be_v glad_a to_o understand_v i_o will_v willing_o also_o be_v inform_v whether_o my_o letter_n of_o the_o second_o of_o december_n mention_v above_o be_v come_v to_o your_o hand_n and_o how_o those_o observation_n do_v please_v the_o gentleman_n of_o your_o society_n and_o also_o to_o understand_v the_o receipt_n of_o this_o the_o manner_n how_o the_o say_a mr._n leeuwenhoeck_n do_v make_v these_o discovery_n he_o do_v as_o yet_o not_o think_v fit_a to_o impart_v for_o reason_n best_o know_v to_o himself_o and_o therefore_o i_o be_o not_o able_a to_o acquaint_v you_o with_o what_o it_o be_v but_o as_o to_o the_o way_n i_o have_v make_v use_n of_o i_o here_o free_o discover_v that_o all_o such_o person_n as_o have_v a_o desire_n to_o make_v any_o inquiry_n into_o nature_n this_o way_n may_v be_v the_o better_o enable_v so_o to_o do_v first_o for_o the_o manner_n of_o hold_v the_o liquor_n so_o as_o to_o examine_v it_o by_o the_o microscope_n i_o find_v that_o the_o way_n prescribe_v 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of_o tin_n make_v large_a enough_o to_o contain_v it_o the_o use_n of_o which_o be_v to_o keep_v the_o former_a lamp_n box_n from_o fowl_v the_o board_n or_o table_n on_o which_o it_o stand_v this_o stand_v upon_o a_o board_n about_o one_o foot_n square_a into_o which_o be_v fasten_v a_o standard_n or_o stick_v upright_o cleave_v so_o as_o to_o pinch_v and_o hold_v the_o soder_v pipe_n between_o its_o cleft_n which_o may_v be_v fasten_v with_o a_o screw_n or_o a_o slip_a ring_n through_o which_o pipe_n blow_v with_o your_o breath_n the_o flame_n will_v be_v dart_v forward_o with_o great_a swiftness_n and_o brightness_n if_o then_o into_o this_o flame_n you_o hold_v a_o small_a piece_n of_o a_o glass_n pipe_n make_v of_o white_a glass_n for_o green_a glass_n or_o coarse_a glass_n will_v not_o be_v melt_v easy_o in_o this_o flame_n and_o keep_v it_o turn_v round_o between_o your_o finger_n and_o thumb_n you_o shall_v find_v that_o the_o flame_n will_v in_o a_o very_a short_a time_n 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and_o the_o liquor_n in_o which_o they_o swim_v appear_v dark_a but_o when_o the_o water_n begin_v to_o dry_v off_o the_o bend_n of_o the_o superficies_n of_o the_o liquor_n over_o their_o back_n and_o over_o the_o top_n of_o other_o small_a mote_n which_o be_v in_o the_o water_n make_v a_o confuse_a appearance_n which_o some_o not_o use_v to_o these_o kind_n of_o examination_n take_v to_o be_v quite_o differ_v thing_n from_o what_o they_o be_v real_o and_o the_o appearance_n here_o be_v so_o very_o strange_a that_o to_o one_o not_o well_o accustom_v to_o the_o phaenomena_fw-la of_o fluid_n of_o differ_v figure_n and_o refraction_n the_o examination_n of_o substance_n this_o way_n will_v be_v very_o apt_a to_o mis
the_o island_n lipari_n near_o sicily_n about_o sixteen_o league_n from_o messina_n it_o be_v famous_a for_o the_o best_a raisin_n in_o the_o mediterranean_a there_o be_v on_o it_o a_o large_a castle_n a_o small_a town_n many_o vineyard_n and_o about_o one_o hundred_o family_n beside_o some_o religiose_fw-la i_o judge_v it_o want_v a_o five_o part_n of_o the_o bigness_n of_o the_o isle_n de_fw-fr mayo_n it_o be_v most_o very_a high_a land_n especial_o one_o mountain_n on_o which_o stand_v a_o watch_n tower_n whence_o a_o man_n may_v see_v a_o monstrous_a distance_n at_o sea_n as_o be_v confirm_v by_o the_o ruyter_n in_o the_o relation_n he_o give_v the_o state_n of_o holland_n wherein_o he_o tell_v they_o that_o from_o that_o place_n they_o discern_v the_o french_a fleet_n be_v approach_v long_a before_o they_o can_v from_o any_o other_o part_n either_o of_o their_o own_o or_o