v then_o only_o find_v when_o there_o be_v not_o a_o potentia_fw-la to_o counterpoise_v it_o or_o at_o least_o when_o the_o potentia_fw-la be_v inferior_a to_o the_o pondus_fw-la but_o there_o be_v here_o no_o potentia_fw-la counterpoise_v the_o pondus_fw-la of_o the_o air_n l_o m._n therefore_o i_o must_v find_v the_o weight_n of_o it_o when_o i_o lift_v up_o the_o tub._n the_o major_a proposition_n be_v clear_a from_o the_o ten_o theorem_fw-la it_o be_v evident_a also_o from_o common_a experience_n for_o while_o a_o balance_n be_v hang_v upon_o a_o nail_n with_o six_o pound_n in_o the_o one_o scale_n and_o nothing_o in_o the_o other_o you_o will_v find_v the_o whole_a burden_n if_o you_o press_v up_o that_o one_o scale_n with_o the_o palm_n of_o your_o hand_n but_o if_o so_o be_v there_o be_v six_o pound_n in_o the_o opposite_a scale_n you_o will_v not_o find_v the_o first_o six_o and_o the_o reason_n be_v because_o it_o be_v in_o equilibrio_n with_o other_o six_o it_o be_v just_a so_o here_o i_o must_v find_v the_o weight_n of_o the_o air_n l_o m_o while_n i_o poise_v the_o tub_n because_o it_o want_v a_o weight_n to_o counterbalance_v it_o i_o prove_v the_o minor_a proposition_n thus_o if_o any_o thing_n counterbalance_v the_o air_n l_o m_o it_o must_v either_o be_v the_o air_n below_o namely_o the_o part_n e_o or_o the_o water_n e_o g_o but_o neither_o of_o the_o twain_o can_v do_v it_o not_o the_o air_n e_o because_o it_o have_v as_o great_a a_o burden_n upon_o it_o as_o it_o be_v able_a to_o support_v namely_o the_o water_n e_o g_o that_o weigh_v 1904_o pound_n and_o for_o this_o cause_n not_o the_o water_n itself_o see_v all_o the_o force_n it_o can_v have_v to_o counterbalance_n l_o m_o be_v from_o the_o surface_n of_o air_n e_o but_o this_o be_v in_o equilibrio_n with_o it_o already_o i_o say_v that_o the_o air_n l_o m_o be_v exact_o 1904_o pound_n weight_n this_o also_o be_v evident_a because_o it_o be_v just_a of_o these_o same_o dimension_n with_o the_o air_n f_o h._n if_o it_o be_v say_v the_o air_n l_o m_o must_v be_v thick_a see_v its_o equal_a to_o
that_o be_v specifical_o or_o natural_o light_a than_o water_n i_o say_v then_o it_o must_v ascend_v to_o the_o top_n b_o and_o the_o reason_n be_v because_o the_o quadrat_fw-la foot_n of_o water_n k_o be_v more_o press_v upward_o than_o the_o quadrat_fw-la foot_n of_o water_n i_o or_o l_o be_v but_o this_o can_v be_v iâ—_n fluid_a body_n unless_o motion_n follow_v thereupon_o i_o say_v it_o be_v more_o press_v up_o because_o r_o be_v light_a than_o n_o or_o saint_n it_o must_v press_v with_o great_a force_n upon_o k_o than_o saint_n can_v do_v upon_o l_o or_o n_o upon_o i._o it_o be_v still_o to_o be_v remember_v that_o fluids_n press_v with_o as_o much_o strength_n upward_o as_o downward_o according_a to_o the_o six_o theorem_n and_o that_o a_o horizontal_n surfaceâ—doth_a as_o real_o suffer_v unequal_a pressure_n from_o below_o as_o from_o above_z theorem_fw-la fourteen_o body_n natural_o light_a than_o water_n swim_v upon_o the_o surface_n and_o top_n figure_n 1._o the_o reason_n of_o this_o proposition_n must_v be_v take_v from_o the_o nature_n of_o a_o equipondium_fw-la or_o equal_a weight_n for_o without_o doubt_n there_o be_v a_o counterbalance_n between_o the_o pressure_n of_o the_o water_n and_o the_o weight_n of_o the_o body_n that_o swim_v to_o make_v this_o probable_a let_v we_o suppose_v there_o be_v a_o piece_n of_o timber_n in_o form_n of_o a_o cube_n six_o inch_n thick_a every_o way_n without_o weight_n in_o this_o case_n the_o undersurface_n of_o that_o foursquared_a body_n be_v apply_v to_o the_o surface_n of_o the_o water_n a_o will_v lie_v close_o upon_o it_o as_o one_o plain_a table_n lie_v upon_o the_o face_n of_o another_o without_o any_o pressure_n and_o it_o be_v void_a of_o weight_n the_o part_n of_o the_o surface_n a_o will_v be_v no_o more_o burden_v than_o the_o next_o part_n b_o adjacent_a whence_o no_o motion_n will_v follow_v here_o be_v no_o equipondium_fw-la or_o counterbalance_n second_o let_v we_o suppose_v the_o say_a body_n to_o acquire_v two_o ounce_n of_o weight_n than_o it_o follow_v that_o it_o must_v subside_o and_o sink_v two_o inch_n below_o the_o surface_n a_o b_o c_o d_o and_o that_o so_o far_o till_o it_o come_v by_o virtue_n of_o its_o new_a acquire_v weight_n to_o a_o counterbalance_n with_o the_o pressure_n of_o the_o water_n which_o pressure_n be_v nothing_o else_o but_o as_o much_o force_n or_o weight_n as_o be_v equivalent_a to_o the_o weight_n of_o water_n that_o be_v thrust_v out_o of_o its_o own_o place_n by_o the_o subside_v and_o sink_v of_o that_o body_n two_o inch_n three_o let_v we_o suppose_v the_o same_o body_n to_o acquire_v other_o two_o ounce_n of_o weight_n then_o must_v it_o subside_o other_o two_o inch_n last_o let_v we_o suppose_v that_o it_o acquire_v six_o ounce_n of_o weight_n than_o it_o follow_v that_o the_o whole_a body_n sink_v so_o far_o i_o mean_v till_o its_o upmost_a surface_n be_v in_o a_o horizontal_n line_n with_o the_o surface_n of_o the_o water_n a_o b_o c_o d._n here_o it_o swim_v also_o because_o the_o weight_n of_o it_o become_v just_a the_o weight_n of_o so_o much_o water_n as_o it_o have_v put_v out_o of_o its_o own_o place_n i_o say_v it_o must_v swim_v because_o if_o the_o water_n i_o be_v able_a to_o sustain_v the_o water_n e_o which_o be_v put_v from_o its_o own_o place_n sure_o it_o must_v be_v able_a to_o sustain_v that_o body_n also_o that_o do_v thrust_v it_o from_o its_o own_o place_n see_v both_o be_v of_o the_o same_o weight_n namely_o six_o ounce_n in_o this_o case_n the_o body_n immerge_v and_o the_o water_n wherein_o it_o be_v drown_v become_v of_o the_o same_o weight_n specifical_o see_v bulk_n for_o bulk_n be_v of_o the_o same_o weight_n to_o make_v this_o body_n specifical_o or_o natural_o heavy_a than_o water_n and_o consequent_o to_o sink_v to_o the_o bottom_n nothing_o be_v require_v but_o to_o suppose_v that_o it_o acquire_v one_o ounce_n more_o of_o weight_n which_o do_v it_o present_o go_v down_o i_o be_v more_o burden_v then_o k._n note_v by_o the_o way_n a_o twofold_a weight_n in_o heavy_a body_n one_o individual_a the_o other_o specific_a and_o that_o two_o body_n agree_v in_o individual_a weight_n may_v differ_v in_o specific_a weight_n so_o a_o pound_n of_o lead_n and_o a_o pound_n of_o cork_n agree_v individual_o because_o they_o be_v both_o 16._o ounce_n but_o they_o differ_v specifical_o because_o the_o one_o be_v natural_o heavy_a than_o the_o other_o theorem_fw-la xv._n no_o body_n that_o flot_v above_o water_n even_o though_o its_o upper_a surface_n be_v level_a with_o the_o surface_n of_o the_o water_n can_v ever_o be_v make_v to_o swim_v between_o the_o top_n and_o the_o bottom_n figure_n 1._o for_o clear_v this_o proposition_n let_v we_o suppose_v f_o to_o be_v a_o foursquare_a piece_n of_o timber_n of_o the_o same_o specific_a and_o natural_a weight_n with_o water_n and_o consequent_o its_o upper_a surface_n to_o be_v level_a with_o the_o surface_n of_o the_o water_n a_o b_o c_o d._n i_o say_v then_o if_o it_o be_v press_v down_o to_o r_o it_o shall_v arise_v thence_o and_o never_o rest_n till_o it_o be_v where_o it_o be_v namely_o in_o f._n the_o reason_n seem_v to_o be_v this_o because_o the_o foursquared_a body_n of_o water_n r_o be_v real_o heavy_a than_o the_o foursquared_a piece_n of_o timber_n f._n if_o this_o be_v true_a it_o follow_v of_o necessity_n that_o it_o must_v ascend_v for_o if_o the_o timber_n exist_v in_o r_o be_v light_a than_o the_o water_n r_o the_o water_n t_o must_v be_v less_o press_v than_o the_o water_n o_o or_o the_o water_n v_o whence_o according_a to_o the_o twelve_o theorem_n motion_n must_v follow_v again_o if_o the_o timber_n r_o exist_v in_o the_o water_n r_o be_v light_a than_o the_o same_o water_n be_v then_o must_v the_o water_n k_o be_v more_o press_v up_o then_o the_o water_n i_o or_o l_o whence_o yet_o according_a to_o the_o same_o theorem_fw-la motion_n must_v follow_v if_o it_o be_v say_v that_o the_o timber_n f_o be_v of_o the_o same_o weight_n with_o the_o water_n r_o because_o it_o be_v equal_a in_o weight_n with_o the_o water_n f_o which_o it_o have_v thrust_v out_o of_o its_o own_o place_n it_o must_v also_o be_v equal_a in_o weight_n to_o the_o water_n r_o see_v f_o and_o r_o be_v of_o the_o same_o dimension_n be_v of_o the_o same_o weight_n there_o be_v no_o way_n to_o answer_v this_o difficulty_n unless_o i_o say_v the_o foursquared_a body_n of_o water_n r_o be_v real_o and_o true_o heavy_a than_o the_o foursquared_a body_n of_o water_n f._n the_o reason_n seem_v to_o be_v because_o the_o water_n r_o be_v under_o a_o great_a pressure_n than_o the_o water_n f_o and_o by_o virtue_n of_o this_o great_a pressure_n there_o be_v real_o more_o part_n of_o water_n in_o it_o then_o in_o f_o therefore_o it_o must_v be_v heavy_a even_o as_o there_o be_v far_o more_o part_n of_o air_n in_o one_o cubick_a foot_n near_o the_o earth_n then_o in_o six_o or_o seven_o near_o the_o atmosphere_n hence_o it_o be_v that_o a_o pint_n of_o water_n take_v from_o the_o bottom_n of_o the_o sea_n forty_o fathom_n deep_a will_v be_v heavy_a i_o mean_v in_o a_o balance_n than_o a_o pint_n take_v from_o the_o surface_n take_v notice_n that_o when_o the_o vessel_n be_v once_o full_a at_o the_o bottom_n the_o orifice_n must_v be_v close_o stop_v till_o it_o come_v to_o the_o top_n otherwise_o the_o part_n that_o be_v compress_v at_o the_o bottom_n namely_o by_o the_o weight_n of_o the_o superior_a part_n relax_n themselves_o before_o they_o come_v to_o the_o top_n theorem_fw-la xvi_o it_o be_v not_o impossible_a for_o a_o body_n to_o be_v suspend_v between_o the_o surface_n and_o the_o bottom_n figure_n 1._o for_o understand_v this_o suppose_v f_o to_o be_v a_o foursquare_a piece_n of_o timber_n which_o though_o it_o will_v not_o rest_v but_o at_o the_o surface_n a_o b_o c_o d_o yet_o may_v be_v make_v to_o go_v down_o of_o its_o own_o accord_n and_o rest_n at_o t_o namely_o by_o make_v it_o so_o much_o heavy_a as_o the_o water_n t_n be_v heavy_a than_o the_o water_n f._n to_o know_v this_o difference_n which_o be_v not_o very_o practicable_a the_o cube_n of_o water_n t_o must_v be_v bring_v from_o its_o own_o place_n under_o the_o same_o degree_n of_o pressure_n it_o have_v and_o put_v into_o the_o scale_n of_o a_o balance_n and_o weigh_v with_o the_o cube_n of_o water_n f_o put_v into_o the_o other_o scale_n now_o if_o the_o water_n t_o be_v half_o a_o ounce_n heavy_a than_o the_o water_n f_o then_o to_o make_v the_o timber_n f_o hang_v in_o t_o it_o must_v be_v make_v half_o a_o ounce_n heavy_a there_o seem_v to_o be_v reason_n for_o it_o
a_o light_a fluid_n be_v able_a to_o press_v with_o as_o great_a burden_n as_o a_o heavy_a figure_n 2._o this_o proposition_n be_v true_a not_o only_o of_o water_n in_o respect_n of_o mercury_n but_o of_o air_n in_o respect_n of_o they_o both_o for_o albeit_o air_n be_v a_o thousand_o time_n light_a than_o water_n yet_o may_v it_o have_v as_o great_a a_o pressure_n with_o it_o as_o water_n as_o be_v evident_a from_o this_o second_o schematism_n where_o by_o the_o pressure_n of_o the_o outward_a air_n g_o h_o a_o b_o twenty_o nine_o inch_n of_o mercury_n o_o p_o be_v support_v as_o well_o as_o the_o twenty_o nine_o inch_n e_o o_fw-fr by_o the_o pressure_n of_o the_o water_n a_o b_o e_o f._n so_o do_v the_o same_o air_n sustain_v the_o thirty_o four_o foot_n of_o water_n n_o r_o which_o be_v real_o as_o heavy_a as_o the_o twenty_o nine_o inch_n of_o mercury_n o_o p._n now_o if_o the_o weight_n of_o the_o atmosphere_n be_v equivalent_a to_o the_o weight_n of_o thirty_o four_o foot_n of_o 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l_o be_v put_v into_o the_o scale_n of_o a_o balance_n it_o will_v exact_o counterpoise_v the_o thirty_o four_o foot_n of_o water_n n_o r_o pour_v into_o the_o other_o scale_n item_n that_o as_o much_o water_n as_o will_v fill_v the_o tub_n between_o e_z and_o a_o be_v just_a the_o weight_n of_o the_o mercury_n e_o o._n last_o that_o as_o much_o air_n as_o will_v fill_v the_o pipe_n between_o o_o and_o g_o be_v just_a the_o weight_n of_o the_o mercury_n o_o p._n theorem_fw-la xxviii_o the_o pressure_n of_o fluids_n do_v not_o diminish_v while_o you_o subtract_v from_o their_o thickness_n but_o only_o when_o you_o subtract_v from_o their_o altitude_n figure_n 1._o for_o understand_v this_o let_v we_o look_v upon_o the_o first_o schematism_n where_o there_o be_v four_o pillar_n of_o water_n now_o i_o say_v though_o you_o cut_v off_o the_o three_o colume_n of_o water_n upon_o the_o right_a side_n yet_o there_o shall_v remain_v as_o much_o pressure_n in_o the_o quadrat_fw-la foot_n of_o water_n q_n as_o be_v while_o these_o be_v entire_a but_o if_o you_o cut_v off_o from_o the_o top_n the_o water_n e_o f_o g_o h_n then_o present_o a_o alteration_n follow_v not_o only_o in_o the_o low_a part_n nigh_o to_o the_o bottom_n but_o through_o all_o the_o intermediat_a part_n for_o not_o only_o the_o water_n q_n lose_v a_o degree_n of_o its_o pressure_n but_o the_o water_n p_o and_o o_o suffer_v the_o same_o loss_n this_o theorem_fw-la hold_v true_a likewise_o in_o order_n to_o the_o element_n of_o air._n for_o if_o by_o divine_a providence_n the_o air_n shall_v become_v less_o in_o altitude_n than_o it_o be_v then_o sure_o the_o bensil_n of_o the_o ambient_fw-la air_n that_o we_o breath_n in_o and_o out_o shall_v be_v by_o proportion_n weaken_v also_o and_o contrariwise_o if_o the_o altitude_n become_v more_o than_o strong_a shall_v the_o bensil_n be_v here_o with_o we_o in_o the_o low_a part_n both_o which_o will_v be_v hurtful_a to_o creature_n that_o live_v by_o breathe_v for_o if_o the_o altitude_n of_o the_o air_n be_v far_o more_o than_o it_o be_v our_o body_n will_v be_v under_o a_o far_o great_a pressure_n which_o sure_o will_v be_v very_o hurtful_a and_o upon_o the_o other_o hand_n if_o the_o altitude_n of_o the_o air_n be_v far_o less_o than_o it_o be_v we_o shall_v be_v at_o a_o great_a loss_n for_o then_o by_o reason_n of_o the_o weak_a bensil_n we_o will_v breathe_v indeed_o but_o with_o great_a difficulty_n theorem_fw-la xxix_o a_o thick_a pillar_n of_o a_o fluid_a be_v not_o able_a to_o press_v up_o a_o slenderer_n unless_o there_o be_v a_o unequal_a pressure_n figure_n 3._o for_o understand_v this_o let_v we_o suppose_v this_o three_o schematism_n to_o represent_v a_o vessel_n with_o water_n in_o it_o as_o high_a as_o a_o b_o among_o which_o be_v thrust_v down_o to_o the_o bottom_n the_o pipe_n g_o h_n open_a at_o both_o end_n i_o say_v then_o the_o two_o thick_a pillar_n of_o air_n e_o a_o and_o f_o b_o press_v upon_o the_o surface_n of_o the_o water_n a_o b_o be_v not_o able_a to_o press_v up_o the_o water_n h_n i_o or_o the_o slender_a pillar_n of_o air_n i_o g_o within_o the_o pipe_n the_o one_o high_a than_o i_o the_o other_o high_a than_o g._n if_o it_o be_v say_v they_o be_v heavy_a because_o they_o be_v thick_a i_o answer_v they_o be_v true_o heavy_a for_o the_o pillar_n of_o air_n f_o b_o apart_z will_v be_v thrice_o as_o heavy_a as_o the_o slender_a pillar_n of_o air_n i_o g._n but_o if_o you_o reckon_v the_o pillar_n of_o air_n e_o a_o upon_o the_o left_a hand_n both_o together_o will_v be_v six_o time_n heavy_a than_o the_o air_n i_o g_o yet_o be_v they_o not_o able_a either_o several_o or_o conjunct_o to_o press_v up_o the_o water_n h_n i_o high_o than_o i_o or_o the_o air_n i_o g_o high_o than_o g._n for_o solve_v this_o difficulty_n i_o must_v say_v conform_a to_o the_o four_o theorem_n that_o fluid_a body_n counterpoise_v one_o another_o not_o according_a to_o their_o thickness_n and_o breadth_n but_o according_a to_o their_o altitude_n only_o therefore_o see_v the_o slender_a pillar_n of_o air_n i_o g_o be_v as_o high_a as_o either_o f_o b_o or_o e_z a_o it_o can_v be_v press_v up_o by_o they_o for_o by_o virtue_n of_o this_o equal_a height_n all_o the_o three_o press_v equal_o and_o uniform_o upon_o the_o surface_n of_o water_n a_o b_o and_o therefore_o according_a to_o the_o twelve_o theorem_n there_o can_v be_v no_o motion_n but_o if_o so_o be_v the_o pillar_n f_o b_o be_v high_o than_o the_o pillar_n i_o g_o then_o sure_o will_v the_o water_n h_n i_o be_v press_v up_o for_o in_o such_o a_o case_n there_o be_v a_o unequal_a pressure_n or_o if_o the_o pillar_n i_o g_o be_v high_a than_o the_o pillar_n f_o b_o then_o sure_o will_v the_o water_n i_o h_n be_v press_v down_o there_o be_v again_o a_o unequal_a pressure_n the_o water_n within_o the_o pipe_n be_v more_o burden_v than_o the_o water_n about_o the_o pipe_n in_o a_o word_n there_o be_v no_o more_o difficulty_n here_o then_o if_o the_o pipe_n be_v take_v away_o in_o which_o case_n there_o will_v be_v but_o one_o pillar_n of_o air_n rest_v upon_o the_o surface_n of_o water_n a_o b._n if_o it_o be_v say_v the_o pipe_n be_v thrust_v down_o make_v of_o one_o pillar_n three_o distinct_a one_o and_o consequent_o a_o formal_a counterbalance_n or_o mutual_a sustentation_n be_v it_o so_o yet_o because_o all_o these_o press_n uniform_o there_o can_v be_v no_o motion_n theorem_fw-la xxx_o fluids_n press_v not_o only_o according_a to_o perpendicular_a line_n but_o according_a to_o crooked_a line_n figure_n 4._o for_o prove_v this_o proposition_n let_v we_o suppose_v a_o b_o c_o d_o to_o be_v a_o large_a vessel_n full_a of_o water_n as_o high_a as_o a_o n_o b_o and_o a_o little_a vessel_n lie_v within_o it_o near_o to_o the_o bottom_n close_o above_o at_o m_o but_o with_o a_o open_a orifice_n downward_o as_o g_z and_o have_v other_o two_o passage_n go_v in_o to_o it_o upon_o the_o right_n and_o leave_v side_n as_o e_z o_o and_o f_o p._n now_o i_o say_v the_o pressure_n of_o this_o water_n be_v not_o only_o from_o n_o to_o m_n in_o a_o straight_a line_n downward_o but_o from_o e_o to_o o_o and_o from_o f_o to_o p_o by_o crooked_a line_n nay_o put_v the_o case_n this_o vessel_n have_v no_o passage_n in_o to_o it_o but_o by_o a_o labyrinth_n or_o entry_n full_a of_o intricate_a wind_n yet_o the_o pressure_n will_v be_v communicate_v through_o all_o these_o even_o to_o the_o middle_n of_o it_o and_o which_o be_v more_o the_o water_n h_n or_o i_o within_o the_o vessel_n will_v be_v under_o the_o same_o
quicksilver_n therefore_o the_o pillar_n of_o air_n that_o counterpoise_v the_o pillar_n of_o quicksilver_n in_o the_o torricellian_a experiment_n be_v 14000_o time_n high_o the_o one_o be_v 29_o inch_n and_o therefore_o the_o other_o be_v 406000_o inch_n which_o will_v amount_v to_o 33833_o foot_n or_o about_o 6766_o fathom_n count_v five_o foot_n to_o a_o fathom_n and_o because_o air_n be_v count_v 1000_o time_n light_a than_o water_n therefore_o the_o pillar_n of_o air_n that_o sustain_v the_o pillar_n of_o water_n be_v 1000_o time_n high_o the_o height_n of_o water_n by_o the_o pressure_n of_o the_o air_n be_v 34_o foot_n and_o therefore_o the_o height_n of_o the_o air_n be_v a_o thousand_o time_n 34_o foot_n and_o because_o water_n be_v reckon_v 14_o time_n light_a than_o mercury_n therefore_o you_o will_v find_v even_o by_o experience_n that_o the_o pillar_n of_o water_n that_o counterpoise_n the_o pillar_n of_o mercury_n be_v 14_o time_n high_o for_o if_o the_o mercury_n be_v 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be_v communicate_v to_o the_o mean_a capacity_n for_o if_o at_o the_o first_o any_o mystical_a or_o abstruse_a experiment_n shall_v be_v propose_v with_o intricate_a description_n they_o will_v soon_o discourage_v and_o at_o last_o hinder_v the_o ingenuous_a reader_n from_o make_v progress_n for_o if_o a_o man_n do_v not_o take_v up_o distinct_o the_o experiment_n itself_o first_o he_o shall_v never_o be_v able_a to_o comprehend_v next_o the_o phenomena_n nor_o at_o last_o see_v the_o inference_n of_o the_o conclusion_n next_o though_o some_o of_o the_o trial_n may_v seem_v obvious_a yet_o they_o afford_v excellent_a phenomena_n by_o which_o many_o profound_a secret_n of_o nature_n be_v discover_v and_o if_o that_o be_v it_o be_v no_o matter_n what_o kind_n they_o be_v of_o then_o the_o grand_a design_n here_o be_v not_o to_o multiply_v bare_a and_o naked_a experiment_n for_o that_o be_v a_o work_n to_o no_o purpose_n for_o it_o be_v like_o a_o foundation_n without_o a_o superstructure_n but_o the_o intention_n be_v not_o only_o to_o describe_v such_o and_o such_o thing_n but_o to_o build_v such_o and_o such_o theorem_n upon_o they_o and_o to_o infer_v such_o and_o such_o conclusion_n as_o shall_v make_v a_o stately_a building_n and_o give_v a_o man_n in_o a_o short_a time_n a_o full_a view_n of_o this_o excellent_a doctrine_n for_o the_o first_o experiment_n then_o prepare_v a_o vessel_n of_o any_o quantity_n as_o a_o b_o c_o d_o near_o half_a full_a of_o water_n who_o surface_n be_v m_o h._n prepare_v also_o two_o glass-pipe_n the_o one_o wide_a the_o other_o narrow_a open_a at_o both_o end_n which_o must_v be_v thrust_v down_o below_o the_o water_n first_o stop_v the_o two_o upper_a orifice_n e_z and_o f._n this_o do_v open_v the_o say_v orifice_n and_o you_o shall_v see_v the_o water_n ascend_v in_o the_o wide_a to_o g_z and_o in_o the_o narrow_a to_o h._n now_o the_o question_n be_v what_o be_v the_o reason_n why_o the_o water_n do_v not_o 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within_o the_o pipe_n press_v the_o surface_n l_o k_n with_o as_o great_a a_o burden_n as_o the_o outward_a water_n press_v it_o for_o understand_v this_o you_o must_v know_v that_o when_o the_o orifice_n i_o be_v thrust_v down_o below_o the_o water_n there_o arise_v a_o sort_n of_o debate_n between_o the_o low_a part_n of_o the_o water_n and_o the_o air_n within_o the_o pipe_n the_o water_n strive_v to_o be_v in_o at_o ay_o and_o the_o air_n strive_v to_o keep_v it_o out_o but_o because_o the_o water_n be_v the_o strong_a party_n it_o enter_v the_o orifice_n i_o and_o cause_v the_o air_n retire_v a_o little_a up_o one_o four_o part_n or_o six_o part_n of_o a_o inch_n above_o i_o and_o no_o more_o which_o be_v a_o real_a compression_n it_o suffer_v for_o the_o orifice_n e_o being_z stop_v hinder_v any_o more_o compression_n than_o what_o be_v say_v in_o which_o instant_a of_o time_n the_o debate_n end_v the_o air_n no_o more_o yield_v and_o the_o water_n no_o more_o urge_v by_o which_o 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why_o it_o ascend_v no_o high_a than_o g_z be_v take_v from_o the_o equal_a pressure_n of_o the_o body_n that_o rest_v upon_o the_o surface_n m_o g_o h_o for_o assoon_o as_o it_o come_v that_o length_n all_o the_o part_n of_o the_o horizontal_a plain_n of_o water_n be_v uniform_o press_v with_o the_o incumb_a air_n both_o within_o the_o pipe_n and_o without_o the_o pipe_n the_o water_n in_o go_v up_o can_v halt_v midway_n between_o i_o and_o g_o for_o then_o there_o shall_v be_v a_o unequal_a pressure_n in_o fluid_n without_o motion_n which_o be_v impossible_a for_o the_o water_n be_v still_o strong_a than_o the_o air_n till_o once_o it_o climb_v up_o to_o g._n from_o this_o experiment_n we_o see_v first_o that_o in_o water_n there_o be_v a_o pressure_n and_o force_n because_o have_v open_v the_o orifice_n e_o which_o be_v only_o causa_fw-la per_fw-la accidens_fw-la of_o this_o motion_n the_o water_n be_v press_v up_o from_o i_o to_o g._n we_o see_v second_o that_o fluid_a body_n can_v never_o cease_v from_o motion_n till_o there_o be_v a_o equal_a pressure_n among_o the_o part_n which_o be_v evident_a from_o the_o ascent_n of_o the_o water_n from_o i_o to_o g_o which_o can_v halt_v in_o any_o part_n between_o ay_o and_o g_o because_o of_o a_o unequal_a pressure_n till_o it_o once_o climb_v up_o to_o g._n we_o see_v three_o that_o fluid_a body_n do_v not_o sustain_v or_o counterpoise_v one_o another_o according_a to_o their_o thickness_n and_o breadth_n but_o only_o according_a to_o their_o altitude_n because_o there_o be_v not_o here_o any_o proportion_n between_o the_o slender_a pillar_n of_o water_n h_n k_o within_o the_o pipe_n and_o the_o outward_a water_n that_o sustain_v it_o i_o mean_v as_o to_o the_o thickness_n therefore_o it_o be_v no_o
