the_o suspension_n of_o liquor_n in_o pipe_n either_o close_o or_o open_o above_o not_o only_o of_o water_n by_o water_n but_o of_o water_n by_o air._n pag._n 55_o etc._n etc._n the_o seven_o touch_v the_o cause_n of_o the_o suspension_n and_o keep_v up_o of_o water_n in_o weather-glass_n pag._n 59_o the_o eight_o touch_v the_o reason_n why_o a_o stone_n weigh_v less_o in_o water_n than_o in_o air._n pag._n 71._o etc._n etc._n the_o nine_o touch_v the_o reason_n why_o under_o a_o water_n 34_o foot_n deep_a the_o height_n of_o the_o mercury_n in_o the_o baroscope_n be_v 58_o inch_n pag._n 77._o etc._n etc._n the_o ten_o touch_v the_o reason_n why_o a_o man_n grip_v with_o his_o finger_n the_o torricellian_a tub_n seem_v to_o find_v the_o weight_n of_o the_o liquor_n within_o and_o yet_o find_v it_o not_o pag._n 82._o etc._n etc._n the_o eleven_o touch_v the_o counterpoise_v of_o mercury_n in_o glass-pipe_n under-water_n by_o the_o help_n of_o a_o balance_n above_o adduce_v to_o prove_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 pag._n 86._o the_o difficulty_n answer_v pag._n 87._o etc._n etc._n the_o twelve_o touch_v the_o reason_n why_o a_o cylinder_n of_o brass_n may_v be_v suspend_v by_o a_o surface_n of_o water_n before_o it_o touch_v the_o bottom_n that_o be_v 100_o foot_n deep_a pag._n 101._o etc._n etc._n the_o thirteen_o be_v touch_v two_o plain_a heavy_a body_n suspend_v under_o a_o water_n 34_o foot_n deep_a pag._n 109_o doctor_n moor_n argument_n against_o the_o pressure_n of_o the_o air_n answer_v pag._n 117_o the_o fourteen_o touch_v the_o counterpoise_v of_o mercury_n with_o water_n of_o mercury_n with_o air_n and_o water_n whence_o some_o notable_a phenomena_n appear_v pag._n 120._o etc._n etc._n the_o fifteen_o touch_v a_o experiment_n try_v in_o a_o water_n 72_o foot_n deep_a pag._n 127._o etc._n etc._n the_o sixteen_o touch_v the_o reason_n why_o the_o different_a wideness_n of_o tub_n make_v no_o alteration_n in_o the_o height_n of_o the_o liquor_n suspend_v in_o they_o pag._n 133._o the_o seventeen_o a_o notable_a trial_n for_o prove_v the_o pressure_n of_o the_o water_n pag._n 137._o etc._n etc._n mr._n boil_v experiment_n insufficient_a pag._n 146._o the_o eighteen_o touch_v the_o diving-ark_n pag._n 153._o etc._n etc._n the_o nineteen_o touch_v a_o siphon_n make_v to_o work_v under_o water_n with_o mercury_n by_o the_o pressure_n thereof_o as_o a_o siphon_n operat_o with_o water_n by_o the_o pressure_n of_o the_o air._n p._n 180._o the_o last_o be_v for_o demonstrate_v the_o precise_a and_o just_a weight_n of_o any_o pillar_n of_o air_n water_n or_o mercury_n p._n 183._o etc._n etc._n content_n of_o the_o miscellany_n observation_n observation_n 1._o anent_o the_o kill_n of_o animal_n in_o coal_n sink_v by_o the_o power_n of_o damp_n and_o ill_a air._n pag._n 197._o obseru._n 2._o touch_v the_o position_n of_o jupiter_n with_o the_o star_n of_o gemini_fw-la novemb_n 24._o 1669._o p._n 201._o obseru._n 3_o for_o know_v the_o motion_n of_o the_o sun_n or_o moon_n in_o second_o of_o time_n ibid._n obseru._n 4._o touch_v a_o experiment_n make_v on_o the_o top_n of_o cheviot_n p._n 207._o obseru._n 5._o touch_v the_o oval-figure_n of_o the_o sun_n at_o his_o set_n p._n 209._o obseru._n 6._o touch_v a_o considerable_a thunder_n with_o great_a lightning_n in_o east-lothian_n in_o july_n 1670._o p._n 210._o obseru._n 7._o a_o method_n for_o find_v out_o the_o true_a south_n and_o north_n point_n p._n 212._o obseru._n 8._o touch_v the_o reason_n why_o a_o dead_a body_n of_o a_o man_n or_o beast_n rise_v from_o the_o ground_n of_o a_o water_n after_o it_o have_v lie_v there_o three_o or_o four_o day_n p._n 216._o obseru._n 9_o be_v a_o second_o experiment_n make_v in_o a_o coal-sink_a for_o know_v the_o power_n of_o damp_n and_o ill-air_n p._n 217._o obseru._n 10._o a_o account_n of_o experiment_n try_v with_o the_o air-pump_n p._n 218._o obseru._n 11._o a_o experiment_n make_v for_o know_v the_o reason_n why_o a_o round_a heavy_a body_n as_o a_o bullet_n of_o iron_n fall_v not_o off_o a_o plain_a body_n under_o motion_n but_o lie_v dead_a p._n 224._o obseru._n 12._o show_v the_o reason_n why_o a_o stone_n demit_v from_o the_o top_n of_o a_o ships-mast_n under_o sail_n fall_v direct_o upon_o the_o place_n it_o hang_v over_o p._n 226._o obseru._n 13._o touch_v the_o height_n of_o the_o mercury_n in_o the_o baroscope_n observe_v by_o d._n beal_n p._n 228._o obseru._n 14._o touch_v the_o variation_n of_o the_o magnetic_a needle_n here_o p._n 228._o obseru._n 15._o touch_v the_o elevation_n of_o the_o pole_n here_o p._n 228._o obseru._n 16._o a_o second_o method_n for_o find_v the_o meridian_n p._n 229._o obseru._n 17._o touch_v a_o considerable_a shower_n of_o hail_n with_o thunder_n and_o rain_n ibid._n obseru._n 18._o touch_v a_o curious_a experiment_n make_v late_o in_o germany_n for_o show_v the_o wonderful_a force_n of_o the_o air._n p._n 230._o obseru._n 19_o touch_v some_o proposal_n of_o new_a engine_n for_o war._n p._n 233._o obseru._n 20._o touch_v a_o sad_a trial_n one_o mr._n campbel_n suffer_v in_o his_o family_n for_o many_o day_n from_o the_o devil_n p._n 238._o obseru._n 21._o touch_v a_o large_a horn_n cut_v off_o a_o woman_n head_n late_o p._n 248._o obseru._n 22._o touch_v the_o primum_fw-la vivens_fw-la in_o animal_n ibid._n observe_v 23._o touch_v the_o aliment_n and_o growth_n of_o plant_n p._n 252._o and_o touch_v the_o motion_n of_o the_o aliment_n in_o tree_n p._n 254._o obseru._n 24._o touch_v a_o history_n of_o coal_n p._n 258._o in_o auctorem_fw-la &_o opus_fw-la encomiasticon_fw-la aether_n be_v expansi_fw-la vitrei_fw-la maris_fw-la antitalanton_n peroledo_n elasin_n fluidarum_fw-la ritè_fw-la videntes_fw-la ingenio_fw-la patefacta_fw-la tuo_fw-la magnalia_fw-la rerum_fw-la laudarûnt_fw-la alacres_fw-la galli_n belgaeque_fw-la sagaces_fw-la aggreder_n be_v nunc_fw-la arte_fw-la nouâ_fw-la trutinare_fw-la profundi_fw-la corpora_fw-la submersas_fw-la quondam_a producere_fw-la gazas_fw-la tollere_fw-la demersis_fw-la ingentia_fw-la pondera_fw-la cupis_fw-la gas_n fracidum_fw-la in_o cryptis_fw-la ortum_fw-la fossoribus_fw-la atrox_n submisso_fw-la in_o fundos_fw-la aurae_fw-la renovante_fw-la flabello_fw-la propulsare_fw-la doces_fw-la lithanthracumque_fw-la cavernae_fw-la quê_fw-la be_v foveantur_fw-la aquis_fw-la quo_fw-la tendant_a unde_fw-la oriantur_fw-la ordine_fw-la quò_fw-la circum_fw-la saxorum_fw-la strata_fw-la recumbant_fw-la quòd_fw-la benè_fw-la coepisti_fw-la naturae_fw-la cuncta_fw-la foventis_fw-la munera_fw-la solerti_fw-la pergo_fw-la illustrare_fw-la mathesi_n georgius_n hepburnus_n m._n d._n à _fw-fr monachagro_n to_o the_o reader_n reader_n that_o thou_o may_v know_v by_o one_o word_n more_o how_o useful_a this_o part_n of_o philosophy_n be_v and_o how_o far_o from_o be_v a_o science_n long_o ago_o perfect_v take_v but_o this_o follow_a proposal_n late_o since_o my_o book_n come_v to_o a_o close_a communicate_v to_o i_o by_o a_o friend_n which_o by_o his_o allowance_n i_o have_v publish_v reserve_v the_o answer_n to_o himself_o the_o author_n thereof_o brother_n by_o what_o you_o have_v publish_v in_o your_o ars_fw-la nova_fw-la &_o magna_fw-la and_o this_o book_n i_o have_v be_v lead_v to_o this_o invention_n to_o beget_v within_o the_o bowel_n of_o the_o sea_n a_o power_n or_o force_v which_o with_o great_a safety_n and_o ease_n shall_v bring_v up_o the_o great_a weight_n that_o can_v be_v sink_v therein_o ad_fw-la data_fw-la quae_fw-la cunque_fw-la pondera_fw-la demersa_fw-la in_fw-la maris_fw-la visceribus_fw-la potentiam_fw-la producere_fw-la quae_fw-la modo_fw-la securo_fw-la &_o facili_fw-la è_fw-la fundo_fw-la cujusvis_fw-la altitude_v ad_fw-la summum_fw-la ipsa_fw-la evehat_fw-la i_o draw_v a_o letter_n one_o night_n show_v the_o way_n how_o this_o may_v be_v do_v which_o i_o communicate_v to_o you_o that_o it_o may_v have_v be_v print_v with_o your_o book_n but_o after_o second_o thought_n i_o judge_v it_o more_o meet_a to_o keep_v it_o up_o for_o a_o time_n and_o that_o it_o shall_v be_v set_v forth_o by_o way_n of_o proposal_n only_o at_o the_o first_o by_o your_o brother_n mr._n john_n sinclar_a o_o miston_n may_v 20._o 1682._o this_o new_a invention_n though_o hydrostatical_a be_v truâ—y_o mechanical_a there_o be_v here_o a_o â—ondus_fw-la and_o a_o potentia_n who_o operation_n depend_v upon_o mechanical_a principle_n but_o in_o several_a respect_n it_o be_v far_o more_o admirable_a than_o the_o most_o part_n of_o the_o mechanical_a engine_n which_o be_v look_v upon_o as_o stupendous_a many_o thing_n almost_o incredible_a be_v report_v of_o archimedes_n which_o he_o admirable_o bring_v about_o by_o his_o mechanical_a power_n but_o i_o be_o confident_a that_o by_o this_o invention_n as_o great_a a_o weight_n may_v be_v lift_v if_o not_o great_a as_o the_o power_n of_o any_o mechanical_a faculty_n can_v be_v able_a to_o move_v i_o know_v the_o great_a conceivable_a weight_n may_v be_v demonstrat_fw-la to_o be_v move_v
they_o do_v not_o counter_a poise_n one_o another_o according_a to_o their_o thickness_n for_o though_o the_o one_o pillar_n of_o water_n be_v ten_o time_n thick_a than_o the_o other_o and_o consequent_o heavy_a yet_o be_v it_o not_o able_a to_o press_v up_o the_o other_o that_o be_v more_o slender_a and_o so_o light_a beyond_o its_o own_o height_n and_o therefore_o they_o weigh_v only_o according_a to_o their_o altitude_n theorem_fw-la v._o in_o all_o fluid_n there_o be_v a_o pressure_n figure_n 1._o this_o be_v true_a not_o only_o of_o the_o element_n of_o air_n and_o water_n while_o they_o be_v out_o of_o their_o own_o place_n as_o they_o speak_v but_o while_o they_o be_v in_o it_o for_o air_n and_o water_n be_v natural_o endue_v with_o weight_n the_o second_o foot_n can_v be_v under_o the_o first_o unless_o it_o sustain_v it_o if_o this_o be_v it_o must_v necessary_o be_v press_v with_o its_o burden_n so_o this_o water_n be_v natural_o a_o heavy_a body_n the_o foot_n i_o can_v be_v under_o e_o unless_o it_o sustain_v it_o and_o be_v press_v with_o the_o burden_n of_o it_o the_o foot_n n_o be_v burden_v with_o they_o both_o from_o this_o pressure_n which_o be_v in_o air_n arise_v a_o certain_a sort_n of_o force_n and_o power_n which_o may_v be_v call_v bensil_n by_o virtue_n whereof_o a_o little_a quantity_n of_o air_n can_v expand_v and_o spread_v out_o itself_o to_o a_o very_a large_a quantity_n and_o may_v by_o extrinsic_a force_n be_v reduce_v to_o that_o small_a quantity_n again_o though_o this_o expansive_a faculty_n be_v evident_a in_o air_n yet_o it_o be_v scarce_o discernible_a in_o water_n unless_o it_o be_v in_o very_o deep_a part_n near_o the_o bottom_n where_o the_o pressure_n be_v great_a this_o pressure_n be_v not_o of_o the_o same_o degree_n in_o all_o the_o part_n but_o be_v increase_v and_o augment_v according_a to_o the_o deepness_n of_o the_o air_n and_o water_n for_o the_o air_n upon_o the_o top_n of_o mountain_n and_o high_a place_n be_v think_v to_o be_v of_o a_o less_o pressure_n then_o in_o valley_n and_o water_n be_v of_o a_o less_o pressure_n ten_o or_o twelve_o foot_n from_o the_o top_n than_o twenty_o or_o thirty_o so_o be_v the_o water_n n_o under_o a_o far_o less_o pressure_n than_o the_o water_n p_o or_o q._n theorem_fw-la vi_o the_o pressure_n of_o fluids_n be_v on_o every_o side_n figure_n 1._o the_o meaning_n be_v that_o air_n and_o water_n press_v not_o only_o downward_o but_o upward_o not_o to_o the_o right_a hand_n only_o but_o to_o the_o leave_v also_o and_o every_o way_n so_o the_o foot_n of_o water_n k_o not_o only_o press_v down_o the_o foot_n r_o but_o press_v up_o the_o foot_n f_o yea_o press_v the_o foot_n i_o and_o the_o foot_n l_o with_o the_o same_o weight_n and_o the_o first_o imaginary_a surface_n be_v as_o much_o press_v up_o by_o the_o water_n iklm_n as_o it_o be_v press_v down_o by_o the_o water_n efgh_n upon_o this_o account_n it_o be_v that_o when_o a_o sphere_n or_o glob_v be_v suspend_v in_o the_o middle_n of_o water_n or_o air_n all_o the_o point_n of_o their_o surface_n be_v uniform_o press_v after_o this_o manner_n be_v our_o body_n press_v with_o the_o environ_v air_n and_o the_o man_n that_o dive_v with_o the_o ambient_fw-la and_o environ_v water_n theorem_fw-la vii_o all_o the_o part_n of_o a_o fluid_a in_o the_o same_o horizontal_n line_n be_v equal_o press_v figure_n i._n the_o meaning_n be_v that_o the_o foot_n i_o be_v no_o more_o press_v than_o the_o foot_n k_o neither_o be_v the_o foot_n l_o more_o burden_v than_o the_o foot_n m._n the_o reason_n be_v because_o each_o of_o these_o foot_n sustain_v the_o same_o weight_n for_o efgh_a be_v all_o of_o they_o of_o the_o same_o burden_n therefore_o all_o the_o part_n of_o a_o fluid_a in_o the_o same_o horizontal_n surface_n be_v press_v most_o equal_o this_o hold_v true_a in_o air_n and_o mercury_n or_o in_o any_o other_o liquid_a also_o theorem_fw-la viii_o the_o pressure_n of_o fluids_n seem_v to_o be_v according_a to_o arithmetical_a progression_n figure_n i._n the_o meaning_n be_v that_o if_o the_o first_o foot_n of_o water_n have_v one_o degree_n of_o pressure_n in_o it_o the_o second_o must_v have_v only_o two_o and_o the_o three_o must_v have_v only_o three_o and_o so_o forth_o which_o appear_v from_o the_o schematism_n for_o the_o first_o foot_n e_o have_v one_o degree_n of_o weight_n and_o the_o second_o foot_n i_o have_v of_o its_o self_n as_o much_o and_o sustain_v e_z it_o must_v have_v two_o degree_n and_o no_o more_o so_o the_o foot_n n_o sustain_v two_o degree_n of_o pressure_n from_o i_o and_o e_o must_v have_v the_o weight_n only_o of_o three_o degree_n o_o of_o four_o p_o of_o five_o it_o be_v evident_a also_o from_o experience_n for_o while_n by_o the_o pressure_n of_o water_n mercury_n be_v suspend_v in_o a_o glass_n tub_n we_o find_v that_o as_o the_o first_o fourteen_o inch_n of_o water_n sustain_v one_o inch_n of_o mercury_n so_o the_o second_o fourteen_o inch_n sustain_v but_o two_o and_o the_o three_o but_o three_o but_o if_o the_o pressure_n be_v according_a to_o geometrical_a progression_n the_o three_o foot_n of_o water_n ought_v to_o sustain_v four_o inch_n of_o mercury_n the_o four_o eight_o the_o five_o sixteen_o etc._n etc._n which_o be_v contrary_a to_o experience_n theorem_fw-la ix_o in_o all_o fluid_n there_o be_v a_o twofold_a weight_n one_o sensible_a the_o other_o insensible_a the_o first_o be_v common_a to_o all_o heavy_a body_n which_o we_o find_v in_o water_n while_o we_o lift_v a_o vessel_n full_a of_o it_o from_o the_o ground_n the_o insensible_a weight_n of_o water_n and_o air_n or_o of_o any_o other_o fluid_a can_v scarce_o be_v discern_v by_o the_o sense_n though_o it_o be_v as_o real_a as_o the_o former_a because_o the_o pressure_n be_v uniform_a by_o virtue_n of_o the_o second_o bodies_z natural_o light_a than_o water_n be_v drive_v from_o the_o bottom_n to_o the_o top_n as_o cork_n so_o a_o man_n fall_v into_o a_o deep_a water_n go_v present_o to_o the_o bottom_n and_o instant_o come_v up_o again_o here_o be_v a_o natural_a effect_n which_o can_v want_v a_o natural_a cause_n and_o this_o can_v be_v nothing_o else_o but_o the_o pressure_n of_o the_o water_n by_o virtue_n whereof_o he_o come_v up_o and_o yet_o he_o find_v nothing_o drive_v he_o up_o or_o pull_v he_o up_o therefore_o there_o be_v in_o all_o fluid_a body_n a_o insensible_a weight_n as_o there_o be_v one_o sensible_a see_v the_o man_n that_o perhaps_o weigh_v seventeen_o stone_n be_v drive_v up_o fifteen_o or_o sixteen_o fathom_n by_o it_o and_o it_o must_v be_v very_o considerable_a and_o exceed_v the_o weight_n of_o the_o man_n see_v it_o be_v able_a to_o overcome_v such_o a_o weight_n so_o be_v vapour_n and_o smoke_n drive_v upward_o by_o the_o insensible_a weight_n of_o the_o air_n and_o by_o that_o same_o weight_n do_v the_o cloud_n swim_v above_o we_o theorem_fw-la x._o the_o insensible_a weight_n of_o fluids_n be_v only_o find_v by_o sense_n when_o the_o pressure_n be_v not_o uniform_a for_o understanding_n of_o this_o proposition_n i_o must_v suppose_v something_n that_o be_v possible_a but_o not_o practicable_a put_v the_o case_n then_o while_o a_o man_n open_v his_o hand_n the_o air_n below_o be_v remove_v he_o will_v scarce_o be_v able_a to_o sustain_v the_o weight_n of_o the_o air_n that_o rest_v upon_o the_o palm_n above_o or_o if_o the_o air_n above_o be_v annihilate_v he_o will_v not_o be_v able_a to_o bear_v down_o the_o weight_n that_o press_v upward_o or_o while_o a_o diver_n be_v in_o the_o bottom_n of_o the_o sea_n if_o it_o be_v possible_a to_o free_v any_o one_o part_n of_o his_o body_n from_o the_o pressure_n of_o the_o water_n suppose_v his_o right_a arm_n i_o doubt_v not_o but_o the_o blood_n will_v spring_v out_o in_o abundance_n from_o his_o finger-end_n for_o the_o arm_n be_v free_a and_o the_o other_o part_n extreme_o press_v the_o blood_n of_o necessity_n must_v be_v drive_v from_o the_o shoulder_n downward_o with_o force_n which_o can_v be_v without_o considerable_a pain_n it_o be_v evident_a also_o from_o the_o application_n of_o the_o cuppin-glass_n which_o be_v due_o apply_v to_o a_o man_n skin_n cause_v the_o air_n to_o press_v unequal_o the_o part_n without_o be_v more_o press_v than_o the_o part_n within_o in_o which_o case_n the_o unequal_a pressure_n cause_v the_o pain_n and_o so_o be_v find_v by_o sense_n theorem_fw-la xi_o a_o cylinder_n of_o water_n or_o of_o any_o other_o fluid_a body_n lose_v of_o its_o weight_n according_a to_o its_o reclination_n from_o a_o perpendicular_a position_n towards_o a_o horizontal_n or_o level_v situation_n for_o understanding_n of_o this_o consider_v that_o while_n a_o
pipe_n full_a of_o water_n stand_v perpendicular_a the_o low_a foot_n sustain_v the_o whole_a weight_n of_o the_o water_n above_o it_o but_o no_o soon_o you_o begin_v to_o recline_v the_o pipe_n from_o that_o position_n but_o assoon_o the_o pressure_n upon_o the_o low_a foot_n grow_v less_o so_o that_o if_o the_o low_a foot_n in_o a_o perpendicular_a position_n sustain_v the_o burden_n of_o ten_o foot_n it_o can_v sustain_v above_o five_o or_o six_o when_o it_o be_v half_o recline_v a_o certain_a evidence_n whereof_o be_v this_o the_o more_o a_o cylinder_n of_o water_n be_v recline_v towards_o the_o horizon_n or_o level_v it_o take_v the_o short_a cylinder_n of_o water_n to_o counterpoise_v it_o as_o be_v evident_a in_o siphons_n for_o though_o the_o one_o leg_n be_v sixteen_o inch_n long_o and_o the_o other_o but_o six_o yet_o a_o cylinder_n of_o water_n six_o inch_n long_o will_v counterpoise_v a_o cylinder_n of_o sixteen_o but_o this_o can_v be_v unless_o a_o alteration_n be_v make_v in_o the_o pressure_n for_o how_o be_v it_o possible_a that_o a_o cylinder_n of_o water_n can_v sometime_o be_v in_o aequilibrio_fw-la with_o a_o lesser_a and_o sometime_o with_o a_o great_a weight_n unless_o the_o weight_n and_o pressure_n of_o it_o be_v sometime_o more_o and_o sometime_o less_o when_o i_o say_v a_o cylinder_n of_o water_n lose_v of_o its_o weight_n by_o reclination_n it_o be_v to_o be_v understand_v only_o of_o the_o insensible_a weight_n for_o the_o sensible_a weight_n be_v unchangeable_a see_v it_o be_v always_o a_o pillar_n of_o so_o many_o inch_n or_o foot_n now_o the_o true_a reason_n why_o the_o pressure_n upon_o the_o low_a foot_n grow_v less_o be_v this_o the_o more_o the_o pipe_n be_v recline_v the_o more_o weight_n of_o the_o cylinder_n rest_n upon_o the_o side_n of_o the_o pipe_n within_o by_o which_o mean_n the_o low_a foot_n be_v ease_v of_o the_o burden_n and_o be_v altogether_o ease_v when_o once_o the_o pipe_n lie_v horizontal_n theorem_fw-la xii_o all_o motion_n in_o fluids_n be_v from_o the_o unequal_a pressure_n of_o the_o horizontal_n surface_n figure_n 1._o for_o understand_v this_o i_o must_v distinguish_v a_o twofold_a motion_n in_o fluids_n one_o common_a another_o proper_a by_o virtue_n of_o the_o first_o they_o incline_v as_o all_o other_o heavy_a body_n to_o be_v at_o the_o centre_n of_o the_o earth_n it_o be_v evident_a in_o the_o motion_n of_o river_n which_o descend_v from_o the_o high_a place_n to_o the_o valley_n even_o by_o virtue_n of_o that_o tendency_n they_o have_v to_o be_v at_o the_o centre_n by_o virtue_n of_o the_o second_o they_o incline_v to_o move_v every_o way_n not_o only_o downward_o but_o upward_o hither_o and_o thither_o this_o sort_n of_o motion_n be_v peculiar_a and_o proper_a only_a to_o fluids_n and_o it_o be_v that_o which_o be_v speak_v of_o in_o this_o theorem_fw-la i_o say_v then_o that_o all_o motion_n in_o fluids_n be_v from_o the_o unequal_a pressure_n of_o the_o horizontal_n surface_n for_o put_v the_o case_n a_o be_v more_o press_v then_o b_o e._n g._n with_o a_o stone_n then_o sure_o as_o the_o part_n a_o descend_v the_o other_o part_n b_o will_v ascend_v and_o so_o will_n c_o and_o d_o rise_v high_o too_o suppose_v next_o the_o part_n a_o be_v fir_v of_o the_o pressure_n of_o the_o air_n then_o sure_o in_o the_o same_o instant_n of_o time_n will_v the_o part_v a_o ascend_v and_o the_o part_n bcd_v descend_v as_o this_o proposition_n be_v true_a in_o order_n to_o the_o first_o and_o visible_a surface_n abcd_v so_o it_o be_v true_a in_o order_n to_o the_o imaginary_a surface_n iklm_n for_o put_v the_o case_n the_o space_n i_o be_v fill_v with_o a_o body_n natural_o heavy_a than_o water_n as_o lead_v or_o stone_n than_o behove_v that_o part_n of_o the_o surface_n to_o yield_v it_o be_v more_o press_v than_o the_o part_n of_o the_o same_o surface_n k._n or_o if_o the_o space_n k_n be_v fill_v with_o a_o body_n natural_o light_a than_o water_n as_o cork_n then_o ought_v the_o water_n r_o to_o ascend_v it_o be_v less_o press_v than_o the_o water_n n_o or_o s._n theorem_fw-la xiii_o a_o body_n natural_o heavy_a than_o water_n descend_v and_o a_o body_n natural_o light_a ascend_v figure_n 1._o for_o understanding_n of_o this_o let_v we_o suppose_v the_o quadrat_fw-la space_n e_z to_o be_v fill_v with_o a_o piece_n of_o lead_n or_o iron_n i_o say_v then_o it_o must_v go_v down_o to_o i_o and_o the_o reason_n be_v because_o the_o quadrat_fw-la foot_n of_o water_n i_o be_v more_o press_v than_o the_o quadrat_fw-la foot_n of_o water_n k._n to_o illustrat_fw-la this_o let_v we_o suppose_v that_o each_o quadrat_fw-la foot_n of_o this_o water_n weigh_v a_o pound_n and_o that_o the_o heavy_a body_n exist_v in_o e_o weigh_v two_o pound_n if_o this_o be_v the_o foot_n of_o water_n i_o must_v yield_v see_v it_o be_v more_o press_v than_o k_o upon_o the_o same_o account_n must_v the_o water_n n_o yield_v and_o give_v way_n to_o the_o stone_n see_v it_o be_v more_o press_v then_o r._n for_o according_a to_o the_o twelve_o theorem_n there_o can_v be_v unequal_a pressure_n upon_o a_o surface_n unless_o motion_n follow_v for_o understand_v the_o second_o part_n let_v we_o suppose_v the_o space_n r_o to_o be_v fill_v with_o a_o piece_n of_o cork_n 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 in_o 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 surface_n do_v 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 abcd_v 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 abcd._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 abcd._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 abcd_v 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 also_o for_o if_o a_o cube_n of_o timber_n rest_v in_o the_o space_n t_o be_v just_o the_o weight_n of_o the_o water_n t_o the_o imaginary_a surface_n otv_n be_v no_o more_o press_v then_o if_o t_n be_v water_n and_o so_o it_o can_v go_v downward_o neither_o can_v it_o go_v upward_o see_v the_o under_o part_n of_o the_o water_n r_o be_v no_o more_o press_v up_o by_o the_o timber_n t_o then_o if_o the_o space_n t_n be_v fill_v with_o water_n if_o it_o be_v say_v according_a to_o this_o reason_n a_o stone_n may_v be_v suspend_v in_o a_o deep_a water_n between_o the_o top_n and_o the_o bottom_n which_o be_v absurd_a i_o answer_v such_o a_o thing_n may_v happen_v in_o a_o very_a deep_a water_n for_o put_v the_o case_n a_o cube_n of_o lead_n twelve_o inch_n every_o way_n be_v to_o go_v down_o twelve_o thousand_o fathom_n it_o be_v probable_a it_o will_v be_v suspend_v before_o it_o come_v to_o the_o ground_n for_o come_v to_o a_o imaginary_a surface_n far_o down_o where_o the_o pressure_n be_v great_a a_o cube_n of_o water_n twelve_o inch_n thick_a there_o may_v be_v as_o heavy_a even_o specifical_o as_o the_o cube_n of_o lead_n be_v though_o the_o lead_v be_v ten_o time_n heavy_a specifical_o than_o any_o foot_n of_o water_n at_o the_o top_n if_o water_n suffer_v compression_n of_o part_n by_o the_o superior_a burden_n it_o be_v more_o than_o probable_a that_o the_o second_o foot_n of_o water_n burden_v with_o the_o first_o have_v more_o part_n in_o it_o then_o be_v in_o the_o first_o and_o the_o three_o more_o then_o in_o the_o second_o and_o so_o forth_o and_o consequent_o that_o the_o second_o be_v heavy_a than_o the_o first_o and_o the_o third_z heavy_a than_o the_o second_o now_o if_o this_o be_v why_o may_v not_o that_o foot_n of_o water_n that_o have_v sixty_o thousand_o foot_n above_o it_o by_o virtue_n of_o this_o burden_n be_v so_o compress_v that_o in_o it_o may_v be_v as_o many_o part_n as_o may_v counterbalance_n a_o cube_n of_o lead_n twelve_o inch_n every_o way_n if_o then_o that_o imaginary_a surface_n that_o be_v sixty_o thousand_o foot_n deep_a be_v able_a to_o sustain_v the_o say_a foot_n of_o water_n which_o perhaps_o weigh_v twenty_o pound_n why_o may_v it_o not_o likewise_o sustain_v the_o lead_n that_o be_v both_o of_o the_o same_o dimension_n with_o it_o and_o weight_n hence_o it_o be_v that_o the_o cloud_n do_v swim_v in_o the_o air_n by_o virtue_n of_o a_o counterbalance_n and_o we_o see_v which_o confirm_v this_o doctrine_n that_o the_o thin_a and_o light_a be_v always_o far_a up_o and_o the_o thick_a and_o black_a be_v always_o far_a down_n theorem_fw-la xvii_o the_o low_a the_o part_n of_o a_o fluid_a be_v they_o be_v the_o heavy_a though_o all_o of_o they_o be_v of_o equal_a quantity_n and_o dimension_n figure_n 1._o this_o follow_v from_o the_o former_a which_o may_v appear_v a_o paradox_n yet_o it_o seem_v to_o be_v true_a for_o though_o the_o water_n q_o at_o the_o bottom_n be_v of_o the_o same_o dimension_n with_o the_o water_n e_o at_o the_o top_n yet_o it_o be_v real_o heavy_a which_o happen_v as_o i_o say_v from_o the_o superior_a pressure_n it_o be_v clear_a also_o from_o this_o namely_o the_o cube_n of_o timber_n e_o which_o swim_v upon_o the_o surface_n be_v thrust_v down_o to_o q_o come_v up_o to_o the_o top_n again_o which_o can_v not_o be_v unless_o the_o water_n qui_fw-fr be_v heavy_a than_o the_o water_n e._n i_o suppose_v the_o water_n