matter_n whither_o the_o glass_n tub_n be_v wide_a or_o narrow_a that_o be_v use_v in_o counterpoise_v fluid_a body_n one_o with_o another_o and_o this_o be_v the_o true_a reason_n why_o it_o be_v no_o matter_n whither_o the_o tub_n of_o the_o baroscope_n be_v a_o wide_a one_o or_o a_o narrow_a one_o see_v the_o air_n do_v not_o counterpoise_v the_o mercury_n according_a to_o thickness_n that_o be_v to_o say_v neither_o the_o thickness_n of_o the_o ambient_fw-la air_n that_o sustain_v nor_o the_o thickness_n of_o the_o mercury_n that_o be_v sustain_v be_v to_o be_v consider_v but_o only_o their_o altitude_n it_o be_v true_a the_o element_n of_o air_n be_v fourteen_o thousand_o time_n high_o than_o the_o mercurial_a cylinder_n yet_o there_o be_v a_o certain_a and_o true_a proportion_n keep_v between_o their_o height_n so_o that_o if_o the_o element_n of_o air_n shall_v by_o divine_a providence_n become_v high_a or_o low_o the_o height_n of_o the_o mercury_n will_v alter_v according_o experiment_n ii_o figure_n 6._o take_v out_o of_o the_o water_n the_o wide_a pipe_n e_o g_o ay_o and_o stop_v the_o orifice_n i_o pour_v in_o water_n above_o at_o e_o till_o the_o tub_n be_v complete_o full_a have_v do_v this_o thrust_v down_o the_o stop_a orifice_n i_o to_o the_o bottom_n of_o the_o vessel_n and_o there_o open_a it_o then_o shall_v you_o see_v the_o water_n fall_v down_o from_o e_z to_z g_z and_o there_o halt_v the_o reason_n be_v take_v from_o unequal_a pressure_n for_o the_o tub_n be_v full_a of_o water_n from_o e_z to_o i_o that_o part_n of_o the_o imaginary_a surface_n upon_o which_o the_o pillar_n of_o water_n rest_v be_v more_o burden_v than_o any_o other_o part_n of_o it_o namely_o more_o than_o l_o or_o k_o therefore_o see_v one_o part_n be_v more_o burden_v than_o another_o the_o cylinder_n of_o water_n that_o cause_v the_o burden_n must_v so_o far_o fall_v down_o till_o all_o the_o part_n be_v alike_o press_v in_o which_o instant_a of_o time_n the_o motion_n cease_v this_o lead_v we_o to_o a_o clear_a discovery_n of_o the_o reason_n why_o in_o the_o baroscope_n the_o mercury_n fall_v from_o the_o top_n of_o the_o tub_n of_o any_o height_n always_o to_o the_o twenty_o and_o nine_o inch_n above_o the_o stagnant_a quicksilver_n for_o example_n fill_v the_o pipe_n n_o q_n which_o be_v sixty_o inch_n high_a with_o mercury_n and_o open_v the_o orifice_n qui_fw-fr the_o liquor_n shall_v fall_v out_o and_o fall_v down_o from_o n_o till_o it_o rest_v at_o r_o which_o be_v twenty_o nine_o inch_n above_o the_o open_a orifice_n q._n the_o reason_n be_v the_o same_o namely_o unequal_a pressure_n see_v one_o part_n of_o the_o imaginary_a surface_n of_o air_n x_o saint_n upon_o which_o the_o cylinder_n of_o mercury_n stand_v be_v more_o burden_a then_o the_o other_o next_o adjacent_a therefore_o so_o long_o and_o so_o far_o must_v the_o mercury_n subside_o and_o fall_v down_o till_o the_o part_n qui_fw-fr upon_o which_o the_o basis_n of_o the_o pillar_n rest_v be_v no_o more_o burden_a than_o the_o rest_n of_o the_o part_n in_o which_o instant_a of_o time_n the_o motion_n cease_v and_o there_o happen_v a_o equal_a balance_n between_o the_o silver_n within_o the_o tub_n and_o the_o air_n without_o if_o it_o be_v say_v i_o see_v a_o clear_a reason_n why_o the_o outward_a water_n m_o l_o aught_o to_o sustain_v the_o inward_a g_o i_o but_o can_v see_v why_o the_o outward_a air_n t_o z_o s_o and_o v_o r_o x_o aught_o to_o sustain_v the_o inward_a mercury_n r_o x_o neither_o do_v i_o see_v a_o reason_n why_o it_o shall_v halt_v at_o r_o as_o the_o water_n rest_v at_o g._n i_o answer_v though_o sense_n can_v perceive_v the_o one_o as_o evident_o as_o the_o other_o yet_o the_o one_o be_v as_o sure_a as_o the_o other_o for_o take_v up_o the_o reason_n why_o it_o halt_v at_o r_o 29_o inch_n above_o x_o you_o must_v remember_v from_o the_o 25_o theorem_fw-la that_o the_o pressure_n of_o the_o air_n upon_o body_n be_v equivalent_a to_o the_o weight_n of_o 34_o foot_n of_o water_n perpendicular_o or_o 29_o inch_n of_o quicksilver_n the_o pillar_n of_o air_n then_o t_o z_o s_o and_o v_z r_z x_o be_v as_o heavy_a each_o one_o of_o they_o as_o two_o pillar_n of_o mercury_n each_o one_o of_o they_o 29_o inch_n high_a it_o follow_v of_o necessity_n that_o the_o mercury_n within_o the_o tub_n must_v be_v as_o high_a as_o r._n it_o be_v no_o wonder_n to_o see_v the_o silver_n halt_v at_o r_o provide_v r_o x_o and_o z_o s_o be_v two_o bulk_n of_o mercury_n environ_v the_o pipe_n as_o the_o outward_a water_n environ_n the_o wide_a and_o narrow_a pipe_n neither_o aught_o any_o to_o wonder_v when_o the_o silver_n fall_v down_o and_o rest_v at_o r_o nothing_o environ_v the_o pipe_n but_o air_n see_v the_o pressure_n of_o the_o air_n be_v equivalent_a to_o the_o weight_n of_o 29_o inch_n of_o quicksilver_n this_o experiment_n be_v easy_o make_v take_v therefore_o a_o slender_a glass-pipe_n of_o any_o length_n beyond_o 30_o inch_n open_a at_o both_o end_n but_o the_o low_a and_o q_o must_v be_v draw_v so_o small_a by_o a_o flame_n of_o a_o lamp_n that_o the_o entry_n may_v be_v no_o wide_o than_o may_v admit_v the_o point_n of_o a_o small_a needle_n or_o the_o hair_n of_o one_o head_n then_o stop_v the_o say_a orifice_n pour_v in_o mercury_n above_o at_o the_o orifice_n n_o till_o the_o pipe_n be_v complete_o full_a next_o close_o the_o say_a orifice_n with_o wet_a paper_n and_o the_o pulp_n of_o your_o finger_n and_o open_v the_o low_a orifice_n you_o shall_v find_v which_o be_v very_o delightful_a to_o behold_v the_o mercury_n spring_v out_o like_v unto_o a_o small_a silver_n thread_n and_o fall_v down_o from_o the_o top_n n_o shall_v rest_v at_o r_o the_o motion_n cease_v at_o the_o narrow_a orifice_n q._n this_o show_v evident_o that_o there_o be_v not_o need_v always_o of_o stagnant_a mercury_n for_o try_v the_o torrieellian_a experiment_n but_o only_o when_o the_o mouth_n of_o the_o pipe_n below_o be_v wide_a for_o be_v narrow_a the_o silver_n run_v slow_o out_o and_o consequent_o subside_v slow_o above_o and_o come_v down_o slow_o to_o r_o there_o rest_v but_o when_o the_o mouth_n be_v wide_o below_o the_o silver_n fall_v down_o so_o quick_o that_o it_o go_v beyond_o r_o before_o it_o can_v recover_v itself_o which_o recovery_n will_v never_o be_v unless_o there_o be_v stagnant_a mercury_n to_o run_v up_o again_o from_o what_o be_v say_v we_o see_v first_o that_o when_o one_o part_n of_o a_o surface_n of_o water_n or_o air_n be_v more_o burden_a than_o another_o the_o burden_a part_n present_o yield_v till_o it_o be_v no_o more_o burden_a than_o the_o other_o this_o be_v clear_a from_o the_o fall_n down_o of_o the_o water_n from_o e_z to_z g_z which_o can_v be_v support_v by_o the_o part_n i_o because_o more_o burden_a than_o the_o rest_n we_o see_v second_o that_o the_o element_n of_o air_n rest_v upon_o the_o surface_v of_o all_o body_n with_o a_o considerable_a weight_n otherwise_o it_o can_v not_o sustain_v the_o water_n before_o it_o fall_v down_o from_o e_z to_z g_z for_o if_o it_o do_v not_o leave_v upon_o the_o surface_n m_o h_n with_o weight_n the_o water_n can_v never_o be_v suspend_v see_v the_o application_n of_o the_o finger_n to_o the_o orifice_n e_o be_v only_o the_o accidental_a cause_n of_o this_o sustentation_n we_o see_v three_o that_o according_a to_o the_o difference_n of_o natural_a weight_n between_o two_o fluid_n so_o be_v the_o proportion_n of_o altitude_n between_o two_o of_o their_o cylinder_n therefore_o air_n be_v reckon_v 14000_o time_n light_a than_o mercury_n it_o follow_v that_o the_o cylinder_n of_o mercury_n sustain_v by_o the_o air_n must_v be_v 14000_o time_n low_o and_o short_a than_o the_o cylinder_n of_o air_n that_o sustain_v it_o which_o appear_v from_o this_o experiment_n to_o be_v true_a see_v by_o the_o pressure_n of_o the_o air_n which_o be_v think_v to_o be_v about_o 7000_o fathom_n high_a 29_o inch_n of_o mercury_n be_v support_v between_o r_o and_o x._o in_o a_o word_n if_o air_n be_v natural_o 14000_o time_n light_a than_o mercury_n which_o be_v very_o probable_a then_o must_v the_o altitude_n of_o it_o common_o call_v the_o atmosphere_n be_v fourteen_o thousand_o time_n nine_o and_o twenty_o inch_n that_o be_v 406000_o or_o of_o foot_n 33833._o experiment_n iii_o figure_n 6._o while_o the_o outward_a and_o inward_a water_n be_v of_o the_o same_o altitude_n withdraw_v the_o inward_a air_n e_o g_o by_o suction_n or_o by_o any_o other_o device_n you_o think_v fit_a and_o you_o will_v find_v the_o water_n rise_v as_o high_a as_o e_z which_o i_o suppose_v to_o be_v 34_o foot_n above_o
m_o g_o h._n the_o same_o phenomenon_n happen_v in_o take_v the_o air_n out_o of_o the_o narrow_a pipe_n f_o k._n the_o reason_n be_v still_o unequal_a pressure_n for_o in_o remove_v the_o air_n that_o be_v within_o the_o pipe_n the_o part_n of_o the_o surface_n m_o and_o the_o part_n h_n remain_v burden_a while_o the_o part_n g_z be_v free_v of_o its_o burden_n therefore_o this_o part_n of_o the_o surface_n be_v liberate_v of_o its_o burden_n that_o come_v down_o through_o the_o pipe_n instant_o rise_v and_o climb_v up_o as_o far_o as_o the_o outward_a air_n rest_v upon_o m_n and_o h_n can_v raise_v it_o which_o be_v to_o e_o 34_o foot_n for_o the_o pressure_n of_o the_o air_n upon_o the_o surface_v of_o all_o water_n according_a to_o the_o 25_o theorem_fw-la be_v equivalent_a to_o the_o weight_n of_o 34_o foot_n of_o water_n must_v raise_v the_o say_a water_n in_o the_o pipe_n 34_o foot_n you_o do_v not_o wonder_v why_o it_o rise_v from_o i_o to_o g_o as_o in_o the_o first_o experiment_n no_o more_o ought_v you_o to_o wonder_n why_o it_o rise_v from_o g_z to_z e_z see_v the_o weight_n of_o the_o air_n do_v the_o same_o thing_n that_o 34_o foot_n of_o water_n rest_v upon_o the_o surface_n m_o h_n will_v do_v from_o this_o experiment_n we_o see_v first_o that_o the_o pressure_n of_o the_o air_n be_v the_o proper_a cause_n of_o the_o motion_n of_o water_n up_o through_o pump_n and_o siphons_n or_o any_o other_o instrument_n that_o be_v use_v in_o water-work_n of_o that_o kind_n for_o if_o the_o weight_n of_o the_o air_n rest_v upon_o the_o surface_n m_o h_n be_v the_o cause_n why_o the_o water_n climb_v up_o from_o g_z to_z e_z the_o same_o must_v be_v the_o cause_n why_o the_o stagnant_a water_n follow_v the_o sucker_n of_o the_o pump_n while_o it_o be_v pull_v up_o and_o the_o same_o be_v the_o cause_n why_o water_n ascend_v the_o leg_n of_o a_o siphon_n and_o be_v the_o cause_n why_o motion_n continue_v after_o suction_n be_v end_v we_o see_v second_o that_o every_o press_v fluid_a have_v a_o sphere_n of_o activity_n to_o which_o it_o be_v able_a to_o raise_v the_o fluid_a that_o be_v press_v this_o be_v evident_a in_o this_o experiment_n because_o the_o pressure_n of_o the_o air_n rest_v upon_o m_n h_n be_v able_a to_o raise_v the_o water_n the_o height_n of_o e_o in_o the_o wide_a pipe_n and_o the_o height_n of_o f_o in_o the_o narrow_a and_o no_o further_o even_o though_o the_o say_v pipe_n be_v far_o long_o and_o this_o altitude_n and_o high_a point_n be_v precise_o 34_o foot_n between_o air_n and_o water_n we_o see_v three_o that_o it_o be_v all_o one_o matter_n whether_o pump_n and_o siphons_n be_v wide_a or_o narrow_a whether_o the_o tub_n of_o the_o baroscope_n be_v wherein_o the_o mercury_n be_v suspend_v of_o a_o large_a diameter_n or_o of_o a_o lesser_a diameter_n this_o be_v also_o evident_a from_o the_o same_o experiment_n see_v there_o be_v no_o more_o difficulty_n in_o cause_v the_o water_n ascend_v the_o wide_a pipe_n than_o in_o cause_v it_o ascend_v the_o narrow_a one_o and_o the_o reason_n be_v because_o the_o press_a fluid_n repect_v not_o the_o press_v fluid_a according_a to_o its_o thickness_n and_o breadth_n but_o only_o according_a to_o its_o altitude_n therefore_o '_o be_v as_o easy_a for_o the_o air_n to_o press_v up_o water_n through_o a_o pump_n four_o foot_n in_o diameter_n as_o to_o press_v it_o up_o through_o a_o pump_n but_o one_o foot_n in_o diameter_n experiment_n iv._o figure_n 7._o this_o schematism_n represent_v a_o large_a vessel_n full_a of_o water_n who_o first_o and_o visible_a surface_n be_v d_o e_o h_o k._n the_o second_o that_o be_v imaginary_a be_v l_o i_o six_o foot_n below_o it_o the_o three_o of_o the_o same_o kind_n be_v m_n g_o six_o foot_n low_o the_o four_o be_v n_o f_o o_o six_o foot_n yet_o low_o the_o last_o and_o low_a be_v a_o b_o c._n there_o be_v here_o also_o four_o tub_n or_o rather_o one_o tub_n under_o four_o divers_a position_n with_o both_o end_n open_a after_o this_o tub_n d_o a_o be_v thrust_v below_o the_o water_n till_o it_o ascend_v as_o high_a as_o d_o in_o it_o lift_v it_o up_o between_o your_o finger_n till_o it_o have_v the_o position_n of_o the_o second_o pipe_n e_o f_o and_o then_o you_o shall_v see_v as_o the_o orifice_n of_o the_o pipe_n ascend_v the_o cylinder_n of_o water_n fall_v out_o by_o little_a and_o little_a until_o it_o be_v no_o long_o than_o e_o f._n again_o lift_v it_o further_o up_o till_o it_o have_v the_o position_n of_o the_o pipe_n h_o g_o then_o shall_v you_o find_v the_o cylinder_n of_o water_n become_v yet_o short_a last_o if_o it_o be_v situate_v as_o the_o pipe_n k_o i_o the_o internal_a water_n become_v no_o long_a than_o k_o i._o the_o reason_n of_o these_o phenomena_n be_v the_o same_o namely_o unequal_a pressure_n for_o the_o orifice_n a_o be_v lift_v up_o as_o high_a as_o f_o it_o come_v to_o the_o imaginary_a surface_n n_o o_o which_o be_v not_o under_o so_o much_o pressure_n as_o the_o other_o be_v therefore_o one_o part_n of_o it_o be_v more_o burden_v than_o another_o namely_o the_o part_n upon_o which_o the_o cylinder_n of_o water_n rest_v it_o present_o yield_v and_o suffer_v the_o cylinder_n to_o become_v short_a and_o light_a till_o it_o become_v no_o heavy_a than_o be_v proportionable_a to_o its_o own_o strength_n to_o make_v this_o reason_n more_o evident_a it_o be_v to_o be_v note_v that_o no_o surface_n of_o water_n be_v able_a to_o support_v a_o cylinder_n high_a than_o its_o own_o deepness_n that_o be_v to_o say_v if_o a_o surface_n be_v 40_o foot_n deep_a it_o be_v able_a to_o sustain_v a_o cylinder_n 40_o foot_n high_a and_o no_o more_o therefore_o the_o surface_n n_o o_o be_v but_o 18_o foot_n deep_a it_o can_v sustain_v a_o cylinder_n 24_o foot_n long_o for_o if_o that_o be_v than_o the_o potentia_n shall_v be_v inferior_a to_o the_o pondus_fw-la which_o be_v impossible_a in_o the_o hydrostaticks_n in_o effect_n it_o be_v no_o less_o absurdity_n then_o to_o say_v 18_o ounce_n be_v able_a to_o counterbalance_v 24._o for_o a_o second_o trial_n lift_v up_o the_o same_o pipe_n high_o till_o it_o acquire_v the_o position_n of_o the_o tub_n g_o h_n in_o this_o case_n the_o cylinder_n of_o water_n within_o it_o become_v yet_o short_a even_o no_o long_o than_z g_z h._n the_o reason_n be_v the_o same_o namely_o unequal_a pressure_n for_o when_o a_o cylinder_n of_o water_n 18_o foot_n high_a come_v to_o rest_v upon_o this_o surface_n that_o be_v but_o 12_o foot_n deep_a it_o make_v one_o part_n of_o it_o more_o burden_v than_o another_o therefore_o the_o part_n that_o be_v more_o press_v present_o yield_v and_o suffer_v the_o cylinder_n to_o fall_v down_o till_o the_o pondus_fw-la of_o it_o become_v equal_a to_o its_o own_o potentia_fw-la for_o the_o last_o trial_n lift_v up_o the_o tub_n till_o it_o acquire_v the_o position_n of_o the_o pipe_n k_o i_o in_o this_o case_n the_o water_n within_o it_o become_v no_o long_o than_o k_o i_o the_o surface_n l_o i_o that_o be_v but_o six_o foot_n deep_a not_o be_v able_a to_o sustain_v a_o cylinder_n 12_o foot_n high_a from_o this_o experiment_n we_o see_v first_o that_o in_o all_o fluid_a body_n there_o be_v a_o pressure_n which_o be_v more_o or_o less_o according_a to_o the_o deepness_n of_o that_o fluid_a this_o be_v evident_a from_o the_o four_o several_a surface_n there_o be_v more_o pressure_n and_o force_n in_o the_o low_a a_o b_o c_o then_z in_o the_o next_z n_o o_o and_o more_o in_o this_o then_o in_o the_o surface_n m_o g_o and_o more_o in_o this_o then_o in_o l_o 1_n we_o see_v second_o that_o in_o all_o fluid_n there_o be_v a_o pondus_fw-la and_o a_o potentia_n which_o two_o be_v always_o of_o equal_a force_n and_o strength_n the_o potentia_n be_v clear_a and_o evident_a in_o the_o surface_n by_o support_v the_o pillar_n which_o pillar_n be_v nothing_o else_o but_o the_o pondus_fw-la support_v and_o that_o they_o be_v always_o of_o equal_a strength_n be_v most_o evident_a also_o for_o when_o you_o endeavour_v to_o make_v the_o pondus_fw-la unequal_a to_o the_o potentia_n in_o make_v a_o surface_n 18_o foot_n deep_a to_o support_v a_o pillar_n 24_o foot_n high_a they_o of_o their_o own_o accord_n become_v equal_a the_o pillar_n become_v short_a and_o suitable_a to_o the_o strength_n of_o the_o surface_n that_o sustain_v it_o we_o see_v three_o that_o it_o be_v impossible_a for_o one_o part_n of_o the_o same_o horizontal_n surface_n to_o be_v more_o burden_v than_o another_o for_o when_o you_o endeavour_v to_o do_v it_o by_o set_v a_o long_a pillar_n upon_o it_o the_o part_n burden_v
a_o equipondium_fw-la there_o be_v no_o pressure_n in_o they_o at_o all_o for_o answer_v consider_v first_o that_o in_o all_o counterpoise_n there_o be_v necessary_o two_o thing_n the_o movens_fw-la and_o the_o motum_fw-la the_o thing_n that_o move_v and_o the_o thing_n that_o be_v move_v second_o you_o must_v consider_v the_o motum_fw-la to_o have_v a_o ponduâ—_fw-la or_o weight_n in_o it_o and_o the_o movens_fw-la to_o have_v a_o potentia_fw-la or_o power_n wherewith_o it_o move_v that_o weight_n three_o that_o as_o the_o thing_n that_o move_v have_v a_o power_n or_o force_v in_o itself_o whereby_o it_o move_v so_o the_o thing_n that_o be_v move_v have_v a_o power_n or_o force_v in_o itself_o whereby_o it_o resist_v the_o motion_n four_o that_o sometime_o the_o resistance_n of_o the_o thing_n move_v may_v exceed_v the_o power_n of_o the_o movent_fw-la as_o when_o a_o quarrier_n with_o a_o leaver_n endeavour_n to_o prize_v up_o a_o stone_n too_o heavy_a for_o he_o or_o the_o power_n of_o the_o movent_fw-la may_v exceed_v the_o resistance_n of_o the_o weight_n or_o both_o may_v be_v of_o equal_a power_n consider_v five_o that_o as_o the_o pondus_fw-la of_o the_o thing_n move_v begin_v to_o grow_v more_o and_o more_o so_o the_o power_n of_o the_o movent_fw-la decrease_v proportionable_o not_o absolute_o as_o heat_n be_v extinguish_v in_o water_n by_o the_o cold_a air_n when_o it_o be_v remove_v from_o the_o fire_n but_o respective_o for_o example_n when_o a_o man_n hold_v a_o balance_n in_o his_o hand_n with_o six_o pound_n in_o the_o one_o scale_n and_o but_o one_o pound_n in_o the_o other_o if_o you_o add_v another_o pound_n the_o weight_n grow_v more_o and_o the_o power_n and_o force_v of_o the_o opposite_a scale_n grow_v less_o proportionable_o not_o absolute_o for_o it_o still_o remain_v six_o pound_n but_o respective_o that_o be_v to_o say_v six_o pound_n be_v less_o in_o respect_n of_o four_o than_o in_o respect_n of_o five_o or_o the_o resistance_n of_o six_o pound_n be_v less_o two_o counterpoise_v it_o than_o be_v counterpoise_v by_o one_o when_o a_o three_o be_v add_v the_o weight_n grow_v yet_o more_o and_o consequent_o the_o resistance_n of_o the_o opposite_a scale_n become_v yet_o less_o till_o by_o add_v the_o six_o and_o last_o pound_n you_o augment_v and_o increase_v the_o pondus_fw-la to_o that_o same_o degree_n of_o strength_n that_o the_o resistance_n of_o the_o opposite_a scale_n be_v of_o from_o these_o consideration_n i_o say_v the_o surface_n of_o air_n f_o g_o have_v not_o lose_v all_o its_o pressure_n absolute_o by_o raise_v the_o mercury_n from_o g_o to_o h_n but_o only_o respective_o because_o it_o still_o retain_v 29_o degree_n of_o force_n in_o itself_o i_o say_v respective_o because_o when_o the_o mercury_n be_v raise_v ten_o inch_n the_o power_n of_o the_o air_n which_o be_v of_o 29_o degree_n of_o force_n be_v less_o in_o respect_n of_o ten_o ounce_n then_o in_o respect_n of_o five_o or_o the_o power_n of_o 29_o degree_n of_o force_n be_v less_o be_v counterpoise_v by_o ten_o ounce_n than_o be_v counterpoise_v only_o by_o five_o and_o when_o it_o be_v raise_v 20_o it_o be_v yet_o less_o in_o this_o respect_n than_o in_o respect_n of_o ten_o and_o when_o it_o have_v raise_v the_o mercury_n to_o the_o great_a altitude_n h_n it_o may_v be_v say_v to_o have_v lose_v all_o its_o pressure_n see_v it_o be_v not_o able_a by_o virtue_n of_o a_o counterpoise_n to_o do_v any_o more_o even_o as_o six_o pound_n in_o this_o scale_n may_v be_v say_v to_o have_v lose_v all_o its_o resistance_n and_o weight_n by_o put_v in_o the_o other_o scale_n first_o one_o pound_n next_o two_o pound_n and_o then_o three_o pound_n till_o the_o last_o be_v put_v in_o at_o which_o time_n it_o have_v no_o more_o resistance_n though_o this_o be_v yet_o it_o still_o remain_v six_o pound_n even_o so_o the_o air_n f_o g_z still_o remain_v of_o the_o same_o force_n and_o power_n while_o it_o suspend_v the_o mercury_n g_o h_n that_o it_o be_v of_o before_o likewise_o the_o pillar_n a_o b_o can_v be_v say_v to_o have_v lose_v all_o its_o pressure_n absolute_o by_o fall_v down_o from_o a_o to_o c_o but_o only_o respective_o because_o the_o say_a pillar_n c_o b_o be_v still_o 29_o ounce_n weight_n i_o say_v respective_o because_o in_o fall_v down_o ten_o inch_n or_o in_o lose_v ten_o ounce_n the_o weight_n that_o be_v now_o but_o 48_o be_v less_o in_o respect_n of_o 29_o than_o while_o it_o be_v 58._o it_o be_v yet_o less_o when_o it_o have_v fall_v down_o other_o ten_o because_o be_v now_o but_o 38_o it_o must_v be_v yet_o less_o in_o respect_n of_o 29_o than_o 48._o and_o when_o it_o have_v fall_v down_o to_o c_o 29_o it_o may_v be_v say_v to_o have_v lose_v all_o its_o weight_n because_o it_o can_v do_v no_o more_o have_v respective_o lose_v all_o its_o pressure_n from_o what_o be_v say_v we_o see_v a_o clear_a ground_n to_o distinguish_v in_o fluids_n a_o pondus_fw-la and_o a_o potentia_fw-la second_o that_o the_o potentia_fw-la may_v sometime_o exceed_v the_o pondus_fw-la and_o contrariwise_o the_o pondus_fw-la may_v exceed_v the_o potentia_fw-la three_o that_o inequality_n of_o weight_n between_o the_o pondus_fw-la and_o the_o potentia_fw-la be_v the_o cause_n of_o motion_n of_o fluids_n four_o that_o the_o motion_n never_o cease_v till_o the_o pondus_fw-la and_o the_o potentia_fw-la become_v of_o equal_a force_n this_o conclusion_n be_v not_o so_o universal_a as_o the_o rest_n because_o the_o motion_n may_v sometime_o cease_v before_o this_o be_v for_o example_n when_o the_o air_n be_v pâ—â—â—â—ing_v mercury_n up_o through_o a_o tub_n short_a than_o 29_o inch_n the_o motion_n end_v before_o there_o be_v a_o perfect_a counterpoise_n for_o 20_o or_o 15_o inch_n of_o mercury_n can_v never_o counterbalance_v the_o force_n and_o power_n of_o the_o air._n in_o such_o a_o case_n then_o there_o be_v a_o unequal_a pressure_n the_o air_n press_v the_o mercury_n more_o than_o the_o mercury_n do_v the_o air._n experiment_n viii_o figure_n 12._o take_v the_o vessel_n a_o b_o c_o d_o and_o fill_v it_o with_o water_n as_o high_a as_o h_n i._o take_v next_o a_o cylinder_n of_o stone_n f_o g_o and_o drown_v the_o half_a of_o it_o among_o the_o water_n suspend_v it_o with_o a_o chord_n to_o the_o beam_n n_o o_o with_o a_o ring_n at_o e._n now_o in_o this_o case_n though_o the_o stone_n do_v not_o touch_v the_o bottom_n of_o the_o vessel_n yet_o the_o water_n become_v heavy_a than_o before_o for_o discover_v the_o true_a reason_n of_o this_o i_o suppose_v first_o the_o weight_n of_o the_o water_n before_o the_o stone_n be_v drowâ—ed_v to_o be_v 40_o pound_n i_o suppose_v next_o that_o after_o the_o stone_n be_v drown_v the_o say_a water_n to_o weigh_v 50_o pound_n and_o last_o the_o stone_n to_o weigh_v 60_o pound_n i_o say_v then_o the_o water_n must_v be_v 10_o pound_n heavy_a than_o before_o because_o it_o support_v 10_o pound_n of_o the_o stone_n it_o be_v certain_a the_o beam_n be_v less_o burden_v by_o 10_o pound_n than_o before_o if_o this_o be_v then_o sure_o the_o water_n must_v sustain_v it_o it_o be_v great_a temerity_n and_o rashness_n to_o aver_v that_o neither_o the_o beam_n nor_o the_o water_n sustain_v it_o which_o be_v real_o to_o say_v it_o be_v sustain_v by_o nothing_o it_o can_v be_v say_v without_o ignorance_n that_o 10_o pound_n of_o the_o stone_n be_v evanished_a and_o turn_v into_o a_o chimaera_n if_o it_o be_v say_v how_o can_v such_o a_o fluid_a body_n as_o water_n be_v able_a to_o support_v any_o part_n of_o the_o weight_n of_o the_o stone_n that_o be_v such_o a_o heavy_a body_n i_o answer_v there_o be_v here_o no_o difficulty_n for_o if_o the_o imaginary_a surface_n k_o l_o upon_o which_o the_o 10_o pound_n of_o the_o stone_n rest_v be_v able_a to_o sustain_v 10_o pound_n of_o water_n i_o suppose_v the_o stone_n take_v away_o and_o the_o place_n of_o it_o fill_v with_o water_n then_o sure_o it_o must_v also_o be_v able_a to_o sustain_v 10_o pound_n of_o the_o heavy_a metal_n see_v ten_o pound_n of_o lead_n or_o gold_n or_o stone_n be_v no_o heavy_a than_o 10_o pound_n of_o water_n if_o some_o say_v this_o rather_o seem_v to_o be_v the_o reason_n why_o the_o water_n become_v heavy_a after_o the_o stone_n be_v drown_v because_o it_o possess_v the_o place_n of_o as_o much_o water_n as_o will_v weigh_v 10_o pound_n not_o as_o be_v say_v because_o the_o water_n support_v 10_o pound_n of_o it_o therefore_o it_o may_v be_v judge_v and_o thought_n that_o if_o the_o space_n that_o the_o stone_n occupy_v be_v fill_v with_o air_n or_o some_o light_a body_n without_o sensible_a weight_n the_o water_n will_v become_v heavy_a than_o before_o