e_o and_o the_o timber_n e_o to_o be_v exact_o of_o the_o same_o specific_a weight_n and_o consequent_o the_o surface_n of_o the_o timber_n to_o lie_v horizontal_n with_o bcd_n now_o the_o reason_n why_o the_o timber_n ascend_v from_o q_o to_o e_o be_v no_o other_o than_o this_o namely_o that_o the_o one_o water_n be_v heavy_a than_o the_o other_o for_o the_o under_o part_n of_o the_o water_n p_o be_v more_o press_v up_o with_o the_o timber_n exist_v in_o q_o then_o with_o the_o water_n q_n itself_o it_o must_v yield_v and_o give_v way_n to_o the_o ascent_n for_o if_o the_o cube_n of_o timber_n exist_v in_o q_o be_v as_o heavy_a as_o the_o water_n q_n itself_o it_o will_v no_o more_o press_v upon_o p_o or_o endeavour_v to_o be_v up_o than_o the_o water_n q_n do_v theorem_fw-la xviii_o a_o heavy_a body_n weigh_v less_o in_o water_n then_o in_o air._n figure_n 1._o this_o be_v easy_o prove_v from_o experience_n for_o after_o you_o have_v weigh_v a_o stone_n in_o the_o air_n and_o find_v it_o two_o pound_n and_o a_o half_a take_v it_o and_o suspend_v it_o by_o a_o thread_n knit_v to_o the_o scale_n of_o a_o balance_n and_o let_v it_o down_o into_o the_o water_n and_o you_o shall_v find_v it_o half_o a_o pound_n light_a the_o question_n than_o be_v why_o do_v it_o lose_v half_a a_o pound_n of_o its_o weight_n i_o answer_v the_o stone_n become_v half_o a_o pound_n light_a because_o the_o surface_n of_o water_n on_o which_o it_o rest_v sustain_v half_o a_o pound_n of_o it_o for_o put_v the_o case_n a_o stone_n be_v rest_v in_o r_o that_o weigh_v two_o pound_n and_o a_o half_a in_o the_o air_n it_o behove_v to_o weigh_v but_o two_o pound_n in_o this_o water_n because_o the_o water_n t_n sustain_v half_o a_o pound_n of_o it_o for_o if_o this_o water_n t_o be_v able_a to_o sustain_v the_o water_n r_o that_o weigh_v half_o a_o pound_n it_o must_v be_v also_o able_a to_o sustain_v half_o a_o pound_n of_o the_o stone_n see_v half_o a_o pound_n of_o stone_n be_v no_o heavy_a 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fathom_n of_o air_n near_o to_o the_o earth_n but_o between_o the_o first_o and_o second_o foot_n yea_o between_o the_o first_o and_o second_o inch_n and_o less_o much_o more_o in_o water_n as_o to_o sense_n however_o it_o be_v yet_o the_o theorem_fw-la hold_v true_a for_o we_o find_v no_o difference_n sensible_a between_o the_o compression_n of_o air_n in_o this_o room_n and_o the_o compression_n of_o air_n in_o the_o next_o room_n above_o it_o no_o not_o with_o the_o baroscope_n or_o torricellian_a experiment_n that_o discern_v such_o difference_n accurate_o i_o judge_v it_o likewise_o to_o be_v true_a in_o order_n to_o the_o next_o adjacent_a part_n of_o fluid_n of_o different_a kind_n for_o while_o a_o surface_n of_o mercury_n be_v burden_v with_o a_o pillar_n of_o water_n or_o a_o surface_n of_o water_n with_o a_o pillar_n of_o air_n whatever_o degree_n of_o weight_n and_o pressure_n be_v in_o the_o low_a part_n of_o these_o pillar_n the_o same_o be_v communicate_v entire_o to_o the_o surface_n that_o sustain_v they_o so_o then_o there_o be_v as_o much_o force_n and_o power_n in_o the_o surface_n of_o any_o water_n as_o there_o be_v weight_n and_o pressure_n in_o the_o low_a foot_n of_o any_o pillar_n of_o air_n that_o rest_v upon_o it_o otherwise_o the_o surface_n of_o water_n will_v never_o be_v able_a to_o support_v the_o say_a pillar_n for_o a_o surface_n of_o six_o degree_n of_o force_n can_v never_o be_v able_a to_o sustain_v a_o a_o pillar_n of_o air_n of_o eight_o or_o ten_o degree_n of_o weight_n theorem_fw-la xxi_o the_o pressure_n of_o fluids_n may_v be_v as_o much_o in_o the_o least_o part_n as_o in_o the_o whole_a figure_n 1._o this_o theorem_fw-la may_v seem_v hard_a yet_o it_o can_v be_v make_v manifest_a by_o many_o instance_n for_o albeit_o the_o quantity_n of_o air_n that_o fill_v a_o parlour_n be_v little_a in_o respect_n of_o the_o whole_a element_n yet_o sure_o there_o be_v as_o much_o pressure_n in_o it_o as_o in_o the_o whole_a because_o 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pipe_n up_o from_o one_o surface_n to_o another_o from_o this_o experiment_n we_o see_v the_o true_a reason_n why_o the_o mercurial_a cylinder_n of_o the_o baroscope_n become_v short_a and_o short_a according_a as_o a_o man_n climb_v up_o a_o mountain_n with_o it_o for_o at_o the_o root_n of_o the_o hill_n the_o surface_n of_o air_n that_o sustain_v the_o pillar_n of_o mercury_n be_v of_o great_a force_n than_o the_o surface_n at_o the_o middle_a part_n and_o this_o be_v strong_a than_o any_o surface_n at_o the_o top_n the_o pipe_n therefore_o be_v carry_v up_o from_o one_o surface_n to_o another_o the_o mercury_n in_o it_o must_v subside_o and_o full_o down_o even_o as_o the_o water_n fall_v down_o and_o become_v short_a by_o lift_v the_o pipe_n from_o the_o surface_n abcd_v to_o the_o surface_n no_o and_o as_o the_o whole_a water_n will_v fall_v down_o if_o the_o orifice_n i_o be_v lift_v above_o the_o surface_n dehk_n so_o iâ—_n the_o baroscope_n can_v be_v carry_v so_o high_a till_o it_o come_v above_o the_o top_n of_o the_o air_n the_o whole_a mercurial_a cylinder_n will_v sure_o fall_v down_o and_o as_o by_o thrust_v down_o the_o say_a pipe_n to_o the_o bottom_n of_o the_o vessel_n again_o as_o the_o pipe_n dam_fw-ge the_o water_n ascend_v in_o it_o so_o by_o bring_v down_o the_o baroscope_n to_o the_o earth_n again_o the_o whole_a 19_o inch_n will_v rise_v again_o experiment_n v._o figure_n 8._o fill_v the_o vessel_n adgh_o with_o water_n to_o the_o brim_n next_o thrust_v down_o the_o open_a orifice_n of_o the_o tub_n dam_fw-ge to_o the_o bottom_n and_o you_o shall_v see_v the_o water_n ascend_v in_o it_o as_o high_z as_o d_o according_a to_o the_o first_o experiment_n when_o this_o be_v do_v recline_v the_o say_a pipe_n till_o it_o lie_v as_o be_v and_o you_o shall_v find_v the_o pipe_n complete_o full_a of_o water_n next_o erect_v the_o same_o tub_n again_o as_o da_fw-la and_o you_o shall_v see_v the_o cylinder_n of_o water_n fall_v down_o and_o 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tub_n be_v recline_v the_o say_a surface_n be_v ease_v and_o free_v of_o 40_o ounce_n of_o it_o this_o 40_o rest_v and_o lean_v upon_o the_o side_n of_o the_o pipe_n within_o the_o surface_n then_o find_v the_o say_v cylinder_n light_a now_o than_o before_o instant_o drive_v it_o up_o from_o r_z to_z e_z 40_o inch_n and_o likewise_o when_o the_o reclined_a pipe_n be_v make_v perpendicular_a the_o water_n fall_v down_o from_o i_o to_o d_o because_o of_o the_o inequality_n that_o be_v between_o the_o pondus_fw-la of_o the_o pillar_n and_o the_o potentia_fw-la of_o the_o surface_n this_o surface_n 50_o inch_n deep_a not_o be_v able_a to_o support_v a_o pillar_n 90_o inch_n high_a for_o if_o this_o be_v than_o one_o part_n shall_v be_v more_o burden_a than_o another_o which_o be_v impossible_a it_o be_v to_o be_v observe_v that_o by_o how_o much_o the_o more_o the_o tub_n be_v recline_v from_o a_o perpendicular_a towards_o the_o horizontal_a surface_n abc_n by_o so_o much_o the_o more_o grow_v the_o inequality_n between_o the_o pondus_fw-la and_o the_o potentia_n and_o that_o according_a to_o a_o certain_a proportion_n hence_o be_v it_o that_o the_o tub_n be_v recline_v from_o 60_o degree_n to_o 50_o there_o arise_v a_o great_a inequality_n between_o the_o pondus_fw-la of_o the_o cylinder_n and_o the_o potentia_fw-la of_o the_o surface_n than_o while_o it_o be_v recline_v from_o 70_o to_o 60_o and_o more_o yet_o in_o move_v from_o 50_o to_o 40_o than_o in_o move_v from_o 60_o to_o 50_o and_o so_o downward_o till_o it_o be_v horizontal_a in_o which_o position_n the_o whole_a pondus_fw-la be_v lose_v and_o contrariwise_o while_o the_o pipe_n be_v elevate_v the_o pondus_fw-la begin_v to_o grow_v and_o grow_v more_o be_v lift_v up_o from_o 10_o to_o 20_o than_o from_o 1_o to_o 10_o and_o yet_o more_o in_o travel_v from_o 20_o to_o 30_o than_o from_o 10_o to_o 20_o and_o so_o upward_o till_o it_o be_v perpendicular_a in_o which_o position_n the_o cylinder_n regain_n the_o 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50_o yet_o both_o of_o they_o be_v of_o the_o same_o weight_n in_o respect_n of_o the_o surface_n that_o sustain_v they_o if_o it_o be_v say_v the_o one_o be_v real_o heavy_a than_o the_o other_o notwithstanding_o of_o all_o this_o i_o answer_v it_o be_v so_o indeed_o in_o respect_n of_o the_o libra_n or_o artificial_a balance_n that_o we_o common_o use_v in_o weigh_v of_o thing_n but_o it_o be_v not_o so_o in_o respect_n of_o this_o natural_a balance_n if_o i_o may_v so_o speak_v wherein_o fluid_a body_n be_v only_o weigh_v after_o this_o manner_n we_o see_v second_o a_o clear_a ground_n for_o set_v down_o the_o nine_o theorem_n namely_o that_o in_o all_o fluid_a body_n a_o twofold_a weight_n may_v be_v distinguish_v
one_o sensible_a another_o insensible_a because_o the_o sensible_a weight_n of_o the_o cylinder_n of_o water_n be_v remain_v still_o the_o same_o even_o though_o it_o shall_v be_v recline_v to_o g_o for_o take_v it_o out_o and_o weigh_v it_o in_o a_o balance_n it_o will_v be_v as_o heavy_a the_o one_o way_n as_o the_o other_o but_o it_o be_v not_o so_o with_o the_o insensible_a weight_n see_v the_o tub_n begin_v no_o soon_o to_o recline_v but_o assoon_o it_o begin_v to_o diminish_v and_o grow_v less_o this_o insensible_a weight_n be_v nothing_o else_o but_o the_o sensible_a weight_n consider_v after_o another_o manner_n for_o look_v upon_o the_o weight_n of_o the_o pillar_n of_o water_n be_v as_o it_o weigh_v in_o a_o pair_n of_o scale_n it_o be_v then_o sensible_a and_o weigh_v so_o many_o ounce_n and_o can_v be_v more_o or_o less_o but_o look_v upon_o it_o in_o reference_n to_o the_o potentia_fw-la of_o the_o surface_n that_o sustain_v it_o it_o be_v then_o insensible_a as_o to_o we_o for_o though_o a_o man_n shall_v put_v his_o hand_n below_o the_o water_n and_o endeavour_v to_o find_v the_o weight_n of_o the_o say_a pillar_n yet_o he_o shall_v not_o find_v it_o though_o that_o part_n of_o the_o surface_n upon_o which_o it_o rest_v do_v real_o if_o i_o may_v so_o speak_v find_v the_o weight_n of_o it_o and_o as_o it_o be_v insensible_a so_o be_v it_o sometime_o more_o and_o sometime_o less_o according_a as_o the_o tub_n be_v elevate_v or_o recline_v now_o these_o two_o be_v put_v together_o gives_z a_o very_o probable_a ground_n for_o this_o distinction_n we_o see_v three_o that_o the_o pondus_fw-la or_o weight_n of_o fluids_n do_v not_o only_o press_v according_a to_o perpendicular_a line_n but_o according_a to_o line_n fall_v oblique_o upon_o the_o imaginary_a surface_n so_o do_v the_o weight_n of_o the_o pillar_n of_o water_n be_v press_v the_o surface_n abc_n we_o see_v four_a that_o fluid_a body_n do_v counterpoise_v one_o another_o according_a to_o altitude_n only_o for_o put_v the_o case_n the_o pipe_n be_v be_v ten_o time_n wide_a than_o it_o be_v yet_o will_v the_o surface_n sustain_v the_o water_n in_o it_o provide_v the_o pipe_n keep_v still_o the_o same_o position_n of_o altitude_n namely_o 50_o degree_n the_o reason_n seem_v to_o be_v this_o for_o if_o the_o base_a of_o the_o pillar_n become_v more_o in_o diameter_n it_o necessary_o require_v a_o large_a part_n of_o the_o surface_n to_o rest_v upon_o which_o large_a part_n be_v real_o strong_a than_o the_o lesser_a part_n as_o will_v be_v show_v afterward_o from_o this_o experiment_n we_o see_v last_o a_o evident_a reason_n why_o the_o mercurial_a cylinder_n in_o the_o baroscope_n run_v up_o and_o fill_v the_o empty_a space_n when_o the_o pipe_n be_v recline_v and_o why_o it_o run_v down_o when_o the_o tub_n be_v erect_v again_o in_o effect_n the_o reason_n be_v the_o same_o namely_o a_o inequality_n between_o the_o pondus_fw-la of_o the_o quicksilver_n and_o the_o potentia_fw-la of_o the_o surface_n of_o the_o air_n for_o when_o the_o tub_n begin_v to_o recline_v the_o pondus_fw-la begin_v to_o rest_n upon_o the_o side_n of_o the_o tub_n within_o by_o which_o mean_v the_o potentia_fw-la of_o the_o surface_n find_v the_o burden_n less_o instant_o thrust_v up_o the_o stagnant_a mercury_n to_o supply_v that_o loss_n see_v two_o fluid_n can_v counterpoise_v one_o another_o unless_o they_o be_v in_o aequilibrio_fw-la and_o contrariwise_o assoon_o as_o the_o tub_n begin_v to_o be_v erect_v the_o pondus_fw-la of_o the_o mercury_n begin_v to_o grow_v and_o so_o overcome_v the_o potentia_n of_o the_o surface_n till_o by_o fall_v down_o it_o can_v do_v no_o more_o experiment_n vi_o figure_n 9_o this_o schematism_n represent_v a_o vessel_n full_a oâ—_n water_n who_o first_o and_o visible_a surface_n be_v hik_a the_o second_o which_o be_v imaginary_a be_v efg_v the_o three_o abcd._n fig._n 5_o pag._n 32_o fig._n 6_o pag._n 37_o fig._n 7_o pag._n 46_o fig._n 8_o pag._n 55_o beside_o these_o three_o in_o water_n conceive_v a_o four_o in_o the_o air_n above_o the_o water_n namely_o lmn_n upon_o this_o aërial_a surface_n rest_v the_o orifice_n m_o of_o the_o tub_n tm_n open_v above_o upon_o the_o surface_n efg_v be_v stand_v the_o mouth_n f_o of_o the_o pipe_n sf_n and_o upon_o the_o surface_n abcd_n stand_v the_o pipe_n rb_n open_v at_o both_o end_n after_o the_o orifice_n b_o be_v drown_v below_o the_o water_n you_o will_v find_v the_o liquor_n rise_v from_o b_o to_z h._n then_o close_o with_o the_o pulp_n of_o your_o finger_n the_o mouth_n r_o and_o lift_v the_o pipe_n so_o far_o up_o till_o it_o have_v the_o position_n of_o the_o pipe_n sf_n and_o you_o shall_v see_v the_o water_n hang_v in_o it_o between_o f_o and_o o._n last_o bring_v the_o say_a orifice_n complete_o above_o the_o water_n till_o it_o have_v the_o position_n of_o the_o tub_n tm_n yet_o shall_v the_o water_n still_o hang_v in_o it_o as_o mp_n the_o first_o question_n be_v what_o sustain_v the_o water_n io_o for_o the_o part_n fi_n be_v sustain_v by_o the_o ambient_fw-la water_n i_o answer_v it_o can_v be_v the_o pulp_n of_o the_o finger_n close_v the_o orifice_n s_o for_o though_o by_o take_v away_o the_o finger_n the_o water_n oi_o fall_v down_o and_o by_o put_v to_o the_o finger_n it_o be_v keep_v up_o yet_o this_o prove_v not_o the_o pulp_n of_o the_o finger_n to_o be_v the_o principal_a and_o immediate_a cause_n i_o say_v then_o the_o water_n oi_o be_v suspend_v by_o the_o weight_n of_o the_o incumb_a air_n rest_v upon_o the_o surface_n hik_fw-mi for_o understand_v this_o consider_v as_o i_o say_v before_o 25._o theorem_fw-la that_o the_o pressure_n of_o the_o air_n upon_o all_o body_n be_v just_o equivalent_a to_o the_o weight_n of_o 34._o foot_n of_o water_n hence_o then_o be_v it_o that_o if_o the_o air_n be_v able_a to_o sustain_v a_o pillar_n of_o water_n 34_o foot_n high_a it_o must_v be_v able_a to_o sustain_v the_o short_a pillar_n oi_o that_o exceed_v not_o four_o foot_n the_o second_o question_n be_v whether_o the_o part_n f_o be_v equal_o burden_a with_o the_o part_n e_o or_o g_z for_o it_o will_v seem_v not_o see_v the_o water_n oif_n be_v but_o four_o foot_n high_a while_o upon_o e_z or_o g_o be_v rest_v not_o only_o more_o than_o a_o foot_n of_o water_n to_o the_o top_n hik_fw-mi but_o the_o whole_a weight_n of_o the_o atmosphere_n upon_o the_o say_a top_n be_v rest_v which_o be_v equivalent_a to_o the_o burden_n of_o 34_o foot_n of_o water_n i_o answer_v there_o be_v more_o to_o be_v consider_v than_o that_o four_o foot_n of_o water_n which_o in_o itself_o be_v but_o of_o small_a burden_n therefore_o to_o this_o we_o must_v add_v the_o weight_n of_o the_o air_n between_o o_o and_o s_o within_o the_o pipe_n remember_v that_o the_o orifice_n saint_n be_v stop_v with_o the_o pulp_n of_o the_o finger_n which_o in_o effect_n will_v be_v as_o heavy_a as_o 31_o foot_n of_o water_n put_v the_o case_n then_o f_o to_o be_v one_o foot_n below_o the_o first_o surface_n hik_fw-mi and_o the_o water_n oi_o to_o be_v three_o foot_n than_o ought_v the_o air_n os_fw-mi to_o have_v the_o weight_n of_o 31_o foot_n because_o the_o surface_n efg_n be_v able_a to_o support_v a_o pillar_n of_o 35_o foot_n this_o i_o prove_v because_o the_o part_n e_o de_fw-mi facto_fw-la sustain_v 35_o foot_n because_o the_o air_n above_o be_v equivalent_a to_o 34_o foot_n of_o it_o and_o there_o be_v a_o foot_n of_o water_n between_o it_o and_o the_o top_n namely_o between_o e_z and_o h._n the_o three_o question_n be_v how_o it_o come_v to_o pass_v that_o the_o water_n still_o remain_v in_o the_o pipe_n after_o the_o orifice_n m_o be_v bring_v above_o the_o surface_n of_o the_o water_n for_o there_o be_v here_o no_o stagnant_a water_n guard_v it_o as_o guards_z the_o orifice_n f._n i_o answer_v that_o the_o base_a m_o of_o this_o pillar_n of_o water_n pm_n as_o real_o rest_v upon_o the_o horizontal_a surface_n of_o this_o air_n lmn_n as_o a_o cylinder_n of_o brass_n or_o timber_n rest_v upon_o a_o plain_a marble_n table_n and_o after_o the_o same_o manner_n remember_v that_o the_o orifice_n t_n be_v stop_v all_o this_o time_n with_o the_o pulp_n of_o the_o finger_n if_o it_o be_v say_v that_o the_o part_n m_o be_v more_o burden_v than_o the_o part_n n_o see_v it_o sustain_v four_o foot_n of_o water_n which_o the_o part_n n_o support_v not_o and_o the_o air_n pt_v within_o the_o pipe_n also_o which_o be_v of_o as_o much_o bensil_n and_o pressure_n as_o the_o air_n nigh_o be_v of_o for_o clear_v of_o this_o difficulty_n consider_v that_o the_o pillar_n pm_n be_v short_a now_o than_o before_o for_o the_o
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 pondus_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 fg_v 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 fg_v 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 gh_n that_o it_o be_v of_o before_o likewise_o the_o pillar_n ab_fw-la 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 cb_n 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 press_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 abcd_n and_o fill_v it_o with_o water_n as_o high_a as_o he_o take_v next_o a_o cylinder_n of_o stone_n fg_v 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 no_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 fiâ—st_n the_o weight_n of_o the_o water_n before_o the_o stone_n be_v drown_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 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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 in_o stead_n 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 he_o to_o ab_fw-la 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 he_o to_o ab_fw-la and_o so_o the_o cylinder_n ac_fw-la and_o bd_o be_v high_a press_v with_o great_a weight_n upon_o the_o bottom_n cd_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 mpux_n and_o fill_v it_o with_o water_n to_o qr_n next_o take_v a_o large_a bladder_n why_o 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 qr_n to_o mp_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 why_o make_v the_o water_n swell_v from_o qr_n to_o mp_n by_o which_o mean_v the_o pillar_n of_o water_n mv_o and_o px_n become_v high_a and_o so_o press_v with_o great_a weight_n upon_o the_o bottom_n vx_n for_o clear_v this_o 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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 mv_o and_o px_n 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 abcd_v 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 ab_fw-la by_o which_o mean_n the_o pillar_n ac_fw-la and_o bd_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 stux_n 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 mp_n by_o take_v out_o the_o bladder_n settle_v down_o to_o qr_n 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 fg._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 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 fg_v 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 mn_v where_o i_o suppose_v be_v stand_v the_o vessel_n abde_n with_o stagnant_a mercury_n and_o drown_v the_o end_n below_o the_o surface_n ab_fw-la 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 hg_v be_v 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 dce_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 dce_n 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 ab_fw-la 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 like_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 mn_v 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 like_a 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 ab_fw-la must_v be_v as_o much_o burden_v with_o the_o incumb_a water_n and_o the_o air_n together_o as_o if_o it_o have_v real_o rest_v upon_o it_o a_o pillar_n of_o mercury_n 58_o inch_n high_a if_o this_o be_v than_o it_o follow_v by_o necessity_n that_o there_o must_v be_v a_o equality_n of_o weight_n between_o the_o pondus_fw-la of_o the_o mercury_n in_o the_o tub_n and_o the_o potentia_fw-la of_o the_o surface_n dce_n or_o which_o be_v all_o one_o thing_n that_o the_o part_n c_o on_o which_o the_o pillar_n rest_v be_v no_o more_o burden_v than_o the_o part_n d_o or_o e._n for_o if_o 34_o foot_n of_o water_n and_o 34_o foot_n of_o water_n be_v equivalent_a for_o weight_n to_o 58_o inch_n of_o mercury_n then_o must_v the_o part_n d_o and_o e_o be_v as_o much_o burden_v with_o the_o say_a weight_n as_o the_o part_n c_o be_v burden_v with_o the_o pillar_n within_o the_o tub_n see_v both_o be_v of_o the_o same_o height_n therefore_o the_o power_n and_o force_v of_o the_o imaginary_a surface_n of_o the_o stagnant_a mercury_n dce_n be_v of_o the_o same_o strength_n with_o the_o weight_n of_o the_o pillar_n gfb_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 ab_fw-la 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 dce_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 fb_n remain_v 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 ab_fw-la 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 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