for_o example_n if_o instead_o of_o the_o stone_n there_o be_v place_v a_o bladder_n full_a of_o wind_n within_o the_o water_n and_o tie_v to_o the_o bottom_n with_o a_o string_n that_o the_o surface_n may_v swell_v from_o h_n i_o to_o a_o b_o the_o water_n of_o the_o vessel_n will_v become_v as_o much_o heavy_a than_o before_o as_o be_v the_o bulk_n of_o water_n equal_a to_o the_o quantity_n of_o the_o bladder_n therefore_o the_o water_n become_v heavy_a not_o because_o it_o support_v any_o part_n of_o the_o stone_n but_o because_o the_o stone_n occupy_v as_o much_o room_n and_o space_n as_o will_v contain_v 10_o pound_n of_o water_n for_o by_o this_o mean_v the_o drown_a stone_n raise_v the_o water_n from_o h_n i_o to_o a_o b_o and_o so_o the_o cylinder_v a_o c_o and_o b_o d_o be_v high_a press_v with_o great_a weight_n upon_o the_o bottom_n c_o d_o even_o with_o as_o much_o more_o weight_n as_o if_o the_o space_n that_o the_o stone_n occupy_v be_v fill_v with_o water_n for_o answer_v to_o this_o we_o shall_v make_v this_o follow_a experiment_n take_v the_o vessel_n m_o p_o v_o x_o and_o fill_v it_o with_o water_n to_o q_o r._n next_o take_v a_o large_a bladder_n w_n y_fw-fr full_a of_o wind_n and_o tie_v the_o neck_n with_o a_o thread_n thrust_v it_o below_o the_o water_n and_o fasten_v it_o to_o the_o bottom_n with_o a_o string_n to_o the_o ring_n z._n this_o do_v the_o water_n swell_v and_o rise_v from_o q_o r_o to_z m_o p._n now_o if_o it_o be_v true_a that_o the_o water_n in_o the_o vessel_n become_v heavy_a not_o because_o it_o support_v 10_o pound_n weight_n of_o the_o stone_n but_o because_o the_o stone_n occupy_v the_o room_n of_o 10_o pound_n of_o water_n than_o it_o ought_v to_o follow_v that_o after_o the_o bladder_n be_v tie_v below_o the_o water_n the_o say_a water_n shall_v become_v heavy_a than_o before_o even_o by_o three_o pound_n for_o i_o suppose_v a_o bulk_n of_o water_n equal_a to_o the_o bulk_n of_o the_o bladder_n to_o weigh_v as_o much_o and_o the_o reason_n be_v because_o as_o you_o say_v the_o quantity_n of_o the_o bladder_n w_n y_fw-fr make_v the_o water_n swell_v from_o q_o r_o to_o m_o p_o by_o which_o mean_v the_o pillar_n of_o water_n m_o v_n and_o p_o x_o become_v high_a and_o so_o press_v with_o great_a weight_n upon_o the_o bottom_n five_o x._o for_o clear_v this_o difficulty_n i_o say_v when_o a_o bladder_n be_v thus_o below_o the_o water_n tie_v to_o the_o bottom_n the_o water_n become_v not_o three_o pound_n heavy_a for_o when_o you_o place_v the_o vessel_n with_o the_o water_n and_o bladder_n in_o the_o scale_n of_o a_o balance_n the_o say_a water_n weigh_v no_o more_o than_o if_o it_o want_v the_o bladder_n therefore_o the_o water_n become_v not_o heavy_a because_o the_o stone_n possess_v the_o room_n of_o 10_o pound_n of_o water_n but_o because_o the_o water_n sustain_v 10_o pound_n of_o the_o stone_n now_o the_o reason_n why_o the_o bladder_n make_v not_o the_o water_n heavy_a though_o it_o raise_v it_o from_o q_o r_o to_o m_o p_o be_v this_o because_o though_o very_o there_o be_v a_o great_a pressure_n than_o before_o even_o upon_o the_o bottom_n of_o the_o vessel_n yet_o because_o more_o part_n be_v not_o add_v the_o natural_a weight_n can_v be_v augment_v which_o essential_o depend_v upon_o the_o addition_n of_o these_o part_n if_o it_o be_v reply_v the_o experiment_n of_o the_o bladder_n be_v to_o no_o purpose_n because_o it_o be_v knit_v to_o the_o bottom_n pull_v up_o the_o vessel_n with_o as_o great_a force_n as_o the_o growth_n of_o the_o pressure_n bear_v it_o down_o and_o so_o the_o bladder_n can_v make_v the_o water_n heavy_a but_o if_o so_o be_v it_o be_v possible_a that_o the_o bladder_n can_v remain_v within_o the_o middle_n of_o the_o water_n without_o be_v knit_v to_o the_o bottom_n and_o consequent_o without_o pull_v up_o the_o vessel_n then_o sure_o the_o pillar_n of_o water_n m_o v_n and_o p_o x_o be_v high_a will_v press_v with_o great_a weight_n upon_o the_o bottom_n and_o so_o make_v the_o vessel_n and_o the_o water_n weigh_v more_o in_o the_o balance_n for_o it_o be_v to_o be_v suppose_v that_o during_o all_o this_o time_n this_o vessel_n with_o the_o water_n be_v in_o one_o scale_n and_o a_o great_a weight_n of_o stone_n or_o lead_v in_o the_o other_o so_o will_v the_o water_n a_o b_o c_o d_o become_v heavy_a likewise_o provide_v the_o space_n and_o room_n that_o the_o stone_n fill_v among_o the_o water_n remain_v entire_a after_o the_o stone_n be_v take_v away_o because_o that_o room_n and_o empty_a space_n remain_v will_v keep_v the_o surface_n as_o high_a as_o a_o b_o by_o which_o mean_n the_o pillar_n a_o c_o and_o b_o d_o be_v high_a will_v press_v with_o great_a weight_n upon_o the_o bottom_n and_o cause_v the_o water_n weigh_v more_o in_o the_o balance_n i_o answer_v though_o by_o some_o extraordinary_a power_n the_o bladder_n can_v remain_v below_o the_o water_n of_o its_o own_o accord_n as_o it_o be_v and_o though_o the_o space_n and_o room_n by_o that_o same_o power_n which_o be_v leave_v by_o the_o stone_n be_v keep_v empty_a yet_o shall_v they_o never_o be_v able_a to_o make_v the_o water_n heavy_a as_o to_o the_o reason_n that_o be_v bring_v i_o answer_v the_o rising_z and_o swell_v of_o the_o pillar_n will_v make_v indeed_o a_o great_a pressure_n upon_o the_o bottom_n of_o the_o vessel_n but_o because_o this_o pressure_n may_v be_v produce_v and_o generate_v without_o the_o addition_n of_o new_a part_n therefore_o it_o can_v never_o make_v the_o water_n heavy_a for_o if_o this_o be_v true_a than_o it_o will_v follow_v that_o the_o more_o a_o body_n be_v compress_v it_o shall_v be_v the_o heavy_a which_o be_v contrary_a to_o sense_n and_o experience_n this_o pressure_n be_v like_a unto_o bensil_n that_o can_v weigh_v in_o a_o balance_n though_o the_o thing_n bend_v do_v weigh_v as_o a_o bow_n that_o weigh_v so_o many_o pound_n but_o the_o bensil_n of_o it_o weigh_v nothing_o next_o will_v any_o man_n think_v that_o a_o cub_n of_o water_n six_o foot_n high_a and_o six_o foot_n thick_a will_v weigh_v more_o in_o a_o balance_n than_o it_o do_v after_o it_o be_v turn_v into_o a_o long_a square_a pillar_n 216_o inch_n high_a i_o grant_v there_o be_v near_o 60_o time_n a_o great_a pressure_n upon_o the_o bottom_n of_o the_o vessel_n yet_o because_o this_o pressure_n be_v generate_v without_o the_o addition_n of_o new_a part_n it_o can_v make_v the_o water_n heavy_a moreover_o it_o be_v mechanical_o possible_a to_o keep_v the_o water_n s_o t_o five_o x_o under_o that_o same_o degree_n of_o pressure_n it_o have_v though_o the_o rest_n above_o be_v take_v away_o if_o this_o be_v than_o it_o ought_v to_o be_v as_o heavy_a as_o the_o whole_a see_v it_o still_o press_v the_o bottom_n with_o that_o same_o degree_n of_o pressure_n it_o have_v from_o the_o whole_a but_o what_o be_v more_o absurd_a than_o to_o say_v one_o part_n of_o water_n be_v as_o heavy_a as_o the_o whole_a e._n g._n a_o pint_n as_o heavy_a as_o a_o gallon_n if_o it_o be_v say_v the_o pressure_n and_o the_o weight_n be_v but_o one_o thing_n at_o least_o effective_o which_o be_v sufficient_a to_o the_o purpose_n in_o hand_n as_o be_v clear_a from_o the_o theorem_fw-la 23._o i_o answer_v they_o be_v but_o one_o thing_n indeed_o in_o order_n to_o the_o balance_n of_o nature_n but_o they_o be_v neither_o formal_o nor_o effective_o the_o same_o thing_n in_o order_n to_o the_o libra_n or_o artificial_a balance_n whereof_o we_o be_v now_o treat_v i_o shall_v conclude_v with_o this_o while_o the_o vessel_n with_o the_o water_n be_v thus_o place_v in_o the_o scale_n of_o the_o balance_n and_o in_o equilibrio_n with_o the_o opposite_a scale_n cut_v the_o string_n that_o tie_v the_o bladder_n to_o the_o bottom_n and_o when_o it_o come_v above_o you_o will_v find_v the_o water_n just_a of_o the_o same_o weight_n it_o be_v of_o for_o though_o the_o surface_n m_o p_o by_o take_v out_o the_o bladder_n settle_v down_o to_o q_o r_o yet_o there_o be_v no_o alteration_n make_v in_o the_o weight_n from_o this_o i_o gather_v that_o if_o the_o swell_a of_o the_o water_n shall_v make_v it_o heavy_a than_o the_o subside_v and_o fall_v down_o of_o it_o aught_o to_o make_v it_o light_a from_o these_o experiment_n we_o gather_v first_o that_o in_o water_n there_o be_v a_o pressure_n because_o it_o sustain_v 10_o pound_n of_o the_o stone_n f_o g._n second_o that_o whatever_o heavy_a body_n be_v weigh_v in_o water_n it_o lose_v just_a as_o much_o of_o its_o weight_n as_o the_o bulk_n of_o water_n weigh_v it_o put_v out_o of_o its_o
we_o see_v second_o that_o this_o pressure_n be_v according_a to_o arithmetical_a progression_n as_o 1_o 2_o 3_o 4_o 5._o because_o in_o go_v down_o the_o first_o 14_o inch_n the_o mercury_n rise_v one_o inch_n in_o go_v down_o the_o second_o 14_o inch_n it_o rise_v two_o in_o go_v down_o the_o three_o 14_o inch_n it_o rise_v three_o and_o so_o forward_o we_o see_v three_o though_o a_o water_n be_v 100_o fathom_n deep_a yea_o 1000_o yet_o the_o pressure_n of_o the_o air_n above_o be_v find_v at_o the_o bottom_n for_o suppose_v this_o experiment_n be_v 100_o fathom_n deep_a yet_o will_v the_o air_n from_o above_o have_v influence_n upon_o it_o to_o sustain_v so_o many_o inch_n of_o the_o mercurial_a cylinder_n a_o diver_n then_o 10_o or_o 15_o fathom_n under_o the_o water_n must_v be_v burden_v with_o the_o weight_n of_o the_o air_n as_o well_o as_o with_o the_o weight_n of_o the_o water_n so_o must_v the_o fish_n though_o never_o so_o deep_a we_o see_v four_a that_o the_o part_n of_o a_o fluid_a can_v cease_v from_o motion_n so_o long_o as_o there_o be_v a_o inequality_n of_o weight_n between_o the_o pondus_fw-la and_o the_o potentia_fw-la this_o be_v clear_a from_o the_o fall_n down_o of_o the_o mercury_n from_o h_n to_o g._n and_o assoon_o as_o equality_n of_o weight_n happen_v the_o motion_n end_v this_o be_v clear_a from_o the_o mercurie_n halt_v at_o g._n five_o that_o in_o mercury_n as_o well_o as_o in_o water_n or_o air_n surface_n may_v be_v distinguish_v and_o that_o these_o surface_n be_v endow_v with_o a_o potentia_n or_o power_n beget_v in_o they_o by_o superior_a and_o extrinsic_a weight_n this_o be_v clear_a from_o the_o imaginary_a surface_n d_o c_o e_o that_o be_v make_v powerful_a to_o support_v 58_o inch_n of_o mercury_n in_o the_o tub_n and_o that_o by_o the_o weight_n and_o pressure_n of_o the_o air_n rest_v upon_o a_o b._n sixthly_a that_o as_o two_o fluid_n differ_v in_o specific_a and_o natural_a weight_n so_o they_o differ_v in_o altitude_n when_o they_o counterpoise_v one_o another_o this_o be_v clear_a from_o the_o disproportion_n that_o be_v between_o the_o altitude_n of_o the_o mercury_n suspend_v and_o the_o height_n of_o the_o water_n and_o air_n suspend_v g_o f_o than_o be_v 29_o inch_n and_o the_o deepness_n of_o the_o water_n from_o k_o to_o n_o be_v 34_o foot_n because_o water_n be_v natural_o 14_o time_n light_a than_o mercury_n f_o b_o be_v likewise_o 29_o inch_n and_o the_o height_n of_o the_o air_n that_o rest_v upon_o the_o surface_n of_o water_n be_v six_o or_o seven_o thousand_o fathom_n high_a because_o air_n be_v 14000_o time_n natural_o light_a than_o mercury_n seven_o that_o fluid_a body_n counterpoise_v one_o another_o not_o according_a to_o their_o thickness_n and_o breadth_n but_o only_o according_a to_o their_o altitude_n this_o be_v evident_a for_o though_o this_o tub_n be_v never_o so_o wide_a or_o narrow_a yet_o the_o altitude_n of_o the_o mercury_n be_v unchangeable_a hence_o it_o be_v that_o the_o thick_a pillar_n of_o water_n in_o the_o ocean_n be_v not_o able_a to_o suspend_v more_o mercury_n than_o the_o slender_a i_o mean_v as_o to_o altitude_n and_o hence_o it_o be_v that_o the_o small_a cylinder_n of_o mercury_n no_o thick_a than_o a_o silk_n thread_n be_v able_a to_o counterpoise_v a_o pillar_n of_o water_n of_o any_o thickness_n whatsoever_o we_o may_v conclude_v last_o that_o when_o a_o diver_n be_v 20_o fathom_n under_o the_o water_n he_o be_v under_o as_o much_o burden_n as_o if_o he_o be_v under_o 14_o or_o 15_o foot_n of_o quicksilver_n suppose_v a_o man_n lie_v on_o his_o belly_n within_o a_o large_a vessel_n and_o 14_o or_o 15_o foot_n of_o mercury_n pour_v in_o upon_o he_o sure_o it_o may_v be_v think_v that_o such_o a_o burden_n be_v insupportable_a but_o put_v the_o case_n the_o diver_n be_v down_o 40_o fathom_n then_o must_v the_o burden_n be_v double_v this_o follow_v because_o if_o a_o pillar_n of_o water_n 34_o foot_n high_a with_o the_o weight_n of_o the_o air_n superad_v be_v as_o heavy_a as_o 58_o inch_n of_o mercury_n then_o sure_o a_o pillar_n 20_o fathom_n high_a or_o 100_o foot_n must_v be_v as_o heavy_a as_o 170_o inch_n which_o be_v more_o than_o 14_o foot_n experiment_n x._o figure_n 14._o against_o the_o former_a experiment_n there_o occur_v some_o difficulty_n which_o must_v be_v answer_v as_o first_o if_o it_o be_v the_o pressure_n of_o the_o water_n that_o sustain_v the_o mercury_n in_o the_o tub_n see_v the_o 13._o figure_n than_o the_o weight_n of_o the_o say_v mercury_n ought_v not_o to_o be_v find_v while_o the_o tub_n be_v poise_v between_o a_o man_n finger_n but_o so_o it_o be_v that_o when_o a_o diver_n grip_n the_o tub_n about_o the_o middle_n and_o raise_v it_o a_o little_a from_o the_o bottom_n of_o the_o vessel_n he_o not_o only_o find_v the_o weight_n of_o the_o tub_n itself_o but_o the_o weight_n also_o of_o the_o 58_o inch_n of_o mercury_n that_o be_v within_o it_o but_o this_o ought_v not_o to_o be_v if_o the_o say_v mercury_n be_v sustain_v by_o the_o outward_a water_n in_o a_o word_n it_o ought_v not_o to_o be_v find_v because_o the_o say_a pillar_n of_o mercury_n as_o real_o stand_v and_o rest_v upon_o the_o imaginary_a surface_n d_o c_o e_o as_o a_o cylinder_n of_o brass_n or_o stone_n rest_v upon_o a_o plain_a table_n of_o timber_n or_o stone_n if_o then_o it_o be_v support_v by_o the_o say_a surface_n why_o ought_v i_o to_o find_v the_o weight_n of_o it_o when_o i_o lift_v up_o the_o pipe_n a_o little_a from_o the_o bottom_n of_o the_o vessel_n for_o clear_v this_o difficulty_n consider_v that_o when_o the_o mercury_n fall_v down_o from_o h_n to_o g_z it_o leave_v a_o soâ—â—_n of_o vacuity_n behind_o it_o wherein_o there_o be_v neither_o air_n nor_o water_n consider_v second_o that_o for_o this_o cause_n there_o happen_v a_o unequal_a pressure_n the_o top_n of_o the_o tub_n without_o be_v burden_v with_o the_o pillar_n of_o water_n i_o h_n which_o actual_o press_v it_o down_o and_o nothing_o within_o between_o g_z and_o h_n that_o may_v counterbalance_v that_o downward_o pressure_n these_o thing_n be_v consider_v i_o answer_v to_o the_o difficulty_n and_o say_v it_o be_v not_o the_o weight_n of_o the_o suspend_v mercury_n that_o i_o find_v but_o the_o weight_n of_o the_o pillar_n of_o water_n i_o h_n that_o rest_v upon_o the_o top_n of_o the_o tub._n if_o it_o be_v say_v the_o pressure_n of_o a_o fluid_a be_v insensible_a and_o can_v be_v find_v i_o answer_v it_o be_v true_a when_o the_o pressure_n be_v equal_a and_o uniform_a but_o not_o when_o the_o pressure_n be_v unequal_a as_o here_o if_o it_o be_v ask_v how_o come_v it_o to_o pass_v that_o the_o pillar_n of_o water_n i_o h_n be_v exact_o the_o weight_n of_o the_o 58_o inch_n of_o mercury_n i_o answer_v beside_o the_o say_a pillar_n there_o be_v another_o of_o air_n that_o rest_v upon_o the_o top_n of_o it_o which_o two_o together_o be_v exact_o the_o weight_n of_o the_o suspend_v mercury_n i_o h_n be_v of_o the_o same_o weight_n with_o the_o mercury_n g_o f_o and_o the_o foresay_a pillar_n of_o air_n be_v of_o the_o same_o weight_n with_o the_o mercury_n f_o b._n to_o make_v it_o more_o evident_a remember_v that_o one_o inch_n of_o mercury_n be_v exact_o the_o weight_n of_o 14_o inch_n of_o water_n and_o that_o one_o inch_n of_o mercury_n be_v of_o the_o same_o weight_n with_o 14000_o inch_n of_o air._n if_o this_o be_v then_o must_v the_o pillar_n of_o water_n i_o h_n that_o be_v 34_o foot_n high_a and_o of_o the_o same_o thickness_n with_o the_o 29_o inch_n of_o mercury_n g_o f_o be_v of_o the_o same_o weight_n with_o it_o see_v 29_o inch_n be_v to_o be_v find_v 14_o time_n in_o 34_o foot_n for_o the_o same_o reason_n be_v the_o pillar_n of_o air_n namely_o saint_n i_o that_o rest_v upon_o the_o top_n of_o the_o pillar_n of_o water_n i_o h_n of_o the_o same_o weight_n with_o the_o 29_o inch_n of_o mercury_n f_o b._n for_o after_o a_o just_a reckon_n you_o will_v find_v that_o 29_o inch_n will_v be_v find_v 14000_o time_n in_o the_o pillar_n of_o air_n that_o rest_v upon_o the_o pillar_n i_o h._n or_o in_o a_o word_n the_o height_n of_o the_o air_n be_v 14000_o time_n 29_o inch_n but_o here_o occurr_v another_o difficulty_n let_v we_o suppose_v there_o be_v a_o tub_n six_o foot_n high_a one_o inch_n wide_a have_v the_o side_n 3_o inch_n thick_a imagine_v likewise_o the_o say_a tub_n to_o be_v under_o the_o water_n 34_o foot_n with_o 58_o inch_n of_o mercury_n in_o it_o as_o be_v represent_v in_o this_o 14_o figure_n this_o be_v suppose_v the_o pillar_n of_o water_n e_o a_o f_o
c_o g_o d_o must_v be_v far_o heavy_a than_o the_o 58_o inch_n of_o mercury_n h_o b._n the_o reason_n be_v clear_a because_o the_o say_a pillar_n be_v not_o only_o 34_o foot_n high_a but_o as_o thick_a as_o the_o diameter_n of_o the_o tub_n who_o side_n be_v three_o inch_n thick_a i_o answer_v the_o whole_a weight_n of_o that_o water_n e_o a_o f_o c_o g_o d_o be_v not_o find_v while_o a_o man_n poise_n the_o tub_n between_o his_o finger_n but_o only_o the_o weight_n of_o the_o part_n g_o a_o which_o be_v exact_o the_o weight_n of_o the_o mercury_n h_o b._n but_o here_o occurr_v the_o great_a question_n namely_o why_o i_o find_v only_o the_o weight_n of_o the_o water_n g_o a_o and_o nothing_o of_o the_o weight_n of_o the_o water_n c_o e_o or_o d_o f_o i_o answer_v i_o can_v find_v the_o pressure_n of_o the_o water_n c_o e_o because_o it_o be_v counterpoise_v with_o the_o upward_a pressure_n of_o the_o water_n i_o k._n and_o for_o the_o same_o reason_n i_o can_v find_v the_o weight_n of_o the_o water_n d_o f_o because_o it_o be_v counterpoise_v by_o l_o m_n but_o because_o there_o be_v nothing_o between_o h_n and_o a_o to_o counterpoise_v the_o downward_o pressure_n of_o the_o water_n g_o a_o therefore_o i_o find_v that_o if_o it_o be_v object_v that_o the_o water_n i_o k_o can_v counterpoise_v the_o water_n c_o e_o because_o the_o one_o be_v far_o down_o than_o the_o other_o and_o consequent_o under_o a_o great_a pressure_n than_o the_o other_o i_o answer_v though_o i_o k_o be_v strong_a than_o c_o e_o yet_o a_o compensation_n be_v make_v by_o the_o weight_n of_o the_o tub._n for_o understand_v this_o let_v we_o suppose_v the_o water_n c_o e_o and_o d_o f_o to_o press_v downward_o with_o the_o weight_n of_o six_o pound_n and_o the_o water_n k_o i_o and_o l_o m_o to_o press_n upward_o with_o the_o weight_n of_o ten_o pound_n there_o be_v four_o pound_n in_o difference_n suppose_v next_o the_o tub_n to_o weigh_v in_o the_o air_n ten_o pound_n and_o in_o the_o water_n only_o six_o pound_n if_o this_o be_v then_o according_a to_o the_o eight_o experiment_n and_o eighteen_o theorem_n four_o pound_n weight_n of_o the_o tub_n must_v rest_v upon_o the_o surface_n i_o l._n and_o if_o this_o be_v then_o must_v the_o water_n i_o k_o and_o l_o m_o be_v four_o pound_n weak_a with_o the_o tub_n than_o without_o it_o and_o must_v only_o have_v six_o pound_n of_o upward_a pressure_n from_o these_o experiment_n we_o conclude_v first_o the_o truth_n of_o the_o ten_o theorem_n namely_o that_o the_o weight_n of_o a_o fluid_a be_v only_o find_v by_o sense_n when_o the_o pressure_n be_v not_o uniform_a and_o equal_a this_o be_v evident_a from_o our_o find_v the_o weight_n of_o the_o pillar_n of_o water_n i_o h_n as_o in_o the_o 13_o figure_n we_o conclude_v second_o that_o in_o all_o fluid_n there_o be_v a_o pondus_fw-la and_o a_o potentia_fw-la as_o be_v clear_a from_o the_o pondus_fw-la of_o water_n e_o a_o f_o c_o g_o d_o that_o press_v down_o the_o tub_n and_o the_o potentia_fw-la of_o the_o water_n i_o k_n l_o m_o that_o press_v up_o the_o same_o tub._n we_o see_v three_o that_o there_o can_v be_v two_o surface_n of_o water_n differ_v in_o altitude_n but_o they_o must_v differ_v in_o degree_n of_o pressure_n because_o the_o surface_n e_o a_o f_o be_v weak_a than_o the_o surface_n i_o l_o that_o be_v high_a than_o this_o we_o see_v four_a that_o two_o surface_n differ_v in_o strength_n may_v be_v make_v equal_a by_o some_o body_n or_o other_o interveen_n because_o though_o i_o l_o be_v strong_a than_o e_o a_o f_o yet_o see_v it_o support_v four_o pound_n of_o the_o tub_n it_o press_v up_o with_o no_o more_o force_n than_z e_o a_o f_o press_v down_o with_o we_o see_v five_o that_o a_o body_n suspend_v in_o a_o fluid_fw-la as_o in_o air_n or_o in_o water_n may_v have_v one_o part_n of_o it_o press_v equal_o with_o that_o fluid_a and_o another_o part_n unequal_o this_o be_v evident_a because_o the_o part_n e_o and_o f_o be_v equal_o press_v with_o the_o pillar_n c_o e_o and_o d_o f_o see_v this_o pressure_n be_v counterpoise_v with_o the_o pressure_n of_o water_n i_o k_o and_o l_o m._n but_o the_o middle_a part_n of_o the_o tub_n a_o be_v unequal_o press_v see_v it_o be_v press_v downward_o with_o the_o water_n g_o a_o but_o not_o press_v upward_o with_o the_o mercury_n b_o h._n we_o see_v sixthly_a that_o whatever_o be_v the_o thickness_n of_o a_o pillar_n of_o a_o fluid_a yet_o no_o more_o of_o its_o weight_n be_v find_v or_o be_v sensible_a than_o the_o part_n which_o press_v unequal_o for_o though_o e_z a_o f_o c_o g_o d_o be_v a_o pillar_n six_o or_o seven_o inch_n thick_a yet_o no_o more_o of_o the_o pressure_n be_v sensible_a than_o what_o come_v from_o g_z a._n we_o see_v seventhly_a that_o a_o body_n equal_o press_v with_o a_o fluid_a weigh_v less_o but_o a_o body_n unequal_o press_v weigh_v none_o at_o all_o this_o be_v clear_a in_o many_o particular_n for_o a_o stone_n weigh_v in_o water_n lose_v not_o all_o the_o weight_n but_o a_o paâ—t_n because_o it_o be_v equal_o press_v but_o a_o body_n unequal_o press_v as_o be_v the_o mercury_n h_o b_o have_v no_o weight_n at_o all_o as_o it_o now_o stand_v for_o understand_v this_o you_o must_v consider_v that_o the_o whole_a weight_n of_o it_o test_n upon_o the_o surface_n of_o water_n i_o l._n therefore_o though_o it_o can_v be_v weigh_v by_o a_o string_n pass_v from_o the_o top_n h_n to_o a_o balance_n exist_v in_o the_o air_n yet_o the_o say_a balance_n will_v find_v none_o of_o its_o weight_n see_v it_o be_v whole_o suspend_v by_o the_o water_n but_o a_o stone_n so_o weigh_v be_v only_o suspend_v in_o part_n by_o the_o water_n experiment_n xi_o figure_n 15._o a_o m_o z_o c_o be_v a_o water_n 15_o foot_n deep_a a_o b_o a_o glass-tub_n 14_o inch_n long_o and_o full_a of_o mercury_n b_o c_o a_o pillar_n of_o water_n 13_o foot_n 10_o inch_n high_a through_o who_o middle_a go_v a_o string_n to_o the_o scale_n of_o the_o balance_n k_o exist_v in_o the_o air._n d_o e_z be_v a_o tub_n full_a of_o mercury_n 28_o inch_n long_o with_o a_o pillar_n of_o water_n above_o it_o e_o f_o 12_o foot_n and_o eight_o inch_n g_o h_n a_o tub_n 42_o inch_n long_o with_o a_o pillar_n of_o water_n above_o it_o h_n i_o 11_o foot_n and_o six_o inch_n high_a and_o last_o a_o d_o g_o s_o m_o a_o imaginary_a surface_n 15_o foot_n deep_a this_o experiment_n be_v bring_v hither_o to_o demonstrate_v that_o a_o heavy_a body_n weigh_v as_o much_o in_o water_n as_o in_o air_n which_o be_v pointblank_o to_o the_o common_a receive_v opinion_n and_o destructive_a of_o the_o 18_o theorem_fw-la to_o evince_v this_o i_o must_v suppose_v the_o 14_o inch_n of_o mercury_n in_o the_o tub_n a_o b_o to_o weigh_v 14_o ounce_n and_o the_o 28_o inch_n of_o mercury_n d_o e_o to_o weigh_v 28_o ounce_n the_o 42_o inch_n g_o h_n to_o weigh_v i_o mean_v in_o the_o air_n 42_o ounce_n now_o i_o say_v to_o make_v a_o just_a equipondium_fw-la between_o the_o two_o scale_n k_o and_o l_o the_fw-mi must_v be_v 14_o ounce_n put_v into_o the_o scale_n l._n if_o after_o this_o manner_n you_o weigh_v the_o tub_n and_o mercury_n d_o e_o 28_o ounce_n will_v be_v require_v in_o the_o scale_n l_o and_o 42_o if_o you_o weigh_v the_o tub_n and_o mercury_n g_o h._n for_o prove_v this_o doctrine_n i_o must_v appeal_v to_o experience_n which_o will_v not_o fail_v in_o this_o if_o you_o reply_v and_o say_v upon_o supposition_n the_o tub_n and_o mercury_n g_o h_n be_v a_o solid_a piece_n of_o brass_n or_o iron_n thus_o suspend_v in_o the_o water_n ought_v it_o not_o to_o weigh_v less_o here_o than_o in_o the_o air_n even_o as_o much_o less_o as_o be_v the_o weight_n of_o the_o quantity_n of_o water_n it_o put_v out_o of_o its_o place_n why_o then_o shall_v not_o the_o pipe_n h_o g_o with_o the_o mercury_n in_o it_o do_v the_o same_o see_v there_o be_v no_o apparent_a difference_n between_o they_o as_o to_o this_o but_o to_o leave_v this_o which_o will_v appear_v afterward_o and_o to_o let_v the_o reader_n see_v the_o truth_n of_o the_o 18_o theorem_fw-la i_o affirm_v it_o be_v not_o the_o weight_n of_o the_o 14_o ounce_n of_o mercury_n a_o b_o that_o burden_v the_o scale_n of_o the_o balance_n k_o and_o that_o make_v a_o counterpoise_n with_o the_o 14_o ounce_n of_o stone_n or_o lead_v that_o be_v in_o the_o scale_n l._n what_o then_o be_v it_o you_o say_v i_o answer_v it_o be_v 14_o ounce_n of_o the_o pillar_n of_o water_n b_o c_o that_o do_v
this_o neither_o do_v the_o weight_n of_o the_o 28_o ounce_n of_o mercury_n d_o e_o burden_n the_o balance_n but_o only_o 28_o ounce_n of_o the_o water_n e_o f._n neither_o do_v the_o balance_n support_v the_o weight_n of_o the_o 42_o ounce_n of_o mercury_n g_o h_n but_o it_o be_v only_o burden_v with_o 42_o ounce_n of_o the_o water_n h_o i._n the_o reason_n be_v most_o evident_a because_o according_a to_o the_o principle_n of_o the_o hydrostaticks_n already_o lay_v down_o the_o cylinder_n of_o mercury_n a_o b_o within_z the_o tub_n a_o b_o rest_v immediate_o upon_o the_o imaginary_a surface_n of_o the_o water_n a_o d_o g_o and_o therefore_o can_v burden_v the_o scale_n in_o any_o wise_a the_o same_o be_v true_a of_o the_o other_o two_o cylinder_n of_o mercury_n but_o in_o this_o i_o find_v small_a difficulty_n the_o great_a be_v how_o to_o make_v it_o out_o that_o the_o scale_n k_o support_v 14_o ounce_n of_o the_o water_n b_o c_o and_o 28_o of_o the_o water_n e_o f_o and_o 42_o of_o the_o water_n h_n i._o to_o make_v this_o seem_v probable_a consider_v first_o as_o be_v note_v that_o this_o water_n be_v 15_o foot_n deep_a and_o consequent_o the_o pillar_n of_o water_n b_o c_o 13_o foot_n 10_o inch_n the_o water_n e_o f_o 12_o foot_n eight_o inch_n and_o h_n i_o 11_o foot_n and_o a_o half_a consider_v second_o though_o this_o be_v true_a yet_o we_o must_v count_v the_o pillar_n of_o water_n z_o m_o 49_o foot_n high_a the_o reason_n be_v evident_a because_o the_o pressure_n of_o the_o air_n upon_o the_o surface_n of_o all_o water_n according_a to_o the_o 25_o theorem_fw-la be_v equivalent_a to_o 34_o foot_n of_o water_n this_o then_o be_v add_v to_o 15_o make_v 49_o and_o by_o this_o reckon_n the_o water_n b_o c_o be_v 47_o foot_n ten_o inch_n the_o water_n e_o f_o 46_o foot_n eight_o inch_n and_o last_o the_o water_n h_n i_o 45_o foot_n six_o inch_n three_o for_o easy_a count_a i_o must_v suppose_v the_o whole_a cylinder_n z_o m_o to_n weigh_v 42_o ounce_n every_o 14_o inch_n one_o ounce_n and_o consequent_o the_o water_n b_o c_o to_n weigh_v 41_o ounce_n the_o water_n e_o f_o to_o weigh_v 40_o ounce_n the_o water_n h_n i_o 39_o ounce_n note_v that_o in_o physical_a demonstration_n it_o be_v not_o needful_a to_o use_v mathematical_a strictness_n in_o count_v and_o so_o leave_v out_o fraction_n we_o shall_v only_o use_v round_a number_n consider_v four_a that_o in_o all_o fluid_n as_o have_v be_v frequent_o mark_v there_o be_v a_o pondus_fw-la and_o potentia_fw-la the_o water_n b_o c_o be_v the_o pondus_fw-la and_o the_o mercury_n a_o b_o the_fw-fr potentia_fw-la the_o one_o strive_v to_o press_v down_o the_o tub_n the_o other_o strive_v to_o press_v it_o up_o consider_v five_o that_o by_o how_o much_o the_o more_o a_o body_n suspend_v in_o a_o fluid_fw-la be_v press_v up_o by_o so_o much_o the_o less_o the_o weight_n that_o press_v it_o down_o be_v find_v and_o contrariwise_o by_o how_o much_o the_o less_o it_o be_v press_v up_o by_o so_o much_o the_o more_o the_o pressure_n above_o be_v find_v consider_v sixthly_a the_o less_o that_o a_o surface_n of_o water_n be_v burden_v the_o more_o able_a it_o be_v to_o counterbalance_v the_o opposite_a pressure_n and_o the_o more_o it_o be_v burden_v it_o be_v the_o less_o able_a consider_v seventhly_a that_o the_o mercury_n a_o b_o which_o be_v evident_a in_o all_o fluid_n not_o only_o press_v downward_o and_o burden_n the_o surface_n a_o d_o g_o but_o also_o press_v upward_o and_o therefore_o actual_o endeavour_v to_o thrust_v up_o the_o tub_n and_o so_o it_o be_v that_o the_o tub_n be_v press_v between_o two_o namely_o between_o the_o water_n c_o b_o and_o the_o mercury_n within_o it_o now_o from_o these_o consideration_n i_o say_v the_o scale_n k_o must_v support_v and_o bear_v up_o 14_o ounce_n of_o the_o water_n b_o c_o for_o see_v the_o mercury_n be_v support_v by_o the_o surface_n of_o water_n on_o which_o it_o rest_v it_o can_v by_o any_o mean_n burden_v the_o balance_n with_o its_o weight_n and_o see_v it_o actual_o press_v up_o the_o tub_n according_a to_o the_o seven_o consideration_n it_o must_v so_o much_o the_o more_o counterpoise_n according_a to_o the_o six_o the_o opposite_a pressure_n of_o the_o water_n b_o c_o and_o consequent_o diminish_v the_o weight_n of_o it_o so_o that_o the_o balance_n can_v support_v the_o whole_a but_o a_o part_n for_o according_a to_o what_o degree_n of_o force_n the_o mercury_n press_v up_o the_o tub_n with_o according_a to_o the_o same_o must_v the_o pressure_n upon_o the_o top_n of_o the_o tub_n be_v diminish_v and_o so_o if_o the_o mercury_n press_v up_o the_o tub_n with_o the_o force_n of_o 27_o ounce_n the_o water_n b_o c_o must_v press_v it_o down_o with_o 14_o ounce_n only_o and_o so_o the_o cylinder_n b_o c_o that_o weigh_v real_o 41_o ounce_n must_v press_v the_o top_n of_o this_o tub_n only_o with_o 14_o which_o 14_o ounce_n real_o counterpoise_v the_o 14_o ounce_n of_o stone_n in_o the_o scale_n l._n but_o how_o be_v it_o make_v out_o that_o the_o mercury_n a_o b_o press_v up_o with_o 27_o ounce_n for_o understand_v this_o remember_v that_o the_o water_n be_v 49_o foot_n high_a take_v in_o the_o pressure_n of_o the_o air_n and_o that_o a_o water_n of_o that_o deepness_n be_v able_a to_o support_v 41_o inch_n of_o mercury_n every_o inch_n weigh_v one_o ounce_n for_o if_o 14_o of_o water_n be_v able_a to_o support_v one_o of_o mercury_n 49_o foot_n or_o 567_o inch_n must_v support_v 41._o if_o then_o the_o part_n of_o the_o surface_n a_o be_v able_a to_o weigh_v 41_o it_o must_v have_v of_o upward_a pressure_n 27_o ounce_n see_v its_o counterpoise_a de_fw-la facto_fw-la only_o with_o 14._o take_v notice_n that_o in_o the_o hydrostaticks_n the_o word_n press_v or_o weigh_v as_o real_o and_o true_o signify_v a_o weigh_v up_o as_o a_o weigh_v down_o see_v it_o be_v no_o less_o essential_a to_o fluid_a body_n to_o move_v upward_o than_o downward_o and_o that_o with_o equal_a force_n and_o weight_n according_a to_o this_o reason_n the_o balance_n support_v 28_o ounce_n of_o the_o water_n e_o f_o imagine_v the_o second_o tub_n to_o be_v suspend_v as_o the_o first_o see_v the_o cylinder_n of_o mercury_n d_o e_o press_v up_o the_o tub_n only_o with_o the_o weight_n of_o 12_o ounce_n which_o 28_o ounce_n real_o counterpoise_v the_o 28_o ounce_n of_o stone_n in_o the_o scale_n l._n but_o why_o do_v the_o mercury_n a_o b_o press_v up_o with_o 27_o ounce_n and_o the_o mercury_n d_o e_z with_o 12_o for_o answer_v remember_v according_a to_o the_o six_o consideration_n the_o short_a a_o cylinder_n of_o mercury_n be_v the_o surface_n upon_o which_o it_o rest_v be_v the_o strong_a and_o more_o able_a to_o press_v it_o up_o and_o contrariwise_o the_o long_a it_o be_v the_o surface_n be_v the_o more_o unable_a and_o weak_a therefore_o a_o b_o being_z short_a and_o light_a than_o d_o e_z the_o surface_n of_o water_n must_v press_v it_o up_o with_o great_a force_n so_o that_o if_o the_o say_a surface_n a_o m_n be_v able_a to_o press_v up_o the_o mercury_n a_o b_o with_o 27_o ounce_n it_o must_v press_v up_o the_o mercury_n d_o e_o only_a with_o 12_o ounce_n according_a to_o this_o rule_n if_o the_o mercury_n a_o b_o be_v 15_o inch_n high_a it_o will_v press_v up_o only_o with_o 26_o ounce_n if_o it_o be_v 16_o with_o 25_o if_o 17_o with_o 24_o if_o 18_o with_o 23_o and_o so_o forward_o this_o lead_v we_o to_o a_o clear_a discovery_n of_o all_o the_o secret_n here_o for_o if_o the_o mercury_n a_o b_o thrust_v up_o the_o pipe_n with_o the_o weight_n of_o 27_o ounce_n then_o must_v the_o scale_n k_o be_v ease_v of_o so_o much_o weight_n and_o so_o much_o must_v be_v subtract_v from_o l._n now_o let_v we_o imagine_v the_o pipe_n a_o b_o to_o be_v empty_a both_o of_o air_n water_n and_o mercury_n in_o this_o case_n 41_o ounce_n must_v be_v in_o the_o scale_n l_o to_o counterpoise_v it_o see_v the_o whole_a cylinder_n b_o c_o that_o weigh_v so_o much_o do_v now_o real_o counterpoise_v it_o let_v we_o imagine_v next_o these_o 14_o inch_n of_o mercury_n to_o rise_v and_o fill_v the_o tub_n a_o b_o in_o this_o case_n there_o happen_v a_o great_a alteration_n because_o the_o rise_n of_o they_o be_v real_o equivalent_a to_o the_o subtract_v of_o 27_o ounce_n from_o the_o scale_n l_o and_o the_o reason_n be_v because_o by_o so_o rise_v and_o fill_v the_o tub_n they_o thrust_v up_o the_o say_a tub_n and_o by_o this_o mean_n ease_v the_o scale_n k_o of_o so_o much_o weight_n now_o this_o scale_n be_v ease_v you_o must_v of_o necessity_n
pressure_n and_o force_n of_o the_o under_o water_n will_v thrust_v up_o the_o inferior_a plain_n and_o the_o weight_n r_o about_o eight_o foot_n high_o than_o x_o in_n and_o there_o suspend_v they_o the_o reason_n be_v because_o the_o surface_n x_o in_n be_v able_a to_o sustain_v 400_o and_o be_v burden_v only_o with_o 352_o must_v have_v the_o weight_n of_o 48._o now_o the_o upper_a plain_n be_v take_v away_o and_o the_o upper_a water_n also_o and_o the_o empty_a space_n of_o both_o remain_a the_o say_a weight_n of_o 48_o pound_n must_v carry_v the_o under_o plain_a as_o high_a as_o be_v say_v let_v we_o suppose_v four_a the_o pressure_n of_o the_o element_n of_o air_n that_o rest_v upon_o i_o k_o to_o be_v take_v away_o then_o must_v the_o two_o plain_a body_n be_v disunite_v the_o inferior_a fall_n from_o the_o superior_a the_o reason_n be_v because_o in_o this_o case_n the_o superior_a water_n will_v have_v but_o the_o weight_n of_o 200_o pound_n and_o consequent_o the_o inferior_a will_v press_v up_o only_o with_o as_o much_o but_o 200_o be_v not_o able_a to_o counterpoise_v 352._o from_o what_o be_v say_v we_o see_v first_o that_o in_o all_o fluid_v there_o be_v a_o upward_a pressure_n as_o well_o as_o a_o downward_o and_o that_o the_o one_o be_v always_o of_o equal_a force_n to_o the_o other_o because_o the_o inferior_a plain_n be_v press_v up_o with_o as_o great_a force_n as_o the_o superior_a plain_n be_v press_v down_o with_o we_o see_v second_o that_o in_o fluids_n there_o be_v a_o pondus_fw-la and_o a_o potentia_n the_o potentiâ—_n here_o be_v the_o inferior_a water_n and_o the_o pondus_fw-la be_v the_o superior_a or_o the_o 350_o pound_n of_o lead_n r_o may_v be_v call_v the_o pondus_fw-la which_o counterpoise_v the_o potentia_fw-la of_o the_o surface_n of_o water_n x_o y._n we_o see_v three_o that_o though_o the_o pressure_n of_o a_o fluid_a be_v not_o the_o same_o thing_n with_o the_o natural_a weight_n yet_o it_o be_v equivalent_a to_o it_o because_o the_o 352_o pound_n of_o lead_n r_o be_v sustain_v by_o the_o pressure_n of_o the_o inferior_a water_n which_o can_v not_o be_v unless_o they_o be_v virtual_o the_o same_o we_o see_v four_a that_o there_o may_v be_v as_o much_o pressure_n in_o one_o foot_n of_o water_n as_o there_o be_v weight_n in_o 100_o or_o in_o 1000_o foot_n or_o in_o 1000_o fathom_n for_o put_v the_o case_n these_o two_o plain_a body_n be_v suspend_v 100_o fathom_n below_o the_o surface_n of_o the_o sea_n and_o within_o a_o foot_n or_o two_o of_o the_o ground_n as_o much_o weight_n will_v be_v require_v to_o pull_v they_o asunder_o as_o be_v the_o weight_n of_o a_o pillar_n of_o water_n 100_o fathom_n high_a and_o 4_o inch_n thick_a every_o way_n which_o will_v be_v more_o than_o 3000_o pound_n weight_n beside_o the_o weight_n of_o the_o air_n above_o that_o will_v weigh_v 200_o pound_n this_o can_v not_o be_v unless_o there_o be_v as_o much_o pressure_n in_o the_o low_a foot_n of_o this_o water_n 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through_o the_o middle_n square-wise_a as_o a_o b_o c_o d_o in_o the_o 18_o figure_n what_o phenomena_n will_v follow_v before_o i_o answer_v consider_v that_o this_o figure_n represent_v the_o inner_a face_n of_o the_o brass-plate_n c_o d_o n_o o_o of_o the_o 17_o figure_n which_o as_o be_v suppose_v be_v four_o inch_n from_o 〈◊〉_d to_o side_n and_o consequent_o contain_v 16_o square_a inch_n now_o imagine_v the_o under_o plain_a c_o d_o n_o o_o while_o it_o be_v unite_v to_o the_o uppermost_a to_o have_v four_o square_a inch_n cut_v out_o of_o it_o as_o a_o b_o c_o d._n these_o thing_n be_v right_o conceive_v and_o understand_v i_o say_v when_o the_o say_v hole_n be_v cut_v through_o the_o beam_n t_o v_n that_o now_o sustain_v 350_o pound_n shall_v by_o this_o mean_n only_o sustain_v 250_o pound_n to_o make_v this_o evident_a consider_v that_o the_o under_o plain_a as_o be_v say_v contain_v 16_o square_a inch_n next_o that_o the_o top_n of_o the_o inferior_a water_n upon_o which_o 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that_o sustain_v and_o every_o one_o of_o these_o twelve_o be_v but_o able_a to_o support_v 25_o pound_n it_o necessary_o follow_v that_o the_o great_a weight_n they_o be_v able_a to_o sustain_v be_v 300_o pound_n i_o affirm_v three_o that_o if_o a_o five_o hole_n be_v cut_v through_o the_o under_z plain_n will_v fall_v from_o the_o upper_a because_o in_o this_o case_n the_o inferior_a water_n be_v not_o able_a to_o support_v 350_o pound_n as_o before_o see_v of_o 16_o part_n there_o be_v five_o want_v and_o eleven_o remain_v can_v support_v more_o weight_n than_o 275_o pound_n more_o question_n of_o this_o kind_n may_v â—e_v propose_v as_o first_o what_o will_v come_v to_o pass_v if_o the_o the_o upper_a
plain_n have_v as_o many_o hole_n cut_v through_o it_o answer_v to_o the_o four_o of_o the_o nether_a second_o what_o will_v follow_v if_o the_o nether_a plain_n be_v entire_a and_o four_o bore_v through_o the_o upper_a but_o i_o shall_v supersede_n and_o leave_v these_o to_o be_v gather_v by_o the_o judicious_a reader_n from_o this_o experiment_n we_o see_v first_o that_o the_o broad_a and_o large_a a_o surface_n of_o a_o fluid_a be_v it_o be_v the_o more_o able_a to_o sustain_v a_o burden_n and_o the_o narrow_a it_o be_v it_o be_v the_o less_o able_a second_o that_o each_o part_n of_o a_o surface_n be_v able_a to_o sustain_v so_o much_o weight_n and_o no_o more_o and_o no_o less_o from_o what_o be_v say_v we_o shall_v only_o inâ—err_v this_o conclusion_n that_o equality_n of_o height_n between_o pillar_n of_o a_o fluid_a make_v equal_a pressure_n and_o inequality_n of_o height_n make_v unequal_a pressure_n therefore_o it_o be_v no_o matter_n whether_o they_o be_v gross_a or_o small_a thick_a or_o slender_a provide_v they_o be_v all_o of_o the_o same_o altitude_n experiment_n fourteen_o figure_n 20._o this_o schematism_n represent_v a_o vessel_n full_a of_o water_n 8_o foot_n deep_a e_o f_o be_v a_o glass-pipe_n open_a at_o both_o end_n about_o 9_o foot_n high_a and_o one_o inch_n in_o diameter_n a_o b_o c_o d_o be_v a_o vessel_n of_o glass_n or_o of_o any_o other_o metal_n through_o who_o orifice_n above_o the_o say_a pipe_n come_v down_o b_o h_n i_o be_v a_o pipe_n go_v out_o from_o the_o say_a vessel_n crooked_a with_o a_o right_a angle_n at_o h_n that_o the_o orifice_n i_o may_v look_v upward_o that_o some_o hydrostatical_a conclusion_n may_v be_v infer_v from_o this_o experiment_n fill_v the_o low_a vessel_n a_o b_o c_o d_o with_o quicksilver_n almost_o then_o pour_v in_o as_o much_o water_n above_o it_o as_o will_v fill_v the_o space_n a_o b_o h_n leave_v from_o h_n to_o i_o full_a of_o air._n next_o thrust_v down_o the_o orifice_n of_o the_o pipe_n e_o below_o the_o say_a water_n and_o mercury_n till_o it_o rest_v upon_o the_o bottom_n c_o d._n last_o stop_v well_o with_o cement_n the_o passage_n of_o the_o low_a vessel_n through_o which_o the_o pipe_n come_v down_o that_o neither_o air_n nor_o water_n may_v go_v out_o or_o come_v in_o these_o thing_n be_v do_v let_v down_o this_o engine_n to_o the_o bottom_n of_o the_o large_a vessel_n which_o as_o be_v note_v be_v full_a of_o water_n from_o m_n n_o to_o k_o l_o 8_o foot_n and_o you_o will_v find_v the_o mercury_n to_o rise_v in_o the_o pipe_n from_o a_o b_o to_z g_z 6_o inch_n and_o more_o the_o reason_n be_v because_o there_o be_v a_o pillar_n of_o water_n k_o i_o that_o enter_v the_o orifice_n i_o and_o press_v down_o the_o air_n from_o i_o to_o p_o 3_o inch_n which_o before_o be_v 6._o this_o air_n be_v so_o burden_v instant_o press_v forward_o the_o water_n h_o b_o a_o and_o this_o press_v the_o surface_n of_o the_o stagnant_a mercury_n a_o b_o cause_v the_o liquor_n run_v up_o the_o pipe_n from_o a_o b_o to_z g_z 6_o inch_n the_o reason_n why_o it_o rise_v 6_o inch_n be_v this_o between_o the_o surface_n of_o the_o stagnant_a mercury_n a_o b_o and_o the_o top_n of_o the_o water_n l_o o_fw-fr k_o be_v 84_o inch_n now_o water_n be_v 14_o time_n natural_o light_a than_o mercury_n there_o must_v be_v 14_o inch_n of_o water_n require_v for_o sustain_v one_o inch_n of_o mercury_n and_o consequent_o 84_o for_o support_v 6._o for_o a_o second_o trial_n lift_v up_o the_o whole_a engine_n to_o the_o top_n of_o the_o water_n and_o you_o will_v find_v the_o 6_o inch_n of_o mercury_n b_o g_o sink_n down_o and_o become_v no_o high_o within_o the_o pipe_n than_o the_o surface_n of_o the_o stagnant_a mercury_n a_o b_o without_o the_o reason_n be_v because_o by_o come_v up_o above_o the_o water_n the_o pressure_n of_o the_o water_n k_o i_o be_v take_v away_o from_o the_o orifice_n i_o by_o which_o mean_v the_o compress_a air_n h_n p_o extend_v itself_o to_o i_o liberat_o the_o water_n a_o b_o h_n of_o the_o pressure_n it_o have_v and_o this_o free_v the_o mercury_n of_o its_o pressure_n and_o so_o the_o 6_o inch_n fall_v down_o for_o a_o three_o trial_n stop_v close_o the_o orifice_n i_o and_o let_v all_o down_o as_o before_o in_o this_o case_n you_o will_v find_v no_o ascent_n of_o mercury_n from_o b_o to_z g_z because_o the_o water_n k_o i_o can_v have_v access_n to_o thrust_v down_o the_o air_n from_o i_o to_o p_o as_o former_o for_o a_o four_o open_v the_o say_a orifice_n i_o while_o the_o engine_n be_v below_o the_o water_n and_o you_o will_v find_v the_o mercury_n rise_v from_o b_o to_z g_z because_o the_o pillar_n of_o water_n k_o i_o have_v now_o access_n to_o press_v for_o a_o five_o trial_n stop_v the_o orifice_n i_o and_o bring_v up_o all_o to_o the_o top_n and_o you_o will_v find_v the_o six_o inch_n of_o mercury_n b_o g_z suspend_v as_o if_o the_o engine_n be_v under_o the_o water_n the_o reason_n be_v because_o the_o stop_n of_o the_o orifice_n keep_v the_o enclose_a air_n p_o h_n under_o the_o same_o degree_n of_o pressure_n it_o obtain_v from_o the_o water_n k_o i._o for_o a_o six_o proof_n open_v the_o same_o orifice_n i_o while_o the_o engine_n be_v above_o the_o water_n and_o you_o will_v find_v the_o six_o inch_n of_o mercury_n fall_v down_o because_o the_o imprison_a air_n h_n p_o obtain_v now_o its_o liberty_n and_o expand_v itself_o from_o h_n to_o i_o ease_v the_o water_n b_o h_n of_o the_o burden_n it_o be_v under_o for_o a_o seven_o pour_v in_o 14_o inch_n of_o water_n at_o the_o orifice_n f_o till_o it_o rest_v upon_o the_o top_n of_o the_o mercury_n at_o g_o and_o you_o will_v find_v one_o inch_n fall_v down_o pour_v in_o as_o much_o and_o two_o inch_n fall_v down_o in_o a_o word_n pour_v in_o as_o much_o water_n as_o will_v fill_v the_o pipe_n to_o o_o and_o you_o will_v find_v the_o whole_a six_o inch_n fall_v down_o the_o reason_n be_v because_o the_o water_n k_o i_o be_v not_o able_a to_o sustain_v both_o the_o six_o inch_n of_o mercury_n and_o the_o water_n that_o be_v pour_v in_o any_o one_o of_o they_o be_v able_a and_o sufficient_a to_o counterpoise_v it_o for_o a_o eight_o trial_n empty_z the_o pipe_n of_o the_o say_a water_n and_o after_o the_o mercury_n be_v ascend_v from_o a_o b_o to_z g_z as_o formerly_z suck_v out_o the_o whole_a air_n between_o g_z and_o f_o and_o you_o will_v find_v the_o mercury_n to_o rise_v from_o g_z to_z r_z 29_o inch_n the_o reason_n of_o this_o be_v evident_a from_o the_o pillar_n of_o air_n s_o k_n that_o rest_v upon_o the_o top_n of_o the_o pillar_n of_o water_n k_o i_o for_o by_o suck_v out_o the_o say_a air_n you_o take_v away_o the_o pondus_fw-la or_o weight_n that_o counterpoise_v the_o weight_n of_o the_o pillar_n s_o k_n therefore_o it_o find_v its_o counterpoise_n remove_v present_o cause_v the_o water_n k_o i_o to_o enter_v far_o within_o the_o crooked_a pipe_n till_o it_o have_v press_v up_o the_o liquor_n to_o r._n for_o a_o nine_o trial_n take_v the_o six_o inch_n of_o mercury_n b_o g_o and_o put_v they_o into_o the_o scale_n of_o a_o balance_n then_o take_v as_o much_o water_n as_o will_v fill_v the_o tub_n between_o a_o b_o and_o o_o and_o put_v it_o into_o the_o other_o scale_n and_o you_o will_v find_v a_o most_o exact_a counterbalance_n between_o they_o the_o reason_n be_v because_o if_o the_o water_n k_o h_n or_o a_o pillar_n of_o that_o height_n be_v able_a to_o raise_v and_o counterpoise_v the_o mercury_n b_o g_o then_o must_v as_o much_o water_n as_o fill_v the_o pipe_n between_o b_o and_o o_o be_v the_o just_a weight_n of_o it_o the_o reason_n of_o this_o consequence_n be_v because_o these_o two_o water_n be_v of_o the_o same_o weight_n therefore_o if_o the_o one_o be_v the_o just_a weight_n of_o it_o the_o other_o must_v be_v so_o too_o if_o it_o be_v say_v that_o the_o water_n that_o fill_v the_o pipe_n between_o b_o and_o o_o be_v far_o thick_a than_o the_o water_n k_o h_n therefore_o they_o can_v be_v both_o of_o one_o weight_n i_o answer_v equality_n of_o altitude_n in_o this_o balance_n of_o nature_n be_v equality_n of_o weight_n therefore_o see_v the_o one_o water_n be_v as_o high_a as_o the_o other_o they_o must_v be_v both_o of_o one_o weight_n if_o it_o be_v say_v that_o a_o pillar_n of_o water_n between_o k_o and_o h_n can_v counterpoise_v the_o six_o inch_n of_o mercury_n b_o g_o both_o be_v put_v into_o a_o balance_n and_o the_o reason_n be_v because_o the_o one_o be_v thick_a than_o the_o