of_o the_o water_n ce_fw-fr or_o de_fw-fr i_o answer_v i_o can_v find_v the_o pressure_n of_o the_o water_n ce_fw-fr because_o it_o be_v counterpoise_v with_o the_o upward_a pressure_n of_o the_o water_n ik_fw-mi 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 df_n because_o it_o be_v counterpoise_v by_o lm_o 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 give_v therefore_o i_o find_v that_o if_o it_o be_v object_v that_o the_o water_n ik_fw-mi can_v counterpoise_v the_o water_n ce_fw-fr 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 ik_fw-mi be_v strong_a than_o ce_fw-fr 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 ce_fw-fr and_o df_n to_o press_v downward_o with_o the_o weight_n of_o six_o pound_n and_o the_o water_n ki_v and_o lm_o to_o press_v 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 il._n and_o if_o this_o be_v then_o must_v the_o water_n ik_fw-mi and_o lm_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 fig._n 9_o pag._n 5â—_n fig._n 10_o fig._n 1â—_n pag._n 7â—_n fig._n 13_o pag._n 81_o fig._n 14_o pag._n 86_o experiment_n xi_o figure_n 15._o amzc_n be_v a_o water_n 15_o foot_n deep_a ab_fw-la a_o glass-tub_n 14_o inch_n long_o and_o full_a of_o mercury_n bc_n 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 de_fw-fr 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 of_o 12_o foot_n and_o eight_o inch_n gh_o a_o tub_n 42_o inch_n long_o with_o a_o pillar_n of_o water_n above_o it_o he_o 11_o foot_n and_o six_o inch_n high_a and_o last_o adgsm_n 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 ab_fw-la to_o weigh_v 14_o ounce_n and_o the_o 28_o inch_n of_o mercury_n de_fw-fr to_o weigh_v 28_o ounce_n the_o 42_o inch_n gh_o 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 de_fw-fr 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 gh_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 gh_o 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 hg_v 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 ab_fw-la 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 bc_n 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 de_fw-fr burden_n the_o balance_n but_o only_o 28_o ounce_n of_o the_o water_n ef._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 gh_n but_o it_o be_v only_o burden_v with_o 42_o ounce_n of_o the_o water_n he_o 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 ab_fw-la within_o the_o tub_n ab_fw-la rest_v immediate_o upon_o the_o imaginary_a surface_n of_o the_o water_n adg_n 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 bc_n and_o 28_o of_o the_o water_n of_o and_o 42_o of_o the_o water_n he_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 bc_n 13_o foot_n 10_o inch_n the_o water_n of_o 12_o foot_n eight_o inch_n and_o he_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 zm_n 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 bc_n be_v 47_o foot_n ten_o inch_n the_o water_n of_o 46_o foot_n eight_o inch_n and_o last_o the_o water_n he_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 zm_n to_o weigh_v 42_o ounce_n every_o 14_o inch_n one_o ounce_n and_o consequent_o the_o water_n bc_n to_o weigh_v 41_o ounce_n the_o water_n of_o to_o weigh_v 40_o ounce_n the_o water_n he_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 bc_n be_v the_o pondus_fw-la and_o the_o mercury_n ab_fw-la the_o 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 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 ab_fw-la 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 adg_n 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 cb_n 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 bc_n 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 bc_n 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 bc_n must_v press_v it_o down_o with_o 14_o ounce_n only_o and_o so_o the_o cylinder_n bc_n 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 ab_fw-la 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 of_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 de_fw-fr 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 ab_fw-la press_v up_o with_o 27_o ounce_n and_o the_o mercury_n de_fw-fr 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 ab_fw-la be_v short_a and_o light_a than_o de_fw-fr 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 be_o be_v able_a to_o press_v up_o the_o mercury_n ab_fw-la with_o 27_o ounce_n it_o must_v press_v up_o the_o mercury_n de_fw-fr only_a with_o 12_o ounce_n according_a to_o this_o rule_n if_o the_o mercury_n ab_fw-la 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 ab_fw-la 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 ab_fw-la 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 bc_n 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 ab_fw-la 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 take_v out_o from_o l_o 27_o ounce_n for_o make_v a_o new_a counterpoise_n and_o last_o the_o scale_n k_o must_v support_v the_o whole_a weight_n of_o the_o water_n he_o which_o be_v 39_o ounce_n nothing_o remain_v to_o counterbalance_v this_o downward_o pressure_n and_o consequent_o to_o ease_v the_o balance_n how_o then_o be_v it_o counterpoise_v for_o clear_v this_o you_o must_v remember_v that_o this_o water_n that_o be_v real_o 15_o foot_n deep_a must_v be_v reckon_v as_o i_o say_v 49_o because_o of_o the_o pressure_n of_o the_o air_n upon_o the_o top_n that_o be_v equivalent_a to_o 34._o if_o then_o it_o be_v so_o it_o can_v raise_v mercury_n high_o in_o a_o tub_n than_o 42_o inch_n the_o one_o be_v 14_o time_n heavy_a than_o the_o other_o so_o that_o if_o 14_o inch_n of_o water_n can_v raise_v mercury_n high_o than_o one_o inch_n 49_o foot_n can_v raise_v it_o high_o than_o 42_o inch_n for_o as_o 14_o inch_n be_v to_o one_o inch_n so_o be_v 49_o foot_n to_o three_o foot_n and_o a_o half_a which_o be_v 42_o inch_n now_o i_o say_v the_o whole_a weight_n of_o the_o water_n he_o rest_v upon_o the_o top_n of_o the_o tub_n and_o so_o press_v down_o the_o scale_n k_o to_o which_o you_o must_v imagine_v this_o tub_n knit_v by_o a_o string_n as_o the_o former_a be_v nothing_o remain_v to_o counterpoise_v this_o downward_o pressure_n for_o the_o top_n of_o the_o mercurial_a cylinder_n being_n raise_v as_o high_a within_o the_o pipe_n as_o the_o surface_n of_o water_n dgs_n be_v able_a to_o raise_v it_o the_o say_a top_n can_v impress_v no_o force_n upon_o the_o tub_n within_o to_o thrust_v it_o up_o and_o so_o to_o ease_v the_o scale_n k._n for_o example_n when_o a_o man_n erect_v upon_o his_o hand_n a_o cylinder_n of_o timber_n or_o any_o such_o like_a thing_n which_o be_v the_o outmost_a he_o can_v support_v he_o will_v not_o be_v able_a to_o impress_v any_o impulse_n upon_o the_o seiling_n of_o a_o room_n above_o his_o head_n but_o if_o so_o be_v in_o stead_n of_o that_o take_v away_o there_o be_v one_o light_a erect_v which_o he_o be_v able_a to_o command_v he_o can_v easy_o thrust_v up_o the_o seiling_n at_o his_o pleasure_n just_o so_o it_o be_v here_o for_o the_o 42_o inch_n of_o mercury_n be_v the_o outmost_a that_o the_o surface_n of_o water_n dgs_n be_v able_a to_o bear_v it_o can_v impress_v any_o impulse_n therewith_o upon_o the_o top_n of_o the_o tub_n within_o but_o easy_o can_v the_o cylinder_n de_fw-fr impress_v a_o impulse_n and_o more_o easy_o the_o cylinder_n ab_fw-la see_v they_o be_v light_a and_o so_o more_o powerful_a to_o evidence_n this_o a_o little_a more_o let_v we_o imagine_v two_o thing_n first_o the_o tub_n gh_o to_o be_v empty_a as_o if_o vacuity_n be_v in_o it_o in_o this_o case_n the_o top_n of_o the_o tub_n ought_v to_o bear_v the_o whole_a burden_n of_o the_o water_n and_o consequent_o the_o balance_n to_o bear_v it_o also_o because_o there_o be_v not_o a_o potentia_fw-la within_o the_o tub_n to_o counterpoise_v this_o pondus_fw-la next_o let_v we_o imagine_v the_o tub_n to_o be_v only_o full_a of_o water_n according_a to_o this_o supposition_n the_o balance_n can_v be_v in_o the_o least_o part_n burden_v because_o the_o water_n within_o the_o pipe_n press_v it_o up_o with_o as_o much_o force_n as_o the_o water_n ih_v press_v it_o down_o and_o if_o any_o thing_n shall_v burden_v the_o balance_n it_o will_v be_v only_o the_o weight_n of_o the_o pipe_n that_o be_v not_o considerable_a from_o what_o be_v demonstrate_v we_o see_v first_o that_o though_o this_o experiment_n will_v seem_v to_o prove_v at_o the_o first_o that_o a_o heavy_a body_n weigh_v as_o much_o in_o the_o water_n as_o it_o do_v in_o the_o air_n because_o the_o whole_a weight_n of_o the_o mercury_n ab_fw-la be_v find_v in_o the_o scale_n l_o yet_o it_o be_v not_o so_o because_o the_o 14_o ounce_n of_o stone_n l_o do_v not_o counterpoise_v any_o of_o the_o mercury_n ab_fw-la but_o 14_o ounce_n of_o the_o pillar_n of_o water_n bc._n second_o there_o be_v here_o a_o clear_a ground_n for_o assert_v a_o pondus_fw-la and_o a_o potentia_fw-la in_o fluids_n because_o this_o tub_n ab_fw-la be_v press_v down_o with_o the_o water_n bc_n and_o press_v up_o with_o the_o mercury_n within_o it_o three_o there_o be_v here_o a_o clear_a ground_n
for_o assert_v the_o pressure_n of_o water_n even_o in_o its_o own_o place_n because_o the_o water_n bc_n counterpoise_n by_o its_o weight_n the_o 14_o ounce_n of_o stone_n l._n four_o we_o see_v a_o excellent_a way_n for_o find_v the_o weight_n of_o any_o cylinder_n of_o water_n for_o whatever_o be_v the_o weight_n of_o the_o mercury_n in_o the_o tub_n the_o cylinder_n of_o water_n that_o rest_v upon_o the_o top_n will_v be_v of_o the_o same_o weight_n exact_o this_o be_v evident_a in_o compare_v the_o weight_n of_o the_o mercury_n gh_n with_o the_o weight_n of_o the_o water_n he_o five_o that_o whatever_o be_v the_o height_n and_o weight_n of_o a_o pillar_n of_o water_n yet_o the_o balance_n can_v sustain_v no_o more_o of_o it_o than_o the_o just_a weight_n of_o the_o mercury_n this_o be_v also_o evident_a because_o the_o scale_n of_o the_o balance_n support_v no_o more_o of_o the_o weight_n of_o the_o water_n bc_n than_o the_o just_a weight_n of_o the_o mercury_n ab_fw-la we_o see_v sixthly_a the_o further_a down_o a_o pipe_n with_o mercury_n go_v through_o water_n the_o great_a be_v the_o pressure_n it_o make_v upon_o the_o top_n of_o the_o tub_n within_o for_o put_v the_o case_n this_o be_v 100_o foot_n deep_a the_o mercury_n gh_n that_o want_v all_o upward_a pressure_n now_o will_v press_v up_o the_o tub_n with_o 40_o ounce_n the_o mercury_n de_fw-fr with_o 55_o and_o the_o mercury_n ab_fw-la with_o 70._o we_o see_v seventhly_a the_o short_a a_o cylinder_n of_o mercury_n be_v it_o be_v the_o strong_a in_o press_v and_o long_o it_o be_v it_o be_v the_o weak_a for_o there_o be_v more_o strength_n in_o ab_fw-la than_o in_o de._n we_o see_v eighthly_a that_o the_o strength_n decay_v and_o grow_v according_a to_o arithmetical_a progression_n as_o 1_o 2_o 3_o 4_o because_o if_o you_o make_v the_o cylinder_n gh_v 41_o that_o be_v now_o 42_o it_o press_v up_o with_o one_o ounce_n make_v it_o 40_o inch_n it_o will_v press_v up_o with_o two_o ounce_n of_o weight_n make_v it_o 39_o it_o press_v up_o with_o three_o and_o contrariwise_o make_v the_o cylinder_n de_fw-fr 29_o inch_n that_o be_v now_o but_o 28_o it_o will_v press_v up_o with_o 11_o ounce_n only_o with_o 28_o it_o press_v up_o with_o 12._o make_v it_o 30_o inch_n high_a it_o will_v press_v up_o with_o 10._o if_o it_o be_v 31_o inch_n it_o press_v up_o with_o nine_o and_o so_o forward_o last_o make_v the_o cylinder_n ab_fw-la 15_o inch_n that_o be_v now_o but_o 14_o it_o press_v up_o with_o 26_o with_o 14_o it_o press_v up_o with_o 27_o make_v it_o 16_o it_o press_v up_o with_o 25_o make_v it_o 17_o it_o press_v up_o with_o 24._o we_o see_v ninthly_a that_o in_o fluids_n we_o may_v make_v a_o distinction_n between_o a_o sustentation_n and_o a_o equipondium_fw-la it_o be_v evident_a here_o because_o there_o be_v a_o perfect_a equipondium_fw-la between_o the_o 42_o inch_n of_o mercury_n gh_n and_o the_o outward_a water_n that_o be_v 49_o foot_n deep_a but_o it_o be_v not_o so_o between_o the_o say_a water_n and_o the_o mercury_n de_fw-fr because_o the_o say_a water_n be_v able_a to_o raise_v the_o say_a mercury_n 14_o inch_n high_a therefore_o the_o water_n only_o sustain_v the_o mercury_n de_fw-fr but_o counterballance_n the_o mercury_n gh_n we_o see_v tenthly_a that_o the_o pondus_fw-la of_o the_o pillar_n of_o water_n bc_n be_v counterpoise_v by_o two_o distinct_a power_n real_o the_o one_o be_v the_o 14_o ounce_n of_o stone_n in_o the_o scale_n l_o the_o other_o be_v the_o 14_o inch_n of_o mercury_n ab_fw-la that_o as_o real_o thrust_v up_o the_o water_n as_o the_o scale_n k_o pull_v it_o up_o by_o virtue_n of_o the_o opposite_a weight_n eleven_o take_v away_o the_o stone_n l_o and_o you_o will_v find_v the_o pipe_n with_o the_o mercury_n ab_fw-la sink_v down_o this_o happen_v not_o because_o the_o surface_n of_o water_n on_o which_o it_o rest_v be_v not_o able_a to_o sustain_v it_o but_o because_o the_o 14_o ounce_n of_o the_o water_n bc_n that_o be_v support_v by_o the_o stone_n do_v now_o press_v it_o down_o twelve_o the_o more_o a_o body_n be_v unequal_o press_v by_o a_o fluid_a the_o more_o of_o the_o weight_n of_o that_o fluid_n be_v sensible_a and_o the_o more_o equal_o a_o body_n be_v press_v the_o less_o sensible_a be_v the_o weight_n of_o that_o fluid_a this_o be_v evident_a because_o there_o be_v a_o great_a weight_n of_o the_o water_n he_o find_v in_o the_o balance_n it_o take_v 42_o ounce_n to_o counterpoise_v it_o than_o of_o the_o water_n of_o which_o be_v counterpoise_v with_o 28_o ounce_n and_o the_o reason_n be_v because_o the_o top_n of_o the_o tub_n h_n support_v the_o whole_a 39_o ounce_n of_o water_n he_o the_o mercury_n within_o the_o tub_n not_o be_v able_a in_o the_o least_o to_o counterpoise_v it_o or_o thrust_v it_o up_o but_o because_o the_o tub_n de_fw-fr be_v more_o equal_o press_v the_o water_n of_o press_v down_o with_o 40_o and_o the_o mercury_n de_fw-fr press_v up_o with_o 12_o therefore_o less_o weight_n of_o the_o water_n of_o burden_n the_o balance_n only_o 28_o ounce_n hence_o it_o be_v that_o because_o the_o tub_n ab_fw-la be_v more_o equal_o press_v than_o either_o de_fw-fr or_o gh_n there_o be_v less_o of_o the_o weight_n of_o the_o water_n bc_n find_v in_o the_o balance_n only_o 14_o ounce_n thirteen_o if_o in_o the_o instant_n of_o time_n while_o the_o tub_n be_v thus_o suspend_v in_o the_o water_n the_o pressure_n of_o the_o air_n above_o be_v take_v away_o and_o annihilate_v then_o first_o the_o 42_o inch_n of_o mercury_n gh_n will_v fall_v down_o to_o about_o 13_o inch_n second_o the_o 28_o inch_n of_o mercury_n de_fw-fr will_v fall_v down_o to_o as_o many_o and_o last_o the_o 14_o ab_fw-la will_v sink_v down_o to_o the_o same_o height_n the_o reason_n be_v because_o the_o pressure_n of_o the_o air_n be_v equivalent_a to_o 34_o foot_n of_o water_n no_o more_o will_v remain_v but_o 15_o foot_n which_o be_v the_o real_a height_n according_a to_o zm_v but_o 15_o foot_n of_o water_n can_v sustain_v more_o inch_n of_o mercury_n than_o about_o 13._o and_o consequent_o first_o 14_o ounce_n of_o stone_n in_o the_o balance_n will_v counterpoise_v the_o whole_a water_n bc._n the_o reason_n be_v because_o the_o water_n bc_n be_v but_o of_o 14_o ounce_n and_o the_o mercury_n ab_fw-la be_v but_o 13_o inch_n high_a can_v impress_v no_o impulse_n upon_o the_o top_n of_o the_o tub_n within_o that_o be_v 14_o inch_n high_a second_o 13_o ounce_n of_o stone_n in_o the_o scale_n l_o will_v counterpoise_v the_o whole_a water_n of_o see_v of_o be_v but_o 13_o ounce_n three_o the_o same_o weight_n one_o ounce_n be_v deduce_v will_v counterpoise_v the_o water_n he_o because_o in_o this_o case_n it_o weigh_v but_o 12_o ounce_n to_o proceed_v a_o little_a further_o imagine_v the_o pipe_n gh_o to_o be_v suspend_v by_o the_o balance_n as_o the_o pipe_n ab_fw-la be_v and_o then_o a_o little_a hole_n open_v in_o the_o top_n h_n to_o suffer_v the_o water_n to_o come_v in_o till_o the_o mercury_n subside_o 14_o inch_n namely_o from_o q_o to_o o_o imagine_v this_o tub_n to_o be_v the_o other_o and_o then_o stop_v it_o the_o reason_n why_o the_o water_n rush_v in_o and_o press_v down_o the_o mercury_n be_v the_o force_n and_o pressure_n of_o it_o for_o the_o say_a water_n find_v the_o cylinder_n in_o equilibrio_n with_o the_o outward_a water_n present_o by_o its_o own_o weight_n cast_v the_o scale_n which_o be_v easy_o do_v see_v the_o surface_n gsm_n support_v as_o much_o burden_n as_o it_o can_v but_o that_o which_o be_v more_o considerable_a be_v this_o after_o the_o subside_v of_o the_o mercury_n from_o q_o to_o o_o the_o equilibrium_n that_o be_v between_o the_o scale_n of_o the_o balance_n and_o the_o water_n qr_n be_v destroy_v for_o whereas_o 42_o ounce_n be_v require_v before_o 29_o will_n now_o do_v it_o for_o understand_v the_o reason_n of_o this_o consider_v that_o between_o q_o and_o o_o be_v 14_o inch_n of_o water_n rush_v in_o which_o be_v equivalent_a to_o one_o inch_n of_o mercury_n next_o according_a to_o former_a reason_n the_o balance_n must_v support_v 29_o ounce_n of_o the_o water_n qr_n because_o in_o this_o case_n the_o top_n of_o the_o pipe_n within_o be_v press_v up_o with_o the_o weight_n of_o 13_o ounce_n which_o in_o effect_n diminish_v as_o much_o of_o the_o downward_o pressure_n of_o the_o water_n rq_n which_o before_o have_v the_o burden_n of_o 39_o ounce_n but_o why_o be_v the_o tub_n press_v up_o with_o 13_o ounce_n i_o answer_v because_o the_o mercury_n that_o before_o be_v 42_o inch_n be_v now_o but_o 28_o or_o have_a the_o 14_o inch_n of_o water_n qo_n above_o
it_o it_o be_v 29_o therefore_o be_v short_a the_o surface_n gsm_n be_v the_o more_o able_a to_o press_v it_o up_o even_o with_o as_o much_o more_o force_n as_o it_o be_v in_o inch_n short_a in_o the_o second_o place_n let_v in_o as_o much_o water_n more_o as_o will_v depress_v the_o mercury_n other_o 14_o inch_n namely_o from_o o_o to_o p._n in_o this_o case_n 16_o ounce_n of_o stone_n will_v make_v a_o equipondium_fw-la because_o the_o 14_o inch_n of_o mercury_n ps_n and_o the_o 28_o inch_n of_o water_n poq_fw-la be_v a_o far_o light_a burden_n by_o 26_o than_o the_o 4â—_n inch_n of_o mercury_n the_o surface_n gsm_n must_v be_v far_o able_a to_o press_v they_o up_o now_o than_o before_o and_o therefore_o must_v diminish_v as_o much_o of_o the_o downward_o pressure_n of_o the_o water_n qr_n that_o burden_v the_o balance_n as_o themselves_o want_v of_o weight_n see_v then_o the_o whole_a cylinder_n of_o mercury_n and_o water_n together_o be_v but_o equivalent_a for_o weight_n to_o 16_o inch_n of_o mercury_n the_o top_n of_o the_o tub_n within_o must_v be_v press_v up_o with_o 26_o ounce_n and_o therefore_o they_o by_o their_o upward_a pressure_n must_v diminish_v 26_o ounce_n of_o the_o weight_n of_o the_o water_n rq_n that_o weigh_v 39_o last_o let_v in_o so_o much_o water_n as_o will_v depress_v the_o last_o 14_o inch_n ps_n and_o you_o will_v find_v no_o more_o weight_n require_v in_o the_o balance_n to_o make_v a_o equipondium_fw-la than_o counterpoise_v the_o simple_a weight_n of_o the_o tub_n which_o be_v not_o considerable_a the_o reason_n be_v because_o the_o part_n s_o of_o the_o surface_n gsm_n be_v liberate_v of_o the_o burden_n of_o mercury_n and_o sustain_v only_o the_o water_n within_o the_o tub_n instead_o of_o it_o this_o surface_n press_v up_o the_o water_n within_o the_o tub_n and_o consequent_o the_o top_n of_o it_o with_o as_o great_a force_n and_o wâ—ight_n as_o the_o top_n of_o the_o tub_n without_o be_v depress_v with_o the_o outward_a water_n rq_n therefore_o 39_o ounce_n depress_v the_o tub_n and_o 39_o ounce_n press_v it_o up_o the_o balance_n must_v be_v free_v of_o the_o whole_a weight_n of_o water_n rq_n if_o it_o be_v object_v that_o the_o 42_o inch_n of_o water_n q_n be_v equivalent_a in_o weight_n to_o three_o inch_n of_o mercury_n therefore_o the_o part_n of_o the_o surface_n s_o be_v burden_v with_o this_o can_v press_v up_o with_o as_o great_a force_n as_o the_o water_n rq_n press_v down_o for_o answer_v consider_v that_o the_o part_n s_o be_v able_a to_o support_v 42_o ounce_n of_o water_n and_o next_o that_o the_o water_n rq_n weigh_v but_o 39_o then_o i_o say_v see_v the_o 42_o inch_n of_o water_n within_o the_o tub_n weigh_v only_o three_o ounce_n the_o part_n s_o that_o be_v burden_v therewith_o be_v able_a to_o support_v 42_o it_o must_v press_v up_o with_o the_o weight_n of_o 39_o and_o so_o counterbalance_v the_o water_n rq_n if_o it_o be_v inquire_v whether_o or_o not_o will_v the_o 14_o inch_n of_o mercury_n ab_fw-la fall_v down_o a_o small_a hole_n be_v make_v in_o the_o top_n of_o the_o tub_n at_o b_o i_o answer_v they_o will_v if_o it_o be_v object_v that_o these_o 14_o inch_n of_o mercury_n be_v not_o in_o equilibrio_n with_o the_o pressure_n of_o the_o ambient_fw-la water_n as_o the_o mercury_n gh_n and_o therefore_o they_o can_v be_v so_o easy_o depress_v by_o the_o water_n that_o come_v in_o at_o the_o say_a hole_n i_o answer_v they_o must_v all_o fall_v down_o and_o as_o easy_o as_o the_o other_o and_o that_o because_o of_o inequality_n of_o weight_n between_o the_o potentia_fw-la of_o the_o surface_n of_o water_n and_o the_o pondus_fw-la it_o be_v certain_a the_o part_n a_o of_o the_o surface_n can_v support_v more_o weight_n of_o any_o kind_n than_o 42_o ounce_n but_o when_o a_o hole_n be_v open_v in_o b_o and_o the_o water_n come_v in_o it_o be_v then_o burden_v with_o the_o weight_n of_o 14_o ounce_n of_o 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 bc_n 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 gh_o 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 ih_v 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 gh_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 sq_n suffer_v by_o the_o ingress_n of_o the_o water_n qo_n 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 qo_n 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 qo_n 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 a_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 mercury_n subside_v we_o see_v seventhly_a that_o it_o be_v impossible_a for_o two_o fluid_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_n 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 qo_n 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 rq_n after_o the_o ingress_n of_o the_o water_n qop_n than_o after_o the_o ingress_n of_o the_o water_n qo_n we_o see_v ninthly_a that_o when_o a_o body_n be_v equal_o and_o uniform_o press_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 rq_n 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 rq_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 kl_n the_o natural_a be_v the_o pipe_n q_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 ab_fw-la or_o de_fw-fr and_o not_o any_o part_n of_o the_o water_n bc_n or_o ef._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 ihk_v and_o lm_o be_v the_o ground_n of_o it_o cd_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 anb_n which_o be_v distant_a from_o the_o top_n ihk_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 anb_n 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 kb_n 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 kb_n 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 kb_n the_o part_n n_o must_v be_v able_a to_o support_v likewise_o the_o solid_a pillar_n cd_o which_o be_v of_o the_o same_o weight_n if_o it_o be_v object_v that_o the_o part_n n_o sustain_v beside_o the_o brass_n cd_o a_o pillar_n of_o water_n of_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 of_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 anb_n 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 ihk_n 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 anb_n suppose_v the_o air_n to_o come_v down_o and_o fill_v up_o the_o imaginary_a space_n of_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 open_v that_o be_v 34_o foot_n below_o the_o surface_n and_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 cd_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 as_o 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