other_o i_o answer_v this_o only_a prove_v that_o two_o pillar_n differ_v in_o weight_n in_o the_o libra_n or_o artificial_a balance_n may_v be_v of_o one_o weight_n in_o the_o natural_a balance_n because_o in_o the_o artificial_a balance_n body_n counterpoise_v one_o another_o according_a to_o all_o their_o dimension_n but_o in_o the_o natural_a balance_n such_o as_o this_o engine_n be_v fluid_v counterpoise_v one_o another_o according_a to_o their_o altitude_n only_o from_o the_o first_o trial_n we_o conclude_v first_o that_o water_n even_o in_o its_o own_o place_n gravitat_n and_o weigh_v because_o this_o water_n by_o its_o pressure_n de_fw-fr facto_fw-la thrust_v up_o 6_o inch_n of_o mercury_n we_o see_v in_o the_o next_o place_n that_o the_o pressure_n of_o a_o fluid_a be_v as_o easy_o communicate_v horizontal_o as_o perpendicular_o because_o the_o pressure_n run_v alongst_o from_o h_n to_o b._n we_o see_v three_o that_o fluids_n may_v have_v as_o much_o pressure_n beget_v in_o they_o even_o while_o they_o be_v environ_v about_o close_o with_o solid_a body_n whereby_o the_o superior_a pressure_n immediate_o and_o direct_o by_o perpendicular_a line_n be_v keep_v off_o as_o if_o they_o be_v immediate_o under_o the_o pressure_n because_o the_o mercury_n a_o b_o c_o d_o be_v as_o much_o burden_v with_o the_o pressure_n that_o come_v from_o h_n as_o if_o the_o upper_a part_n of_o the_o vessel_n a_o b_o be_v open_a to_o let_v in_o the_o superior_a pressure_n by_o perpendicular_a line_n the_o air_n then_o under_o the_o roof_n of_o a_o house_n be_v under_o as_o great_a a_o bensil_n and_o pressure_n as_o the_o air_n without_o that_o be_v direct_o under_o the_o pressure_n of_o the_o atmosphere_n we_o see_v four_a that_o the_o pressure_n of_o a_o fluid_a may_v be_v as_o easy_o communicate_v through_o the_o part_n of_o heterogeneous_a fluid_n as_o through_o the_o part_n of_o homogeneous_a because_o the_o pressure_n of_o the_o water_n k_o i_o be_v as_o easy_o communicate_v through_o the_o air_n p_o h_n through_o the_o water_n h_o b_o and_o through_o the_o stagnant_a mercury_n b_o d_o to_o the_o orifice_n e_o as_o if_o nothing_o interveen_v but_o water_n we_o see_v five_o that_o mercury_n can_v suffer_v a_o pressure_n as_o well_o as_o water_n or_o air_n because_o the_o six_o inch_n can_v rise_v from_o b_o to_z g_z unless_o the_o stagnant_a mercury_n a_o b_o c_o d_o be_v compress_v even_o in_o all_o the_o part_n of_o it_o from_o the_o second_o trial_n we_o see_v that_o there_o can_v be_v a_o pondus_fw-la in_o a_o fluid_fw-la unless_o there_o be_v a_o potentia_n to_o counterpoise_v it_o for_o when_o you_o take_v away_o the_o water_n r_o i_o by_o lift_v up_o the_o engine_n to_o the_o top_n of_o the_o water_n the_o mercury_n b_o g_o present_o fall_v down_o from_o the_o three_o trial_n we_o conclude_v that_o the_o pressure_n of_o a_o fluid_a can_v be_v communicate_v through_o solid_a body_n for_o when_o the_o engine_n be_v drown_v below_o the_o water_n with_o the_o orifice_n i_o stop_v no_o ascent_n of_o mercury_n follow_v we_o conclude_v from_o the_o four_o trial_n that_o it_o be_v impossible_a for_o two_o fluid_n to_o counterpoise_v one_o another_o unless_o they_o be_v in_o equilibrio_n because_o the_o water_n k_o i_o can_v sustain_v the_o mercury_n b_o g_o unless_o it_o be_v of_o the_o same_o weight_n from_o the_o five_o we_o conclude_v that_o a_o fluid_a may_v be_v keep_v under_o the_o same_o degree_n of_o compression_n after_o the_o superior_a weight_n that_o beget_v it_o be_v take_v away_o for_o after_o the_o engine_n be_v bring_v above_o the_o water_n with_o the_o orifice_n i_o stop_v the_o mercury_n b_o g_o be_v still_o suspend_v even_o by_o virtue_n of_o the_o pressure_n that_o be_v in_o the_o stagnant_a mercury_n this_o tell_v we_o that_o a_o sphere_n of_o glass_n full_a of_o air_n may_v retain_v its_o bensil_n even_o though_o the_o whole_a element_n of_o air_n that_o beget_v it_o be_v destroy_v from_o the_o six_o we_o gather_v that_o a_o fluid_a can_v abide_v under_o pressure_n when_o the_o burden_n be_v take_v away_o that_o beget_v it_o or_o that_o keep_v it_o under_o pressure_n for_o by_o open_v the_o orifice_n i_o the_o air_n p_o h_n extend_v itself_o and_o so_o be_v the_o water_n and_o mercury_n within_o the_o vessel_n free_v of_o their_o pressure_n likewise_o we_o gather_v from_o the_o seven_o trial_n that_o in_o the_o balance_n of_o nature_n one_o scale_n can_v be_v more_o burden_v than_o another_o or_o that_o two_o fluid_n can_v counterpoise_v one_o another_o unless_o they_o be_v in_o equilibrio_n for_o when_o you_o pour_v in_o 14_o inch_n of_o water_n upon_o the_o top_n of_o the_o mercury_n at_o g_o they_o thrust_v down_o one_o inch_n that_o there_o may_v be_v a_o just_a equipondium_fw-la between_o they_o and_o the_o opposite_a weight_n k_o i._o we_o gather_v from_o the_o eight_o trial_n which_o be_v observe_v before_o first_o that_o there_o can_v be_v a_o potentia_n in_o a_o fluid_fw-la unless_o there_o be_v a_o pondus_fw-la to_o counterpoise_v it_o for_o when_o you_o suck_v out_o the_o air_n g_o o_fw-fr which_o be_v the_o pondus_fw-la that_o counterpoise_v the_o air_n s_o k_n this_o present_o in_o stead_n of_o it_o raise_v 29_o inch_n of_o mercury_n from_o g_z to_z r._n we_o see_v second_o that_o one_o pillat_n of_o air_n can_v counterpoise_v another_o fluid_v of_o diverse_a kind_n interveen_v because_o the_o air_n s_o k_n counterpoise_n the_o air_n within_o the_o pipe_n g_o o_fw-fr the_o water_n k_o p_o first_o interveen_v the_o air_n p_o h_n next_o interveen_v and_o the_o stagnant_a and_o suspend_v mercury_n interveen_v also_o we_o see_v three_o from_o this_o eight_o trial_n that_o the_o pressure_n of_o the_o atmosphere_n may_v be_v communicate_v through_o diverse_a kind_n of_o fluids_n without_o the_o least_o diminution_n of_o its_o weight_n because_o the_o weight_n of_o the_o pillar_n of_o air_n s_o k_n be_v communicate_v and_o send_v down_o through_o the_o water_n k_o i_o through_o the_o air_n p_o h_n through_o the_o water_n h_o b_o through_o the_o stagnant_a mercury_n b_o d_o and_o up_z through_o the_o suspend_v mercury_n b_o g_o till_o it_o suspend_v the_o 29_o inch_n between_o g_z and_o r_z which_o be_v the_o just_a counterbalance_n of_o it_o we_o see_v moreover_o that_o fluids_n counterpoise_n one_o another_o according_a to_o altitude_n only_o and_o not_o according_a to_o thickness_n and_o breadth_n by_o compare_v the_o water_n k_o i_o that_o be_v but_o half_a a_o inch_n thick_a to_o the_o mercury_n b_o g_o that_o be_v a_o whole_a inch_n thick_a we_o see_v from_o the_o last_o trial_n that_o when_o a_o fluid_a be_v necessitate_v to_o counterpoise_v a_o fluid_a of_o another_o kind_n in_o stead_n of_o a_o fluid_a of_o its_o own_o kind_n it_o sustain_v no_o more_o of_o it_o than_o what_o be_v the_o just_a weight_n of_o the_o fluid_a of_o its_o own_o kind_n because_o the_o water_n k_o i_o be_v under_o a_o necessity_n to_o counterpoise_v the_o mercury_n b_o g_o in_o stead_n of_o so_o much_o water_n as_o will_v fill_v the_o tub_n it_o sustain_v no_o more_o of_o it_o than_o the_o just_a weight_n of_o so_o much_o water_n as_o be_v say_v we_o see_v second_o that_o when_o two_o fluid_n of_o divers_a kind_n do_v counterpoise_v one_o another_o that_o which_o be_v heavy_a in_o speciè_fw-fr have_v always_o the_o short_a cylinder_n next_o that_o the_o difference_n between_o their_o altitude_n be_v most_o exact_o according_a to_o the_o difference_n between_o their_o natural_a weight_n therefore_o b_o g_z be_v 14_o time_n low_a than_o b_o o_o because_o mercury_n be_v 14_o time_n heavy_a than_o water_n we_o see_v moreover_o that_o though_o two_o cylinder_n of_o a_o fluid_a can_v counterpoise_v one_o another_o in_o the_o natural_a balance_n such_o as_o this_o engine_n be_v yet_o they_o will_v not_o do_v it_o in_o the_o artificial_a balance_n because_o though_o b_o g_o counterpoise_n k_o i_o in_o this_o balance_n yet_o in_o a_o pair_n of_o scale_n the_o mercury_n will_v be_v as_o heavy_a again_o as_o the_o water_n we_o see_v last_o that_o notwithstanding_o of_o this_o yet_o such_o a_o thing_n may_v be_v for_o if_o the_o orifice_n i_o be_v make_v as_o wide_a as_o the_o orifice_n f_o that_o the_o cylinder_n k_o i_o may_v be_v equal_a to_o the_o mercury_n b_o g_z in_o thickness_n then_o sure_o the_o one_o will_v counterpoise_v the_o other_o in_o the_o libra_n or_o artificial_a balance_n experiment_n xv._n figure_n 21._o this_o schematism_n represent_v a_o water_n 72_o foot_n deep_a as_o c_o d_o a_o b_o together_o with_o a_o crooked_a pipe_n of_o glass_n i_o n_o h_n the_o one_o half_z whereof_o be_v i_o p_o 56_o inch_n high_a and_o one_o inch_n wide_a the_o other_o half_o be_v p_o n_o r_o h_n of_o a_o
far_o narrow_a diameter_n with_o a_o orifice_n h._n there_o be_v also_o a_o orifice_n at_o l_o with_o a_o neck_n about_o which_o be_v knit_v a_o small_a chord_n m_o l_o for_o let_v down_o this_o engine_n to_o the_o bottom_n of_o the_o water_n a_o b._n for_o trial_n cause_n fill_v the_o wide_a glass_n with_o mercury_n from_o p_o to_o k_o and_o you_o will_v find_v it_o rise_v in_o the_o narrow_a pipe_n as_o high_a as_o the_o orifice_n h._n this_o be_v do_v close_o hermetical_o or_o with_o good_a cement_n the_o orifice_n l_o then_o by_o help_n of_o this_o chord_n let_v all_o go_v down_o from_o the_o surface_n c_o d_o till_o it_o be_v exact_o 17_o foot_n from_o the_o top_n and_o you_o will_v find_v the_o mercury_n thrust_v down_o in_o the_o narrow_a pipe_n from_o h_n to_o r_o 14_o inch_n and_o a_o half_a let_v it_o down_o next_o as_o much_o and_o the_o mercury_n will_v be_v yet_o further_o thrust_v down_o namely_o from_o r_o to_o n_o the_o part_n h_o r_o n_o be_v full_a of_o water_n for_o understand_v the_o reason_n of_o this_o consider_v that_o between_o n_o and_o e_o be_v 34_o foot_n for_o so_o high_a be_v the_o slender_a pillar_n of_o water_n that_o come_v from_o the_o top_n and_o enter_v the_o orifice_n h_n come_v down_o through_o the_o pipe_n to_o n._n consider_v next_o that_o between_o the_o say_a pillar_n of_o water_n and_o the_o mercury_n n_o p_o k_n there_o be_v a_o counterpoise_n but_o this_o counterpoise_n can_v be_v unless_o the_o pillar_n of_o water_n be_v 34_o foot_n high_a see_v between_o n_o and_o k_n be_v 29_o inch_n of_o mercury_n for_o each_o inch_n thereof_o require_v 14_o of_o water_n upon_o this_o account_n it_o be_v that_o when_o the_o glass_n be_v 17_o foot_n drown_v 14_o inch_n and_o a_o half_a be_v thrust_v down_o from_o h_n to_o r._n if_o it_o be_v object_v that_o the_o pressure_n and_o bensil_n of_o the_o enclose_a air_n i_o k_o be_v equivalent_a to_o the_o weight_n of_o other_o 29_o inch_n and_o therefore_o the_o pillar_n of_o water_n e_o h_o r_o n_o must_v be_v 68_o foot_n high_a before_o a_o counterpoise_n can_v happen_v i_o answer_v it_o be_v true_a that_o be_v say_v but_o you_o do_v not_o consider_v that_o there_o be_v a_o pillar_n of_o air_n f_o e_o rest_v upon_o the_o top_n of_o the_o pillar_n of_o water_n that_o make_v a_o compensation_n exact_o to_o speak_v then_o true_o and_o real_o the_o 29_o inch_n of_o mercury_n n_o p_o k_n have_v the_o weight_n of_o 58_o inch_n and_o the_o 34_o foot_n of_o water_n e_o h_o r_o n_o have_v the_o weight_n of_o 68_o foot_n for_o a_o three_o trial_n let_v down_o the_o glass_n 6_o foot_n further_o and_o you_o will_v find_v the_o water_n pierce_v up_o through_o the_o thick_a cylinder_n of_o mercury_n p_o k_n and_o rest_n upon_o the_o top_n k._n the_o only_a difficulty_n be_v to_o determine_v how_o much_o will_v spring_v up_o before_o the_o motion_n of_o it_o cease_v it_o be_v evident_a that_o the_o water_n will_v ascend_v because_o come_v to_o the_o base_a of_o a_o thick_a and_o gross_a cylinder_n that_o it_o can_v entire_o lift_v it_o must_v pierce_v through_o it_o see_v the_o force_n of_o such_o a_o pillar_n of_o water_n be_v now_o much_o strong_a than_o the_o mercury_n for_o in_o effect_n the_o glass_n be_v drown_v 6_o foot_n further_o the_o pillar_n that_o come_v down_o through_o the_o slender_a pipe_n have_v the_o just_a weight_n of_o 34_o inch_n of_o mercury_n but_o 29_o can_v resist_v 34_o therefore_o the_o water_n not_o be_v able_a to_o lift_v it_o by_o reason_n of_o the_o disproportion_n that_o be_v between_o the_o thickness_n of_o the_o one_o and_o the_o slenderness_n of_o the_o other_o it_o must_v pierce_v up_o through_o it_o for_o clear_v this_o difficulty_n consider_v that_o this_o glass_n can_v go_v down_o from_o one_o imaginary_a surface_n to_o another_o v_o g._n from_o 34_o foot_n where_o it_o be_v till_o it_o come_v to_o 40_o where_o it_o now_o stand_v but_o there_o must_v be_v a_o alteration_n in_o the_o equipondium_fw-la see_v by_o go_v down_o the_o pillar_n of_o water_n e_o h_o r_o n_o grow_v high_a and_o consequent_o heavy_a and_o therefore_o some_o water_n must_v pierce_v up_o through_o the_o mercury_n for_o make_v a_o counterpoise_n for_o it_o be_v impossible_a for_o two_o fluid_n to_o counterpoise_v one_o another_o unless_o they_o be_v in_o equilibrio_n consider_v second_o that_o after_o the_o water_n be_v come_v to_o the_o top_n of_o the_o mercury_n at_o k_o it_o will_v find_v difficulty_n to_o find_v a_o room_n for_o itself_o see_v the_o space_n between_o saint_n and_o i_o be_v full_a of_o air._n notwithstanding_o of_o this_o it_o must_v ascend_v i_o say_v then_o after_o the_o glass_n be_v go_v down_o from_o 34_o to_o 40_o foot_n there_o will_v be_v about_o four_o inch_n of_o water_n above_o k_o which_o have_v reduce_v the_o 29_o inch_n of_o air_n k_o i_o to_o 25_o s_o 1._o if_o it_o be_v ask_v between_o what_o two_o thing_n be_v the_o equipondium_fw-la now_o i_o answer_v the_o first_o be_v at_o r_o between_z e_o h_n r_o and_o r_o n_o p_o k._n the_o second_o be_v at_o r_o between_z n_o r_o h_o e_o and_o n_o p_o k._n the_o three_o be_v now_o at_o saint_n between_o the_o 25_o inch_n of_o enclose_a air_n i_o s_o as_o one_o antagonist_n and_o the_o four_o inch_n of_o water_n s_o k_n with_o the_o 29_o inch_n of_o mercury_n k_o p_o and_o the_o water_n p_o n_o r_o h_o e_o as_o the_o other_o to_o make_v a_o four_o equipondium_fw-la sink_v the_o glass_n other_o six_o foot_n till_o it_o be_v 46_o foot_n from_o the_o top_n c_o d_o then_o must_v some_o more_o water_n spring_v up_o through_o the_o mercury_n this_o of_o necessity_n must_v be_v see_v the_o cylinder_n of_o water_n n_o r_o h_o e_o be_v six_o foot_n high_o and_o so_o far_o heavy_a than_o it_o be_v if_o this_o be_v then_o must_v the_o 25_o inch_n of_o air_n i_o saint_n be_v reduce_v to_o less_o quantity_n see_v be_v impossible_a for_o one_o fluid_a to_o become_v heavy_a unless_o its_o opposite_a and_o antagonist_n become_v heavy_a too_o for_o a_o equipondium_n sake_n note_v that_o the_o air_n i_o s_o will_v not_o lose_v other_o four_o inch_n with_o this_o six_o foot_n of_o water_n as_o it_o do_v with_o the_o former_a the_o reason_n be_v because_o if_o for_o every_o six_o foot_n the_o glass_n go_v down_o the_o air_n be_v compress_v four_o inch_n it_o be_v easy_a at_o last_o to_o reduce_v it_o to_o nothing_o for_o if_o six_o reduce_v it_o to_o four_o and_o 12_o to_o eight_o 38_o ought_v to_o reduce_v it_o to_o no_o inch_n which_o be_v impossible_a therefore_o i_o judge_v it_o must_v suffer_v compression_n by_o a_o certain_a proportion_n as_o we_o see_v upon_o a_o scale_n the_o division_n of_o artificial_a or_o natural_a sin_n grow_v less_o and_o less_o there_o be_v more_o space_n between_o 1_o and_o 2_o than_o between_o 2_o and_o 3_o more_o between_o 2_o and_o 3_o than_o between_o 3_o and_o 4_o and_o so_o upward_o till_o you_o come_v to_o 90._o therefore_o the_o second_o six_o foot_n must_v reduce_v the_o 25_o inch_n not_o to_o 21_o but_o to_o 23_o circiter_fw-la and_o so_o forth_o by_o the_o which_o mean_n though_o the_o glass_n shall_v go_v down_o in_o infinitum_fw-la yet_o the_o air_n shall_v never_o be_v reduce_v to_o nothing_o and_o there_o shall_v still_o some_o small_a quantity_n of_o water_n come_v up_o or_o in_o such_o a_o case_n the_o air_n may_v be_v so_o compress_v that_o it_o can_v be_v no_o more_o all_o the_o disseminate_a vacuity_n be_v expel_v but_o suppose_v this_o to_o be_v at_o 1000_o fathom_n then_o at_o 1500_o where_o the_o pressure_n be_v strong_a there_o can_v be_v no_o equipondium_fw-la which_o be_v absurd_a for_o where_o the_o pondus_fw-la become_v strong_a the_o potentia_fw-la ought_v to_o grow_v strong_a likewise_o i_o answer_v the_o motion_n of_o condensation_n cease_v indeed_o but_o there_o still_o remain_v a_o potentia_fw-la or_o rather_o in_o such_o a_o case_n a_o perfect_a resistentia_fw-la whereby_o the_o air_n be_v able_a to_o resist_v the_o great_a weight_n imaginable_a before_o it_o can_v be_v reduce_v to_o nothing_o or_o suffer_v a_o penetration_n of_o part_n that_o be_v to_o say_v two_o part_n to_o be_v in_o one_o space_n from_o the_o explication_n of_o these_o phenomena_n we_o conclude_v first_o that_o in_o water_n there_o be_v a_o considerable_a pressure_n see_v in_o let_v down_o the_o glass_n 17_o foot_n the_o mercury_n be_v press_v down_o from_o h_n to_o r_o and_o from_o r_z to_z n_o in_o go_v down_o other_o 17_o foot_n second_o that_o 29_o inch_n of_o mercury_n be_v as_o heavy_a as_o 34_o foot_n of_o water_n because_o the_o mercury_n
k_o p_o n_o make_v a_o just_a equipondium_fw-la with_o the_o water_n e_o h_o r_o n._n three_o that_o fluid_v not_o only_o of_o the_o same_o kind_n but_o of_o different_a kind_n do_v counterpoise_v one_o another_o according_a to_o altitude_n and_o not_o according_a to_o thickness_n because_o though_o the_o mercury_n k_o p_o n_o be_v far_o thick_a than_o the_o water_n e_o h_n yet_o they_o counterbalance_v one_o another_o because_o a_o proportion_n be_v keep_v according_a to_o their_o altitude_n four_o that_o a_o fluid_a natural_o light_a may_v move_v a_o fluid_a natural_o heavy_a and_o thrust_v it_o out_o of_o its_o own_o place_n because_o the_o water_n come_v in_o at_o h_n thrust_v down_o the_o mercury_n to_o r_o and_o from_o r_z to_z n_o and_o so_o forth_o five_o that_o of_o two_o fâ—uids_n unequal_a in_o strength_n debate_v together_o the_o weak_a of_o necessity_n must_v yield_v to_o the_o strong_a though_o the_o weak_a be_n far_o heavy_a natural_o than_o the_o strong_a as_o be_v evident_a in_o the_o mercuâ—y_n that_o yield_v to_o the_o water_n six_o that_o it_o be_v impossible_a for_o two_o fluid_n so_o long_o as_o they_o be_v unequal_a in_o strength_n to_o cease_v from_o motion_n till_o they_o come_v to_o a_o equipondium_fw-la because_o the_o water_n always_o spring_v up_o through_o the_o mercury_n till_o a_o equal_a balance_n happen_v seven_o that_o one_o fluid_a of_o this_o kind_n can_v counterpoise_v another_o fluid_n of_o the_o same_o kind_n though_o there_o be_v divers_a fluids_n interveening_a because_o the_o air_n f_o e_o counterpoise_v the_o air_n i_o k_o or_o i_o s_o notwithstanding_o of_o water_n and_o mercury_n interveen_v eight_o that_o there_o may_v be_v as_o much_o pressure_n in_o one_o inch_n of_o a_o fluid_a as_o in_o a_o million_o because_o the_o 29_o inch_n of_o air_n i_o saint_n have_v as_o much_o bensil_n in_o they_o as_o be_v in_o the_o whole_a pillar_n of_o air_n e_o f_o that_o go_v up_o from_o the_o top_n of_o the_o water_n to_o the_o top_n of_o the_o atmosphere_n nine_o that_o when_o one_o fluid_a be_v under_o pressure_n the_o next_o must_v be_v under_o the_o same_o degree_n of_o pressure_n though_o they_o be_v not_o of_o the_o same_o kind_n but_o of_o different_a sort_n because_o the_o air_n i_o s_o the_o water_n s_o k_n and_o mercury_n k_o p_o be_v sure_o under_o the_o same_o degree_n of_o pressure_n otherwise_o the_o motion_n can_v not_o end_v ten_o that_o when_o two_o fluid_n of_o divers_a kind_n do_v press_v one_o another_o that_o which_o be_v natural_o light_a ascend_v always_o to_o the_o high_a place_n and_o the_o heavy_a to_o the_o low_a because_o the_o air_n i_o s_o be_v above_o the_o water_n s_o k_n and_o the_o water_n s_o k_n be_v above_o the_o mercury_n note_v that_o this_o be_v not_o universal_a but_o only_o happen_v when_o the_o light_a cylinder_n be_v slendere_a than_o the_o other_o for_o if_o the_o mercury_n k_o p_o be_v no_o thick_a than_o the_o water_n p_o n_o r_o h_n this_o will_v raise_v it_o entire_o eleven_o that_o the_o compression_n of_o air_n to_o less_o space_n be_v not_o according_a to_o arithmetical_a progression_n 1_o 2_o 3_o 4_o 5_o but_o according_a to_o some_o other_o proportion_n which_o may_v be_v call_v uniform-difform_a note_v here_o that_o though_o this_o be_v true_a of_o the_o air_n while_o it_o be_v compress_v from_o a_o more_o quantity_n to_o a_o less_o as_o here_o or_o in_o a_o windgun_n yet_o it_o be_v not_o true_a of_o the_o pressure_n of_o the_o element_n of_o air_n which_o be_v more_o and_o more_o from_o the_o top_n of_o the_o atmosphere_n to_o the_o earth_n according_a to_o arithmetical_a progression_n as_o in_o water_n we_o see_v last_o that_o the_o heavy_a of_o fluid_n such_o as_o mercury_n press_v upward_o as_o well_o as_o downward_o because_o the_o top_n of_o the_o mercury_n k_o thrust_v up_o the_o water_n k_o s_o as_o well_o as_o it_o thrust_v down_o the_o water_n p_o n_o r_o h._n it_o may_v be_v inquire_v here_o how_o far_o this_o glass_n will_v go_v down_o before_o the_o 29_o inch_n of_o air_n i_o k_o be_v reduce_v to_o one_o inch_n i_o answer_v its_o hard_a to_o determine_v but_o it_o seem_v it_o ought_v to_o go_v down_o more_o than_o 300_o fathom_n in_o this_o case_n there_o will_v be_v 28_o inch_n of_o water_n above_o k._n let_v we_o suppose_v the_o orifice_n h_n to_o be_v stop_v at_o that_o deepness_n and_o the_o glass_n bring_v above_o the_o water_n then_o when_o the_o say_a orifice_n be_v open_v in_o the_o air_n you_o will_v find_v the_o whole_a water_n p_o n_o r_o h_n thrust_v out_o and_o not_o only_o this_o but_o the_o whole_a mercury_n p_o k_n spring_v out_o at_o the_o orifice_n h_n likewise_o except_o a_o little_a that_o remain_v between_o n_o and_o h_n the_o reason_n be_v because_o the_o 29_o inch_n of_o air_n be_v reduce_v to_o one_o will_v be_v under_o a_o very_a great_a bensil_n therefore_o the_o weight_n be_v take_v away_o that_o beget_v it_o of_o its_o own_o accord_n it_o will_v expand_v itself_o to_o its_o old_a dimension_n which_o it_o can_v not_o do_v unless_o both_o the_o 28_o inch_n of_o water_n that_o be_v suppose_v to_o be_v above_o k_o and_o the_o mercury_n k_o p_o be_v thrust_v out_o of_o their_o place_n experiment_n xvi_o figure_n 22._o this_o schematism_n represent_v a_o vessel_n full_a of_o water_n 84_o inch_n deep_a namely_o from_o l_o n_o the_o first_o surface_n to_o m_o r_o the_o bottom_n from_o m_n to_o r_o in_o breadth_n be_v 20_o inch_n there_o be_v here_o also_o two_o glass-pipe_n open_a at_o both_o end_n the_o one_o two_o inch_n wide_a the_o other_o half_o a_o inch_n wide_a both_o of_o they_o be_v 85_o inch_n long_o x_o in_n o_o be_v a_o surface_n of_o stagnant_a mercury_n among_o which_o the_o two_o end_n of_o the_o pipe_n be_v drown_v e_o c_o be_v a_o pillar_n of_o mercury_n six_o inch_n in_o height_n and_o so_o be_v g_o d_o both_o of_o they_o raise_v to_o that_o altitude_n by_o the_o pressure_n of_o the_o water_n upon_o the_o surface_n x_o y_o o._n the_o pillar_n e_o c_o at_fw-fr be_v support_v by_o and_o rest_v upon_o the_o imaginary_a pillar_n a_o p._n and_o so_o be_v the_o pillar_n g_o d_o b_o support_v by_o the_o pillar_n b_o q._n there_o be_v three_o thing_n that_o occur_v here_o from_o this_o operation_n of_o nature_n to_o be_v inquire_v after_o first_o why_o ought_v the_o mercury_n to_o rise_v in_o the_o two_o tub_n after_o the_o vessel_n be_v fill_v with_o water_n second_o why_o rather_o six_o inch_n than_o seven_o or_o eight_o three_o what_o be_v the_o reason_n why_o it_o rise_v as_o high_a in_o the_o wide_a tâ—b_n as_o in_o the_o narrow_a i_o answer_v the_o mercury_n rise_v from_o c_o to_z e_z and_o from_o d_o to_z g_z by_o the_o pressure_n of_o the_o water_n that_o rest_v upon_o the_o surface_n x_o y_o o._n before_o that_o the_o water_n be_v pour_v into_o the_o vessel_n there_o be_v here_o a_o most_o equal_a and_o uniform_a pressure_n upon_o the_o surface_n x_o in_n o_o both_o without_o and_o within_o the_o tub_n namely_o from_o the_o air_n that_o rest_v upon_o it_o but_o no_o soon_o be_v the_o water_n pour_v in_o but_o as_o soon_o the_o pressure_n become_v unequal_a the_o part_n of_o the_o surface_n without_o the_o tub_n be_v more_o burden_v than_o the_o part_n c_o and_o d_o within_o therefore_o the_o part_n that_o be_v less_o press_v must_v rise_v and_o climb_v up_o till_o the_o pressure_n become_v equal_a for_o it_o be_v impossible_a that_o a_o fluid_a can_v cease_v from_o motion_n so_o long_o as_o there_o be_v inequality_n of_o weight_n between_o the_o pondus_fw-la and_o the_o potentia_fw-la if_o any_o doubt_n let_v he_o pierce_v the_o side_n of_o the_o vessel_n and_o when_o the_o whole_a water_n be_v run_v out_o he_o will_v find_v e_o c_o and_o g_o d_o to_n have_v fall_v down_o which_o clear_o prove_v the_o climb_n up_o of_o the_o mercury_n to_o depend_v upon_o the_o inpouring_a of_o the_o water_n for_o understand_v the_o reason_n of_o the_o second_o remember_v that_o mercury_n as_o we_o have_v often_o note_v be_v count_v 14_o time_n heavy_a than_o water_n therefore_o e_z c_z must_v be_v six_o inch_n see_v x_o in_n o_o be_v press_v with_o the_o altitude_n of_o 84_o inch_n of_o water_n it_o will_v be_v judge_v no_o marvel_n to_o see_v the_o mercury_n rise_v from_o c_o to_z e_z and_o from_o d_o to_z g_z provide_v the_o face_n of_o the_o stagnant_a mercury_n be_v as_o high_a as_o z_o f._n no_o more_o strange_a it_o be_v to_o see_v the_o two_o mercury_n rise_v with_o the_o pressure_n of_o the_o water_n for_o in_o effect_n and_o real_o the_o say_a water_n be_v the_o just_a weight_n of_o as_o