a_o thin_a be_v this_o because_o if_o a_o pillar_n of_o mercury_n be_v thick_a and_o consequent_o heavy_a than_o iâ—_n take_v a_o broad_a and_o consequent_o a_o strong_a surface_n of_o air_n to_o â—est_n upon_o if_o it_o be_v but_o slender_a and_o so_o but_o light_n than_o it_o take_v a_o lesser_a part_n of_o a_o surface_n to_o bear_v it_o up_o and_o consequent_o a_o weakeâ—_n by_o which_o mean_v the_o pondus_fw-la of_o the_o one_o be_v always_o proportionable_a to_o the_o potentia_fw-la of_o the_o other_o be_v it_o not_o as_o easy_a for_o a_o pillar_n of_o stone_n 6_o foot_n in_o diameter_n to_o support_v another_o six_o foot_n in_o diameter_n as_o it_o be_v for_o a_o pillar_n one_o foot_n in_o diameter_n to_o support_v a_o pillar_n one_o foot_n in_o diameter_n but_o as_o a_o pillar_n one_o foot_n in_o diameter_n can_v support_v a_o pillar_n 6_o foot_n in_o diameter_n neither_o can_v a_o surface_n of_o air_n one_o inch_n in_o diameter_n support_v a_o pillar_n of_o mercury_n 6_o inch_n in_o diameter_n but_o why_o shall_v a_o large_a part_n of_o a_o surface_n be_v strong_a than_o a_o narrow_a part_n i_o answer_v the_o one_o be_v strong_a than_o the_o other_o for_o that_o same_o reason_n why_o a_o thick_a cylinder_n be_v heavy_a than_o a_o thin_a for_o what_o i_o call_v strength_n in_o a_o surface_n it_o be_v nothing_o else_o but_o weight_n and_o what_o i_o call_v weight_n in_o a_o cylinder_n it_o be_v nothing_o else_o but_o strength_n the_o same_o thing_n have_v two_o name_n because_o the_o pillar_n of_o a_o fluid_a press_v down_o and_o the_o surface_n support_v therefore_o in_o the_o one_o it_o be_v call_v pondus_fw-la in_o the_o other_o potentia_fw-la as_o when_o two_o scale_n be_v in_o equilibrio_n either_o this_o or_o that_o may_v be_v call_v the_o pondus_fw-la or_o either_o this_o or_o that_o may_v be_v call_v the_o potentia_fw-la now_o i_o say_v if_o a_o part_n of_o a_o surface_n four_o inch_n broad_a have_v as_o much_o weight_n or_o force_n in_o it_o as_o a_o pillar_n of_o mercury_n four_o inch_n thick_a then_o sure_o a_o part_n of_o a_o surface_n eight_o inch_n broad_a must_v have_v as_o much_o weight_n and_o force_n in_o it_o as_o a_o pillar_n of_o mercury_n eight_o inch_n thick_a but_o why_o ought_v a_o surface_n to_o succumb_v when_o the_o pillar_n grow_v in_o height_n and_o not_o to_o fail_v when_o it_o grow_v only_o in_o breadth_n ans._n when_o it_o grow_v in_o breadth_n the_o pondus_fw-la never_o exceed_v the_o potentia_fw-la but_o when_o it_o become_v high_a than_o it_o become_v heavy_a that_o be_v to_o say_v when_o a_o pillar_n grow_v broad_a there_o be_v not_o one_o part_n of_o the_o surface_n that_o sustain_v it_o more_o burden_v than_o another_o see_v the_o part_n eight_o inch_n broad_a be_v no_o more_o press_v with_o a_o pillar_n eight_o inch_n thick_a than_o the_o part_n four_o inch_n broad_a be_v press_v with_o a_o pillar_n four_o inch_n thick_a as_o eight_o ounce_n of_o lead_n in_o this_o scale_n be_v no_o more_o counterpoise_v with_o eight_o ounce_n in_o the_o other_o scale_n than_o four_o ounce_n in_o this_o scale_n be_v counterpoise_v with_o four_o in_o the_o other_o but_o when_o a_o cylinder_n grow_v in_o height_n the_o pondus_fw-la exceed_v the_o potentia_fw-la one_o part_n of_o a_o surface_n be_v more_o burden_v than_o another_o we_o see_v eleventhly_o that_o in_o a_o large_a surface_n of_o a_o fluid_a wherein_o be_v many_o part_n each_o part_n be_v able_a to_o sustain_v its_o own_o proper_a burden_n so_o a_o part_n eight_o inch_n in_o diameter_n support_v a_o pillar_n eight_o inch_n thick_a and_o a_o part_n four_o inch_n support_v a_o cylinder_n four_o inch_n thick_a but_o can_v support_v a_o pillar_n six_o inch_n thick_a but_o this_o seem_v rather_o to_o slow_a from_o the_o disproportion_n of_o magnitude_n see_v a_o circular_a plain_a 4_o inch_n in_o diameter_n can_v receive_v a_o base_a of_o a_o pillar_n 6_o inch_n in_o diameter_n but_o this_o be_v certain_a from_o the_o very_a nature_n of_o fluids_n that_o in_o a_o deep_a water_n wherein_o may_v be_v distinguish_v 100_o or_o 1000_o different_a surface_n each_o one_o be_v able_a to_o support_v his_o own_o burden_n and_o no_o more_o experiment_n xiii_o figure_n 17_o 18_o 19_o for_o make_v this_o experiment_n take_v two_o plain_a body_n of_o brass_n or_o marble_n well_o polish_v make_v they_o of_o any_o quantity_n but_o for_o this_o present_a use_n let_v each_o of_o they_o be_v four_o inch_n broad_a square_a wise_a upon_o the_o back_n part_n let_v each_o one_o have_v a_o handle_n about_o six_o inch_n long_o of_o the_o same_o metal_n form_v with_o the_o plain_n itself_o in_o the_o sound_n if_o they_o be_v of_o brass_n as_o be_v represent_v in_o this_o schematism_n when_o they_o be_v thus_o prepare_v anoint_v their_o inner-side_n with_o oil_n or_o water_n and_o have_v thrust_v the_o one_o face_n alongst_o upon_o the_o other_o with_o all_o the_o strength_n you_o have_v till_o all_o the_o four_o edge_n agree_v two_o whereof_o be_v represent_v by_o ab_fw-la and_o cd_o you_o will_v find_v they_o cleave_v so_o close_o together_o as_o if_o they_o be_v but_o one_o body_n the_o effect_n be_v this_o that_o ordinary_a strength_n will_v not_o pull_v they_o asunder_o and_o that_o under_o a_o surface_n of_o water_n a_o strong_a pull_n be_v require_v than_o in_o the_o air._n that_o we_o may_v deduce_v some_o hydrostatical_a conclusion_n from_o this_o experiment_n let_v we_o suppose_v these_o two_o plain_a body_n to_o be_v unite_v in_o the_o middle_n of_o the_o water_n ikpq_n that_o be_v 34_o foot_n deep_a and_o suspend_v by_o a_o beam_n or_o long_a tree_n tu_fw-la exist_v in_o the_o air_n near_o the_o top_n of_o the_o water_n by_o a_o chord_n see_fw-la pass_v between_o the_o middle_n of_o the_o beam_n and_o the_o end_n of_o the_o handle_n at_o e._n suppose_v next_o a_o great_a weight_n of_o lead_n r_o 350_o pound_n to_o be_v append_v to_o the_o end_n of_o the_o handle_n at_o h_n of_o the_o under_o plain_a body_n cdno_n this_o do_v i_o affirm_v that_o the_o beam_n tu_fw-la neither_o sustain_v the_o under_o plain_a body_n cdnogh_o nor_o the_o 350_o pound_n weight_n of_o lead_n r_o that_o hang_v down_o from_o the_o handle_n gh_n if_o it_o be_v object_v that_o the_o beam_n support_v the_o upper_a plain_a body_n ablmfe_n therefore_o it_o must_v bear_v the_o weight_n also_o of_o the_o under_o plain_a cdnogh_o with_o the_o weight_n r_o see_v they_o be_v both_o unite_v together_o and_o cleave_v so_o close_o as_o if_o they_o be_v but_o one_o body_n i_o answer_v it_o support_v the_o one_o unquestionable_o but_o not_o the_o other_o to_o explicate_v this_o hydrostatical_a mystery_n i_o must_v aver_v three_o thing_n first_o that_o the_o inferior_a plain_n be_v support_v by_o the_o upward_a pressure_n of_o the_o low_a water_n pqno_n second_o that_o the_o burden_n which_o the_o beam_n sustain_v be_v not_o the_o weight_n of_o the_o under_o plain_a but_o the_o weight_n of_o the_o 34_o foot_n of_o water_n iklm_n three_o that_o this_o weight_n be_v exact_o the_o weight_n of_o the_o inferior_a plain_n and_o lead_v r._n but_o be_v it_o not_o more_o easy_a to_o say_v that_o the_o beam_n support_v both_o the_o plain_n i_o answer_v if_o i_o say_v so_o i_o can_v neither_o affirm_v truth_n nor_o speak_v consequential_o but_o may_v it_o not_o be_v say_v that_o the_o inferior_a plain_n be_v support_v both_o by_o the_o beam_n and_o the_o low_a water_n pqno_n i_o answer_v this_o be_v impossible_a because_o one_o and_o the_o same_o weight_n can_v be_v support_v total_o by_o two_o distinct_a supporter_n for_o make_v these_o assertion_n evident_a i_o must_v suppose_v the_o superior_a water_n iklm_n to_o be_v 34_o foot_n deep_a and_o to_o weigh_v if_o it_o be_v put_v into_o a_o balance_n 400_o pound_n and_o which_o be_v unquestionable_a that_o the_o say_a water_n rest_v upon_o the_o back_n of_o the_o superior_a plain_a lm_o i_o suppose_v second_o that_o the_o low_a water_n pqno_n weigh_v as_o much_o and_o thrust_v up_o the_o inferior_a plain_n with_o as_o great_a weight_n as_o the_o superior_a plain_n be_v press_v down_o with_o by_o the_o superior_a water_n this_o be_v evident_a from_o former_a experiment_n and_o last_o i_o suppose_v each_o plain_n to_o weigh_v two_o pound_n and_o the_o weight_n of_o lead_n r_o 350._o it_o be_v to_o be_v observe_v here_o that_o no_o mistake_n may_v arise_v in_o the_o calculation_n afterward_o that_o though_o it_o be_v say_v this_o 34_o foot_n of_o water_n weigh_v 400_o pound_n yet_o in_o itself_o it_o weigh_v but_o 200_o but_o consider_v the_o pressure_n of_o the_o air_n upon_o ik_fw-mi which_o be_v as_o much_o it_o may_v be_v true_o say_v to_o weigh_v 400._o these_o thing_n be_v premit_v i_o say_v the_o weight_n that_o
the_o beam_n tu_fw-la sustain_v be_v not_o the_o weight_n of_o the_o inferior_a plain_n and_o the_o lead_n r_o but_o 352_o pound_n of_o the_o superior_a water_n iklm_n and_o consequent_o that_o the_o inferior_a plain_n be_v support_v by_o the_o low_a water_n pqno_n the_o reason_n be_v because_o the_o low_a water_n press_v up_o with_o the_o weight_n of_o 48_o pound_n it_o be_v in_o itself_o 400_o pound_n but_o be_v burden_v with_o 352_o it_o can_v thrust_v up_o with_o more_o weight_n than_o 48._o now_o it_o press_v up_o with_o 48_o must_v ease_v the_o beam_n of_o 48_o and_o counterpoise_v so_o much_o of_o the_o superior_a water_n and_o consequent_o the_o beam_n must_v support_v only_o 352_o pound_n of_o it_o but_o put_v the_o case_n you_o say_v the_o weight_n r_o be_v 130_o pound_n 160_o pound_n or_o 180_o pound_n will_v the_o beam_n be_v less_o or_o more_o burden_a with_o the_o superior_a water_n i_o answer_v if_o r_o be_v 130_o pound_n than_o the_o beam_n support_v only_o 132_o pound_n of_o the_o superior_a water_n for_o if_o the_o inferior_a be_v only_o burden_v with_o 130_o the_o weight_n of_o r_o and_o with_o two_o the_o weight_n of_o the_o inferior_a plain_n then_o must_v it_o press_v up_o with_o 368_o and_o by_o this_o mean_n must_v ease_v the_o beam_n of_o so_o much_o it_o sustain_v 132_o pound_n only_o according_a to_o this_o count_a when_o the_o lead_n r_o weigh_v 160_o pound_n the_o beam_n support_v only_o 238_o pound_n of_o the_o superior_a water_n if_o it_o weigh_v 180_o pound_n it_o sustain_v 218._o and_o if_o the_o weight_n r_o be_v take_v away_o the_o beam_n support_v no_o more_o of_o the_o superior_a water_n than_o two_o pound_n to_o proceed_v a_o little_a further_o imagine_v the_o two_o plain_n to_o be_v draw_v up_o 17_o foot_n near_o the_o first_o surface_n ik_fw-mi namely_o as_o high_a as_o zw_n this_o do_v the_o union_n break_v up_o and_o they_o present_o fall_v asunder_o the_o reason_n be_v because_o the_o surface_n zw_n be_v not_o able_a to_o support_v 352_o pound_n but_o only_o 300_o which_o i_o prove_v thus_o if_o 68_o foot_n sustain_v 400_o than_o 51_o foot_n must_v sustain_v 300._o i_o say_v 68_o and_o not_o 34_o because_o as_o be_v note_v the_o pressure_n of_o the_o air_n upon_o the_o surface_n ik_fw-mi be_v equivalent_a to_o other_o 34_o foot_n and_o therefore_o though_o the_o deepness_n of_o this_o water_n between_o ik_fw-mi and_o lm_o be_v but_o 34_o foot_n real_o yet_o it_o be_v 68_o foot_n virtual_o and_o in_o effect_n imagine_v second_o the_o surface_n ik_fw-mi to_o subside_o 17_o foot_n namely_o to_o zw_n in_o this_o case_n the_o union_n be_v break_v also_o and_o the_o low_a plain_n fall_v from_o the_o upper_a the_o reason_n of_o this_o be_v the_o same_o with_o the_o former_a because_o by_o what_o proportion_n you_o diminish_v the_o height_n of_o the_o superior_a water_n by_o that_o same_o proportion_n you_o diminish_v the_o upward_a pressure_n of_o the_o low_a water_n therefore_o if_o you_o subtract_v from_o the_o superior_a water_n 17_o foot_n that_o weigh_v 100_o pound_n you_o subtract_v likewise_o 100_o pound_n from_o the_o inferior_a water_n and_o consequent_o you_o make_v it_o press_v up_o only_o with_o 300_o but_o 300_o be_v not_o able_a to_o counterpoise_v 352._o let_v we_o suppose_v three_o the_o superior_a plain_n and_o the_o superior_a water_n to_o be_v annihilate_v then_o i_o say_v the_o 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 xy_n and_o there_o suspend_v they_o the_o reason_n be_v because_o the_o surface_n xy_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 ik_fw-mi 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 potentia_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 xy_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 that_o be_v 100_o fathom_n deep_a as_o there_o be_v weight_n in_o the_o whole_a pillar_n above_o we_o see_v five_o the_o more_o the_o potentia_fw-la of_o a_o surface_n be_v burden_v the_o more_o sensible_a be_v the_o pondus_fw-la because_o the_o heavy_a you_o make_v the_o lead_n r_o that_o burden_v the_o inferior_a water_n the_o more_o weight_n of_o the_o superior_a water_n rest_v upon_o the_o beam_n we_o see_v sixthly_a the_o more_o unequal_o a_o body_n be_v press_v the_o more_o the_o pressure_n be_v sensible_a for_o understand_v this_o consider_v that_o the_o under-face_n of_o the_o superior_a plain_n be_v more_o and_o less_o press_v according_a to_o the_o more_o and_o less_o weight_n the_o lead_n r_o be_v of_o for_o put_v the_o case_n the_o inferior_a plain_n be_v take_v away_o the_o face_n of_o the_o superior_a plain_n will_v be_v equal_o press_v with_o the_o back_n of_o it_o but_o when_o the_o inferior_a plain_n be_v unite_v to_o it_o the_o pressure_n of_o the_o water_n be_v keep_v off_o by_o which_o mean_v the_o back_n be_v press_v more_o than_o the_o face_n now_o as_o the_o inferior_a plain_n become_v heavy_a and_o heavy_a by_o make_v the_o weight_n r_o more_o and_o more_o weighty_a the_o less_o and_o less_o be_v the_o face_n of_o the_o superior_a plain_n press_v up_o hence_o it_o be_v that_o as_o this_o inequality_n of_o pressure_n become_v great_a and_o great_a so_o the_o weight_n of_o the_o superior_a water_n affect_v the_o beam_n more_o and_o more_o or_o if_o the_o superior_a plain_n be_v a_o sensible_a body_n as_o animal_n be_v it_o will_v find_v the_o back_n of_o it_o more_o and_o more_o burden_a according_a as_o the_o weight_n r_o become_v heavy_a and_o heavy_a we_o see_v seventhly_a that_o water_n weigh_v in_o water_n because_o all_o the_o weight_n the_o beam_n support_v be_v the_o burden_n of_o the_o superior_a water_n and_o not_o the_o burden_n of_o the_o inferior_a plain_n or_o of_o the_o weight_n r._n it_o support_v the_o weight_n also_o of_o the_o superior_a plain_n but_o this_o be_v not_o considerable_a this_o be_v only_o to_o be_v understand_v when_o the_o pressure_n be_v unequal_a for_o if_o the_o upper_a plain_n be_v as_o much_o press_v up_o as_o it_o be_v press_v down_o the_o weight_n of_o the_o superior_a water_n will_v not_o be_v find_v
between_o b_o and_o o_o be_v far_o thick_a than_o the_o water_n kh_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 bg_n 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 abcd_v 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 ab_fw-la 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 ki_v be_v as_o easy_o communicate_v through_o the_o air_n ph_n through_o the_o water_n hb_n and_o through_o the_o stagnant_a mercury_n bd_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 abcd_v 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 ri_n 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 bg_n 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 ki_n can_v sustain_v the_o mercury_n bg_n 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 bg_n 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 ph_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 ki_v 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 go_v which_o be_v the_o pondus_fw-la that_o counterpoise_v the_o air_n sk_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 pillar_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 sk_n counterpoise_n the_o air_n within_o the_o pipe_n go_v the_o water_n kp_fw-mi first_o interveen_n the_o air_n ph_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 sk_n be_v communicate_v and_o send_v down_o through_o the_o water_n ki_v through_o the_o air_n ph_n through_o the_o water_n hb_n through_o the_o stagnant_a mercury_n bd_o and_o up_o through_o the_o suspend_v mercury_n bg_n 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 ki_v that_o be_v but_o half_a a_o inch_n thick_a to_o the_o mercury_n bg_n 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 ki_v be_v under_o a_o necessity_n to_o counterpoise_v the_o mercury_n bg_n 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 bg_n be_v 14_o time_n low_a than_o boy_n 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 bg_n counterpoise_v ki_v 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 ki_n may_v be_v equal_a to_o the_o mercury_n bg_n in_o thickness_n then_o sure_o the_o one_o
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 same_o 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 ce_fw-fr and_o dg_n within_o the_o two_o tub_n so_o there_o be_v here_o also_o two_o pillar_n of_o mercury_n ap_n and_o bq_n 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 ap_n be_v just_o equal_a to_o the_o pondus_fw-la of_o the_o pillar_n eca_n item_n that_o the_o potentia_fw-la of_o the_o pillar_n bq_n be_v equal_a to_o the_o pondus_fw-la gdb_fw-la three_o that_o the_o potentia_fw-la of_o ap_n be_v most_o exact_o equal_v to_o the_o potentia_fw-la of_o bq_n 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 ap_n be_v equal_a to_o eca_n and_o bq_n equal_a to_o gdb_v and_o ap_n and_o bq_n equal_a among_o themselves_o then_o must_v eca_n be_v equal_a to_o gdb_v 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 eca_n to_o be_v far_o heavy_a than_o gdb_n 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 aec_fw-la be_v just_a the_o weight_n of_o the_o water_n that_o press_v upon_o xyo_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 aec_fw-la than_o the_o part_n x_o be_v press_v with_o the_o water_n lzx_n 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 ap_n sustain_v eca_n as_o easy_o as_o bq_n sustain_v gdb_n six_o 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 ap_n that_o sustain_v the_o pondus_fw-la of_o eca_n the_o water_n likewise_o that_o sustain_v have_v a_o potentia_fw-la and_o the_o mercury_n aec_fw-la 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 ap_n equal_a to_o the_o pondus_fw-la eca_n eight_o 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 ap._n for_o make_v this_o water_n deep_o and_o you_o augment_v the_o potentia_fw-la of_o ap._n if_o you_o subtract_v from_o it_o the_o potentia_fw-la of_o ap_n grow_v less_o by_o proportion_n or_o the_o weight_n of_o eca_n may_v be_v say_v to_o beget_v the_o potentia_fw-la of_o ap._n to_o proceed_v a_o little_a further_o let_v we_o suppose_v the_o air_n he_o 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 ig_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 ln_o 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 he_o and_o the_o weight_n of_o the_o air_n that_o rest_v upon_o ln_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 he_o be_v far_o narrow_a than_o ln_o 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 ln_o be_v send_v down_o through_o the_o water_n lzx_n 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 ln_o raise_v 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 fiâ—st_v 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 xyo_n 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 aec_fw-la 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 fig._n 18_o pag._n 116_o fig._n 19_o pag._n 119_o fig._n 20_o pag._n 126_o fig._n 21_o pag._n 132_o fig._n 22_o pag._n 137_o 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
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 bu_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 so_o 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 pondus_fw-la 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 gk_n that_o be_v more_o and_o less_o as_o the_o pressure_n of_o the_o water_n km_n 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 kg_o be_v under_o the_o water_n km_n 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 km_n 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 km_n 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 the_o weight_n of_o the_o water_n ih_v because_o it_o rest_v not_o upon_o the_o glass_n within_o but_o be_v sustain_v by_o '_o its_o own_o surface_n the_o mouth_n of_o the_o glass_n be_v downward_o and_o open_a when_o i_o say_v water_n do_v not_o weigh_v in_o water_n the_o meaning_n be_v not_o that_o water_n want_v weight_n or_o pressure_n in_o it_o but_o that_o this_o weight_n and_o pressure_n be_v not_o find_v as_o the_o weight_n and_o pressure_n of_o other_o body_n be_v find_v while_o they_o be_v weigh_v in_o water_n for_o example_n a_o piece_n of_o lead_n or_o gold_n hang_v in_o the_o water_n by_o a_o 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 km_n 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 counterpoise_v by_o the_o weight_n of_o the_o water_n without_o whereupon_o the_o bottom_n of_o the_o glass_n rest_v that_o be_v to_o say_v as_o there_o be_v a_o pillar_n of_o water_n km_n within_o the_o glass_n that_o press_v down_o the_o bottom_n so_o there_o be_v a_o pillar_n of_o water_n without_o the_o glass_n whereupon_o the_o bottom_n of_o the_o glass_n rest_v and_o which_o bear_v up_o both_o but_o the_o great_a difficulty_n be_v this_o the_o further_a down_o the_o glass_n go_v it_o grow_v the_o heavy_a because_o of_o more_o and_o more_o water_n that_o creep_v in_o at_o g._n now_o it_o be_v certain_a the_o weight_n q_n grow_v not_o heavy_a therefore_o it_o must_v be_v the_o water_n within_o the_o glass_n that_o make_v the_o increase_n of_o the_o weight_n and_o therefore_o water_n must_v still_o weigh_v in_o water_n if_o this_o argument_n have_v any_o strength_n in_o it_o it_o will_v prove_v the_o weight_n of_o the_o water_n ih_v to_o gravitat_fw-la and_o weigh_v likewise_o because_o the_o further_a down_o this_o glass_n go_v it_o grow_v the_o heavy_a because_o of_o more_o and_o more_o water_n that_o creep_v up_o from_o h_n to_o i._o now_o it_o be_v certain_a the_o weight_n of_o lead_n b_o grow_v not_o heavy_a behold_v the_o difficulty_n be_v the_o same_o in_o both_o and_o yet_o it_o be_v rashness_n to_o affirm_v the_o water_n ih_v to_o be_v find_v by_o a_o man_n hand_n when_o he_o pull_v up_o the_o glass_n with_o a_o string_n see_v it_o be_v sustain_v by_o its_o own_o surface_n and_o not_o by_o any_o part_n of_o the_o glass_n though_o this_o may_v suffice_v for_o a_o answer_n yet_o because_o the_o contrary_n be_v mantain_v by_o some_o and_o that_o with_o a_o new_a experiment_n to_o prove_v it_o i_o shall_v be_v at_o some_o more_o pain_n to_o vindicat_fw-la the_o truth_n of_o what_o i_o have_v say_v this_o new_a experiment_n to_o prove_v that_o water_n weigh_v in_o water_n i_o find_v in_o a_o philosophical_a transaction_n of_o august_n 16._o anno_fw-la 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 reduce_v the_o balance_n to_o a_o equilibrium_n then_o take_v out_o the_o bubble_n with_o the_o water_n in_o it_o we_o do_v by_o the_o help_n of_o a_o flame_n of_o a_o candle_n wary_o apply_v drive_v out_o the_o water_n which_o otherwise_o be_v not_o easy_o exclude_v at_o a_o very_a narrow_a stem_n into_o a_o glass_n counterpoise_v before_o and_o we_o find_v it_o as_o we_o expect_v to_o weigh_v about_o four_o drachm_n and_o 30_o grain_n beside_o some_o little_a that_o remain_v in_o the_o egg_n and_o some_o small_a matter_n that_o may_v have_v be_v rarify_v into_o vapour_n which_o add_v to_o the_o piece_n of_o glass_n that_o be_v break_v off_o under_o water_n and_o lose_v there_o may_v very_o well_o amount_v to_o 7_o or_o 8_o grain_n by_o which_o it_o appear_v not_o only_o that_o water_n have_v some_o weight_n in_o water_n but_o that_o it_o weigh_v very_o near_o or_o altogether_o as_o much_o in_o water_n as_o the_o self_n same_o portion_n of_o liquor_n will_v weigh_v in_o the_o air._n 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 counterpoised_a 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 glass-bubble_n than_o be_v epfr_n the_o stem_n be_v hc_a the_o weight_n that_o sink_v the_o glass_n be_v b._n the_o surface_n of_o water_n 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air_n within_o the_o ark_n be_v contract_v according_a to_o that_o same_o measure_n must_v the_o addition_n of_o air_n be_v to_o the_o rope_n if_o it_o be_v say_v that_o bladder_n full_a of_o wind_n can_v go_v down_o through_o the_o water_n without_o burst_v i_o answer_v it_o be_v a_o mistake_n because_o their_o side_n be_v pliable_a and_o not_o stiff_a like_o the_o side_n of_o a_o timber_n vessel_n they_o yield_v and_o therefore_o can_v burst_v it_o be_v observable_a that_o when_o a_o bladder_n go_v far_o down_o the_o side_n become_v flaccid_a and_o slag_a in_o this_o case_n the_o air_n that_o before_o have_v the_o form_n of_o the_o
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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 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support_v namely_o the_o water_n eglantine_n 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_v lm_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 lm_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 fh_v if_o it_o be_v say_v the_o air_n lm_o must_v be_v thick_a see_v its_o equal_a to_o the_o tub_n without_o but_o the_o air_n fh_v be_v only_o equal_a to_o the_o tub_n within_o i_o answer_v it_o be_v so_o indeed_o but_o here_o be_v a_o solution_n to_o the_o difficulty_n i_o do_v not_o find_v the_o whole_a weight_n of_o the_o air_n lm_o but_o only_o as_o much_o of_o it_o as_o be_v equal_a to_o fh_v suppose_v the_o tub_n to_o be_v 12_o inch_n within_o from_o side_n to_o side_n and_o 16_o without_o from_o side_n 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1071_o stone_n weight_n it_o may_v be_v inquire_v next_o what_o be_v the_o weight_n of_o the_o air_n that_o burden_v the_o pavement_n of_o this_o parlour_n that_o be_v 16_o foot_n square_a i_o answer_v 487424_o pound_n because_o it_o be_v exact_o the_o weight_n of_o a_o bulk_n of_o water_n 34_o foot_n high_a and_o 16_o foot_n thick_a it_o be_v to_o be_v remember_v that_o though_o the_o pressure_n of_o it_o be_v so_o much_o yet_o be_v pour_v into_o the_o scale_n of_o a_o balance_n it_o will_v not_o weigh_v so_o much_o for_o not_o only_o as_o much_o as_o fill_v the_o room_n must_v be_v take_v but_o as_o much_o as_o pass_v from_o the_o pavement_n to_o the_o
by_o the_o least_o conceivable_a power_n as_o the_o earth_n by_o the_o force_n of_o a_o man_n hand_n but_o how_o be_v it_o possible_a to_o contrive_v artificial_o a_o engine_n for_o that_o purpose_n which_o will_v do_v that_o by_o art_n which_o the_o demonstration_n make_v evident_a by_o reason_n it_o be_v think_v a_o great_a enterprise_n when_o pope_n sixtus_n the_o five_o transport_v a_o obelisk_n which_o have_v be_v long_o since_o dedicate_v to_o the_o memory_n of_o julius_n cesar_n from_o the_o left_a side_n of_o the_o vatican_n to_o a_o more_o eminent_a place_n 100_o foot_n distant_a but_o to_o raise_v a_o ship_n of_o 1000_o tun_n entire_o nay_o a_o weight_n 100_o time_n great_a be_v sure_o asleep_o far_o great_a enterprise_n this_o invention_n be_v so_o much_o the_o more_o admirable_a that_o not_o only_o by_o it_o any_o suppose_a weight_n may_v be_v lift_v but_o from_o any_o deepness_n though_o this_o perhaps_o can_v be_v do_v mechanical_o because_o of_o some_o physical_a or_o 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of_o water_n lk_n be_v equal_o and_o uniform_o press_v for_o with_o what_o weight_n the_o outward_a water_n ml_o and_o hk_v press_v the_o say_a surface_n with_o the_o same_o weight_n do_v the_o air_n within_o the_o two_o pipe_n press_v it_o to_o the_o second_o part_n i_o answer_v the_o water_n ascend_v because_o the_o same_o surface_n the_o orifice_n e_z and_o f_o be_v open_v be_v unequal_o press_v for_o the_o outward_a water_n ml_o and_o hk_v press_v it_o more_o than_o the_o air_n within_o the_o pipe_n do_v the_o difficulty_n only_o be_v why_o it_o be_v equal_o press_v the_o orifice_n e_o and_o f_o be_v stop_v and_o why_o it_o be_v unequal_o press_v the_o say_a orifice_n be_v once_o open_v to_o unloose_v the_o knot_n i_o must_v show_v the_o reason_n why_o the_o air_n within_o the_o pipe_n press_v the_o surface_n lk_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 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imaginary_a surface_n it_o rest_v upon_o with_o as_o great_a weight_n as_o the_o outward_a water_n press_v the_o part_n it_o rest_v upon_o but_o when_o the_o orifice_n e_o be_v open_v the_o outward_a water_n ml_o and_o hk_v press_v the_o imaginary_a surface_n lk_v more_o than_o the_o air_n within_o the_o pipe_n can_v do_v and_o the_o reason_n be_v because_o by_o open_v the_o orifice_n above_o the_o internal_a air_n that_o suffer_v a_o degree_n of_o bensil_n more_o than_o ordinary_a present_o be_v free_v and_o consequent_o become_v of_o less_o force_n and_o weight_n which_o the_o water_n find_v that_o have_v a_o little_a enter_v the_o orifice_n i_o instant_o ascend_v to_o g_z it_o be_v less_o press_v than_o the_o water_n without_o the_o pipe_n now_o the_o reason_n 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 mgh_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 hk_n 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 egi_fw-la 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 nq_fw-fr 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 xs_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 ml_o aught_o to_o sustain_v the_o inward_a give_v but_o can_v see_v why_o the_o outward_a air_n tzs_n and_o vrx_n aught_o to_o sustain_v the_o inward_a mercury_n rx_n 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 than_o tzs_n and_o vrx_n 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 rx_n and_o zs_n 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 end_n q_n 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 torricellian_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 rest_n upon_o the_o surface_n mh_o 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 eglantine_n 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 mgh_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 fk_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 mh_o 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 mh_o 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 mh_o 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'it_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 dehk_v the_o second_o that_o be_v imaginary_a be_v li_z six_o foot_n below_o it_o the_o three_o of_o the_o same_o kind_n be_v mg_n six_o foot_n low_o the_o four_o be_v nfo_n six_o foot_n yet_o low_o the_o last_o and_o low_a be_v abc_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 da_fw-la 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 of_o and_o then_o you_o shall_v see_v as_o the_o
orifice_n m_o coming_z up_o from_o 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 six_o 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 pm_n 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 yn_n if_o then_o the_o water_n pm_n be_v three_o foot_n and_o a_o half_a the_o weight_n of_o the_o enclose_a air_n tp_n 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 oi_o be_v suspend_v and_o by_o the_o same_o pressure_n be_v the_o water_n pm_n 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 oi_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 hik_fw-mi it_o press_v upward_o also_o while_o it_o support_v the_o water_n pm_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 pm_n 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 pm_n 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 abcde_v and_o fill_v it_o with_o water_n and_o a_o glass-pipe_n such_o as_o gfd_n 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 ab_fw-la i_o answer_v the_o heat_n have_v raâ—ified_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 ab_fw-la 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 cde_v 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 cde_v 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 gf_n and_o the_o pondus_fw-la of_o the_o water_n fd_v together_o become_v equal_a to_o the_o potentia_fw-la of_o the_o surface_n cde_v that_o sustain_v they_o for_o a_o second_o trial_n bring_v a_o hot_a coal_n neat_a 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 ab_fw-la 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 cde_v 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 gf_n may_v be_v make_v strong_a by_o heat_n to_o the_o expulsion_n of_o the_o water_n fd_n yet_o if_o this_o rarefaction_n 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 u.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 clear_a from_o the_o bensil_n of_o the_o air_n gf_n which_o in_o effect_n counterpoise_v the_o weight_n of_o the_o whole_a
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 dce_n 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 ab_fw-la six_o 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 gf_n then_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 fb_n 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 dce_n 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 sort_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 ih_v 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 ih_v that_o rest_v upon_o on_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 ih_v 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 ih_o being_n of_o the_o same_o weight_n with_o the_o mercury_n gf_n 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 fb_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 ih_v 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 gf_n be_v of_o the_o same_o 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the_o same_o degree_n of_o power_n and_o force_n whatever_o the_o deepness_n be_v four_o that_o in_o fluids_n the_o pressure_n be_v uniform_a because_o the_o air_n of_o the_o ark_n and_o the_o water_n without_o press_v most_o equal_o one_o against_o the_o other_o five_o the_o more_o that_o the_o air_n be_v bend_v it_o be_v the_o more_o difficult_a to_o bend_v it_o and_o consequent_o that_o the_o diminution_n of_o the_o quantity_n be_v according_a to_o unequal_a proportion_n six_o that_o when_o the_o ark_n be_v down_o 34_o foot_n the_o bensil_n of_o the_o air_n be_v double_v and_o tripled_a when_o it_o be_v down_o 68_o foot_n because_o the_o pressure_n of_o 34_o foot_n of_o water_n be_v as_o much_o as_o the_o whole_a pressure_n that_o be_v from_o the_o atmosphere_n if_o it_o be_v inquire_v how_o much_o weight_n rest_v upon_o the_o palm_n of_o a_o man_n hand_n when_o the_o ark_n be_v down_o about_o 68_o foot_n i_o answer_v the_o pressure_n of_o the_o water_n upon_o a_o man_n hand_n at_o 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man_n be_v 14_o or_o 15_o fathom_n down_o at_o every_o inspiration_n and_o expiration_n his_o breast_n and_o belly_n must_v lift_v up_o the_o weight_n of_o 1800_o pound_n because_o if_o the_o whole_a burden_n be_v 40000_o the_o weight_n that_o rest_v upon_o the_o breast_n and_o belly_n will_v be_v about_o 1800._o nine_o that_o between_o every_o inspiration_n and_o expiration_n there_o happen_v a_o perfect_a counterpoise_n namely_o by_o the_o air_n that_o go_v into_o the_o lung_n and_o the_o outward_a air_n of_o the_o ark_n for_o if_o the_o pressure_n of_o the_o one_o be_v more_o than_o the_o pressure_n of_o the_o other_o there_o can_v be_v no_o motion_n of_o the_o lung_n ten_o when_o a_o man_n draw_v his_o breath_n the_o air_n come_v not_o in_o by_o suction_n but_o by_o pulsion_n for_o this_o cause_n though_o the_o windpipe_n be_v stop_v yet_o a_o man_n may_v live_v by_o have_v a_o hole_n in_o his_o side_n go_v into_o the_o lung_n last_o that_o there_o be_v no_o such_o thing_n as_o suction_n proper_o and_o therefore_o the_o motion_n of_o all_o fluid_a body_n be_v cause_v by_o pressure_n and_o weight_n the_o motion_n of_o the_o blood_n then_o through_o the_o heart_n be_v drive_v and_o not_o suct_v infant_n proper_o do_v not_o suck_v but_o have_v the_o milk_n squeeze_v into_o their_o mouth_n it_o be_v evident_a from_o the_o sucking-glass_n that_o some_o woman_n use_v for_o milk_v their_o own_o breast_n for_o by_o help_n of_o this_o the_o air_n that_o guard_v the_o head_n of_o the_o pap_n be_v remove_v and_o so_o the_o air_n that_o press_v the_o part_n about_o and_o without_o squeeze_v out_o the_o milk_n fig._n 25_o pag._n 179_o experiment_n xix_o figure_n 26._o this_o figure_n
represent_v a_o deep_a water_n who_o first_o and_o visible_a surface_n be_v fg._n the_o imaginary_a surface_n be_v elc_a 34_o foot_n below_o it_o adb_n be_v a_o siphon_n work_v below_o this_o water_n with_o mercury_n ael_n be_v a_o vessel_n with_o stagnant_a mercury_n among_o which_o the_o orifice_n a_o be_v drown_v the_o other_o orifice_n b_o exist_v among_o the_o water_n dm_o be_v the_o height_n of_o the_o siphon_n above_o the_o line_n of_o level_n which_o i_o suppose_v be_v 58_o inch_n for_o make_v it_o work_v stop_v the_o two_o orifice_n close_o and_o pour_v in_o as_o much_o mercury_n at_o a_o hole_n make_v at_o d_o as_o will_v fill_v both_o the_o leg_n then_o stop_v the_o say_a hole_n open_v the_o two_o orifice_n a_o and_o b_o and_o you_o will_v find_v the_o liquor_n run_v as_o long_o out_o at_o b_o as_o there_o be_v any_o almost_o in_o the_o vessel_n ael_n for_o evince_v this_o which_o be_v the_o only_a difficulty_n consider_v that_o if_o this_o siphon_n be_v fill_v with_o water_n and_o make_v to_o work_v only_o with_o air_n as_o be_v clear_a from_o daily_a experience_n the_o liquor_n will_v run_v out_o constant_o at_o b._n because_o there_o be_v here_o a_o unequal_a pressure_n the_o surface_n of_o air_n nb_n be_v more_o burden_v than_o the_o surface_n elc_n but_o where_o unequal_a pressure_n be_v in_o fluid_n according_a to_o the_o 12_o theorem_n motion_n must_v follow_v i_o prove_v the_o surface_n nb_n to_o be_v more_o burden_v than_o the_o surface_n elc_n because_o the_o water_n bd_o be_v heavy_a than_o the_o water_n ld_n as_o be_v evident_a to_o the_o eye_n the_o air_n b_o therefore_o sustain_v far_o more_o weight_n than_o the_o air_n el_fw-es mus_fw-la cede_fw-la and_o yield_v next_o there_o be_v here_o a_o pondus_fw-la and_o a_o potentia_fw-la the_o pondus_fw-la be_v the_o water_n ld_n the_o potentia_fw-la by_o which_o it_o be_v counterpoise_v be_v the_o water_n bd_o but_o these_o be_v unequal_a bd_o be_v heavy_a than_o ld_n therefore_o according_a to_o the_o 33_o theorem_fw-la these_o two_o fluid_n can_v cease_v from_o motion_n if_o it_o be_v say_v that_o the_o surface_n nb_n be_v strong_a than_o the_o surface_n elc_n see_v it_o be_v low_a i_o answer_v the_o difference_n be_v so_o unsensible_a that_o they_o may_v be_v judge_v but_o one_o now_o i_o say_v if_o this_o siphon_n work_n in_o air_n with_o water_n it_o must_v likewise_o work_n in_o water_n with_o mercury_n therefore_o this_o siphon_n be_v 34_o foot_n below_o the_o first_o surface_n fg_v the_o liquor_n must_v run_v out_o constant_o at_o b._n because_o there_o be_v here_o a_o unequal_a pressure_n the_o surface_n of_o water_n nb_n be_v more_o burden_v than_o the_o surface_n elc._n though_o there_o be_v more_o weight_n in_o nb_n than_o in_o elc_n because_o it_o be_v low_a yet_o because_o the_o difference_n be_v not_o so_o much_o as_o be_v between_o the_o weight_n of_o bd_o and_o the_o weight_n of_o ld_n it_o prove_v nothing_o note_v here_o that_o so_o long_o as_o d_o be_v within_o 58_o inch_n of_o el_n c_o this_o siphon_n will_v work_v the_o reason_n be_v because_o the_o pressure_n of_o 34_o foot_n of_o water_n with_o the_o pressure_n of_o the_o air_n upon_o fg_v be_v able_a to_o raise_v mercury_n exact_o 58_o inch_n but_o if_o d_o exceed_v that_o height_n no_o art_n will_v make_v the_o liquor_n run_v out_o at_o b._n note_v second_o that_o this_o siphon_n will_v operate_v with_o air_n and_o water_n though_o the_o top_n d_o be_v 34_o foot_n above_o m_n and_o the_o reason_n be_v because_o the_o pressure_n of_o the_o air_n be_v able_a to_o raise_v a_o pillar_n of_o water_n to_o that_o height_n note_n three_o that_o if_o there_o be_v a_o orifice_n open_v at_o c_o upon_o the_o level_a line_n elc_n the_o two_o water_n will_v become_v of_o the_o same_o weight_n the_o one_o not_o be_v able_a to_o move_v the_o other_o if_o you_o bear_v a_o hole_n at_o r_o the_o liquor_n ascend_v from_o r_z to_z d_o and_o go_v down_o from_o d_o to_o a_o and_o so_o the_o motion_n end_v but_o if_o the_o leg_n ad_fw-la be_v six_o time_n wide_a than_o bd_o the_o liquor_n will_v not_o run_v out_o at_o b._n i_o shall_v answer_v this_o in_o the_o close_a from_o this_o experiment_n we_o see_v first_o that_o the_o motion_n of_o fluid_a body_n up_o through_o pump_n and_o siphons_n be_v not_o for_o shune_v vacuity_n but_o because_o they_o be_v press_v up_o violent_o we_o see_v next_o that_o when_o the_o pressure_n be_v uniform_a there_o be_v no_o motion_n in_o fluids_n but_o assoon_o as_o one_o part_n be_v more_o press_v than_o another_o motion_n begin_v because_o this_o siphon_n will_v not_o operate_v if_o the_o orifice_n be_v make_v in_o c_o but_o if_o so_o be_v it_o be_v in_o d_o than_o the_o motion_n begin_v because_o there_o be_v here_o a_o unequal_a pressure_n which_o be_v not_o in_o the_o other_o we_o see_v three_o that_o fluids_n have_v a_o determinate_a sphere_n of_o activity_n to_o which_o they_o be_v able_a to_o press_v and_o no_o further_o because_o this_o water_n be_v not_o able_a to_o press_v mercury_n high_o than_o 58_o inch_n so_o the_o air_n can_v raise_v water_n high_o than_o 34_o foot_n if_o this_o water_n be_v 68_o foot_n deep_a the_o sphere_n of_o its_o activity_n will_v be_v 116_o inch_n we_o see_v four_a that_o in_o fluids_n there_o be_v a_o pondus_fw-la and_o a_o potentia_n and_o that_o the_o inequality_n of_o weight_n between_o the_o two_o be_v the_o only_a cause_n of_o motion_n we_o see_v five_o that_o as_o long_o as_o this_o inequality_n of_o weight_n continue_v as_o long_o continue_v the_o motion_n because_o as_o long_o as_o bd_o be_v heavy_a than_o ld_n the_o motion_n persevere_fw-la we_o see_v sixthly_a the_o possibility_n of_o a_o perpetual_a motion_n in_o fluids_n because_o the_o liquor_n run_v perpetual_o out_o at_o b._n if_o it_o be_v say_v the_o motion_n end_v when_o the_o stagnant_a mercury_n ael_n fail_v i_o answer_v this_o stop_n be_v only_o accidental_a and_o not_o essential_o from_o the_o nature_n of_o fluids_n if_o it_o be_v inquire_v whether_o or_o not_o will_v the_o mercury_n run_v out_o at_o b_o upon_o supposition_n the_o shank_n ld_n be_v twice_o as_o wide_o as_o the_o shank_n bd_o i_o answer_v it_o will_v if_o it_o be_v say_v that_o the_o one_o be_v far_o heavy_a than_o the_o other_o namely_o ld_n than_o db._n i_o answer_v weight_n in_o fluids_n be_v not_o count_v according_a to_o thickness_n but_o according_a to_o altitude_n experiment_n xx._n figure_n 27._o this_o last_o be_v for_o demonstrate_v the_o precise_a and_o just_a weight_n of_o any_o pillar_n of_o air_n water_n mercury_n or_o of_o any_o other_o fluid_a body_n if_o some_o of_o their_o dimension_n be_v but_o once_o know_v ab_fw-la then_o be_v a_o square_a pipe_n 12_o foot_n high_a and_o six_o inch_n in_o wideness_n full_a of_o water_n rest_v upon_o the_o surface_n of_o air_n ac_fw-la and_o eglantine_n be_v a_o square_a pipe_n 12_o foot_n high_a and_o 12_o inch_n wide_a full_a of_o water_n rest_v upon_o the_o surface_n of_o air_n ef._n none_o needs_o to_o doubt_v but_o the_o two_o water_n will_v be_v suspend_v after_o this_o manner_n even_o though_o the_o orifice_n a_o and_o e_o be_v downward_o especial_o if_o they_o be_v guard_v with_o water_n but_o the_o demonstration_n will_v be_v the_o more_o evident_a that_o we_o suppose_v the_o two_o pillar_n of_o water_n to_o be_v suspend_v as_o they_o be_v from_o this_o experiment_n i_o say_v first_o that_o the_o pillar_n of_o air_n cd_o be_v 168_o pound_n weight_n at_o least_o which_o i_o prove_v thus_o the_o water_n ab_fw-la be_v 168_o pound_n therefore_o the_o air_n cd_o must_v be_v as_o much_o i_o prove_v the_o antecedent_n because_o it_o be_v a_o pillar_n of_o water_n 12_o foot_n high_a and_o six_o inch_n thick_a but_o every_o half_a cubical_a foot_n of_o water_n that_o contain_v 216_o inch_n weigh_v seven_o pound_n therefore_o see_v the_o pillar_n be_v 12_o foot_n it_o must_v contain_v 24_o half_a foot_n but_o 24_o time_n 7_o be_v 168._o the_o only_a difficulty_n be_v to_o prove_v the_o connexion_n which_o i_o do_v thus_o from_o the_o seven_o theor._n all_o the_o part_n of_o a_o fluid_a in_o the_o same_o horizontal_n line_n be_v equal_o press_v but_o so_o it_o be_v that_o the_o part_n a_o and_o the_o part_n c_o be_v in_o the_o same_o horizontal_a surface_n therefore_o the_o part_n a_o and_o the_o part_n c_o be_v equal_o press_v but_o if_o the_o part_n a_o and_o the_o part_n c_o be_v equal_o press_v the_o pillar_n of_o air_n cd_o must_v be_v as_o heavy_a as_o the_o pillar_n of_o water_n ab_fw-la i_o say_v second_o that_o the_o pillar_n of_o air_n fh_o weigh_v 672_o pound_n i_o prove_v it_o thus_o