much_o mercury_n as_o will_v fill_v between_o x_o o_o and_o z_o f._n for_o understand_v the_o three_o remember_v as_o be_v note_v before_o that_o fluid_a body_n counterpoise_v one_o another_o only_o according_a to_o altitude_n therefore_o it_o be_v no_o matter_n whether_o the_o tub_n be_v wide_a or_o narrow_a if_o it_o be_v inquire_v how_o can_v one_o and_o the_o â—ame_n water_n counterpoise_v two_o fluid_n of_o different_a weight_n to_o say_v that_o fluids_n counterpoise_n one_o another_o according_a to_o altitude_n do_v not_o clear_a the_o difficulty_n for_o it_o still_o remain_v to_o be_v ask_v why_o they_o counterpoise_v one_o another_o after_o this_o manner_n therefore_o it_o seem_v that_o if_o the_o water_n raise_v the_o mercury_n from_o c_o to_o e_z in_o the_o wide_a pipe_n it_o must_v raise_v it_o in_o the_o narrow_a one_o from_o d_o to_o k._n for_o answer_v consider_v first_o that_o as_o there_o be_v here_o two_o pillar_n of_o mercury_n c_o e_o and_o d_o g_z within_z the_o two_o tub_n so_o there_o be_v here_o also_o two_o pillar_n of_o mercury_n a_o p_o and_o b_o q_o under_o the_o two_o orifice_n upon_o which_o the_o say_v two_o pillar_n stand_v and_o rest_n consider_v second_o that_o the_o potentia_fw-la or_o force_n of_o the_o pillar_n a_o p_o be_v just_o equal_a to_o the_o pondus_fw-la of_o the_o pillar_n e_o c_o a_o item_n that_o the_o potentia_fw-la of_o the_o pillar_n b_o q_n be_v equal_a to_o the_o pondus_fw-la g_o d_o b._n three_o that_o the_o potentia_fw-la of_o a_o p._n be_v most_o exact_o equal_v to_o the_o potentia_fw-la of_o b_o q_o and_o the_o reason_n be_v because_o their_o top_n a_o and_o b_o be_v part_n of_o the_o same_o horizontal_a surface_n i_o say_v then_o if_o a_o p_o be_v equal_a to_o e_o c_o a_o and_o b_o qui_fw-fr equal_a to_o g_o d_o b_o and_o a_o p_o and_o b_o q_n equal_a among_o themselves_o then_o must_v e_o c_o at_fw-fr be_v equal_a to_o g_o d_o b._n the_o same_o water_n then_o do_v not_o counterpoise_v two_o body_n of_o different_a weight_n i_o grant_v e_o c_o a_o to_o be_v far_o heavy_a than_o g_o d_o b_o while_o they_o be_v weigh_v in_o a_o pair_n of_o scale_n but_o the_o one_o be_v not_o heavy_a than_o the_o other_o as_o they_o be_v weigh_v in_o this_o balance_n of_o nature_n from_o what_o be_v say_v we_o see_v first_o that_o in_o water_n there_o be_v a_o pressure_n and_o a_o considerable_a weight_n this_o be_v evident_a from_o the_o rise_n of_o the_o mercury_n we_o see_v second_o that_o fluids_n counterpoise_n one_o another_o only_o according_a to_o altitude_n three_o that_o when_o a_o light_a fluid_n press_v up_o a_o heavy_a there_o be_v no_o more_o press_v up_o of_o it_o than_o be_v the_o just_a weight_n of_o the_o press_a fluid_n because_o the_o mercury_n e_o c_o be_v just_a the_o weight_n of_o the_o water_n that_o press_v upon_o x_o y_o o._n that_o be_v to_o say_v the_o part_n of_o the_o surface_n c_o be_v no_o more_o press_v with_o the_o mercury_n e_o c_o than_o the_o part_n x_o be_v press_v with_o the_o water_n l_o z_o x._o four_o if_o mercury_n be_v 28_o time_n heavy_a than_o water_n only_o three_o inch_n will_v be_v press_v up_o if_o it_o be_v but_o seven_o time_n heavy_a the_o altitude_n will_v be_v at_o saint_n 12_o inch_n above_o c._n five_o it_o be_v as_o easy_a for_o a_o large_a part_n of_o a_o surface_n to_o sustain_v a_o large_a pillar_n as_o it_o be_v for_o a_o narrow_a part_n to_o sustain_v a_o narrow_a pillar_n because_o a_o p_o sustain_v e_o c_o a_o as_o easy_o as_o b_o qui_fw-fr sustain_v g_o d_o b._n sixthly_a that_o in_o fluids_n there_o be_v a_o pondus_fw-la and_o a_o potentia_fw-la as_o be_v clear_a from_o the_o potentia_fw-la of_o a_o p_o that_o sustain_v the_o pondus_fw-la of_o e_o c_o a._n the_o water_n likewise_o that_o sustain_v have_v a_o potentia_fw-la and_o the_o mercury_n e_o c_o be_v the_o pondus_fw-la of_o it_o seven_o that_o there_o be_v always_o equality_n of_o weight_n between_o the_o pondus_fw-la and_o the_o potentia_fw-la so_o be_v the_o potentia_fw-la of_o a_o p_o equal_a to_o the_o pondus_fw-la e_o c_o a._n eighthly_a that_o the_o pondus_fw-la beget_v the_o potentia_fw-la so_o the_o weight_n of_o the_o water_n beget_v the_o potentia_fw-la that_n in_o a_o p._n for_o make_v this_o water_n deep_o and_o you_o augment_v the_o potentia_fw-la of_o a_o p._n if_o you_o subtract_v from_o it_o the_o potentia_fw-la of_o a_o p_o grow_v less_o by_o proportion_n or_o the_o weight_n of_o e_o c_o a_o may_v be_v say_v to_o beget_v the_o potentia_fw-la of_o a_o p._n to_o proceed_v a_o little_a further_o let_v we_o suppose_v the_o air_n h_o e_z to_o be_v remove_v in_o this_o case_n the_o mercury_n rise_v 29_o inch_n high_o than_o e_z or_o 35_o above_o c_o even_o as_o high_a as_o s._n in_o the_o narrow_a tub_n it_o will_v climb_v up_o to_o k_o if_o you_o take_v away_o the_o air_n i_o g._n this_o come_v to_o pass_v by_o virtue_n of_o the_o pressure_n of_o the_o atmosphere_n that_o rest_v upon_o l_o n._n from_o this_o we_o gather_v ninthly_a that_o there_o be_v a_o counterpoise_n between_o the_o air_n h_o e_o and_o the_o weight_n of_o the_o air_n that_o rest_v upon_o l_o n_o and_o that_o a_o slender_a pillar_n of_o air_n be_v able_a to_o counterpoise_v a_o thick_a for_o h_n e_z be_v far_o narrow_a than_o l_o n._n ten_o that_o the_o pressure_n of_o the_o air_n can_v be_v communicate_v through_o divers_a kind_n of_o fluid_n because_o the_o weight_n that_o rest_v upon_o l_o n_o be_v send_v down_o through_o the_o water_n l_o z_o x_o and_o down_o through_o the_o stagnant_a mercury_n and_o thrust_v up_o the_o liquor_n from_o a_o to_o saint_n 35_o inch_n eleven_o that_o a_o light_a fluid_n may_v be_v make_v to_o press_v with_o great_a burden_n than_o a_o fluid_a natural_o heavy_a because_o the_o weight_n of_o the_o air_n upon_o l_o n_o raises_z 29_o inch_n of_o mercury_n but_o the_o water_n raise_v only_o six_o we_o see_v twelfthly_a that_o fluids_n have_v a_o sphere_n of_o activity_n to_o which_o they_o be_v able_a to_o press_v up_o themselves_o or_o fluid_n of_o different_a kind_n because_o first_o the_o stagnant_a mercury_n can_v raise_v itself_o no_o high_o within_o the_o pipe_n than_o it_o be_v without_o next_o the_o 84_o inch_n of_o water_n can_v raise_v the_o mercury_n no_o high_o than_o e._n last_o the_o weight_n of_o the_o atmosphere_n can_v raise_v the_o mercury_n no_o high_o than_o saint_n 29_o inch_n above_o e._n for_o another_o trial_n take_v out_o from_o among_o the_o water_n the_o two_o pipe_n and_o stop_v close_o the_o two_o under_o orifice_n fill_v they_o with_o mercury_n to_o the_o brim_n then_o thrust_v they_o down_o as_o before_o and_o open_v the_o say_v two_o orifice_n while_o they_o be_v below_o the_o surface_n x_o in_n o_o and_o you_o will_v find_v the_o whole_a cylinder_n fall_n down_o from_o h_n to_o e_z and_o there_o halt_v and_o the_o whole_a cylinder_n in_o the_o narrow_a pipe_n fall_v down_o from_o i_o to_o g._n or_o if_o you_o please_v before_o this_o be_v do_v stop_v close_o the_o orifice_n h_n and_o the_o orifice_n i_o and_o you_o will_v find_v the_o mercury_n go_v no_o further_o down_o than_o saint_n by_o open_v the_o orifice_n a_o and_o no_o further_o down_o than_o k_o by_o open_v the_o orifice_n b._n this_o lead_v we_o to_o a_o clear_a discovery_n of_o the_o reason_n why_o the_o mercury_n subside_v and_o sink_v down_o from_o the_o top_n of_o the_o tub_n in_o the_o baroscope_n to_o the_o 29_o inch_n whatever_o the_o diameter_n of_o the_o pipe_n be_v and_o this_o let_v we_o see_v that_o the_o mercurial_a cylinder_n be_v suspend_v by_o the_o air_n after_o the_o same_o manner_n that_o the_o mercury_n e_o c_o be_v suspend_v after_o and_o that_o there_o be_v no_o more_o difficulty_n in_o the_o one_o than_o in_o the_o other_o experiment_n xvii_o figure_n 23_o 24._o this_o schematism_n represent_v a_o water_n 30_o fathom_n deep_a under_o the_o first_o surface_n a_o there_o be_v six_o imaginary_a as_o b_o c_o d_o e_o f_o g_o every_o one_o whereof_o be_v five_o fathom_v below_o another_o there_o be_v here_o likewise_o two_o glass_n each_o one_o 12_o inch_n high_a and_o 5_o inch_n broad_a like_a unto_o these_o wherein_o wine_n sack_n or_o brandy_n be_v preserve_v the_o glass_n g_o m_o have_v its_o orifice_n g_z upward_o the_o other_o glass_n be_v complete_o open_v below_o without_o a_o narrow_a orifice_n for_o make_v experiment_n take_v a_o long_a chord_n as_o long_o as_o the_o water_n be_v in_o deepness_n and_o knit_v the_o end_n of_o it_o round_o about_o the_o neck_n of_o the_o glass_n at_o g._n take_v another_o line_n of_o the_o same_o length_n and_o
fasten_v it_o to_o the_o bottom_n of_o the_o other_o glass_n at_o l._n next_o for_o sink_v the_o two_o glass_n take_v two_o weight_n of_o lead_n and_o fasten_v the_o one_o to_o the_o bottom_n at_o m_n and_o the_o other_o to_o the_o open_a part_n of_o the_o glass_n at_o saint_n and_o t._n the_o two_o weight_n then_o be_v p_o and_o q_o each_o one_o of_o they_o about_o 10_o or_o 12_o pound_n weight_n these_o thing_n be_v do_v let_v first_o down_o the_o glass_n g_o m_o till_o the_o weight_n q_o sink_v it_o five_o fathom_n namely_o from_o a_o to_o b_o and_o if_o you_o pull_v it_o up_o you_o will_v find_v the_o bottom_n cover_v with_o water_n from_o m_n to_o i_o about_o four_o or_o five_o inch_n let_v it_o down_o next_o from_o a_o to_o c_o ten_o fathom_n and_o you_o will_v find_v more_o water_n in_o it_o even_o as_o much_o as_o fill_v it_o from_o m_n to_o 2_o about_o seven_o or_o eight_o inch_n in_o pass_v from_o c_o d_o the_o water_n rise_v from_o 2_o to_o 3._o if_o you_o sink_v it_o from_o d_o to_z e_z the_o water_n rise_v from_o 3_o to_o 4._o the_o water_n rise_v from_o 4_o to_z 5_o when_o the_o glass_n be_v come_v the_o length_n of_o f._n and_o last_o when_o the_o glass_n be_v at_o g_o the_o low_a fathom_n the_o water_n be_v as_o high_a as_o k._n let_v down_o next_o the_o other_o glass_n from_o a_o to_o b_o and_o you_o will_v find_v the_o water_n rise_v in_o it_o from_o h_n to_o i_o four_o or_o five_o inch_n as_o in_o the_o other_o glass_n in_o go_v down_o from_o b_o to_z c_z it_z rises_z from_o 1_o to_o 2._o from_o c_z to_z d_o it_z rises_z from_o 2_o to_o 3._o from_o d_o to_z e_z it_z rises_z from_o 3_o to_z 4_o and_o so_o forward_o till_o the_o glass_n come_v to_o the_o low_a fathom_n where_o the_o water_n rise_v as_o high_a as_o i._n there_o be_v here_o several_a phenomena_n to_o be_v consider_v first_o that_o the_o water_n creep_v in_o at_o the_o orifice_n g_o and_o fill_v the_o under_o part_n of_o the_o glass_n from_o m_n to_o k._n second_o that_o not_o one_o particle_n of_o air_n come_v out_o all_o the_o time_n the_o water_n be_v in_o go_v in_o three_o that_o this_o air_n be_v compress_v from_o m_n to_o k_o nine_o inch_n last_o that_o the_o ingress_n of_o the_o water_n be_v according_a to_o unequal_a proportion_n because_o while_o the_o glass_n pass_v from_o a_o to_o b_o more_z water_n creep_v in_o at_o g_o and_o fill_v the_o bottom_n then_o in_o pass_v from_o b_o to_z c._n and_o more_o in_o go_v down_o from_o b_o to_z g_z than_o in_o go_v down_o from_o c_o to_o d_o as_o be_v clear_a from_o the_o unequal_a division_n 1_o 2_o 3_o 4_o 5_o 6_o for_o understand_v the_o reason_n of_o the_o first_o remember_v that_o in_o this_o deep_a water_n there_o be_v a_o pressure_n and_o that_o this_o pressure_n grow_v as_o the_o water_n grow_v in_o deepness_n it_o be_v then_o by_o virtue_n of_o this_o that_o the_o water_n creep_v in_o and_o fill_v the_o bottom_n of_o the_o vessel_n for_o in_o effect_n every_o part_n be_v under_o a_o burden_n and_o be_v therefore_o desirous_a to_o liberat_fw-la themselves_z from_o it_o they_o take_v occasion_n to_o thrust_v in_o themselves_o find_v as_o it_o be_v more_o ease_n here_o than_o without_o the_o air_n within_o the_o glass_n be_v under_o less_o pressure_n than_o the_o water_n without_o the_o second_o phenomenon_n be_v cause_v by_o the_o straitness_n and_o narrowness_n of_o the_o hole_n g_o for_o this_o entry_n be_v no_o wide_o than_o the_o thickness_n of_o a_o sack-needle_n the_o air_n can_v go_v out_o while_o the_o water_n be_v come_v in_o that_o be_v the_o passage_n be_v so_o straight_o that_o the_o one_o can_v go_v by_o the_o other_o this_o lead_v we_o to_o the_o reason_n of_o the_o three_o for_o if_o not_o one_o particle_n of_o air_n go_v out_o all_o the_o while_n the_o glass_n be_v in_o go_v down_o then_o sure_o the_o water_n fill_v between_o m_n and_o k_o must_v compress_v the_o air_n and_o reduce_v it_o from_o twelve_o inch_n to_o three_o but_o the_o great_a difficulty_n be_v why_o the_o ingress_n of_o the_o water_n be_v according_a to_o unequal_a proportion_n for_o understand_v this_o consider_v that_o this_o inequality_n be_v not_o cause_v by_o any_o unequal_a pressure_n that_o be_v in_o the_o water_n for_o if_o this_o be_v true_a then_o there_o ought_v to_o be_v less_o pressure_n in_o the_o surface_n f_o than_o in_o the_o surface_n e_o and_o less_o in_o e_o than_z in_o d_o which_o be_v false_a and_o absurd_a this_o inequality_n then_o must_v flow_v from_o the_o nature_n of_o the_o air_n itself_o that_o natural_o suffer_v compression_n after_o such_o a_o manner_n it_o be_v evident_a from_o the_o compression_n of_o air_n in_o wind-gun_n for_o less_o force_n be_v require_v to_o compress_v the_o first_o span_n than_o to_o compress_v the_o second_o or_o contrariwise_o more_o strength_n be_v require_v to_o compress_v the_o three_o span_n than_o the_o second_o more_o to_o compress_v the_o four_o than_o the_o three_o and_o so_o forth_o it_o be_v evident_a in_o all_o body_n endow_v with_o bensil_n as_o in_o the_o spring_n of_o a_o watch_n that_o require_v more_o strength_n to_o bend_v it_o in_o the_o end_n than_o in_o the_o beginning_n for_o a_o second_o trial_n pull_v up_o from_o the_o bottom_n of_o the_o water_n the_o glass_n l_o i_o h_o and_o when_o it_o come_v above_o you_o will_v find_v nothing_o in_o it_o the_o reason_n be_v because_o the_o vessel_n be_v open_a between_o t_n and_o s_o the_o whole_a water_n i_o h_n falls_z down_z by_o degree_n but_o in_o effect_n be_v real_o thrust_v out_o by_o the_o strong_a bensil_n of_o the_o compress_a air_n i_o l_o that_o now_o expand_v itself_o when_o it_o find_v the_o glass_n go_v up_o through_o the_o water_n who_o pressure_n be_v less_o and_o less_o from_o the_o bottom_n to_o the_o top_n but_o the_o contrary_a effect_n follow_v when_o the_o other_o glass_n be_v pull_v up_o namely_o the_o water_n remain_v within_o the_o glass_n and_o the_o air_n above_o it_o be_v thrust_v out_o by_o degree_n as_o the_o glass_n come_v near_a to_o the_o top_n for_o understand_v the_o reason_n of_o this_o consider_v first_o that_o while_o the_o orifice_n g_o be_v level_a with_o the_o low_a surface_n where_o it_o now_o be_v that_o be_v suppose_v to_o be_v 30_o fathom_n deep_a there_o be_v a_o real_a counterpoise_n between_o the_o enclose_a air_n g_o k_n and_o the_o ambient_fw-la water_n without_o for_o with_o what_o force_n the_o one_o strive_v to_o be_v in_o with_o the_o same_o force_n the_o other_o endeavour_n to_o be_v out_o and_o because_o they_o be_v in_o equal_a term_n therefore_o the_o one_o can_v yield_v to_o the_o other_o if_o you_o please_v to_o give_v the_o victory_n to_o the_o water_n then_o let_v the_o glass_n go_v further_o down_o but_o if_o you_o desire_v the_o air_n to_o overcome_v then_o must_v the_o glass_n be_v pull_v up_o pull_v it_o then_o up_o from_o the_o place_n it_o be_v in_o till_o it_o come_v to_o f_o and_o you_o will_v find_v a_o considerable_a quantity_n of_o air_n come_v out_o at_o g_o and_o after_o 2_o or_o 3_o minute_n of_o time_n emerge_n and_o come_v to_o the_o top_n a_o in_o form_n of_o round_a bell_n or_o bubble_n the_o deepness_n and_o groseness_n of_o the_o water_n through_o which_o the_o bubble_n come_v make_v their_o motion_n so_o slow_a the_o reason_n of_o this_o eruption_n must_v be_v less_o pressure_n of_o water_n in_o the_o surface_n f_o than_o in_o the_o low_a g_z from_o whence_o the_o glass_n come_v suppose_v then_o the_o low_a to_o have_v six_o degree_n of_o pressure_n f_o to_o have_v five_o e_z to_z have_v four_o d_o three_z c_z two_o and_o b_o to_o have_v one_o and_o suppose_v the_o enclose_a air_n k_o g_o to_o be_v equal_a in_o force_n to_o the_o pressure_n of_o the_o low_a fathom_n it_o must_v then_o have_v six_o degree_n of_o bensil_n in_o it_o put_v the_o case_n then_o that_o with_o six_o degree_n of_o bensil_n it_o come_v to_o the_o surface_n f_o that_o have_v but_o five_o it_o must_v sure_o break_v forth_o and_o overcome_v the_o force_n and_o power_n of_o that_o surface_n for_o it_o be_v impossible_a that_o two_o fluid_n can_v be_v unequal_a in_o force_n and_o power_n but_o the_o strong_a must_v overcome_v and_o the_o weak_a yield_v therefore_o when_o the_o orifice_n come_v to_o f_o the_o air_n be_v strong_a than_o the_o water_n break_v forth_o and_o as_o long_o do_v this_o eruption_n continue_v as_o inequality_n of_o power_n continue_v between_o the_o one_o and_o the_o other_o in_o pull_v up_o the_o glass_n from_o f_o to_o e_z other_z five_z fathom_n more_o
air_n come_v out_o the_o reason_n be_v the_o same_o namely_o less_o pressure_n in_o e_z than_o in_o f_o therefore_o when_o the_o enclose_a air_n that_o have_v five_o degree_n of_o bensil_n come_v to_o e_o that_o have_v but_o four_o it_o must_v overcome_v and_o so_o long_o must_v it_o be_v victorious_a till_o by_o expand_v itself_o it_o be_v reduce_v to_o the_o bensil_n of_o four_o in_o pull_v up_o the_o glass_n from_o e_z to_z d_o more_z air_n yet_o break_v out_o because_o a_o surface_n of_o three_o degree_n of_o pressure_n be_v not_o able_a to_o resist_v four_o degree_n of_o bensil_n in_o pass_v from_o d_o to_z c_z more_z air_n come_v yet_o out_o for_o the_o same_o reason_n till_o in_o go_v up_o to_o the_o top_n where_o there_o be_v no_o pressure_n no_o more_o air_n break_v out_o it_o be_v to_o be_v observe_v first_o that_o the_o motion_n of_o the_o air_n up_o through_o the_o water_n be_v but_o slow_a the_o medium_n be_v thick_a and_o gross_a second_o that_o if_o the_o glass_n be_v pull_v up_o quick_o from_o one_o surface_n to_o another_o or_o contrariwise_o let_v down_o quick_o it_o present_o break_v in_o piece_n this_o come_v to_o pass_v through_o the_o strong_a bensil_n of_o the_o enclose_a air_n that_o must_v have_v time_n to_o expand_v itself_o otherwise_o it_o break_v out_o at_o the_o near_a for_o it_o be_v of_o six_o degree_n of_o bensil_n and_o come_v quick_o to_o a_o surface_n of_o five_o there_o happen_v a_o unequal_a pressure_n the_o side_n of_o the_o glass_n be_v thrust_v out_o with_o great_a force_n than_o they_o be_v thrust_v in_o with_o but_o if_o so_o be_v the_o glass_n move_v slow_o up_o the_o enclose_a air_n get_v time_n to_o thrust_v itself_o out_o by_o degree_n so_o that_o whatever_o surface_n the_o glass_n come_v to_o there_o be_v little_a difference_n between_o the_o pressure_n of_o the_o water_n and_o the_o bensil_n of_o the_o air._n the_o reason_n why_o the_o glass_n break_v in_o piece_n while_o it_o go_v quick_o down_o be_v likeways_o unequal_a pressure_n upon_o the_o side_n for_o in_o pass_v quick_o from_o a_o surface_n of_o five_o degree_n to_o a_o surface_n of_o six_o the_o side_n be_v press_v in_o with_o great_a force_n than_o they_o be_v press_v out_o with_o and_o the_o reason_n be_v because_o through_o the_o straitness_n of_o the_o hole_n g_o the_o water_n can_v win_v in_o soon_o enough_o to_o make_v as_o much_o pressure_n within_o as_o there_o be_v without_o it_o be_v to_o be_v observe_v three_o that_o if_o the_o orifice_n g_o be_v stop_v before_o that_o the_o glass_n be_v send_v down_o it_o will_v not_o go_v beyond_o three_o or_o four_o fathom_n when_o it_o shall_v be_v break_v in_o piece_n though_o the_o motion_n be_v never_o so_o slow_a and_o this_o come_v to_o pass_v through_o the_o strong_a pressure_n of_o the_o water_n four_o the_o strong_a the_o glass_n be_v in_o the_o side_n it_o go_v the_o further_o down_o without_o break_v therefore_o a_o round_a glass_n bottle_n will_v sink_v 20_o or_o 30_o fathom_n before_o that_o it_o be_v break_v with_o the_o pressure_n of_o the_o water_n if_o a_o vessel_n of_o iron_n be_v send_v down_o it_o ought_v to_o go_v much_o further_o a_o empty_a cask_n or_o hogshead_n will_v not_o sink_v beyond_o seven_o or_o eight_o fathom_n without_o break_v or_o burst_v yet_o a_o bladder_n full_a of_o wind_n knit_v about_o the_o neck_n with_o a_o packthread_n will_v go_v down_o 100_o fathom_n yea_o 1000_o without_o burst_v it_o may_v be_v here_o inquire_v what_o sort_n of_o proportion_n be_v keep_v by_o the_o unequal_a ingress_n of_o the_o water_n i_o answer_v it_o may_v be_v know_v after_o this_o manner_n let_v first_o down_o the_o glass_n one_o fathom_n and_o have_v pull_v it_o up_o again_o measure_v the_o deepness_n of_o the_o water_n in_o the_o bottom_n of_o it_o next_o have_v pour_v out_o that_o water_n let_v it_o down_o two_o fathom_n and_o pull_v it_o up_o measure_v the_o deepness_n which_o you_o will_v find_v more_o than_o afore_o do_v after_o this_o manner_n the_o three_o time_n and_o the_o four_o time_n till_o you_o come_v to_o the_o low_a fathom_n and_o you_o will_v find_v the_o true_a proportion_n from_o what_o be_v say_v we_o see_v first_o that_o in_o water_n there_o be_v a_o pressure_n because_o through_o the_o force_n and_o power_n of_o this_o water_n the_o 12_o inch_n of_o air_n that_o fill_v the_o glass_n be_v reduce_v to_o three_o second_o that_o this_o pressure_n grow_v as_o the_o water_n grow_v in_o deepness_n because_o there_o be_v more_o pressure_n in_o b_o than_o in_o a_o more_o in_o c_o than_z in_o b_o and_o io_n downward_o three_o that_o when_o air_n be_v compress_v by_o some_o extrinseck_n weight_n the_o bensil_n be_v intend_v and_o