the_o water_n eglantine_n weigh_v 672_o pound_n therefore_o the_o air_n fh_v weigh_v as_o much_o the_o antecedent_n be_v clear_a because_o eglantine_n be_v a_o square_a pillar_n of_o water_n 12_o foot_n high_a and_o 12_o inch_n thick_a but_o every_o cubical_a foot_n of_o water_n weigh_v 56_o pound_n but_o 12_o time_n 56_o be_v 672._o i_o prove_v the_o connexion_n as_o before_o all_o the_o part_n of_o a_o horizontal_a surface_n be_v equal_o press_v therefore_o the_o part_n f_o must_v sustain_v as_o much_o burden_n as_o the_o part_n e._n to_o proceed_v a_o little_a further_o let_v we_o suppose_v the_o pipe_n ab_fw-la to_o be_v 34_o foot_n high_a and_o the_o pipe_n eglantine_n to_o be_v as_o much_o i_o assert_v then_o three_o the_o pillar_n of_o air_n cd_o to_o weigh_v 476_o pound_n which_o i_o prove_v 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 ab_fw-la 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 fh_o 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_o the_o water_n therefore_o eglantine_n weigh_v 1904_o pound_n the_o air_n fh_v 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 eglantine_n must_v weigh_v 1904_o pound_n let_v we_o suppose_v second_o the_o tub_n ab_fw-la to_o be_v only_o 29_o inch_n high_a and_o the_o tub_n eglantine_n 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 cd_o to_o weigh_v yet_o 476_o pound_n and_o the_o air_n fh_v to_o weigh_v 1904_o pound_n because_o the_o pillar_n of_o mercury_n ab_fw-la weigh_v 476_o pound_n and_o the_o pillar_n of_o mercury_n eglantine_n weigh_v 1904_o pound_n therefore_o if_o ab_fw-la be_v 476_o cd_o must_v be_v as_o much_o and_o if_o eglantine_n be_v 1904_o fh_o must_v be_v of_o the_o same_o weight_n i_o prove_v the_o mercury_n ab_fw-la 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 eglantine_n 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 eglantine_n be_v 34_o foot_n high_a to_o 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follow_v i_o have_v find_v the_o height_n but_o 27_o inch_n and_o five_o ten_o part_n in_o which_o time_n there_o be_v abundance_n of_o rain_n observation_n fourteen_o november_n 7._o 1670._o i_o make_v exact_a trial_n with_o the_o magnetic_a needle_n for_o know_v the_o variation_n and_o i_o find_v it_o vary_v from_o the_o north_n three_o degree_n and_o a_o half_a towards_o the_o west_n hevelius_n write_v from_o dantzick_n to_o the_o royal_a society_n at_o london_n july_n 5._o 1670_o that_o it_o vary_v with_o he_o seven_o degree_n twenty_o minute_n west_n observation_n xv._n december_n 17._o 1669_o i_o observe_v with_o a_o large_a quadrant_n half_o 9_o a_o clock_n at_o night_n the_o foremost_a guard-star_n when_o it_o be_v in_o the_o meridian_n and_o low_a to_o have_v 41_o degree_n 22_o minute_n of_o altitude_n and_o on_o january_n 7._o 1670_o at_o 7_o a_o clock_n in_o the_o morning_n i_o find_v it_o when_o it_o be_v in_o the_o meridian_n and_o high_a to_o have_v 70_o degree_n 27_o 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her_o head_n her_o golden_a hair_n be_v turn_v into_o serpent_n by_o minerva_n for_o pollute_v her_o temple_n with_o neptune_n whosoever_o look_v on_o she_o after_o this_o be_v turn_v into_o stone_n perseus_n fall_v into_o trouble_n of_o mind_n for_o kill_v accidental_o his_o grandfather_n acrisius_n be_v take_v up_o into_o heaven_n by_o his_o father_n jupiter_n and_o place_v there_o with_o medusa_n head_n in_o the_o one_o hand_n and_o the_o sword_n in_o the_o other_o wednesday_n february_n 2_o the_o comet_n be_v scarce_o discernible_a yet_o further_o up_o in_o the_o heaven_n and_o more_o towards_o the_o east_n than_o before_o tuesday_n night_n february_n 8._o being_n the_o last_o time_n it_o be_v see_v nothing_o appear_v distinct_o save_o a_o small_a short_a ray._n this_o night_n it_o have_v 20._o degree_n of_o north_n latitude_n from_o the_o ecliptic_a it_o have_v 46._o degree_n of_o longitude_n from_o the_o first_o point_n of_o aries_n it_o be_v distant_a from_o medusa_n head_n 5._o 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thin_a piece_n may_v line_v the_o mouth_n of_o the_o ark_n without_o between_z p_o q_n and_o l_o m_o according_a to_o the_o figure_n 25_o or_o may_v be_v put_v to_o or_o take_v away_o at_o pleasure_n the_o bell_n may_v have_v likewise_o in_o stead_n of_o this_o troublesome_a foot-board_n a_o weighty_a ring_n of_o lead_n or_o two_o to_o go_v round_o about_o the_o orifice_n without_o in_o form_n of_o a_o girth_n or_o belt_n which_o may_v slip_v off_o and_o on_o at_o pleasure_n and_o will_v as_o convenient_o sink_v it_o as_o if_o it_o have_v a_o weight_n append_v the_o foot-board_n than_o may_v be_v of_o any_o form_n quantity_n or_o weight_n you_o please_v there_o be_v three_o some_o miscellany_n observation_n the_o design_n of_o which_o be_v only_o philosophical_a some_o of_o they_o be_v experiment_n make_v with_o the_o air-pump_n which_o i_o have_v adventure_v to_o insert_v here_o even_o though_o the_o noble_a mr._n boyl_n have_v give_v a_o account_n of_o many_o but_o because_o the_o 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up_o in_o it_o four_o and_o thirty_o foot_n which_o phoenomenon_n can_v never_o happen_v unless_o the_o surface_n of_o the_o stagnant_a water_n among_o which_o the_o end_n of_o the_o pump_n be_v drown_v be_v as_o much_o press_v with_o the_o air_n as_o if_o it_o have_v a_o burden_n of_o water_n upon_o it_o thirty_o four_o foot_n high_a the_o second_o part_n be_v also_o evident_a because_o if_o a_o man_n drown_v the_o end_n of_o a_o long_a pipe_n in_o a_o vessel_n with_o stagnant_a quicksilver_n and_o remove_v the_o air_n that_o be_v within_o the_o pipe_n by_o a_o sucker_n or_o more_o easy_o by_o the_o help_n of_o the_o air-pump_n he_o will_v find_v the_o liquor_n to_o rise_v twenty_o nine_o inch_n above_o the_o surface_n below_o which_o thing_n can_v never_o come_v to_o pass_v unless_o the_o pressure_n of_o the_o air_n upon_o the_o surface_v of_o all_o body_n be_v equivalent_a to_o the_o pressure_n and_o weight_n of_o twenty_o nine_o inch_n of_o quicksilver_n theorem_fw-la xxvi_o all_o 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efcd_v then_o do_v the_o say_a mercury_n ascend_v high_a than_o it_o be_v own_o surface_n namely_o from_o e_z to_z o_o which_o point_n be_v the_o high_a to_o which_o the_o thirty_o four_o foot_n of_o water_n abef_n can_v raise_v the_o mercury_n which_o altitude_n be_v twenty_o nine_o inch_n above_o the_o surface_n eif_fw-mi but_o if_o a_o second_o fluid_fw-la be_v superadd_v as_o the_o whole_a air_n ghab_n then_o must_v the_o mercury_n according_a to_o that_o new_a pressure_n rise_v by_o proportion_n so_o rise_v the_o mercury_n from_o o_o to_o p_o other_o twenty_o nine_o inch_n by_o this_o same_o additional_a weight_n of_o air_n the_o water_n rise_v thirty_o four_o foot_n in_o the_o pipe_n il_fw-fr namely_o from_o n_o to_o r._n now_o i_o say_v the_o outmost_a and_o high_a point_n to_o which_o the_o element_n of_o air_n ghab_n can_v raise_v the_o mercury_n be_v from_o o_o to_o p_o for_o by_o the_o pressure_n of_o the_o water_n abef_n it_o rise_v from_o e_z to_z o._n and_o the_o high_a point_n to_o which_o the_o say_a air_n can_v raise_v the_o water_n be_v from_o n_o to_o r._n the_o reason_n of_o these_o determinate_a altitude_n must_v be_v seek_v for_o from_o the_o altitude_n of_o the_o incumb_a and_o press_v fluid_n for_o as_o these_o be_v less_o or_o more_o so_o be_v the_o altitude_n of_o the_o mercury_n and_o of_o the_o water_n within_o the_o pipe_n more_o or_o less_o the_o hight_v therefore_o of_o the_o mercury_n eo_fw-la be_v twenty_o nine_o inch_n because_o the_o deepness_n of_o the_o press_a water_n abef_n be_v thirty_o four_o foot_n and_o the_o height_n of_o the_o water_n nr_n be_v thirty_o four_o foot_n because_o the_o height_n of_o the_o air_n gh_o above_o ab_fw-la be_v six_o thousand_o fathom_n or_o thereabouts_o and_o for_o the_o same_o reason_n be_v the_o mercury_n open_v twenty_o nine_o inch_n theorem_fw-la xxvii_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 ghab_n twenty_o nine_o inch_n of_o mercury_n open_v be_v support_v as_o well_o as_o the_o twenty_o nine_o inch_n eo_fw-la by_o the_o pressure_n of_o the_o water_n abef_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 nr_n which_o be_v real_o as_o heavy_a as_o the_o twenty_o nine_o inch_n of_o mercury_n open_v 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 water_n or_o of_o twenty_o nine_o inch_n of_o mercury_n it_o be_v no_o wonder_n to_o see_v water_n press_v with_o as_o great_a weight_n as_o mercury_n which_o be_v likewise_o clear_a from_o this_o same_o figure_n where_o by_o the_o pressure_n of_o the_o water_n abef_n twenty_o nine_o inch_n of_o mercury_n eo_fw-la be_v suspend_v as_o true_o as_o the_o mercury_n ce_fw-fr within_o the_o low_a end_n of_o the_o pipe_n be_v support_v by_o the_o outward_a environ_v mercury_n the_o reason_n of_o these_o phenomena_n be_v take_v from_o the_o altitude_n of_o the_o press_a fluid_n for_o though_o a_o body_n be_v never_o so_o light_a yet_o multiplication_n of_o part_n make_v multiplication_n of_o weight_n which_o multiplication_n of_o part_n in_o fluids_n must_v be_v according_a to_o altitude_n for_o multiplication_n of_o part_n according_a to_o thickness_n and_o breadth_n will_v not_o do_v it_o observe_v here_o that_o if_o as_o much_o air_n as_o fill_v the_o tub_n between_o n_o and_o 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 nr_n 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 eo_fw-la 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 open_v 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 efgh_o 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
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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 ab_fw-la 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 abcd_v to_o be_v a_o large_a vessel_n full_a of_o water_n as_o high_a as_o anb_n 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 eo_fw-la and_o fp_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 degree_n of_o pressure_n with_o the_o water_n e_o or_o l_o without_o or_o with_o the_o water_n k_o or_o f._n and_o which_o be_v strange_a let_v we_o suppose_v both_o the_o entry_n e_o and_o f_o stop_v and_o nothing_o remain_v open_a but_o the_o hole_n g_o which_o i_o judge_v no_o wide_o then_o may_v admit_v the_o hair_n of_o one_o head_n yet_o through_o that_o small_a hole_n shall_v the_o pressure_n be_v communicate_v to_o the_o part_n of_o the_o water_n within_o in_o as_o high_a a_o degree_n as_o if_o the_o upper_a part_n of_o the_o vessel_n eml_n be_v cut_v off_o to_o let_v the_o pressure_n come_v down_o direct_o what_o be_v true_a fig._n 1._o pag._n â—_o fig._n 2._o pag._n 25_o fig._n 3_o pag._n 29_o fig._n 4_o pag._n 3â—_n in_o order_n to_o water_n the_o same_o be_v true_a in_o order_n to_o air_n or_o mercury_n or_o any_o other_o fluid_a for_o though_o a_o house_n be_v build_v never_o so_o close_o without_o door_n or_o window_n yet_o if_o there_o remain_v but_o one_o small_a hole_n in_o it_o the_o pressure_n of_o the_o whole_a atmosphere_n shall_v be_v transmit_v through_o that_o entry_n and_o shall_v reduce_v the_o air_n within_o the_o house_n to_o as_o high_a a_o degree_n of_o bensil_n as_o the_o air_n without_o theorem_fw-la xxxi_o the_o pressure_n and_o bensil_n of_o a_o fluid_a that_o be_v in_o the_o low_a foot_n be_v equivalent_a to_o the_o weight_n of_o the_o whole_a 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so_o be_v the_o weight_n of_o the_o pillar_n cd_o to_o the_o weight_n of_o the_o pillar_n ab_fw-la but_o so_o it_o be_v that_o the_o bensil_n of_o the_o air_n gh_o be_v equal_a in_o degree_n to_o the_o bensil_n of_o the_o air_n of_o according_a to_o the_o theorem_fw-la 21._o where_o it_o be_v say_v that_o the_o pressure_n of_o fluids_n may_v be_v as_o much_o in_o the_o least_o part_n as_o in_o the_o whole_a therefore_o the_o pillar_n cd_o and_o the_o pillar_n ab_fw-la must_v be_v of_o equal_a weight_n when_o both_o be_v weigh_v together_o in_o the_o opposite_a scale_n of_o a_o balance_n which_o be_v false_a see_v the_o
one_o be_v far_o thick_a and_o so_o heavy_a than_o the_o other_o there_o be_v no_o way_n to_o answer_v this_o objection_n but_o by_o grant_v the_o air_n gh_o and_o of_o to_o be_v equal_a in_o bensil_n and_o yet_o the_o two_o pillar_n unequal_a in_o weight_n because_o according_a to_o the_o 22_o theorem_fw-la the_o bensil_n of_o a_o fluid_a be_v one_o thing_n and_o the_o natural_a weight_n be_v another_o theorem_fw-la xxxii_o in_o all_o fluid_n there_o be_v a_o pondus_fw-la and_o a_o potentia_n a_o weight_n and_o a_o power_n counterpoise_v one_o another_o as_o in_o the_o staticks_n that_o part_n of_o the_o mathematics_n which_o be_v call_v staticks_n be_v nothing_o else_o but_o the_o art_n of_o weigh_v heavy_a body_n in_o which_o two_o thing_n be_v common_o distinguish_v viz._n the_o pondus_fw-la and_o the_o potentia_fw-la the_o weight_n and_o the_o power_n it_o be_v evident_a while_o two_o thing_n be_v counterpoise_v one_o another_o in_o the_o opposite_a scale_n of_o a_o balance_n as_o 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surface_n of_o the_o stagnant_a mercury_n below_o the_o reason_n whereof_o be_v true_o this_o so_o long_o as_o the_o mercury_n be_v high_a than_o the_o say_a point_n as_o long_o do_v the_o pondus_fw-la of_o it_o exceed_v the_o potentia_fw-la of_o the_o air_n therefore_o the_o motion_n of_o it_o downward_o can_v never_o cease_v till_o at_o last_o by_o fall_v down_o and_o become_v short_a it_o become_v light_a in_o which_o instant_a of_o time_n the_o motion_n end_v both_o of_o they_o be_v now_o in_o equipondio_fw-la or_o in_o evenness_n of_o weight_n theorem_fw-la xxxiv_o when_o two_o fluid_n of_o different_a kind_n be_v in_o aequilibrio_fw-la together_o the_o height_n of_o the_o one_o cylinder_n be_v in_o proportion_n to_o the_o height_n of_o the_o other_o as_o the_o natural_a weight_n of_o the_o one_o be_v to_o the_o natural_a weight_n of_o the_o other_o for_o understand_v this_o theorem_fw-la we_o must_v consider_v that_o when_o two_o cylinder_n of_o the_o same_o kind_n as_o one_o 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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 ten_o inch_n the_o water_n will_v be_v exact_o 140._o if_o it_o be_v 29_o inch_n the_o water_n will_v be_v thirty_o four_o foot_n the_o reason_n be_v evident_a because_o if_o one_o inch_n of_o mercury_n be_v as_o heavy_a natural_o as_o 14_o inch_n of_o water_n it_o 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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 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atmosphere_n rest_v upon_o the_o surface_n of_o water_n ab_fw-la we_o see_v second_o that_o when_o the_o pondus_fw-la and_o the_o potentia_fw-la of_o two_o fluid_n be_v in_o equilibrio_n or_o of_o equal_a strength_n a_o very_a small_a addition_n to_o either_o of_o they_o will_v cast_v the_o balance_n for_o if_o a_o man_n shall_v but_o breathe_v soft_o upon_o the_o side_n of_o the_o glass_n between_o g_z and_o f_o or_o lay_v his_o warm_a hand_n to_o it_o the_o say_a air_n will_v present_o dilate_v itself_o and_o by_o become_v thus_o strong_a thrust_v down_o the_o water_n and_o so_o overcome_v the_o potentia_fw-la of_o the_o surface_n we_o see_v three_o a_o confirmation_n of_o the_o six_o theorem_n namely_o that_o the_o pressure_n of_o fluids_n be_v on_o every_o side_n as_o be_v clear_a from_o the_o enclose_a air_n gf_n that_o not_o only_o press_v down_o the_o water_n fd_n but_o with_o as_o great_a force_n press_v up_o the_o top_n of_o the_o glass_n within_o and_o press_v upon_o all_o 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ascend_v and_o whether_o it_o be_v the_o heat_n of_o the_o air_n or_o the_o lightness_n of_o the_o air_n that_o cause_v the_o water_n to_o descend_v i_o have_v propose_v this_o question_n of_o purpose_n to_o let_v you_o see_v a_o mistake_n many_o believe_v that_o the_o ascent_n and_o descent_n of_o water_n in_o common_a weather-glass_n be_v allanerly_a from_o the_o heat_n and_o coldness_n of_o the_o air_n and_o therefore_o they_o conclude_v a_o cold_a day_n to_o be_v because_o the_o water_n be_v far_o up_o whereas_o the_o water_n have_v ascend_v since_o the_o last_o night_n by_o reason_n of_o a_o great_a weight_n in_o the_o air_n which_o always_o be_v when_o the_o weather_n be_v dry_a and_o calm_a though_o there_o have_v be_v no_o alteration_n of_o heat_n to_o cold_a if_o it_o be_v ask_v how_o come_v we_o to_o the_o knowledge_n of_o this_o that_o the_o pressure_n and_o weight_n of_o the_o element_n of_o air_n be_v sometime_o less_o and_o sometime_o more_o i_o answer_v this_o secret_a o_o nature_n be_v never_o discover_v till_o the_o invention_n of_o the_o torricellian_a experiment_n otherwise_o call_v the_o baroscope_n for_o after_o the_o fall_v down_o of_o the_o quicksilver_n to_o 29_o inch_n if_o you_o suffer_v it_o to_o stand_v thus_o in_o your_o parlour_n or_o chamber_n according_a as_o the_o pressure_n and_o weight_n of_o the_o element_n of_o air_n become_v more_o or_o less_o so_o will_v the_o altitude_n of_o the_o mercury_n become_v less_o or_o more_o and_o vary_v sometime_o above_o 29_o inch_n and_o sometime_o below_o this_o alteration_n be_v very_o sensible_a which_o be_v sometime_o the_o ten_o part_n of_o a_o inch_n sometime_o the_o six_o and_o sometime_o the_o three_o according_a as_o the_o weight_n of_o the_o air_n be_v less_o or_o more_o from_o december_n to_o february_n i_o find_v the_o alteration_n become_v less_o and_o more_o from_o 30_o inch_n to_o 28_o which_o will_v be_v three_o finger_n breadth_n the_o common_a weather-glass_n than_o be_v fallacious_a and_o deceitful_a unless_o they_o be_v so_o contrive_v that_o the_o pressure_n of_o the_o air_n can_v affect_v they_o which_o be_v easy_o do_v by_o seal_v they_o hermetical_o and_o in_o stead_n of_o common_a water_n to_o put_v in_o spiritus_fw-la vini_n rectificatissimus_fw-la or_o the_o most_o excellent_a spirit_n of_o wine_n and_o strong_a that_o can_v be_v make_v it_o may_v be_v here_o inquire_v whether_o or_o not_o mercury_n will_v ascend_v in_o this_o glass_n as_o the_o water_n do_v i_o answer_v it_o will_v because_o the_o ascent_n depend_v only_o upon_o the_o pressure_n of_o the_o air_n incumb_a upon_o the_o stagnant_a liquor_n in_o the_o vessel_n that_o be_v able_a to_o drive_v up_o mercury_n as_o well_o as_o water_n it_o may_v be_v inquire_v second_o how_o far_o mercury_n will_v ascend_v and_o how_o far_o water_n will_v creep_v up_o i_o answer_v mercury_n can_v ascend_v no_o high_o in_o a_o tub_n than_o 29_o inch_n and_o water_n no_o high_o than_o 34_o foot_n and_o this_o only_o happen_v when_o there_o be_v no_o air_n above_o the_o top_n of_o the_o cylinder_n to_o hinder_v their_o ascent_n but_o when_o there_o be_v air_n as_o gf_n above_o the_o liquor_n it_o can_v go_v no_o high_o than_o the_o point_n to_o which_o the_o cold_a be_v able_a to_o contract_v the_o enclose_a air_n which_o be_v in_o this_o glass_n the_o point_n f._n it_o may_v be_v inquire_v three_o which_o be_v the_o great_a difficulty_n whether_o or_o not_o mercury_n will_v rise_v as_o easy_o in_o a_o tub_n as_o water_n for_o see_v it_o be_v 14_o time_n heavy_a it_o seem_v the_o air_n shall_v have_v great_a difficulty_n to_o press_v it_o up_o than_o to_o press_v up_o water_n i_o answer_v it_o be_v great_a difficulty_n for_o the_o air_n to_o press_v up_o 20_o inch_n of_o mercury_n than_o to_o press_v up_o 20_o inch_n of_o water_n yet_o it_o be_v no_o great_a difficulty_n for_o the_o air_n to_o press_v up_o 20_o inch_n of_o mercury_n than_o to_o press_v up_o 23_o foot_n of_o water_n because_o the_o burden_n and_o weight_n be_v the_o same_o it_o may_v be_v inquire_v four_a whether_o or_o not_o it_o be_v as_o easy_a for_o the_o air_n to_o press_v up_o a_o thick_a and_o gross_a cylinder_n of_o water_n as_o to_o press_v up_o a_o thin_a and_o slender_a one_o for_o example_n whether_o be_v it_o as_o easy_a for_o the_o air_n to_o press_v up_o a_o cylinder_n of_o water_n 10_o inch_n in_o diameter_n and_o 10_o foot_n high_a as_o it_o be_v to_o press_v up_o one_o two_o inch_n in_o diameter_n and_o 10_o foot_n high_a i_o answer_v there_o be_v no_o more_o difficulty_n in_o the_o one_o than_o in_o the_o other_o and_o the_o reason_n be_v because_o fluid_a body_n do_v not_o counterpoise_v one_o another_o according_a to_o their_o thickness_n but_o only_o according_a to_o their_o altitude_n according_a to_o the_o four_o theorem_fw-la therefore_o see_v the_o slender_a cylinder_n be_v as_o high_a as_o the_o grosser_n it_o must_v be_v no_o more_o difficult_a to_o the_o air_n to_o press_v up_o the_o one_o than_o the_o other_o there_o be_v one_o difficulty_n yet_o remain_v which_o be_v true_o the_o great_a of_o all_o namely_o what_o be_v the_o reason_n why_o its_o more_o difficult_a to_o the_o air_n to_o press_v up_o 20_o inch_n of_o mercury_n than_o to_o press_v up_o 20_o inch_n of_o water_n or_o more_o difficult_a to_o the_o air_n to_o press_v up_o 20_o inch_n of_o mercury_n than_o to_o press_v up_o 10_o i_o answer_v this_o come_v to_o pass_v because_o the_o air_n be_v more_o burden_a with_o 20_o inch_n of_o mercury_n than_o with_o 10._o now_o if_o this_o be_v then_o sure_o it_o must_v be_v more_o hard_a to_o the_o air_n to_o do_v the_o one_o than_o to_o do_v the_o other_o even_o as_o it_o be_v more_o hard_a for_o a_o man_n to_o lift_v up_o from_o the_o ground_n 20_o pound_n of_o iron_n than_o to_o lift_v up_o 10_o or_o 15._o the_o case_n may_v be_v better_o illustrate_v after_o this_o manner_n suppose_v a_o man_n stand_v on_o the_o ground_n with_o a_o rope_n in_o his_o hand_n come_v down_o from_o a_o pulley_n above_o draw_v up_o a_o weight_n to_o the_o top_n of_o the_o house_n put_v the_o case_n likewise_o the_o weight_n be_v a_o stone_n of_o 20_o pound_n and_o the_o weight_n of_o it_o to_o increase_v successive_o as_o it_o be_v pull_v up_o now_o its_o easy_a for_o the_o man_n to_o pull_v up_o the_o stone_n the_o first_o fathom_n because_o it_o be_v but_o 20_o pound_n weight_n but_o the_o stone_n become_v 40_o pound_n in_o the_o second_o fathom_n and_o 60_o in_o the_o three_o and_o 80_o in_o the_o four_o and_o so_o forth_o until_o it_o become_v 1000_o he_o will_v find_v the_o great_a difficulty_n the_o long_o he_o pull_v it_o be_v
just_a so_o with_o air_n or_o water_n raise_v mercury_n in_o a_o tub_n for_o as_o the_o cylinder_n of_o the_o mercury_n grow_v high_a by_o rise_v so_o it_o become_v heavy_a and_o consequent_o the_o imaginary_a surface_n upon_o which_o the_o base_a of_o the_o pillar_n rest_v be_v more_o and_o more_o burden_a and_o so_o become_v less_o and_o less_o able_a to_o press_v it_o up_o this_o lead_v we_o to_o a_o clear_a discovery_n of_o the_o reason_n why_o it_o be_v more_o difficult_a by_o suction_n to_o pull_v up_o mercury_n in_o a_o pipe_n than_o to_o pull_v up_o water_n and_o more_o hard_a to_o suck_v up_o ten_o foot_n of_o water_n then_o to_o suck_v up_o five_o for_o trial_n of_o this_o which_o be_v soon_o do_v take_v a_o slender_a glass-pipe_n 30_o or_o 40_o inch_n long_o open_a at_o both_o end_n and_o drown_v the_o one_o end_n among_o quicksilver_n and_o put_v your_o mouth_n to_o the_o other_o and_o have_v suck_v you_o will_v find_v great_a difficulty_n to_o pull_v up_o through_o the_o pipe_n 15_o inch_n of_o mercury_n than_o to_o pull_v up_o 10_o or_o 8_o and_o far_o great_a difficulty_n to_o suck_v up_o 20_o than_o to_o pull_v up_o 15._o it_o may_v be_v object_v that_o if_o a_o man_n have_v strength_n sufficient_a in_o his_o lung_n to_o suck_v out_o the_o whole_a air_n of_o the_o pipe_n thirty_o inch_n of_o mercury_n will_v come_v as_o easy_o up_o as_o three_z which_o seem_v to_o prove_v that_o the_o difficulty_n of_o the_o mercurie_n up-coming_a depend_v not_o upon_o the_o weakness_n of_o the_o air_n but_o upon_o the_o weakness_n of_o the_o lung_n and_o want_v of_o strength_n to_o suck_v i_o answer_v though_o a_o man_n be_v able_a to_o suck_v out_o the_o whole_a air_n of_o the_o pipe_n yet_o 30_o inch_n will_v never_o ascend_v so_o easy_o as_o ten_o nor_o ten_o so_o easy_o as_o three_o and_o that_o for_o the_o reason_n already_o give_v but_o why_o be_v it_o then_o say_v you_o that_o the_o strong_a the_o suction_n be_v the_o high_a the_o mercury_n ascend_v in_o the_o pipe_n i_o answer_v the_o suction_n serve_v for_o no_o use_n but_o to_o remove_v the_o impediment_n that_o hinder_v the_o mercury_n from_o come_v up_o which_o be_v nothing_o else_o but_o the_o air_n within_o the_o pipe_n now_o the_o more_o of_o this_o air_n that_o be_v take_v away_o by_o suction_n the_o strong_a the_o suction_n be_v the_o more_o air_n be_v take_v away_o the_o far_a up_z come_v the_o mercury_n but_o why_o ought_v there_o to_o be_v difficulty_n in_o the_o suction_n of_o mercury_n to_o the_o altitude_n of_o 15_o or_o 20_o inch_n more_o than_o in_o the_o suction_n of_o water_n to_o that_o altitude_n i_o answer_v when_o i_o suck_v water_n up_o through_o a_o pipe_n the_o suction_n of_o the_o air_n above_o it_o be_v easy_a because_o the_o ascend_a water_n help_v much_o to_o drive_v it_o up_o to_o the_o mouth_n the_o outward_a air_n drive_v up_o both_o but_o the_o suction_n be_v difficult_a in_o mercury_n because_o the_o ascend_a liquor_n do_v not_o help_v so_o much_o to_o drive_v up_o the_o air_n to_o the_o mouth_n as_o the_o water_n do_v and_o the_o reason_n be_v because_o the_o air_n be_v more_o burden_v with_o 15_o inch_n of_o mercury_n than_o with_o 15_o inch_n of_o water_n can_v so_o easy_o drive_v up_o the_o one_o as_o the_o other_o and_o so_o mercury_n can_v so_o easy_o drive_v up_o the_o air_n of_o the_o pipe_n to_o the_o mouth_n as_o water_n do_v in_o a_o word_n according_a to_o the_o difference_n of_o specific_a weight_n between_o water_n and_o mercury_n so_o be_v the_o difficulty_n of_o suction_n therefore_o because_o mercury_n be_v 14_o time_n heavy_a than_o water_n there_o be_v 14_o time_n more_o difficulty_n to_o pull_v up_o the_o one_o than_o the_o other_o note_v that_o suction_n be_v not_o take_v here_o strict_o as_o contradistinguish_v from_o pulsion_n but_o in_o a_o large_a sense_n as_o it_o may_v comprehend_v it_o to_o proceed_v a_o little_a further_o let_v we_o suppose_v the_o pillar_n of_o mercury_n see_v the_o 11._o figure_n gh_a that_o be_v raise_v by_o the_o surface_n of_o air_n fg_v to_o be_v 29_o inch_n and_o every_o inch_n to_o weigh_v one_o ounce_n second_o that_o the_o say_a surface_n have_v 29_o degree_n of_o power_n or_o force_v in_o it_o for_o in_o all_o counterpoise_n the_o pondus_fw-la and_o the_o potentia_n be_v equal_a therefore_o if_o the_o mercury_n be_v 29_o inch_n the_o potentia_fw-la of_o the_o surface_n must_v have_v 29_o degree_n of_o strength_n or_o force_n in_o it_o to_o counterbalance_v the_o pondus_fw-la these_o thing_n be_v suppose_v which_o be_v evident_a let_v we_o imagine_v the_o surface_n of_o air_n to_o raise_v the_o mercury_n one_o inch_n above_o fg._n in_o this_o case_n the_o surface_n be_v weak_a than_o it_o be_v which_o i_o prove_v evident_o because_o it_o be_v now_o but_o able_a to_o raise_v 28_o of_o mercury_n imagine_v next_o the_o say_a surface_n to_o have_v raise_v the_o mercury_n two_o inch_n above_o fg_n than_o it_o follow_v that_o it_o must_v be_v yet_o weak_a because_o it_o be_v now_o but_o able_a to_o raise_v 27_o inch_n for_o by_o support_v two_o ounce_n of_o the_o pondus_fw-la it_o lose_v two_o degree_n of_o its_o own_o potentia_fw-la in_o raise_v three_o inch_n of_o mercury_n it_o be_v three_o degree_n weak_a and_o in_o raise_v four_o it_o be_v four_o degree_n weak_a and_o so_o forth_o therefore_o have_v raise_v 28_o inch_n there_o be_v but_o one_o degree_n of_o force_n remain_v in_o the_o surface_n and_o when_o it_o have_v raise_v the_o whole_a namely_o 29_o it_o be_v no_o more_o able_a and_o can_v no_o more_o press_v for_o confirmation_n put_v the_o case_n that_o the_o surface_n of_o air_n fg_v be_v as_o able_a and_o have_v as_o much_o pressure_n in_o it_o after_o it_o have_v raise_v 29_o inch_n of_o mercury_n as_o it_o be_v after_o the_o raise_n of_o 10_o then_o it_o follow_v of_o necessity_n that_o after_o the_o raise_n of_o 20_o it_o shall_v raise_v 19_o more_o which_o be_v impossible_a see_v the_o great_a altitude_n be_v 29._o it_o follow_v of_o necessity_n i_o say_v because_o after_o the_o raise_n of_o 10_o it_o be_v able_a to_o raise_v 19_o more_o therefore_o if_o it_o be_v as_o able_a after_o 20_o as_o after_o 10_o it_o must_v raise_v 19_o after_o 20._o yea_o if_o it_o be_v as_o able_a after_o 20_o as_o 10_o it_o must_v be_v as_o able_a after_o 29_o as_o 10._o if_o this_o be_v than_o it_o may_v raise_v other_o 29_o and_o a_o three_o 29_o and_o so_o in_o infinitum_fw-la therefore_o i_o conclude_v that_o when_o two_o fluid_a body_n be_v in_o equilibrio_n one_o with_o another_o or_o when_o the_o pondus_fw-la be_v equal_a to_o the_o potentia_fw-la none_o of_o they_o do_v actual_o press_v upon_o another_o at_o least_o the_o surface_n have_v lose_v all_o its_o power_n and_o pressure_n which_o be_v also_o evident_a in_o the_o pillar_n for_o understand_v this_o let_v we_o suppose_v acb_n figure_n 11._o to_o be_v a_o pipe_n 58_o inch_n long_o and_o full_a of_o mercury_n and_o every_o inch_n of_o it_o to_o weigh_v one_o ounce_n now_o when_o the_o orifice_n d_o be_v open_v there_o be_v here_o as_o great_a a_o inequality_n between_o the_o pondus_fw-la and_o the_o potentia_fw-la of_o the_o surface_n of_o air_n ebb_n on_o which_o it_o rest_v as_o be_v between_o the_o surface_n fg_v and_o the_o pondus_fw-la of_o mercury_n hg_v for_o as_o fg_n have_v 29_o degree_n of_o power_n to_o raise_v gh_a so_o the_o pillar_n ab_fw-la have_v 29_o ounce_n of_o weight_n to_o overcome_v the_o surface_n ebb_n and_o as_o the_o surface_n fg_v become_v one_o degree_n weak_a by_o raise_v one_o inch_n of_o the_o mercury_n hg_v and_o two_o degree_n weak_a by_o raise_v two_o inch_n and_o so_o forward_o till_o it_o lose_v all_o its_o pressure_n so_o the_o pillar_n by_o fall_v down_o one_o inch_n lose_v one_o ounce_n of_o the_o weight_n by_o fall_v down_o two_o it_o lose_v two_o ounce_n and_o so_o forward_o till_o by_o fall_v down_o from_o a_o to_o c_o it_o lose_v all_o its_o weight_n and_o pressure_n but_o here_o occur_v a_o difficulty_n for_o if_o the_o surface_n fg_v have_v lose_v all_o its_o pressure_n by_o raise_v the_o mercury_n from_o g_o to_o h_n and_o if_o the_o pillar_n cb_n have_v lose_v all_o its_o pressure_n by_o fall_v down_o from_o a_o to_o c_o it_o follow_v that_o when_o a_o pillar_n of_o a_o fluid_a and_o a_o surface_n of_o a_o fluid_a be_v in_o equal_a term_n or_o bâ—ought_v to_o 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 aâ—e_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
edge_n b_o be_v only_o burden_v with_o 50_o therefore_o 50_o oughts_z to_o yield_v to_o 400._o i_o answer_v according_a to_o the_o 29_o theorem_fw-la namely_o that_o a_o thick_a pillar_n of_o a_o fluid_a be_v not_o able_a to_o press_v or_o move_v a_o slenderer_n unless_o there_o be_v a_o unequal_a pressure_n therefore_o the_o thick_a pillar_n that_o press_v the_o face_n can_v move_v the_o slender_a pillar_n that_o press_v the_o edge_n but_o there_o be_v here_o no_o unequal_a pressure_n see_v the_o water_n xyzv_n be_v of_o the_o same_o height_n with_o the_o four_o pillar_n that_o rest_v upon_o the_o face_n of_o the_o butter_n i_o grant_v if_o the_o say_a water_n be_v not_o so_o high_a as_o the_o other_o be_v by_o the_o one_o half_a then_o sure_o the_o butter_n will_v be_v squeeze_v out_o at_o b_o because_o the_o short_a a_o pillar_n be_v the_o less_o pressure_n be_v in_o the_o surface_n under_o it_o therefore_o there_o must_v be_v less_o pressure_n according_a to_o that_o supposition_n in_o the_o water_n bc_n than_o now_o be_v or_o put_v the_o case_n the_o pillar_n ik_fw-mi be_v short_a than_o gh_o or_o lm_o the_o same_o effect_n will_v follow_v namely_o a_o squeeze_v out_o of_o the_o butter_n from_o k._n or_o let_v we_o suppose_v the_o pillar_n ik_fw-mi to_o be_v high_a than_o gh_a or_o lm_o in_o such_o a_o case_n the_o weight_n of_o the_o say_a pillar_n will_v press_v through_o the_o butter_n from_o what_o be_v say_v we_o shall_v only_o infer_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 fig._n 12_o pag._n 81_o fig._n 15_o pag._n 100_o fig._n 16_o pag._n 109_o fig._n 17_o pag._n 119_o 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 of_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 abcd_a 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 bhi_fw-mi 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 abcd_v 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 abh_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 cd_o 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 mn_a to_o kl_n 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 ab_fw-la to_o 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 ki_v 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 hba_n and_o this_o press_v the_o surface_n of_o the_o stagnant_a mercury_n ab_fw-la cause_v the_o liquor_n run_v up_o the_o pipe_n from_o ab_fw-la to_o 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 ab_fw-la and_o the_o top_n of_o the_o water_n lok_n 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 bg_n sink_v 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 ab_fw-la 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 ki_v 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 hp_n extend_v itself_o to_o i_o liberat_o the_o water_n abh_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 ki_n 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 ki_v 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 bg_n 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 ph_n under_o the_o same_o degree_n of_o pressure_n it_o obtain_v from_o the_o water_n ki_v 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 hp_n 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 bh_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 ki_v 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 ab_fw-la to_o 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 sk_n that_o rest_v upon_o the_o top_n of_o the_o pillar_n of_o water_n ki_v 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 sk_n therefore_o it_o find_v its_o counterpoise_n remove_v present_o cause_v the_o water_n ki_v 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 bg_n 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 ab_fw-la and_o o_fw-la 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 kh_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 bg_n 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
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 cdab_n together_o with_o a_o crooked_a pipe_n of_o glass_n inh_v the_o one_o half_n whereof_o be_v ip_n 56_o inch_n high_a and_o one_o inch_n wide_a the_o other_o half_o be_v pnrh_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 ml_o for_o let_v down_o this_o engine_n to_o the_o bottom_n of_o the_o water_n ab_fw-la 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 cd_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 hrn_n 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 npk_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 ik_fw-mi 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 ehrn_n 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 fe_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 npk_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 ehrn_n 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 pk_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 ehrn_n 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 ki_v to_o â—5_n si_fw-it 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_o ehr_n and_o rnpk_v the_o second_o be_v at_o r_o between_o nrhe_n and_o npk_v 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 be_v as_o one_o antagonist_n and_o the_o four_o inch_n of_o water_n sk_n with_o the_o 29_o inch_n of_o mercury_n kp_n and_o the_o water_n pnrhe_n 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 cd_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 nrhe_n 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 be_v 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 be_v 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 kpn_n make_v a_o just_a equipondium_fw-la with_o the_o water_n ehrn_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 kpn_n be_v far_o thick_a than_o the_o water_n eh_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 fluids_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 mercury_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 fe_o counterpoise_v the_o air_n ik_fw-mi or_o be_v 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 be_v 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 of_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 be_v the_o water_n sk_n and_o mercury_n kp_n 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 be_v be_v above_o the_o water_n sk_n and_o the_o water_n sk_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 kp_n be_v no_o thick_a than_o the_o water_n pnrh_fw-mi 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 ks_z as_o well_o as_o it_o thrust_v down_o the_o water_n pnrh_fw-mi 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 ik_fw-mi 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 pnrh_n thrust_v out_o and_o not_o only_o this_o but_o the_o whole_a mercury_n pk_v 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 kp_n 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 ln_o the_o first_o surface_n to_o mr_n 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 xyo_n 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 aec_fw-la be_v a_o pillar_n of_o mercury_n six_o inch_n in_o height_n and_o so_o be_v gd_v 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 xyo_n the_o pillar_n eca_n be_v support_v by_o and_o rest_v upon_o the_o imaginary_a pillar_n ap._n and_o so_o be_v the_o pillar_n gdb_n support_v by_o the_o pillar_n bq_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 tub_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 xyo_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 mâ—st_o equal_a and_o uniform_a pressure_n upon_o the_o surface_n xyo_n 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 aec_fw-la and_o gd_a to_o 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 aec_fw-la must_v be_v six_o inch_n see_v xyo_n 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 zf_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 xo_o and_o zf_a for_o understand_v the_o three_o remember_v as_o be_v note_v
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 fiâ—st_a 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 lih_n 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 ih_v fall_v down_o 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 il_fw-fr 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 gk_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 kg_v 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 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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
little_a seat_n in_o it_o he_o may_v have_v window_n to_o look_v out_o at_o his_o body_n may_v be_v so_o fix_v that_o there_o needs_o be_v no_o fear_n of_o fall_v out_o if_o a_o man_n be_v desirous_a to_o make_v hydrostatical_a conclusion_n by_o dive_v under_o the_o water_n the_o dimension_n of_o the_o ark_n may_v be_v enlarge_v so_o that_o it_o may_v convenient_o cover_v a_o man_n whole_a body_n by_o which_o mean_n have_v much_o air_n in_o it_o a_o diver_n may_v continue_v under_o water_n half_o a_o day_n if_o need_n be_v let_v we_o suppose_v then_o the_o height_n of_o it_o to_o be_v 8_o foot_n and_o the_o breadth_n 3_o foot_n or_o more_o in_o such_o a_o case_n a_o man_n may_v continue_v under_o the_o water_n many_o hour_n and_o yet_o not_o one_o part_n of_o his_o body_n wet_a for_o if_o the_o ark_n be_v 8_o foot_n high_a and_o the_o man_n 5_o foot_n in_o stature_n at_o the_o deepness_n of_o 10_o fathom_n the_o water_n can_v scarce_o rise_v 3_o foot_n in_o it_o but_o why_o may_v not_o a_o man_n come_v up_o every_o half_a hour_n when_o he_o find_v difficulty_n to_o tarry_v down_o in_o a_o little_a ark_n i_o answer_v he_o may_v but_o it_o be_v trouble_n and_o pain_n to_o pull_v he_o up_o and_o let_v he_o down_o so_o frequent_o and_o it_o may_v so_o happen_v that_o through_o want_n of_o air_n in_o a_o small_a ark_n he_o be_v necessitate_v to_o come_v up_o before_o he_o end_v his_o work_n and_o leave_v the_o work_n imperfect_a he_o may_v find_v difficulty_n in_o the_o second_o down_o go_v to_o find_v sometime_o the_o place_n where_o he_o be_v or_o the_o thing_n he_o be_v about_o to_o lift_v v_o g._n a_o chest_n of_o gold_n if_o it_o be_v say_v that_o a_o great_a weight_n of_o stone_n or_o lead_n be_v require_v to_o sink_v a_o ark_n 8_o foot_n high_a which_o will_v amount_v to_o 4032_o pound_n weight_n i_o answer_v it_o be_v so_o indeed_o but_o here_o be_v the_o advantage_n when_o it_o be_v once_o below_o the_o surface_n there_o be_v little_a more_o trouble_n then_o with_o a_o ark_n of_o lesser_a dimension_n because_o of_o the_o equipondium_fw-la that_n between_o it_o and_o the_o weight_n that_o sink_v it_o in_o such_o a_o vessel_n many_o trial_n may_v be_v make_v as_o first_o that_o of_o the_o torricellian-experiment_n which_o be_v nothing_o else_o but_o a_o glass-tub_n so_o many_o inch_n long_o with_o a_o mercurial_a cylinder_n in_o it_o of_o 29_o inch_n high_a that_o be_v suppose_v to_o be_v keep_v up_o at_o that_o height_n by_o the_o pressure_n of_o the_o air._n if_o this_o be_v take_v down_o about_o 34_o foot_n it_o be_v very_o probable_a the_o mercury_n will_v rise_v other_o 29_o inch_n the_o reason_n be_v because_o the_o air_n within_o the_o ark_n that_o press_v upon_o the_o surface_n of_o the_o stagnant_a mercury_n must_v be_v under_o as_o much_o pressure_n again_o as_o the_o air_n above_o but_o the_o air_n above_o be_v able_a to_o support_v 29_o therefore_o this_o air_n must_v sustain_v 58._o the_o reason_n why_o the_o bensil_n be_v exact_o double_v be_v this_o 34_o foot_n of_o water_n have_v exact_o as_o much_o pressure_n in_o it_o as_o the_o whole_a element_n of_o air_n therefore_o the_o air_n within_o the_o ark_n be_v 34_o foot_n down_o must_v not_o only_o have_v in_o it_o the_o pressure_n of_o the_o air_n above_o but_o the_o pressure_n of_o the_o water_n likewise_o this_o necessary_o follow_v because_o when_o two_o fluids_n touch_n or_o be_v contiguous_a to_o other_o the_o one_o can_v be_v under_o five_o degree_n of_o pressure_n unless_o the_o other_o be_v under_o as_o many_o according_a to_o this_o reason_n if_o the_o ark_n go_v down_o 68_o foot_n the_o mercury_n will_v rise_v from_o 58_o to_o 87._o if_o to_o 102_o it_o rise_v 116._o this_o reckon_n be_v found_v upon_o this_o namely_o that_o water_n be_v 14_o time_n light_a than_o mercury_n and_o therefore_o one_o inch_n of_o mercury_n require_v 14_o of_o water_n to_o support_v it_o in_o a_o tub_n and_o therefore_o before_o water_n be_v able_a to_o raise_v 29_o inch_n of_o it_o the_o pipe_n must_v be_v 34_o foot_n deep_a for_o a_o second_o trial_n blow_v a_o bladder_n as_o full_a of_o wind_n as_o it_o can_v hold_v and_o have_v knit_v the_o neck_n about_o with_o a_o packthread_n place_v it_o in_o the_o ark_n and_o you_o will_v find_v the_o side_n that_o have_v be_v stiff_o bend_v become_v flaccid_a and_o feeble_a as_o if_o the_o one_o half_a of_o the_o wind_n have_v go_v out_o and_o this_o will_v come_v to_o pass_v before_o the_o ark_n can_v go_v down_o eight_o or_o nine_o fathom_n the_o strong_a bensil_n of_o the_o air_n within_o the_o ark_n be_v the_o cause_n of_o this_o for_o as_o the_o ark_n go_v down_o the_o air_n grow_v strong_a and_o so_o at_o length_n become_v of_o that_o power_n and_o force_n that_o it_o easy_o overcome_v the_o force_n and_o bensil_n of_o the_o air_n of_o the_o bladder_n and_o reduce_v it_o to_o less_o room_n cause_v the_o side_n become_v flag_a in_o this_o case_n the_o say_a air_n that_o be_v oval_a and_o have_v the_o form_n of_o the_o bladder_n must_v become_v round_o in_o form_n of_o a_o globe_n because_o of_o the_o uniform_a pressure_n that_o it_o suffer_v from_o the_o air_n of_o the_o ark._n when_o once_o the_o ark_n be_v down_o 14_o or_o 15_o fathom_n take_v the_o same_o bladder_n and_o blow_v it_o stiff_o with_o wind_n and_o knit_v the_o neck_n as_o afore_o and_o you_o will_v find_v that_o in_o the_o up-coming_a the_o side_n of_o it_o will_v burst_v asunder_o with_o a_o noise_n when_o the_o bladder_n be_v thus_o full_a of_o wind_n it_o be_v suppose_v that_o there_o be_v a_o sort_n of_o counterpoise_n between_o it_o and_o the_o air_n of_o the_o ark._n but_o as_o the_o ark_n ascend_v the_o air_n of_o it_o become_v weak_a and_o weak_a while_o in_o the_o mean_a time_n the_o air_n of_o the_o bladder_n suffer_v no_o relaxation_n therefore_o when_o the_o ark_n come_v near_o the_o surface_n there_o arise_v a_o great_a disproportion_n between_o the_o one_o air_n and_o the_o other_o as_o to_o strength_n and_o therefore_o the_o air_n of_o the_o bladder_n be_v the_o strong_a rend_v the_o side_n in_o piece_n and_o come_v out_o with_o a_o noise_n or_o blow_v it_o but_o half_o full_a of_o wind_n and_o you_o will_v find_v before_o the_o ark_n come_v near_o to_o the_o top_n the_o say_a bladder_n to_o be_v bend_v to_o the_o full_a for_o a_o three_o trial_n take_v a_o glass_n such_o as_o they_o use_v in_o cave_n for_o preserve_v of_o brandy_n and_o stop_v the_o mouth_n close_o take_v it_o down_o with_o you_o in_o the_o ark_n and_o you_o will_v see_v the_o side_n of_o it_o break_v in_o piece_n before_o you_o go_v down_o four_o or_o five_o fathom_n the_o strong_a bensil_n of_o the_o ambient_fw-la air_n be_v the_o cause_n of_o this_o if_o you_o take_v it_o down_o with_o the_o orifice_n open_a no_o hurt_n shall_v befall_v it_o or_o if_o you_o stop_v the_o orifice_n in_o the_o up-coming_a you_o will_v find_v the_o same_o hurt_n come_v to_o it_o but_o here_o be_v the_o difference_n in_o the_o first_o burst_v the_o side_n be_v press_v inward_a by_o the_o ambient_fw-la air_n in_o the_o second_o the_o side_n be_v press_v outward_a by_o the_o air_n within_o the_o glass_n for_o a_o four_o trial_n take_v a_o round_a glass-bottle_n pretty_a strong_a in_o the_o side_n and_o when_o it_o be_v down_o with_o you_o in_o the_o ark_n 14_o or_o 15_o fathom_n stop_v the_o mouth_n of_o it_o exact_o and_o when_o it_o come_v above_o you_o will_v find_v a_o considerable_a quantity_n of_o wind_n come_v out_o of_o it_o when_o the_o orifice_n be_v open_v this_o evident_o demonstrat_n that_o the_o air_n within_o the_o ark_n 12_o 13_o or_o 14_o fathom_n down_o be_v under_o a_o far_o strong_a bensil_n than_o the_o air_n above_o for_o a_o five_o trial_n let_v a_o man_n apply_v to_o his_o skin_n a_o cold_a cupping-glass_n when_o he_o enter_v the_o ark_n and_o he_o will_v find_v such_o a_o swell_a arise_v within_o it_o as_o when_o it_o be_v apply_v hot_a by_o a_o chirurgeon_n this_o tumour_n begin_v to_o rise_v assoon_o as_o the_o ark_n begin_v to_o go_v down_o the_o reason_n be_v evident_a from_o unequal_a pressure_n the_o part_n within_o the_o glass_n be_v less_o press_v than_o the_o part_n without_o for_o a_o six_o trial_n take_v a_o common_a weatherglass_n and_o place_v it_o in_o the_o ark_n and_o in_o the_o go_n down_o you_o will_v see_v the_o liquor_n creep_v up_o in_o it_o by_o degree_n as_o the_o ark_n go_v down_o as_o if_o some_o extraordinary_a cold_a be_v the_o cause_n of_o it_o and_o as_o the_o ark_n come_v up_o by_o degree_n the_o say_a liquor_n creep_v
may_v have_v a_o wide_a vessel_n that_o may_v receive_v the_o same_o glass_n into_o it_o and_o it_o be_v full_a of_o water_n may_v so_o cover_v the_o seal_a orifice_n that_o there_o shall_v be_v no_o hazard_n of_o any_o air_n come_v in_o or_o this_o experiment_n may_v be_v first_o try_v at_o the_o root_n of_o the_o hill_n and_o have_v stop_v complete_o the_o mouth_n of_o the_o vessel_n the_o whole_a engine_n may_v be_v carry_v up_o to_o the_o top_n where_o you_o will_v find_v the_o mercury_n subside_o and_o fall_v down_o so_o much_o namely_o after_o the_o say_a orifice_n be_v open_v for_o as_o the_o stop_n of_o the_o orifice_n at_o the_o root_n of_o the_o hill_n be_v the_o cause_n why_o that_o same_o degree_n of_o pressure_n remain_v in_o the_o stagnant_a liquor_n so_o the_o open_n of_o it_o upon_o the_o top_n of_o the_o hill_n be_v the_o cause_n why_o it_o become_v less_o this_o experiment_n let_v we_o see_v that_o the_o pressure_n of_o the_o air_n seem_v to_o be_v as_o the_o 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inquiry_n make_v by_o some_o anent_o the_o reason_n why_o the_o dead_a body_n of_o a_o man_n or_o beast_n rise_v from_o the_o ground_n of_o a_o water_n after_o it_o have_v be_v there_o three_o or_o four_o day_n but_o though_o many_o have_v endeavour_v to_o solve_v the_o question_n yet_o the_o difficulty_n remain_v and_o in_o effect_v it_o can_v be_v answer_v without_o the_o knowledge_n of_o the_o forego_n doctrine_n anent_o the_o nature_n of_o fluid_a body_n to_o find_v out_o the_o reason_n then_o of_o this_o phenomenon_n consider_v that_o all_o body_n be_v either_o natural_o heavy_a than_o water_n as_o stone_n and_o lead_n or_o natural_o light_a as_o wood_n and_o timber_n if_o they_o be_v heavy_a they_o sink_v if_o they_o be_v light_a