grow_v strong_a by_o unequal_a proportion_n as_o be_v clear_a from_o the_o unequal_a division_n 1_o 2_o 2_o 4_o 5_o 6._o four_o two_o fluid_n can_v cease_v from_o motion_n so_o long_o as_o the_o potentia_fw-la of_o the_o one_o be_v unequal_a to_o the_o pondu_n of_o the_o other_o this_o be_v evident_a from_o the_o water_n be_v creep_v in_o at_o g_o all_z the_o while_o the_o glass_n be_v in_o go_v down_o and_o from_o the_o air_n be_v come_v out_o all_o the_o while_n the_o glass_n be_v in_o come_v up_o five_o that_o no_o soon_o two_o fluids_n come_v to_o equality_n of_o weight_n but_o as_o soon_o the_o motion_n end_v because_o if_o the_o glass_n halt_v at_o d_o e_o or_o f_o in_o the_o go_n down_o upon_o which_o follow_v a_o counterpoise_n then_o do_v the_o creep_a in_o of_o the_o water_n cease_v six_o there_o may_v be_v as_o much_o pressure_n in_o a_o small_a quantity_n of_o a_o fluid_a as_o in_o the_o great_a because_o there_o be_v as_o much_o bensil_n in_o the_o small_a portion_n of_o air_n include_v between_o k_o and_o g_o as_o there_o be_v of_o pressure_n and_o weight_n in_o this_o whole_a water_n that_o be_v 30_o fathom_n deep_a seven_o that_o the_o pressure_n of_o a_o fluid_a be_v a_o thing_n real_o distinct_a from_o the_o natural_a weight_n this_o be_v evident_a from_o the_o pressure_n of_o the_o enclose_a air_n g_o k_n that_o be_v more_o and_o less_o as_o the_o pressure_n of_o the_o water_n k_o m_o be_v more_o and_o less_o but_o the_o natural_a weight_n be_v still_o the_o same_o see_v the_o same_o quantity_n remain_v eight_o one_o part_n of_o a_o fluid_a can_v be_v under_o pressure_n but_o the_o next_o adjacent_a must_v be_v under_o the_o same_o degree_n of_o pressure_n this_o be_v also_o clear_a because_o what_o ever_o degree_n of_o bensil_n the_o include_v air_n k_o g_o be_v under_z the_o water_n k_o m_o be_v under_o the_o same_o therefore_o when_o the_o one_o be_v under_o six_o as_o in_o the_o low_a fathom_n the_o other_o be_v under_o six_o likewise_o and_o when_o the_o one_o be_v under_o five_o degree_n of_o pressure_n as_o in_o the_o surface_n f_o the_o other_o be_v under_o as_o much_o nine_o bensil_n and_o pressure_n be_v equivalent_a to_o weight_n because_o the_o water_n k_o m_o be_v as_o much_o burden_v with_o the_o bensil_n of_o that_o small_a portion_n of_o air_n above_o it_o as_o if_o it_o have_v a_o pillar_n of_o water_n 30_o fathom_n high_a upon_o it_o ten_o that_o the_o pressure_n of_o fluids_n be_v most_o uniform_a and_o equal_a and_o that_o two_o fluid_n of_o different_a kind_n may_v press_v as_o uniform_o as_o if_o they_o be_v but_o one_o this_o be_v evident_a from_o the_o side_n of_o the_o glass_n that_o be_v not_o break_v in_o piece_n by_o the_o strong_a bensil_n of_o the_o enclose_a air_n and_o heavy_a pressure_n of_o the_o enclose_a water_n and_o this_o happen_v because_o the_o pressure_n without_o be_v as_o strong_a as_o the_o pressure_n within_o we_o see_v last_o that_o water_n do_v not_o weigh_v in_o water_n because_o when_o a_o man_n let_v down_o this_o glass_n by_o the_o chord_n to_o the_o low_a surface_n he_o find_v not_o the_o weight_n of_o the_o water_n k_o m_o that_o be_v within_o the_o glass_n but_o only_o the_o weight_n of_o the_o lead_n q._n it_o be_v certain_a he_o find_v not_o 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string_n the_o other_o end_n be_v fasten_v to_o a_o balance_n in_o the_o air_n gravitat_n and_o weigh_v down_o the_o scale_n and_o the_o reason_n be_v because_o lead_v and_o gold_n be_v natural_o and_o specifical_o heavy_a than_o water_n but_o a_o piece_n of_o metal_n of_o the_o same_o specific_a weight_n with_o water_n or_o water_n itself_o can_v gravitat_fw-la in_fw-la water_n or_o weigh_v down_o the_o scale_n of_o a_o balance_n and_o the_o reason_n be_v because_o the_o surface_n of_o water_n upon_o which_o they_o rest_v bear_v they_o up_o with_o as_o great_a weight_n and_o force_n as_o they_o press_v down_o with_o if_o it_o be_v say_v that_o the_o water_n k_o m_o rest_v upon_o the_o bottom_n of_o the_o glass_n within_o and_o therefore_o if_o the_o man_n above_o find_v the_o weight_n of_o the_o glass_n he_o must_v find_v the_o weight_n of_o the_o water_n within_o it_o i_o answer_v the_o consequence_n be_v bad_a because_o the_o weight_n of_o the_o water_n within_o be_v sustain_v and_o 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1669._o numb_a 50_o the_o invention_n whereof_o be_v attribute_v by_o the_o publisher_n to_o that_o honourable_a and_o worthy_a person_n mr._n boyl_n who_o conclusion_n and_o trial_n i_o never_o much_o call_v in_o question_n but_o find_v this_o opposite_a and_o contrary_a to_o what_o i_o have_v demonstrate_v i_o shall_v crave_v liberty_n to_o say_v amicus_fw-la socrates_n amicus_fw-la plato_n sed_fw-la magis_fw-la amica_fw-la veritas_fw-la and_o shall_v therefore_o examine_v it_o as_o brief_o as_o may_v be_v the_o word_n of_o the_o publisher_n be_v as_o follow_v the_o author_n of_o this_o invention_n be_v the_o noble_a robert_n boyl_n who_o be_v please_v to_o comply_v with_o our_o desire_n of_o communicate_v it_o in_o english_a to_o the_o curious_a in_o england_n as_o by_o insert_v the_o same_o in_o the_o latin_a translation_n of_o his_o hydrostatical_a paradox_n he_o have_v gratify_v the_o ingenious_a abroad_o and_o it_o will_v doubtless_o be_v the_o more_o welcome_a for_o as_o much_o as_o no_o body_n we_o know_v of_o have_v so_o much_o as_o attempt_v to_o determine_v how_o much_o water_n may_v weigh_v in_o water_n and_o possible_o if_o such_o a_o problem_n have_v be_v propose_v it_o will_v have_v be_v judge_v impracticable_a the_o method_n or_o expedient_a he_o make_v use_v of_o to_o perform_v it_o as_o near_o as_o he_o can_v may_v easy_o be_v learn_v by_o the_o ensue_a account_n of_o a_o trial_n or_o two_o he_o make_v for_o that_o purpose_n which_o among_o his_o note_n he_o cause_v to_o be_v register_v in_o the_o follow_a word_n a_o glass-bubble_n of_o about_o the_o bigness_n of_o a_o pullet_n egg_n be_v purposely_o blow_v at_o the_o flame_n of_o a_o lamp_n with_o a_o somewhat_o long_o stem_v turn_v up_o at_o the_o end_n that_o it_o may_v the_o more_o convenient_o be_v break_v off_o this_o bubble_n be_v well_o heat_v to_o rarify_v the_o air_n and_o thereby_o drive_v out_o a_o good_a part_n of_o it_o be_v nimble_o seal_v at_o the_o end_n and_o by_o the_o help_n of_o the_o figure_n of_o the_o stem_n be_v by_o a_o convenient_a weight_n of_o lead_n depress_v under_o water_n the_o lead_n and_o glass_n be_v tie_v by_o a_o string_n to_o a_o scale_n of_o a_o good_a balance_n in_o who_o other_o there_o be_v put_v so_o much_o weight_n as_o suffice_v to_o counterpoise_v the_o bubble_n as_o it_o hang_v free_o in_o the_o midst_n of_o the_o water_n then_o with_o a_o long_a iron_n forceps_fw-la i_o careful_o break_v off_o the_o seal_a end_n of_o the_o bubble_n under_o water_n so_o as_o no_o bubble_n of_o air_n appear_v to_o emerge_n or_o escape_n through_o the_o water_n but_o the_o liquor_n by_o the_o weight_n of_o the_o atmosphere_n spring_v into_o the_o unreplenished_a part_n of_o the_o glass-bubble_n and_o fill_v the_o whole_a cavity_n about_o half_a full_a and_o present_o as_o i_o foretell_v the_o bubble_n subside_v and_o make_v the_o scale_n it_o be_v fasten_v to_o preponderate_a so_o much_o that_o there_o need_v 4_o drachm_n and_o 38_o grain_n to_o 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the_o same_o day_n we_o repeat_v the_o experiment_n with_o another_o seal_a bubble_n large_a than_o the_o former_a be_v as_o big_a as_o a_o great_a hens-egg_n and_o have_v break_v this_o under_o water_n it_o grow_v heavy_a by_o 7._o drachm_n and_o 34_o grain_n and_o have_v take_v out_o the_o bubble_n and_o drive_v out_o the_o water_n into_o a_o counter_a poise_v glass_n we_o find_v the_o transvasated_a liquor_n to_o amount_v to_o the_o same_o weight_n abate_v 6_o or_o 7_o grain_n which_o it_o may_v well_o have_v lose_v upon_o such_o account_n as_o have_v be_v new_o mention_v thus_o he_o figure_n 24._o the_o design_n then_o of_o this_o experiment_n be_v to_o prove_v that_o water_n weigh_v in_o water_n but_o it_o seem_v there_o be_v here_o a_o very_a great_a mistake_n which_o i_o shall_v make_v out_o after_o this_o manner_n for_o which_o cause_n let_v this_o schematism_n 24_o represent_v the_o experiment_n already_o describe_v the_o â—lass-bubble_n than_o be_v e_o p_o f_o r._n the_o stem_n be_v h_n c_o the_o weight_n that_o sink_v the_o glass_n be_v b._n the_o surface_n of_o water_n under_o which_o it_o be_v drown_v be_v a_o d._n the_o balance_n to_o which_o the_o glass_n be_v knit_v by_o a_o string_n be_v n_o o._n and_o last_o e_o f_o r_o be_v the_o water_n that_o come_v in_o and_o fill_v the_o half_a of_o the_o bubble_n now_o i_o say_v it_o be_v not_o the_o weight_n of_o the_o water_n e_o f_o r_o that_o turn_v the_o scale_n above_o and_o make_v a_o alteration_n in_o the_o balance_n but_o '_o its_o only_a the_o weight_n of_o the_o lead_n b_o that_o do_v it_o for_o evince_v this_o consider_v that_o all_o heavy_a body_n be_v either_o light_a in_o specie_fw-la than_o water_n
not_o one_o part_n of_o the_o man_n body_n that_o weigh_v within_o the_o ark_n or_o make_v it_o heavy_a yet_o i_o affirm_v that_o when_o the_o man_n body_n be_v within_o the_o ark_n a_o less_o weight_n will_v sink_v it_o then_o when_o his_o body_n be_v out_o of_o it_o even_o as_o much_o less_o than_o before_o as_o be_v the_o just_a weight_n of_o the_o one_o half_a of_o the_o man_n for_o example_n if_o 1680_o pound_n be_v the_o just_a counterpoise_n of_o it_o without_o the_o man_n then_o after_o the_o man_n be_v in_o it_o it_o will_v take_v only_o 1568_o pound_n to_o counterbalance_v it_o suppose_v the_o one_o half_a of_o the_o man_n to_o weigh_v 112_o pound_n or_o seven_o stone_n yet_o it_o be_v not_o the_o weight_n of_o the_o man_n that_o make_v this_o difference_n for_o understanding_n what_o be_v the_o cause_n of_o this_o alteration_n consider_v that_o when_o a_o man_n body_n be_v within_o the_o ark_n there_o be_v less_o air_n in_o it_o then_o while_o his_o body_n be_v out_o of_o it_o even_o as_o much_o less_o in_o quantity_n as_o the_o bulk_n of_o the_o part_n be_v that_o be_v within_o if_o this_o be_v then_o must_v the_o ark_n become_v heavy_a not_o because_o the_o man_n body_n make_v it_o heavy_a but_o because_o there_o be_v less_o air_n in_o the_o ark_n than_o before_o and_o therefore_o there_o arise_v a_o inequality_n between_o the_o weight_n of_o the_o footstool_n and_o the_o weight_n or_o rather_o lightness_n of_o the_o ark._n for_o if_o 1680_o pound_n of_o lead_n be_v the_o just_a counterbalance_n of_o it_o when_o it_o have_v 30_o cubique_fw-la foot_n of_o air_n within_o it_o it_o must_v exceed_v when_o there_o be_v less_o air_n in_o it_o but_o there_o occure_v here_o two_o difficulty_n the_o first_o be_v what_o be_v the_o reason_n why_o as_o much_o weight_n must_v be_v deduce_v from_o the_o footstool_n as_o be_v the_o the_o precise_a weight_n of_o the_o one_o half_a of_o the_o man_n second_o how_o shall_v we_o come_v to_o the_o true_a knowledge_n of_o that_o weight_n that_o be_v to_o know_v distinct_o how_o many_o pound_n or_o ounce_n it_o be_v of_o for_o answer_v let_v we_o suppose_v that_o the_o one_o half_a of_o the_o man_n be_v just_a as_o heavy_a as_o so_o much_o water_n equal_a in_o bulk_n to_o his_o own_o half_a this_o may_v be_v grant_v without_o scruple_n see_v a_o man_n body_n be_v judge_v to_o be_v of_o the_o same_o specific_a and_o natural_a weight_n with_o water_n and_o though_o there_o shall_v be_v some_o small_a difference_n yet_o it_o will_v not_o make_v or_o produce_v any_o insufficiency_n in_o the_o argument_n for_o these_o demonstration_n be_v not_o mathematical_a but_o physical_a therefore_o as_o much_o water_n in_o bulk_n as_o be_v equal_a to_o that_o part_n of_o the_o man_n that_o be_v within_o the_o ark_n must_v be_v as_o heavy_a as_o the_o half_a of_o the_o man_n now_o suppose_v the_o half_a of_o the_o man_n to_o weigh_v 112_o pound_n and_o consequent_o that_o water_n to_o weigh_v as_o much_o i_o affirm_v the_o say_a water_n to_o contain_v 3456_o cubique_fw-la inch_n but_o 3456_o cubique_fw-la inch_n make_v exact_o two_o cubique_fw-la foot_n which_o i_o gather_v thus_o seven_o pound_n of_o water_n require_v 216_o cubique_fw-la inch_n because_o a_o cube_n of_o six_o inch_n weigh_v exact_o seven_o pound_n therefore_o according_a to_o the_o rule_n of_o proportion_n 112_o pound_n will_v require_v 3456_o inch_n which_o amount_v to_o two_o cubique_fw-la foot_n the_o ark_n then_o by_o receive_v the_o one_o half_a of_o the_o man_n body_n lose_v two_o cubique_fw-la foot_n of_o air_n therefore_o if_o 30_o foot_n of_o air_n require_v 1680_o pound_n weight_n of_o lead_n to_o counterpoise_v it_o 28_o foot_n of_o air_n must_v require_v only_o 1568_o pound_n therefore_o to_o make_v a_o new_a counterbalance_n you_o must_v deduce_v 112_o pound_n from_o the_o footstool_n this_o answer_v both_o the_o difficulty_n if_o it_o be_v say_v that_o the_o footstool_n weigh_v less_o in_o water_n than_o in_o air_n therefore_o it_o must_v be_v heavy_a than_o 1680_o pound_n i_o answer_v it_o be_v needful_a to_o abstract_n from_o that_o difference_n till_o the_o just_a calculation_n be_v once_o make_v and_o that_o be_v now_o do_v i_o say_v that_o a_o cube_n of_o lead_n 16_o inch_n weigh_v 1680_o pound_n if_o lead_v be_v 13_o time_n heavy_a than_o water_n will_v lose_v about_o 130_o pound_n the_o reason_n be_v evident_a because_o a_o heavy_a body_n weigh_v as_o much_o less_o in_o water_n than_o in_o air_n as_o be_v the_o weight_n of_o the_o water_n it_o expel_v but_o so_o it_o be_v that_o a_o cube_n of_o lead_n of_o 16_o inch_n expel_v a_o cube_n of_o water_n 16_o inch_n but_o a_o cube_n of_o water_n 16_o inch_n weigh_v 130_o pound_n which_o i_o gather_v thus_o 216_o inch_n or_o a_o cube_n of_o six_o inch_n weigh_v seven_o pound_n therefore_o 4032_o inch_n must_v weigh_v 130_o pound_n for_o if_o 216_o give_v 7,4032_o must_v give_v 130._o but_o to_o return_v though_o there_o be_v small_a difficulty_n to_o let_v it_o down_o and_o to_o sink_v it_o 20_o or_o 30_o fathom_n yet_o there_o be_v no_o small_a difficulty_n to_o pull_v it_o up_o again_o and_o the_o reason_n be_v this_o because_o the_o further_a down_o it_o go_v the_o air_n within_o be_v the_o more_o contract_v and_o thrust_v up_o by_o the_o pressure_n of_o the_o water_n towards_o the_o roof_n by_o this_o mean_n though_o near_o the_o top_n of_o the_o water_n there_o be_v little_a difference_n between_o the_o weight_n of_o the_o lead_n and_o the_o ark_n yet_o 9_o or_o 10_o fathom_n down_o the_o difference_n be_v great_a the_o weight_n of_o the_o one_o far_o exceed_v the_o weight_n of_o the_o other_o and_o therefore_o there_o must_v be_v great_a difficulty_n to_o pull_v it_o up_o from_o 10_o fathom_n than_o from_o 5_o and_o yet_o more_o difficulty_n from_o 20_o than_o from_o 10._o however_o yet_o it_o be_v observable_a that_o as_o the_o ark_n in_o go_v down_o become_v heavy_a and_o heavy_a so_o in_o come_v up_o it_o grow_v light_a and_o light_a therefore_o less_o strength_n be_v require_v in_o pull_v it_o up_o from_o the_o ten_o to_o the_o five_o fathom_n than_o from_o the_o fifteen_o to_o the_o ten_o the_o reason_n be_v because_o in_o come_v up_o the_o air_n within_o expand_n itself_o and_o fill_v more_o space_n in_o the_o ark_n which_o in_o effect_n make_v it_o light_a and_o more_o able_a to_o overcome_v the_o weight_n of_o the_o lead_n to_o make_v these_o thing_n more_o evident_a let_v we_o suppose_v that_o when_o the_o ark_n be_v down_o 18_o or_o 20_o fathom_n the_o air_n to_o be_v contract_v by_o the_o force_n of_o the_o water_n from_o l_o m_o to_o p_o qui_fw-fr 12_o inch_n next_o that_o the_o weight_n of_o the_o footstool_n be_v 1680_o pound_n now_o if_o this_o weight_n be_v the_o just_a counterpoise_n of_o the_o ark_n at_o the_o top_n of_o the_o water_n then_o sure_o it_o must_v far_o exceed_v it_o now_o when_o it_o be_v 20_o fathom_n down_o because_o the_o air_n that_o be_v 30_o foot_n be_v now_o 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age_n have_v reject_v the_o old_a opinion_n of_o the_o earth_n nourish_v of_o plant_n or_o be_v convert_v into_o their_o aliment_n have_v make_v many_o laudable_a experiment_n for_o find_v out_o the_o material_n and_o mean_n of_o their_o growth_n and_o vegetation_n such_o as_o sir_n francis_n bacon_n observe_v of_o germination_n helmont_n of_o a_o willow_n and_o the_o noble_a mr._n boyl_n of_o a_o gourd_n etc._n etc._n for_o though_o a_o tree_n be_v cut_v down_o and_o the_o root_n thereof_o wax_v old_a in_o the_o earth_n and_o the_o stock_n die_v in_o the_o ground_n yet_o through_o the_o send_v of_o water_n it_o will_v bud_v as_o job_n speak_v chap._n 14._o 7_o 8_o 9_o i_o shall_v add_v a_o short_a remark_n of_o a_o willow_n grow_v without_o earth_n upon_o the_o 13_o of_o april_n 1662._o i_o set_v a_o top_n branch_n of_o the_o peach-leafed_a willow_n in_o a_o glass-viol_n among_o 12_o ounce_n of_o pure_a spring_n water_n with_o three_o small_a bud_n upon_o the_o top_n thereof_o scarce_o yet_o discernible_a the_o first_o ten_o or_o twelve_o day_n little_a white_a speck_n appear_v upon_o the_o side_n of_o the_o willow_n like_o small_a drop_n of_o quicksilver_n or_o like_o the_o first_o bubble_n that_o arise_v upon_o the_o fermentation_n of_o ale_n or_o wine_n but_o no_o consumption_n of_o the_o water_n all_o this_o time_n indeed_o the_o gem_n which_o stand_v three_o inch_n above_o the_o water_n do_v visible_o swell_v about_o the_o twelve_o day_n about_o the_o fifteen_o day_n i_o perceive_v small_a white_a root_n within_o the_o water_n upon_o several_a place_n of_o the_o plant_n and_o observe_v the_o liquor_n grow_v somewhat_o thick_a and_o decay_v in_o bulk_n considerable_o have_v perceive_v this_o i_o take_v another_o glass_n of_o the_o same_o bigness_n with_o that_o wherein_o the_o willow_n grow_v and_o have_v fill_v both_o topful_a with_o spring_n water_n i_o observe_v clear_o the_o consumption_n of_o the_o water_n wherein_o the_o plant_n stand_v to_o be_v so_o great_a that_o during_o may_n june_n and_o a_o great_a part_n of_o july_n every_o week_n at_o least_o a_o ounce_n and_o a_o half_a or_o two_o ounce_n of_o it_o be_v insensible_o spend_v whereas_o the_o other_o water_n stand_v by_o in_o a_o open_a vessel_n of_o the_o same_o size_n make_v not_o waste_v of_o one_o spoonful_n in_o a_o whole_a month_n about_o the_o middle_n of_o august_n the_o water_n turn_v very_o thick_a and_o green_a like_o that_o whereon_o duck-weed_n use_v to_o grow_v and_o the_o fair_a white_a root_n be_v all_o obscure_v from_o the_o sight_n although_o the_o vessel_n by_o the_o multitude_n of_o root_n be_v not_o capable_a of_o the_o three_o part_n of_o water_n it_o receive_v at_o first_o at_o this_o time_n the_o branch_n be_v advance_v to_o half_a the_o bigness_n and_o a_o much_o great_a length_n than_o the_o whole_a stock_n at_o its_o first_o plant_n and_o the_o leaf_n of_o as_o fresh_a a_o verdure_n as_o any_o willow_n in_o the_o field_n thus_o have_v observe_v that_o a_o tree_n of_o four_o ounce_n weight_n can_v in_o three_o month_n time_n and_o little_o more_o consume_v insensible_o seven_o or_o eight_o time_n its_o own_o weight_n of_o pure_a water_n without_o the_o warm_a preservation_n of_o the_o earth_n and_o by_o its_o own_o proper_a digestion_n to_o thicken_v the_o remnant_n of_o the_o water_n that_o it_o may_v serve_v for_o lorication_n of_o the_o tender_a fibres_fw-fr of_o the_o root_n i_o take_v the_o glass_n the_o tree_n and_o all_o and_o throw_v they_o over_o a_o window_n suppose_v it_o needless_a to_o recruit_v the_o water_n any_o more_o and_o judge_v it_o impossible_a without_o the_o warm_a guard_n of_o the_o earth_n that_o the_o naked_a tree_n can_v be_v preserve_v in_o winter_n yet_o it_o have_v the_o good_a fortune_n to_o fall_v among_o some_o thick_a herb_n in_o the_o corner_n of_o a_o little_a garden_n where_o after_o it_o have_v lie_v all_o winter_n it_o be_v find_v and_o bring_v back_o to_o i_o the_o branch_n fair_o bud_v in_o april_n the_o whole_a tree_n fresh_a and_o green_a yet_o very_o little_a water_n be_v leave_v in_o the_o glass_n by_o reason_n as_o i_o judge_v it_o have_v fall_v upon_o its_o side_n then_o i_o endeavour_v to_o keep_v water_n about_o it_o but_o the_o stock_n fill_v the_o neck_n of_o the_o viol_n and_o the_o root_n the_o whole_a body_n thereof_o the_o starve_a plant_n die_v in_o may_n after_o it_o have_v live_v a_o whole_a year_n without_o earth_n from_o this_o it_o will_v seem_v that_o this_o kind_n of_o tree_n and_o it_o may_v be_v many_o more_o do_v dissipat_v insensible_o six_o time_n more_o liquor_n than_o it_o do_v assimilar_v and_o by_o consequence_n that_o a_o great_a quantity_n of_o moisture_n be_v necessary_a for_o maintenance_n of_o great_a wood_n neither_o be_v there_o any_o way_n so_o advantageous_a for_o drain_n moist_a ground_n where_o there_o be_v no_o live_a spring_n as_o that_o of_o plant_v abundance_n of_o timber_n which_o will_v best_o agree_v with_o that_o kind_n of_o soil_n for_o by_o this_o mean_n what_o be_v former_o noisome_a and_o superfluous_a be_v now_o convert_v partly_o into_o the_o useful_a aliment_n of_o the_o timber_n and_o partly_o send_v abroad_o in_o insensible_a exhalation_n which_o according_a to_o the_o nature_n of_o the_o emit_v plant_n prove_v either_o very_a noisome_a or_o wholesome_a to_o the_o neighbour-inhabitant_n great_a care_n therefore_o will_v be_v have_v in_o the_o choice_n of_o such_o tree_n as_o be_v to_o be_v plant_v in_o such_o moist_a ground_n as_o be_v near_o to_o man_n dwelling_n or_o place_n of_o concourse_n they_o be_v not_o fool_n who_o prefer_v fir_n and_o lime-tree_n in_o their_o avenue_n to_o oak_n and_o elm_n let_v the_o effect_n of_o the_o atomical_a exhalation_n of_o alder_n and_o oak_n upon_o fine_a linen_n and_o white_a skin_n be_v more_o particular_o notice_v have_v speak_v somewhat_o of_o the_o aliment_n and_o growth_n of_o plant_n i_o shall_v in_o the_o next_o place_n give_v a_o short_a hint_n at_o the_o motion_n of_o their_o aliment_n especial_o of_o tree_n that_o the_o alimentary_a juice_n of_o plant_n be_v much_o thin_a than_o that_o of_o animal_n no_o man_n i_o suppose_v will_v deny_v see_v that_o be_v convey_v through_o the_o trunk_n or_o body_n of_o the_o plant_n by_o inperceptible_a pore_n but_o this_o for_o the_o most_o part_n be_v send_v through_o all_o the_o member_n through_o patent_n and_o manifest_a vessel_n but_o how_o the_o nourish_a and_o vital_a juice_n in_o plant_n do_v move_v and_o by_o what_o passage_n have_v not_o yet_o be_v make_v know_v by_o any_o that_o i_o have_v see_v i_o make_v once_o a_o few_o observation_n for_o try_v of_o the_o motion_n of_o the_o aliment_n of_o tree_n which_o breed_v in_o i_o this_o conjecture_n the_o nutritive_a juice_n of_o tree_n be_v transmit_v both_o to_o the_o root_n and_o branch_n through_o the_o heart_n or_o pitch_n and_o woody_a pore_n of_o the_o timber_n and_o when_o it_o be_v come_v to_o the_o extreme_a part_n it_o return_v again_o from_o the_o top_n of_o the_o root_n and_o branch_n between_o the_o bark_n and_o timber_n into_o these_o forename_a interior_a passage_n and_o so_o back_o to_o the_o extremity_n again_o and_o that_o continual_o so_o long_o as_o the_o life_n remain_v and_o because_o the_o substance_n of_o that_o skin_n or_o bark_n which_o invest_v the_o fibre_n of_o the_o root_n be_v more_o open_a and_o porous_a than_o that_o which_o be_v upon_o the_o outward_a branch_n therefore_o it_o seem_v that_o so_o much_o as_o be_v superad_v to_o the_o stock_n of_o the_o former_a aliment_n from_o the_o earth_n be_v convey_v to_o the_o heart_n and_o pitch_n by_o mean_n of_o and_o together_o with_o that_o part_n of_o the_o retrograd_v juice_n which_o return_v from_o nourish_v and_o enliven_a the_o timber_n of_o the_o root-branche_n for_o it_o be_v a_o easy_a experiment_n to_o make_v the_o top_n of_o any_o tree_n become_v root_n by_o lay_v it_o down_o and_o receive_v the_o impression_n of_o the_o life_n of_o the_o tree_n common_a to_o the_o whole_a mass_n of_o alimentary_a juice_n like_o the_o i_o will_v in_o animal_n mix_v with_o the_o blood_n of_o the_o veni-cave_n before_o it_o come_v to_o the_o heart_n this_o motion_n be_v not_o to_o be_v think_v always_o alike_o swift_a or_o of_o equal_a celerity_n for_o the_o vital_a juice_n of_o the_o tree_n become_v so_o thick_a and_o oleagenous_a in_o the_o winter_n that_o the_o motion_n thereof_o to_o the_o outward_a be_v scarce_o discernible_a though_o the_o preparation_n of_o the_o gem_n both_o for_o leaf_n and_o flower_n be_v observe_v by_o the_o curious_a and_o can_v be_v distinguish_v even_o in_o the_o cold_a season_n and_o the_o return_v inward_a be_v in_o so_o small_a quantity_n that_o they_o be_v rather_o like_o