vivens_fw-la in_o animal_n albeit_o i_o doubt_v not_o but_o the_o red_a spirit_n or_o blood_n in_o most_o terrestrial_a animal_n be_v the_o first_o product_n of_o the_o primigenial_a juice_n and_o therefore_o not_o improper_o name_v the_o true_a callidum_fw-la innatum_fw-la of_o these_o creature_n by_o the_o noble_a and_o ingenious_a harvey_n in_o his_o book_n de_fw-fr generatione_n neither_o do_v i_o scruple_n to_o yield_v that_o the_o heart_n and_o appendent_a vessel_n be_v the_o first_o form_v and_o perfect_v part_n in_o the_o hot_a kind_n of_o animal_n yet_o i_o be_o confident_a to_o affirm_v that_o in_o many_o of_o the_o cold_a and_o moist_a kind_n of_o aquaticks_n if_o not_o in_o all_o neither_o the_o redness_n and_o heat_n of_o the_o vital_a spirit_n nor_o the_o formation_n of_o the_o heart_n liver_n etc._n etc._n be_v previous_o requisite_a to_o the_o structure_n and_o existence_n of_o the_o other_o part_n see_v the_o light_n of_o life_n which_o at_o first_o inhabit_v the_o clear_a and_o cristalin_n radical_a moisture_n before_o the_o formation_n of_o any_o particular_a part_n do_v always_o move_v in_o every_o live_a creature_n according_a to_o their_o particular_a exigency_n without_o any_o absolute_a dependency_n upon_o any_o one_o part_n or_o member_n except_v singular_a condition_n wherein_o they_o may_v be_v state_v as_o to_o its_o substance_n light_n and_o motion_n there_o be_v in_o some_o animal_n a_o simple_a undulation_n in_o other_o a_o slow_a creep_a but_o in_o the_o more_o perfect_a a_o impetuous_a run_n or_o rather_o fly_v of_o the_o vital_a spirit_n necessary_o require_v for_o illumination_n and_o vivification_n of_o the_o whole_a for_o confirmation_n i_o shall_v give_v you_o this_o singular_a experiment_n about_o the_o middle_n of_o march_n the_o sperm_n of_o frog_n according_a to_o the_o number_n of_o prolific_a egg_n therein_o contain_v send_v forth_o a_o multitude_n of_o small_a round_a creature_n cover_v with_o a_o black_a and_o movable_a frock_n which_o about_o the_o end_n of_o march_n and_o beginning_n of_o april_n by_o the_o gyration_n of_o a_o tail_n behind_o like_o a_o rudder_n do_v slow_o move_v their_o body_n in_o the_o water_n at_o this_o time_n have_v open_v several_n of_o they_o i_o find_v nothing_o apparent_a to_o the_o naked_a eye_n but_o a_o clear_a thâ—n_n membran_n under_o the_o forenamed_a black_a frock_n within_o which_o be_v contain_v a_o clear_a water_n and_o some_o small_a fibre_n like_o intestine_n and_o in_o the_o forepart_n a_o small_a orifice_n like_o a_o mouth_n about_o the_o middle_n of_o april_n its_o motion_n be_v more_o vigorous_a and_o the_o tripes_n within_o be_v most_o evident_a lie_v in_o a_o very_a fine_a circular_a order_n but_o as_o yet_o there_o be_v no_o vestige_n of_o heart_n blood_n or_o liver_n etc._n etc._n about_o the_o middle_n of_o may_n the_o foot_n form_v like_o small_a thread_n appear_v through_o the_o black_a coat_n within_o the_o breast_n the_o heart_n be_v then_o visible_a of_o a_o white_a and_o fibrous_a substance_n the_o liver_n be_v white_a and_o the_o gall_n therein_o easy_o discern_v but_o which_o be_v the_o head_n of_o this_o experiment_n the_o vital_a spirit_n in_o form_n of_o a_o clear_a and_o pure_a water_n be_v manifest_o receive_v by_o the_o nervous_a heart_n and_o by_o the_o contraction_n thereof_o transmit_v to_o all_o the_o body_n through_o white_a transparent_a vessel_n which_o be_v full_a of_o this_o liquor_n do_v represent_v the_o lymphatic_a rather_o than_o the_o sanguiferous_a vein_n last_o of_o all_o do_v the_o pneumatick_a vesicles_n which_o in_o this_o amphibium_fw-la supply_v the_o place_n of_o the_o lung_n arise_v in_o the_o breast_n after_o who_o production_n the_o lympid_a and_o crystalin_a liquor_n while_o the_o heart_n be_v turgid_a therewith_o seem_v to_o be_v red_a and_o fiery_a but_o in_o the_o other_o vessel_n it_o be_v of_o a_o faint_a pale_a colour_n until_o about_o or_o near_o the_o end_n of_o june_n the_o frock_n be_v cast_v off_o and_o a_o perfect_a frog_n form_v the_o whole_a vessel_n be_v full_a of_o blood_n or_o a_o red_a substance_n very_o thin_a and_o clear_a the_o liver_n and_o pneumatick_a vesicles_n etc._n etc._n become_v red_a and_o rosy_a so_o that_o the_o blood_n in_o this_o amphibium_fw-la which_o in_o the_o more_o perfect_a animal_n be_v first_o complete_a seem_v to_o be_v the_o last_o part_n in_o attain_v its_o perfection_n that_o salmond_n and_o great_a trout_n have_v a_o aqueous_a liquor_n which_o run_v through_o their_o artery_n and_o vein_n before_o their_o blood_n attain_v the_o true_a consistency_n and_o saturat_fw-la tincture_n i_o be_o certain_a whether_o it_o hold_v in_o many_o other_o i_o suspect_v but_o there_fw-mi not_o affirm_v hence_o it_o may_v be_v if_o man_n observation_n be_v frequent_a in_o all_o kind_n of_o anatomical_a inspection_n in_o several_a embryo_n of_o every_o species_n it_o will_v be_v find_v evident_a that_o the_o blood_n in_o all_o these_o call_v 〈◊〉_d 〈◊〉_d 〈◊〉_d 〈◊〉_d 〈◊〉_d have_v its_o immediate_a original_n from_o a_o simple_a homogeneous_a and_o uniform_a liquor_n and_o do_v by_o gradual_a and_o frequent_a influence_n of_o the_o vital_a ferment_n of_o the_o heart_n receive_v at_o length_n the_o full_a tincture_n essence_n and_o subsistence_n requisite_a for_o vivification_n and_o illumination_n of_o the_o whole_a member_n whether_o this_o experiment_n do_v not_o sufficient_o impugn_v the_o universality_n of_o the_o heart_n first_o live_n the_o original_n of_o the_o gall_n from_o the_o fervour_n and_o ebullition_n of_o the_o blood_n the_o production_n of_o the_o blood_n by_o the_o liver_n and_o many_o other_o ancient_a error_n let_v any_o judge_n who_o will_v but_o take_v pain_n to_o make_v and_o compare_n harvey_v trial_n de_fw-la ovo_fw-la with_o this_o of_o the_o porwigl_n or_o gyrinus_n ab_fw-la ovo_fw-la yea_o if_o the_o aqueous_a liquor_n be_v not_o one_o with_o the_o vital_a spirit_n and_o subsequent_a blood_n than_o my_o eye_n and_o taste_n be_v altogether_o erroneous_a moreover_o it_o be_v to_o be_v wish_v that_o physician_n will_v not_o simple_o stand_v upon_o the_o galenick_n supposition_n of_o the_o four_o allege_a component_n of_o the_o blood_n nor_o any_o such_o or_o equivalent_a fancy_n of_o the_o latter_a chemist_n but_o that_o they_o will_v serious_o examine_v the_o first_o original_n and_o rise_v thereof_o from_o the_o primigenial_a juice_n or_o liquamen_fw-la the_o progress_n and_o perfection_n of_o its_o tincture_n how_o many_o renovation_n or_o new_a tincture_n it_o be_v capable_a of_o the_o vast_a difference_n between_o the_o blood_n of_o old_a and_o young_a animal_n though_o it_o may_v be_v they_o be_v both_o univocal_a substance_n while_o in_o their_o integrity_n within_o the_o vessel_n with_o the_o specific_a discrimination_n not_o only_o of_o that_o of_o any_o one_o aquatic_a from_o any_o volatile_a or_o terrestrial_a but_o likewise_o of_o any_o one_o species_n live_v in_o the_o same_o element_n with_o these_o that_o enjoy_v the_o same_o aliment_n but_o of_o a_o different_a species_n and_o last_o the_o variety_n of_o particular_a constitution_n and_o singular_a property_n of_o individual_a animal_n radicate_v in_o the_o fountain_n of_o life_n or_o first_o original_n of_o the_o blood_n if_o these_o thing_n and_o many_o more_o be_v true_o inquire_v after_o though_o the_o cook_n be_v sometime_o necessitate_v to_o throw_v away_o some_o of_o the_o broth_n with_o the_o scum_n i_o doubt_v not_o but_o the_o neoterick_n invention_n of_o transfusion_n of_o blood_n will_v prove_v altogether_o ridiculous_a and_o the_o ancient_a mistake_n of_o too_o much_o profusion_n of_o this_o treasure_n by_o phlebotomy_n may_v suffer_v some_o reasonable_a check_n from_o infallible_a experience_n and_o sound_a reason_n not_o here_o to_o be_v mention_v there_o be_v truth_n in_o natural_a philosophy_n which_o i_o doubt_v not_o but_o sound_a reason_n and_o experience_n will_v convince_v the_o vain_a world_n of_o in_o due_a time_n observation_n xxiii_o this_o observation_n be_v concern_v the_o aliment_n and_o growth_n of_o plant_n the_o inquisitive_a wit_n of_o this_o and_o the_o last_o 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 14.7_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 assimilat_fw-la 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 vapour_n than_o liquid_a juice_n indeed_o some_o tree_n when_o their_o root-branche_n be_v cut_v even_o in_o winter_n will_v yield_v no_o small_a quantity_n of_o a_o acid_a liquor_n which_o by_o addition_n of_o the_o recent_a leffas_n from_o the_o earth_n smell_v evident_o of_o the_o matrix_fw-la from_o which_o it_o do_v proceed_v moreover_o the_o passage_n especial_o from_o the_o branch_n to_o the_o trunk_n be_v so_o straighten_a and_o contract_v that_o the_o bark_n cleave_v to_o the_o timber_n as_o every_o woodman_n know_v but_o so_o soon_o as_o the_o warm_a spring_n have_v attenuate_v the_o ever-flowing_a juice_n in_o the_o whole_a tree_n then_o do_v it_o become_v turgid_a and_o more_o aqueous_a over_o all_o the_o passage_n and_o channel_n both_o in_o the_o trunk_n and_o among_o the_o tunicle_n and_o particular_a skin_n be_v so_o
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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 sound_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 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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 subterraneous_a space_n as_o in_o coal-mine_n sink_n cave_n and_o other_o such_o like_a he_o have_v likewise_o another_o pleasant_a conception_n about_o the_o generation_n of_o coal_n judge_v it_o to_o be_v form_v gradual_o out_o of_o another_o metal_n as_o of_o till_n by_o the_o help_n of_o water_n of_o which_o he_o himself_o may_v perhaps_o give_v a_o account_n and_o though_o i_o be_v not_o of_o his_o opinion_n in_o that_o matter_n yet_o i_o must_v acknowledge_v i_o be_v take_v with_o it_o and_o shall_v be_v glad_a to_o see_v a_o more_o full_a account_n of_o it_o from_o he_o than_o he_o have_v access_n to_o do_v in_o the_o short_a conference_n we_o have_v the_o effect_n of_o this_o damp_n be_v first_o it_o hinder_v the_o burn_a of_o all_o combustible_a matter_n as_o candle_n coal_n pitch_n sulphur_n etc._n etc._n so_o that_o if_o you_o take_v a_o torch_n light_v and_o let_v it_o down_o to_o a_o sink_v where_o the_o ill_a air_n be_v prevalent_a in_o the_o time_n it_o shall_v straight_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 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of_o coal_n which_o be_v dry_v full_o as_o be_v say_v and_o to_o which_o these_o damp_n be_v incident_a because_o of_o corrupt_a air_n that_o remain_v within_o the_o body_n of_o the_o coal_n or_o other_o metal_n how_o come_v it_o to_o pass_v i_o say_v that_o they_o be_v but_o sometime_o incident_a and_o be_v not_o always_o find_v for_o clear_v this_o it_o be_v certain_a that_o even_o in_o the_o ground_n where_o these_o damp_n be_v most_o frequent_a for_o the_o reason_n above_o mention_v yet_o they_o be_v only_o powerful_a when_o the_o wind_n blow_v from_o such_o a_o certain_a point_n as_o some_o chimney_n that_o do_v only_a smoke_n when_o the_o wind_n be_v in_o such_o a_o airth_n this_o be_v
so_o general_o and_o well_o know_v that_o the_o workman_n observe_v it_o and_o when_o they_o find_v the_o wind_n in_o such_o a_o point_n whence_o they_o fear_v the_o damp_n they_o will_v not_o enter_v under_o ground_n till_o trial_n be_v make_v of_o the_o air_n which_o they_o do_v in_o sink_n by_o first_o let_v down_o a_o light_a candle_n or_o some_o burn_a coal_n which_o if_o they_o do_v not_o burn_v than_o there_o be_v no_o access_n to_o enter_v second_o the_o wind_n in_o which_o this_o ill_a air_n be_v most_o noxious_a and_o hurtful_a blow_v from_o that_o point_n where_o the_o field_n of_o coal_n lie_v that_o be_v not_o yet_o wrought_v which_o seem_v somewhat_o strange_a and_o yet_o when_o due_o consider_v it_o will_v appear_v abundant_o consonant_a to_o reason_n a_o example_n of_o this_o be_v to_o be_v find_v in_o the_o coal_n of_o tranent_n and_o elphingston_n the_o streek_a whereof_o go_v to_o the_o rise_n of_o the_o hill_n above_o ground_n from_o ne_fw-fr to_z sweet_z as_o have_v be_v former_o observe_v so_o that_o the_o begin_n of_o their_o level_n be_v at_o the_o ne_fw-fr point_n of_o the_o streek_a from_o which_o the_o coal_n have_v be_v wrought_v up_o along_o the_o streek_a towards_o the_o sweet_z the_o waste_v lie_v all_o towards_o the_o ne._n yet_o when_o the_o wind_n blow_v from_o ne_fw-fr or_o n_o or_o almost_o from_o any_o other_o point_n of_o the_o compass_n they_o be_v not_o trouble_v with_o this_o damp._n but_o if_o it_o blow_v from_o sweet_z and_o blow_v hard_a they_o be_v in_o hazard_n to_o encounter_v it_o and_o though_o the_o damp_n be_v not_o always_o find_v when_o that_o wind_n blow_v whereof_o there_o may_v be_v some_o particular_a cause_n yet_o it_o be_v never_o observe_v in_o another_o wind_n whether_o it_o blow_v less_o or_o more_o the_o reason_n whereof_o may_v probable_o be_v that_o the_o wind_n blow_v from_o other_o point_n as_o from_o n_o or_o ne_fw-fr have_v more_o access_n to_o enter_v the_o waste_v under_o ground_n and_o move_v the_o air_n that_o be_v in_o they_o towards_o the_o face_n of_o the_o unwrought_a coal_n whence_o be_v suppose_v to_o proceed_v the_o corrupt_a air_n that_o lurk_v in_o the_o rift_n and_o cutter_n thereof_o from_o which_o the_o water_n be_v draw_v away_o and_o occasion_n the_o damp._n now_o this_o air_n be_v move_v by_o the_o force_n of_o the_o wind_n keep_v the_o corrupt_a air_n from_o come_v out_o it_o be_v strong_a than_o the_o other_o whereas_o upon_o the_o contrary_a while_o the_o wind_n blow_v from_o sweet_z it_o enter_v the_o empty_a room_n drive_v the_o air_n under_o ground_n from_o the_o face_n of_o the_o unwrought_a coal_n down_o towards_o the_o old_a waste_n which_o have_v their_o course_n from_o the_o begin_n of_o the_o level_n by_o which_o mean_n the_o air_n that_o be_v corrupt_v within_o the_o bowel_n to_o speak_v so_o of_o the_o coal_n come_v out_o to_o the_o waste_v without_o resistance_n it_o be_v certain_a that_o fluid_a body_n as_o water_n and_o air_n incline_v to_o move_v towards_o that_o place_n where_o they_o meet_v with_o the_o least_o resistance_n hence_o be_v it_o that_o the_o more_o direct_v the_o wind_n be_v in_o blow_v against_o the_o face_n of_o the_o unwrought_a coal_n as_o be_v the_o wind_n from_o ne_fw-fr the_o ill_a air_n be_v the_o more_o repel_v and_o drive_v back_o but_o the_o more_o oblique_a it_o be_v as_o be_v the_o wind_n from_o these_o point_n that_o be_v near_a to_o sweet_z the_o air_n be_v not_o so_o good_a and_o free_a which_o difference_n be_v know_v by_o the_o burn_a of_o candle_n they_o burn_v with_o great_a difficulty_n in_o these_o wind_n than_o in_o other_o which_o blow_n from_o these_o point_n near_o to_o n_o and_o ne._n some_o be_v of_o opinion_n this_o ill_a air_n in_o those_o place_n we_o have_v be_v speak_v of_o come_v from_o the_o great_a waste_v that_o lie_v above_o the_o un-wrought_a coal_n and_o by_o strong_a sweet_z wind_n be_v drive_v through_o the_o cutter_n thereof_o or_o the_o wind_n blow_v from_o that_o point_n and_o come_v through_o these_o cutter_n bring_v the_o corrupt_a air_n along_v with_o it_o even_o as_o after_o a_o shower_n of_o rain_n a_o spait_n of_o water_n come_v and_o carry_v along_v with_o it_o both_o the_o foul_a water_n and_o the_o clean_a it_o meet_v with_o though_o this_o may_v be_v probable_a which_o seem_v to_o be_v your_o own_o opinion_n yet_o the_o other_o seem_v to_o be_v more_o probable_a the_o other_o sort_n of_o damp_n be_v that_o which_o they_o call_v want_v of_o air_n and_o though_o the_o term_n be_v not_o altogether_o proper_a there_o be_v no_o space_n without_o some_o air_n yet_o there_o be_v a_o want_n of_o air_n which_o be_v sufficient_a for_o respiration_n of_o animal_n or_o for_o the_o burn_a of_o fire_n this_o be_v ordinary_o find_v in_o the_o run_n of_o mine_n under_o ground_n for_o convey_v of_o water_n from_o coal_n or_o other_o metal_n or_o in_o the_o waste_a room_n of_o coal_n where_o the_o sink_n be_v very_o deep_a and_o to_o evite_v the_o charge_n thereof_o there_o be_v some_o necessity_n to_o work_v as_o far_o under_o ground_n for_o win_v of_o coal_n as_o be_v possible_a without_o new_a sink_n the_o cause_n seem_v to_o be_v that_o the_o air_n under_o ground_n in_o such_o case_n want_v communication_n with_o the_o air_n above_o ground_n because_o it_o be_v find_v that_o by_o give_v more_o communication_n the_o evil_n be_v cure_v whence_o come_v the_o necessity_n of_o air-hole_n in_o level_n which_o be_v so_o many_o sink_v set_v down_o for_o no_o other_o use_n but_o for_o give_v air_n to_o the_o worker_n some_o be_v of_o opinion_n that_o this_o defect_n may_v be_v supply_v by_o the_o blow_n of_o bellows_o from_o above_o ground_n through_o a_o stroop_n of_o leather_n or_o of_o some_o other_o thing_n which_o must_v run_v along_o to_o the_o end_n of_o the_o level_n for_o keep_v the_o air_n there_o in_o motion_n but_o i_o have_v not_o yet_o hear_v that_o it_o have_v be_v make_v practicable_a the_o effect_n of_o this_o damp_n be_v not_o so_o dangerous_a as_o these_o of_o the_o other_o it_o be_v true_a it_o will_v kill_v animal_n and_o extinguish_v burn_a coal_n and_o candle_n but_o not_o so_o sudden_o as_o the_o former_a and_o so_o people_n be_v not_o so_o ready_o surprise_v by_o it_o the_o other_o seem_v to_o kill_v by_o some_o poisonous_a quality_n in_o this_o animal_n die_v for_o want_v of_o sufficient_a air_n for_o respiration_n therefore_o in_o advance_v in_o a_o coal_n room_n or_o level_v where_o this_o be_v you_o shall_v see_v the_o flame_n of_o the_o candle_n grow_v less_o and_o less_o by_o degree_n till_o at_o last_o it_o be_v total_o extinguish_v and_o the_o person_n enter_v shall_v find_v the_o difficulty_n of_o breathe_v grow_v great_a as_o he_o advance_v forward_o till_o at_o last_o he_o can_v breathe_v at_o all_o hence_o it_o be_v that_o few_o or_o none_o be_v kill_v by_o this_o kind_n of_o damp_n and_o all_o its_o prejudice_n be_v that_o it_o render_v the_o work_n more_o chargeable_a when_o there_o be_v a_o necessity_n to_o remove_v it_o for_o that_o which_o they_o call_v wildfire_n it_o be_v a_o thing_n not_o incident_a but_o to_o very_o few_o coal_n be_v less_o know_v than_o any_o of_o the_o rest_n of_o the_o accident_n that_o follow_v coal_n the_o account_n i_o have_v hear_v of_o it_o be_v that_o in_o some_o coal_n which_o natural_o be_v full_a of_o oil_n and_o that_o be_v as_o they_o call_v they_o faâ—t_a coâ—ls_n there_o be_v a_o certain_a fire_n which_o be_v as_o a_o meteor_n and_o i_o judge_v that_o from_o its_o resemblance_n to_o ignis_fw-la fatuus_fw-la which_o the_o vulgar_a term_v wildfire_n it_o have_v the_o same_o name_n it_o seem_v to_o be_v compose_v of_o some_o fat_a oily_a vapour_n that_o go_v out_o of_o the_o coal_n the_o pore_n thereof_o be_v once_o open_v which_o be_v kindle_v after_o the_o same_o manner_n as_o those_o fire_n above_o ground_n be_v which_o be_v most_o ordinary_o find_v in_o fat_a and_o marish_a ground_n of_o this_o fire_n it_o be_v report_v that_o in_o the_o day_n time_n while_o the_o work_v man_n be_v work_v in_o the_o coal-roome_n it_o come_v to_o no_o height_n though_o it_o be_v sometime_o see_v in_o little_a hole_n of_o the_o coal-wall_n shine_v like_o kindle_a sulphur_n but_o without_o force_n but_o when_o the_o workman_n be_v once_o remove_v and_o have_v stay_v out_o all_o night_n it_o gather_v to_o such_o a_o strength_n that_o at_o its_o first_o encounter_v with_o fire_n which_o the_o coal-hewers_a be_v necessitate_n to_o have_v by_o take_v in_o of_o light_n it_o break_v out_o with_o such_o a_o violence_n that_o it_o kill_v any_o person_n it_o find_v in_o its_o way_n the_o reason_n why_o it_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 work_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 with_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 sawen_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 whereof_o two_o thing_n be_v in_o a_o special_a manner_n to_o be_v regard_v first_o that_o the_o level_v be_v wrought_v without_o ascent_n or_o descent_n the_o best_a way_n for_o try_v this_o be_v by_o the_o surface_n of_o the_o water_n pass_v through_o it_o which_o ought_v to_o be_v as_o little_a move_n as_o can_v be_v for_o the_o loss_n of_o one_o foot_n of_o level_n which_o the_o ground_n give_v be_v a_o loss_n of_o a_o considerable_a parcel_n of_o coal_n to_o be_v dig_v especial_o if_o it_o be_v state_n if_o there_o occur_v any_o metal_n which_o be_v impregnable_a in_o the_o course_n of_o the_o level_n so_o that_o it_o be_v impossible_a to_o follow_v so_o straight_o a_o line_n in_o regard_n the_o mine_n must_v be_v wrought_v over_o the_o top_n of_o that_o stone_n which_o be_v unworkable_a in_o that_o case_n there_o be_v but_o one_o of_o two_o to_o serve_v the_o loss_n of_o level_n either_o the_o coal_n rise_v in_o streek_a towards_o which_o the_o mine_n be_v carry_v and_o if_o that_o be_v then_o after_o that_o stone_n be_v past_a the_o level_n must_v be_v carry_v as_o low_a as_o it_o be_v before_o it_o encounter_v the_o same_o and_o the_o course_n of_o the_o water_n shall_v not_o be_v obstruct_v because_o the_o source_n viz._n the_o coal_n from_o whence_o the_o water_n come_v rise_v high_a than_o the_o stone_n the_o water_n shall_v easy_o pass_v over_o that_o height_n hence_o it_o be_v that_o we_o see_v in_o some_o coal_n that_o have_v be_v wrought_v at_o the_o low_a point_n of_o their_o streek_n by_o a_o drawing-sink_a and_o the_o streek_a rise_v from_o that_o point_n the_o water_n that_o have_v come_v off_o the_o coal_n be_v in_o its_o source_n high_o than_o the_o mouth_n of_o that_o drawing-sink_a have_v make_v it_o to_o overrun_v and_o serve_v to_o discharge_v all_o the_o water_n that_o come_v therefrom_o but_o if_o the_o mine_n be_v run_v to_o a_o coal_n that_o after_o it_o have_v overtake_v it_o rise_v no_o high_a in_o streek_a than_o the_o mine_n itself_o the_o water_n that_o come_v from_o it_o will_v not_o pass_v over_o any_o height_n in_o its_o way_n but_o will_v be_v unquestionable_o stop_v therefore_o in_o case_n such_o a_o impediment_n can_v not_o be_v remove_v as_o many_o time_n such_o metal_n will_v fall_v in_o which_o be_v unworkable_a in_o a_o direct_a line_n the_o use_n of_o a_o siphon_n may_v be_v try_v which_o will_v unquestionable_o supply_v the_o loss_n of_o about_o 32_o foot_n of_o level_n this_o be_v the_o height_n in_o perpendicular_a to_o which_o the_o pressure_n of_o the_o air_n be_v able_a to_o raise_v water_n up_o through_o a_o siphon_n the_o next_o thing_n to_o be_v observe_v in_o carry_v on_o of_o level_n be_v the_o air-hole_n for_o which_o there_o be_v a_o necessity_n indispensable_a in_o set_v down_o whereof_o care_n must_v be_v have_v that_o they_o be_v not_o direct_o upon_o the_o mine_n lest_o rubbish_n fall_v through_o from_o above_o ground_n shall_v stop_v and_o obstruct_v the_o same_o and_o so_o obstruct_v the_o course_n of_o the_o water_n and_o therefore_o it_o be_v better_a they_o be_v set_v down_o at_o a_o side_n their_o only_a use_n be_v to_o communicate_v fresh_a air_n to_o the_o workman_n which_o if_o it_o can_v be_v otherwise_o supply_v as_o i_o think_v it_o not_o utter_o impossible_a will_v render_v the_o charge_n of_o the_o coal-work_n a_o great_a deal_n more_o easy_a other_o thing_n may_v be_v speak_v to_o of_o level_n as_o that_o some_o run_v with_o the_o course_n of_o metal_n they_o pass_v through_o and_o that_o some_o run_v against_o that_o course_n and_o of_o bring_v level_n from_o the_o dip_v of_o a_o upper-coal_n which_o have_v a_o level_n of_o its_o own_o to_o dry_v a_o coal_n lie_v under_o it_o which_o can_v be_v otherwise_o do_v but_o these_o thing_n be_v common_a and_o obvious_a to_o any_o who_o have_v but_o the_o small_a skill_n and_o experience_n i_o shall_v forbear_v this_o confuse_a account_n your_o importunity_n have_v draw_v from_o i_o for_o which_o if_o your_o book_n suffer_v censure_n which_o i_o grant_v it_o may_v do_v as_o to_o this_o part_n of_o it_o you_o be_v to_o blame_v yourself_o and_o so_o i_o rest_v and_o be_o etc._n etc._n finis_fw-la