where_o four_o mill_n go_v with_o the_o water_n that_o come_v from_o under_o ground_n out_o of_o the_o coal_n which_o kind_n of_o level_n be_v only_o find_v where_o the_o coal_n lie_v in_o a_o field_n which_o have_v a_o considerable_a rise_n or_o ascent_n above_o ground_n there_o be_v a_o necessity_n to_o make_v use_n of_o the_o other_o two_o way_n speak_v of_o for_o dry_v the_o coal_n when_o the_o field_n in_o which_o it_o lie_v be_v a_o plain_n further_o of_o these_o coal_n which_o be_v dry_v by_o the_o free-level_n for_o so_o they_o term_v the_o level_n that_o run_v unforced_a there_o be_v some_o to_o which_o this_o kind_n of_o damp_n be_v more_o incident_a than_o to_o other_o the_o cause_n of_o which_o difference_n be_v find_v to_o be_v the_o solidity_n and_o clossness_n of_o the_o metal_n whether_o of_o coal_n or_o stone_n wherein_o some_o exceed_v another_o there_o be_v some_o that_o be_v full_a of_o rift_n or_o empty_a space_n i_o mean_v empty_a of_o any_o part_n of_o the_o same_o body_n where_o they_o be_v which_o will_v sometime_o serve_v to_o convey_v a_o considerable_a quantity_n of_o water_n in_o place_n of_o a_o aquaduct_a or_o level_a which_o space_n be_v term_v by_o the_o vulgar_a cutter_n which_o sometimes_o prove_v very_o profitable_a in_o the_o ground_n where_o they_o be_v find_v both_o in_o regard_n of_o the_o use_n they_o serve_v for_o in_o stead_n of_o level_n and_o for_o render_v the_o metal_n wherein_o they_o be_v find_v more_o easy_a to_o work_v in_o make_v they_o yield_v easy_o to_o the_o force_n of_o the_o wedge_n and_o leaver_n other_o metal_n there_o be_v wherein_o few_o of_o these_o cutter_n be_v to_o be_v find_v and_o if_o water_n be_v to_o be_v convey_v through_o they_o there_o be_v a_o necessity_n of_o cut_v a_o passage_n through_o they_o for_o that_o effect_n now_o this_o damp_n whereof_o we_o speak_v be_v find_v most_o frequent_o and_o most_o violent_a in_o the_o first_o sort_n of_o metal_n viz._n in_o these_o which_o be_v full_a of_o cutter_n or_o rift_n which_o give_v some_o ground_n to_o this_o conjecture_n of_o its_o cause_n these_o space_n which_o be_v find_v in_o coal_n or_o other_o metal_n as_o stone_n or_o till_n before_o the_o coal_n begin_v to_o be_v dry_v by_o a_o level_n be_v full_a of_o water_n which_o be_v still_o in_o motion_n as_o be_v all_o subterraneous_a spring_n whereof_o some_o be_v more_o violent_a some_o more_o slow_a conform_v to_o the_o passage_n they_o have_v to_o the_o fountain_n above_o ground_n where_o they_o discharge_v themselves_o now_o for_o dry_v these_o coal_n and_o render_v they_o workable_a there_o be_v a_o necessity_n to_o cut_v a_o passage_n through_o which_o that_o water_n discharge_v itself_o quick_o it_o be_v large_a and_o admit_v a_o great_a quantity_n at_o once_o by_o virtue_n whereof_o a_o great_a field_n be_v drain_v at_o once_o and_o the_o source_n not_o be_v able_a to_o furnish_v so_o much_o water_n as_o the_o conduit_n be_v able_a to_o convey_v these_o space_n in_o the_o body_n of_o the_o metal_n be_v empty_v of_o water_n must_v needs_o be_v fill_v with_o air_n which_o air_n have_v little_a contact_n and_o commerce_n with_o the_o great_a body_n of_o air_n above_o ground_n and_o so_o have_v little_a or_o â—o_o motion_n corrupt_v in_o these_o place_n and_o thereby_o become_v poisonable_a so_o that_o when_o any_o animal_n be_v necessitat_fw-la to_o draw_v it_o and_o respire_v by_o it_o it_o choke_v they_o on_o a_o sudden_a just_a as_o stand_a water_n which_o be_v without_o motion_n corrupt_v and_o become_v poisonable_a though_o haply_o not_o in_o so_o great_a a_o degree_n as_o the_o air_n the_o air_n be_v a_o body_n much_o â—iner_a and_o pure_a than_o water_n that_o hold_v good_a in_o it_o corruptio_fw-la optimi_fw-la pessima_fw-la this_o be_v much_o confirm_v by_o what_o be_v before_o assert_v that_o in_o the_o coal_n whence_o the_o water_n be_v draw_v and_o they_o drain_v but_o not_o by_o free-course_n but_o by_o force_n as_o pump_v and_o draw_v by_o bucket_n these_o damp_n be_v seldom_o or_o never_o find_v because_o the_o passage_n of_o the_o water_n be_v force_v it_o do_v not_o so_o sudden_o dry_v the_o metal_n as_o the_o other_o whereby_o there_o be_v always_o leave_v in_o these_o space_n some_o water_n which_o be_v itself_o in_o motion_n keep_v the_o air_n also_o in_o motion_n with_o it_o and_o thereby_o the_o air_n be_v keep_v from_o corruption_n at_o least_o in_o such_o a_o degree_n as_o it_o be_v in_o the_o other_o hence_o we_o find_v that_o in_o these_o kind_n of_o coal_n the_o room_n underground_o be_v always_o wet_a or_o for_o the_o most_o part_n they_o be_v so_o whereas_o in_o the_o other_o there_o will_v be_v no_o water_n find_v to_o wash_v a_o man_n hand_n and_o sometime_o the_o coal_n through_o want_n of_o water_n become_v so_o dry_a that_o it_o can_v be_v wrought_v in_o great_a piece_n as_o other_o but_o crush_v in_o the_o very_a work_n and_o when_o wrought_v be_v render_v useless_a and_o will_v not_o at_o all_o bourn_n this_o put_v i_o in_o mind_n of_o a_o very_a pleasant_a conception_n of_o a_o worthy_a and_o learned_a person_n doctor_n george_n hepburn_n of_o monk-ridge_n with_o who_o i_o have_v occasion_n one_o day_n to_o discourse_n on_o this_o subject_a he_o be_v of_o opinion_n that_o the_o water_n be_v the_o mother_n of_o the_o coal_n whereby_o it_o be_v preserve_v fresh_a and_o incorrupt_v and_o that_o when_o the_o water_n be_v draw_v off_o and_o this_o damp_n follow_v it_o be_v not_o the_o air_n which_o succeed_v in_o place_n of_o the_o water_n and_o be_v corrupt_v for_o want_n of_o motion_n that_o occasion_n it_o but_o as_o we_o see_v when_o the_o corruption_n of_o a_o liquor_n within_o a_o vessel_n when_o the_o mother_n be_v go_v corrupt_v the_o vessel_n itself_o and_o occasion_n a_o ill_a savour_n or_o taste_v in_o the_o vessel_n so_o that_o the_o coal_n be_v corrupt_v by_o the_o want_n of_o its_o mother_n the_o water_n corrupt_v the_o air_n in_o the_o 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straightway_o extinguish_v it_o or_o take_v a_o coal_n which_o be_v burn_v and_o let_v it_o down_o it_o shall_v not_o only_o extinguish_v the_o flame_n but_o shall_v make_v the_o coal_n in_o a_o instant_n dead_a and_o as_o cold_a as_o never_o heat_n have_v be_v in_o it_o but_o the_o most_o dangerous_a effect_n be_v its_o kill_v of_o live_a creature_n whereby_o many_o person_n have_v be_v sudden_o kill_v some_o in_o go_v down_o to_o a_o sink_v where_o it_o have_v be_v powerful_a have_v fall_v out_o of_o the_o rope_n and_o perish_v other_o have_v be_v choke_v and_o yet_o have_v get_v out_o by_o the_o help_n of_o other_o in_o a_o sudden_a and_o have_v remain_v a_o considerable_a time_n without_o the_o least_o appearance_n of_o life_n but_o yet_o have_v at_o last_o recover_v yet_o it_o have_v be_v observe_v that_o some_o of_o these_o person_n that_o have_v be_v so_o strike_v with_o the_o damp_n and_o recover_v have_v have_v always_o some_o lightness_n of_o brain_n thereafter_o and_o never_o so_o settle_v as_o former_o this_o i_o know_v to_o have_v happen_v to_o one_o who_o i_o have_v see_v so_o many_o time_n thereafter_o what_o have_v be_v its_o effect_n on_o some_o animal_n whereof_o you_o have_v make_v experiment_n i_o leave_v to_o the_o account_n you_o have_v give_v one_o thing_n i_o shall_v only_o mention_v which_o to_o i_o seem_v somewhat_o strange_a that_o notwithstanding_o these_o damp_n be_v so_o effectual_a and_o cause_v so_o sudden_o the_o death_n of_o animal_n yet_o the_o rat_n which_o be_v in_o some_o of_o these_o place_n where_o the_o damp_n be_v most_o violent_a be_v not_o reach_v by_o they_o for_o sometime_o when_o they_o be_v so_o powerful_a that_o nothing_o that_o life_n can_v enter_v under_o ground_n
crop_n of_o the_o metal_n the_o body_n whereof_o lie_v in_o it_o whether_o of_o coal_n or_o stone_n in_o that_o case_n there_o be_v no_o way_n to_o try_v but_o by_o sink_v or_o boar_v the_o way_n of_o range_v be_v conspicuous_a in_o the_o follow_a figure_n figure_n 11._o the_o piece_n of_o ground_n to_o be_v try_v be_v p_o n_o where_o there_o be_v several_a seam_n of_o metal_n that_o crop_n out_o at_o the_o point_n k_o l_o m_o n._n suppose_v the_o low_a to_o be_v the_o coal_n viz._n i_o n_o for_o which_o you_o be_v to_o make_v trial_n you_o dig_v first_o at_o k_o without_o the_o cropp_n of_o the_o seam_n f_o k_n and_o you_o dig_v till_o you_o find_v the_o other_o seam_n of_o stone_n g_o l_o at_o the_o point_n c._n follow_v the_o rule_n before_o give_v you_o advance_v before_o its_o crop_n and_o dig_v at_o l_o and_o find_v the_o other_o seam_n of_o stone_n h_n m_o at_o the_o point_n d_o from_o which_o you_o also_o advance_v and_o dig_v before_o its_o crop_n at_o the_o point_n m_o and_o find_v your_o coal_n at_o the_o point_n e._n but_o if_o by_o advance_v over_o the_o crop_n of_o these_o metal_n which_o come_v out_o from_o under_o one_o another_o you_o find_v no_o coal_n than_o you_o be_v to_o range_v backward_o for_o the_o crop_n of_o metal_n lie_v above_o these_o where_o haply_o the_o coal_n may_v be_v as_o at_z o_o and_o p._n this_o in_o my_o opinion_n be_v the_o most_o certain_a and_o exact_a way_n of_o try_v field_n for_o coal_n or_o any_o other_o metal_n of_o that_o nature_n and_o least_o chargeable_a of_o all_o other_o the_o second_o of_o this_o last_o part_n i_o promise_v to_o speak_v of_o be_v in_o order_n to_o level_n or_o coal-mine_n which_o be_v nothing_o else_o but_o conduit_n or_o gutter_n make_v under_o ground_n for_o convey_v of_o the_o water_n from_o the_o coal_n and_o so_o render_v it_o workable_a it_o seem_v that_o a_o very_a little_a time_n before_o this_o that_o way_n of_o mine_a under_o ground_n have_v not_o be_v fall_v upon_o for_o there_o be_v to_o be_v find_v coal_n waste_v in_o their_o crop_n only_o for_o convey_v the_o water_n whereof_o they_o have_v make_v a_o conduit_n or_o level_v which_o have_v be_v open_a to_o the_o surface_n like_o a_o great_a ditch_n some_o whereof_o have_v be_v ten_o or_o twelve_o fathom_n in_o their_o deepness_n the_o beginning_n of_o the_o level_n to_o keep_v the_o term_n use_v must_v always_o be_v at_o the_o low_a part_n of_o the_o field_n where_o the_o coal_n lie_v to_o be_v dry_v some_z whereof_o by_o the_o rise_n of_o the_o ground_n and_o the_o streek_a of_o the_o coal_n rise_v that_o way_n as_o we_o show_v before_o give_v the_o advantage_n of_o a_o free_a level_n that_o be_v when_o the_o water_n come_v above_o ground_n of_o its_o own_o accord_n without_o be_v force_v by_o draw_v in_o other_o there_o be_v a_o necessity_n of_o engine_n to_o draw_v the_o water_n from_o the_o low_a part_n of_o the_o level_n and_o bring_v it_o above_o ground_n which_o engine_n be_v of_o several_a sort_n as_o when_o man_n draw_v with_o ordinary_a bucket_n or_o when_o there_o be_v a_o horse-work_n or_o waterwork_n and_o that_o either_o by_o a_o chain_n with_o plate_n and_o a_o pump_n or_o with_o a_o chain_n and_o bucket_n all_o which_o be_v very_o common_a especial_o those_o we_o have_v in_o scotland_n they_o be_v capable_a to_o draw_v but_o a_o very_a small_a draught_n make_v only_a use_n of_o one_o sink_v for_o that_o effect_n but_o there_o be_v to_o be_v see_v in_o the_o north_n of_o england_n in_o bishopric_n water-work_n by_o which_o water_n be_v draw_v above_o 40_o fathom_n in_o perpendicular_a but_o not_o all_o in_o one_o sink_n the_o manner_n whereof_o be_v thus_o there_o be_v a_o sink_v from_o the_o end_n of_o their_o level_n to_o the_o surface_n of_o the_o earth_n where_o their_o work_n be_v go_v 40_o fathom_n deep_a which_o must_v dry_v the_o coal-sinks_n at_o 60_o or_o 70_o which_o lie_v above_o the_o bank_n of_o the_o river_n where_o the_o water-work_n be_v situate_v there_o be_v first_o one_o 40_o fathom_n deep_a from_o the_o grass_n another_o in_o a_o right_a line_n from_o that_o of_o 24._o another_o of_o 12_o upon_o all_o which_o there_o be_v water-work_n in_o the_o first_o sink_v the_o water_n be_v draw_v from_o the_o bottom_n 12_o fathom_n and_o thence_o convey_v into_o a_o level_n or_o i_o which_o carry_v it_o away_o to_o the_o second_o sink_v by_o the_o second_o â—ork_n the_o water_n be_v draw_v out_o of_o the_o second_o sink_v 14_o fathom_n from_o the_o bottom_n and_o set_v in_o by_o a_o level_n to_o the_o three_o sink_v which_o be_v only_o 12_o fathom_n deep_a the_o waterwork_n set_v it_o above_o ground_n the_o form_n of_o the_o engine_n be_v after_o this_o manner_n in_o the_o first_o sink_v there_o be_v a_o outter-wheel_n move_v as_o other_o milns_n be_v by_o the_o water_n of_o the_o river_n upon_o the_o end_n of_o the_o axletree_n of_o which_o wheel_n there_o be_v a_o ragg-wheel_n turn_v vertical_o as_o do_v the_o outer-wheel_n this_o ragg-wheel_n by_o a_o nutt_n or_o trinle_n turn_v another_o which_o move_v horizontal_o the_o axletree_n whereof_o go_v right_o down_o in_o the_o sink_v and_o may_v be_v be_v 8_o or_o 10_o fathom_n at_o the_o end_n whereof_o there_o be_v another_o rag_n which_o by_o a_o nutt_n turn_v another_o wheel_n which_o go_v vertical_o as_o the_o first_o rag_n and_o cause_v another_o wheel_n with_o a_o long_a axletree_n turn_v as_o the_o first_o and_o so_o down_o till_o it_o come_v to_o the_o wheel_n which_o turn_v the_o axletree_n by_o which_o the_o chain_n be_v draw_v the_o second_o sink_v have_v such_o another_o engine_n but_o not_o so_o many_o wheel_n in_o regard_n it_o be_v not_o so_o deep_a the_o three_o have_v only_o one_o single_a wheel_n whereby_o the_o water_n be_v draw_v above_o ground_n the_o most_o curious_a of_o these_o engine_n that_o be_v to_o be_v see_v be_v at_o ravensworth_n near_o to_o newcastle_n which_o belong_v to_o sir_n thomas_n liddel_n a_o most_o ingenious_a gentleman_n who_o for_o procure_v a_o fall_n of_o water_n which_o may_v serve_v the_o wheel_n of_o all_o the_o three_o sink_n have_v erect_v the_o first_o work_n upon_o pillar_n like_o a_o windmill_n pretty_a high_a above_o ground_n from_o which_o the_o water_n fall_v make_v the_o second_o go_v close_o above_o ground_n and_o to_o make_v the_o water_n fall_v to_o the_o three_o the_o whole_a wheel_n be_v make_v go_v within_o the_o surface_n of_o the_o ground_n which_o terminat_n at_o a_o river_n under_o the_o work_n which_o mine_n be_v of_o a_o considerable_a length_n where_o water_n can_v be_v have_v to_o make_v such_o work_v go_v they_o use_v horse-work_n but_o not_o wâ—th_o so_o good_a success_n be_v more_o chargeable_a and_o not_o have_v so_o much_o force_n and_o power_n as_o the_o water-work_n but_o i_o be_o of_o opinion_n that_o wind-work_n may_v serve_v well_o where_o water_n can_v be_v have_v and_o when_o no_o wind_n shall_v happen_v to_o blow_v the_o same_o work_n may_v be_v supply_v by_o horse_n and_o that_o the_o wind_n when_o it_o blow_v but_o ordinary_o have_v as_o much_o force_n as_o so_o much_o water_n which_o be_v make_v use_n of_o for_o turn_v such_o wheel_n be_v to_o i_o unquestionable_a for_o i_o have_v see_v in_o holland_n a_o windmill_n that_o by_o the_o motion_n of_o the_o outter-wheel_n cause_v seven_o pair_n of_o millstone_n to_o go_v at_o once_o beside_o another_o motion_n for_o bring_v the_o victual_n from_o the_o ground_n four_o or_o five_o story_n high_a to_o be_v grund_n and_o several_a saw-mill_n which_o beside_o six_o or_o seven_o great_a saw_n they_o cause_v go_v do_v by_o another_o motion_n bring_v up_o from_o the_o water_n great_a tree_n like_o ship-mast_n to_o be_v fawen_v and_o place_v they_o right_o against_o the_o saw_n all_o which_o can_v not_o be_v but_o of_o great_a weight_n than_o 10_o or_o 12_o fathom_n of_o chain_n with_o bucket_n or_o plate_n for_o draw_v of_o water_n but_o to_o return_v for_o the_o right_n make_v of_o a_o level_n the_o true_a height_n of_o the_o ground_n where_o the_o coal_n lie_v must_v be_v first_o take_v that_o it_o may_v be_v know_v how_o much_o of_o the_o field_n can_v be_v drain_v by_o it_o which_o must_v be_v do_v either_o with_o a_o quadrant_n or_o with_o a_o instrument_n make_v express_v then_o care_n must_v be_v take_v to_o take_v the_o low_a part_n for_o the_o mouth_n of_o the_o level_n that_o the_o field_n can_v afford_v and_o from_o that_o it_o must_v be_v carry_v in_o a_o straight_a line_n towards_o that_o part_n of_o the_o field_n where_o the_o coal_n be_v think_v to_o be_v encounter_v by_o the_o mine_n in_o work_v
weigh_v by_o a_o piece_n of_o lead_n or_o stone_n in_o a_o artificial_a balance_n for_o know_v how_o many_o ounce_n or_o pound_n it_o be_v of_o as_o if_o a_o man_n shall_v endeavour_v to_o weigh_v the_o water_n e_o f_o r_o by_o help_n of_o the_o balance_n above_o which_o in_o effect_n be_v impossible_a experiment_n xviii_o figure_n 25._o make_v a_o wooden_a ark_n after_o this_o follow_a manner_n the_o plank_n must_v be_v of_o oak_n a_o inch_n thick_a the_o height_n 40_o inch_n the_o breadth_n 36._o closs_n on_o all_o side_n and_o above_o and_o open_v below_o and_o because_o the_o form_n be_v foursquare_a there_o must_v be_v four_o standart_v of_o timber_n in_o each_o corner_n one_o to_o which_o the_o plank_n must_v be_v nail_v four_o likewise_o upon_o the_o top_n cross_v the_o other_o four_o at_o right_a angle_n to_o which_o the_o cover_n must_v be_v join_v the_o side_n must_v be_v plain_v and_o the_o edge_n both_o plain_v and_o gripe_v in_o all_o the_o part_n that_o the_o joyning_n may_v be_v close_o upon_o the_o top_n fasten_v a_o strong_a iron_n ring_n as_o at_o n_o through_o which_o must_v be_v fasten_v a_o rope_n of_o so_o many_o foot_n or_o fathom_n and_o because_o the_o use_n of_o this_o engine_n be_v for_o dive_v under_o the_o water_n it_o must_v therefore_o be_v all_o cover_v over_o with_o pitch_n within_o and_o without_o especial_o in_o the_o couple_n and_o because_o this_o instrument_n can_v sink_v of_o its_o own_o accord_n it_o must_v have_v a_o great_a weight_n of_o lead_n append_v to_o it_o for_o that_o cause_n whereupon_o the_o divers_a foot_n must_v stand_v while_o he_o be_v in_o go_v down_o the_o precise_a quantity_n and_o weight_n of_o it_o can_v be_v determine_v because_o it_o depend_v upon_o the_o quantity_n of_o the_o ark_n which_o if_o large_a require_v a_o great_a weight_n if_o of_o a_o lesser_a size_n require_v a_o lesser_a weight_n but_o whatever_o the_o dimension_n of_o the_o ark_n may_v be_v the_o weight_n of_o the_o leaden-foot-stool_n can_v easy_o be_v find_v out_o by_o trial_n this_o invention_n then_o be_v for_o dive_v a_o most_o excellent_a art_n for_o lift_v up_o of_o gun_n ship_n or_o any_o other_o thing_n that_o be_v drown_v below_o the_o water_n and_o it_o be_v in_o imitation_n of_o the_o dive_v bell_n already_o find_v out_o and_o make_v use_v of_o with_o success_n it_o be_v call_v a_o bell_n because_o of_o the_o form_n that_o represent_v a_o church-bell_n indeed_o be_v round_o wide_o below_o and_o narrow_a in_o the_o top_n only_o the_o matter_n be_v of_o lead_n it_o seem_v it_o be_v of_o this_o metal_n first_o because_o lead_n be_v weighty_a and_o will_v therefore_o easy_o sink_v second_o because_o it_o be_v easy_o found_v and_o will_v by_o this_o mean_n be_v of_o one_o piece_n be_v free_a of_o rift_n and_o leak_n three_o it_o be_v of_o lead_n will_v be_v of_o a_o considerable_a strength_n for_o resist_v the_o force_n of_o the_o water_n that_o ordinary_o break_v in_o piece_n vessel_n that_o be_v weak_a i_o 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advantage_n to_o this_o art_n for_o if_o by_o a_o guess_n we_o reckon_v how_o much_o more_o air_n be_v in_o the_o one_o than_o in_o the_o other_o we_o will_v find_v in_o the_o ark_n as_o before_o it_o be_v describe_v 30_o square_a foot_n of_o air_n but_o in_o the_o bell_n though_o it_o be_v 36_o inch_n wide_a as_o well_o above_o as_o below_z yet_o little_o more_o than_o 23_o will_v be_v find_v which_o be_v a_o considerable_a difference_n but_o far_o less_o must_v be_v in_o it_o see_v its_o narrow_a above_o than_o below_o beside_o this_o advantage_n there_o be_v other_o very_o useful_a for_o be_v of_o wood_n it_o be_v more_o tractable_a next_o several_z knags_z of_o iron_n may_v be_v fasten_v convenient_o to_o the_o side_n within_o to_o which_o a_o man_n fasten_v his_o hand_n may_v keep_v his_o body_n fix_v and_o sure_a in_o go_v down_o and_o come_v up_o moreover_o if_o a_o man_n be_v in_o hazard_n to_o be_v confound_v with_o fear_n or_o lose_v the_o right_a exercise_n of_o his_o sense_n and_o so_o be_v in_o danger_n of_o fall_v out_o of_o the_o ark_n or_o if_o his_o foot_n shall_v slide_v off_o the_o footstool_n and_o his_o hand_n fail_v he_o too_o a_o chord_n knit_v to_o one_o of_o those_o and_o fasten_v about_o his_o waist_n or_o middle_a may_v bring_v he_o up_o though_o he_o be_v dead_a then_o it_o be_v far_o easy_a to_o cut_v out_o a_o window_n or_o two_o in_o the_o side_n of_o it_o not_o very_o large_a but_o little_a as_o k_o and_o i_o whereby_o they_o be_v cover_v with_o glass_n a_o man_n may_v see_v at_o a_o distance_n what_o be_v upon_o the_o right_a hand_n and_o what_o be_v upon_o the_o left_a and_o what_o be_v before_o this_o device_n be_v of_o excellent_a use_n for_o through_o the_o want_n of_o it_o the_o diver_n see_v no_o more_o but_o what_o be_v just_a below_o he_o which_o sometime_o when_o he_o be_v near_o the_o ground_n will_v not_o exceed_v the_o compass_n of_o a_o large_a milâ—wheel_n but_o if_o so_o be_v three_o hole_n be_v cut_v through_o 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and_o full_a of_o air_n can_v of_o '_o its_o own_o accord_n go_v down_o unless_o it_o be_v pull_v and_o force_v by_o some_o weight_n it_o may_v either_o be_v broad_a and_o round_o or_o square_v if_o square_a a_o large_a foot_n over_o from_o side_n to_o side_n or_o 16_o inch_n will_v determine_v the_o breadth_n by_o this_o mean_n it_o will_v happen_v to_o be_v pretty_a thick_a see_v a_o great_a quantity_n of_o lead_n be_v require_v in_o each_o corner_n there_o must_v be_v a_o hole_n for_o four_o chord_n by_o which_o it_o be_v append_v to_o the_o mouth_n of_o the_o ark._n between_o it_o and_o the_o roof_n within_o must_v be_v the_o height_n of_o a_o man_n and_o more_o the_o weight_n of_o it_o can_v be_v well_o determine_v without_o trial_n see_v it_o depend_v upon_o the_o dimension_n of_o the_o ark._n first_o then_o try_v how_o much_o weight_n will_v bring_v the_o top_n e_o f_o g_o h_o level_a with_o the_o surface_n of_o the_o water_n when_o this_o be_v find_v add_v a_o little_a more_o 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water_n in_o bulk_n about_o 16_o pint_n of_o our_o measure_n to_o weigh_v 56_o pound_n take_v then_o a_o piece_n of_o lead_n of_o that_o weight_n and_o you_o will_v find_v it_o make_v a_o just_a counterpoise_n with_o the_o ark._n if_o any_o be_v desirous_a to_o know_v the_o quantity_n of_o it_o i_o answer_v if_o lead_v be_v 13_o time_n natural_o heavy_a than_o water_n you_o will_v find_v that_o a_o piece_n of_o lead_n about_o 16_o inch_n every_o way_n will_v do_v it_o if_o it_o be_v object_v that_o when_o a_o man_n body_n be_v within_o the_o ark_n the_o weight_n of_o the_o footstool_n must_v be_v less_o even_o as_o much_o less_o as_o be_v the_o weight_n of_o the_o man_n who_o i_o suppose_v to_o weigh_v 224_o pound_n or_o 14_o stone_n i_o answer_v the_o whole_a weight_n of_o the_o man_n be_v not_o to_o be_v deduce_v from_o the_o footstool_n but_o the_o one_o half_a only_a and_o the_o reason_n be_v because_o a_o man_n body_n be_v of_o the_o same_o specific_a and_o natural_a weight_n 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