the_o other_o island_n i_o be_o sure_a it_o be_v much_o high_a than_o either_o that_o at_o the_o isle_n 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etc._n second_o that_o it_o have_v be_v observe_v and_o compute_v that_o communibus_fw-la annis_fw-la &_o locis_fw-la there_o fall_v water_n enough_o from_o the_o sky_n in_o actual_a rain_n snow_n or_o hail_n upon_o the_o surface_n of_o england_n to_o supply_v all_o the_o water_n that_o run_v back_o into_o the_o sea_n by_o the_o river_n and_o also_o all_o that_o may_v be_v suppose_v to_o evaporate_v nay_o though_o the_o quantity_n of_o the_o first_o be_v suppose_v twice_o as_o much_o as_o real_o it_o be_v this_o i_o have_v be_v assure_v by_o those_o that_o have_v both_o experiment_a and_o calculate_v it_o three_o that_o there_o be_v not_o yet_o certain_o that_o i_o know_v or_o have_v hear_v of_o any_o other_o way_n of_o make_v salt_n water_n fresh_a but_o by_o distillation_n which_o have_v there_o be_v such_o a_o art_n it_o will_v in_o all_o probability_n have_v be_v make_v use_n of_o and_o so_o there_o be_v little_a probability_n that_o the_o spring_n at_o the_o top_n of_o a_o high_a 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other_o time_n they_o find_v the_o ice_n above_o the_o water_n which_o make_v many_o to_o suppose_v that_o it_o ebb_v and_o flow_v by_o mean_n of_o some_o secret_a intercourse_n that_o it_o may_v have_v with_o the_o sea_n they_o aver_v that_o they_o have_v see_v it_o empty_v of_o itself_o but_o this_o gentleman_n so_o soon_o as_o ever_o he_o come_v down_o fix_v his_o eye_n upon_o a_o stone_n that_o lie_v just_a above_o the_o superficies_n of_o the_o water_n and_o observe_v very_o diligent_o but_o can_v not_o in_o all_o the_o space_n that_o he_o stay_v there_o which_o be_v half_o a_o hour_n find_v it_o either_o increase_n or_o diminish_v which_o make_v he_o believe_v that_o the_o fullness_n or_o emptiness_n of_o the_o water_n may_v rather_o proceed_v from_o those_o thick_a fog_n and_o mist_n which_o be_v general_o on_o the_o top_n and_o which_o hinder_v the_o pike_n from_o be_v see_v sometime_o for_o twenty_o thirty_o nay_o forty_o day_n together_o except_o only_o just_a at_o the_o 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very_o hot_a as_o to_o be_v very_o offensive_a to_o their_o foot_n through_o their_o shoe_n and_o he_o observe_v brimstone_n throw_v up_o in_o several_a place_n of_o which_o he_o collect_v some_o and_o bring_v back_o with_o he_o to_o england_n from_o this_o place_n may_v be_v see_v in_o a_o clear_a day_n all_o the_o six_o adjacent_a island_n but_o the_o weather_n be_v then_o somewhat_o thick_a and_o hazy_a they_o can_v discover_v none_o but_o the_o grand_a canary_n palm_n and_o the_o gomera_n which_o last_o though_o distant_a near_o eight_o league_n from_o the_o bottom_n of_o the_o pike_n seem_v yet_o so_o near_o unto_o they_o as_o if_o it_o have_v be_v almost_o under_o they_o the_o rest_n of_o the_o island_n they_o can_v discover_v whereabout_o they_o lie_v by_o mean_n of_o a_o kind_n of_o white_a cloud_n hang_v on_o they_o but_o they_o can_v not_o discern_v the_o island_n through_o those_o cloud_n here_o they_o try_v their_o cordial_a water_n which_o they_o carry_v in_o their_o 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reason_n of_o the_o heat_n of_o the_o sun_n and_o the_o parch_a subtle_a wind_n to_o cast_v their_o skin_n he_o do_v not_o measure_v the_o perpendicular_a height_n of_o the_o hill_n himself_o but_o say_v that_o he_o have_v be_v inform_v by_o divers_a skilful_a seaman_n who_o by_o their_o best_a observation_n have_v take_v the_o height_n of_o it_o that_o it_o be_v between_o three_o and_o four_o mile_n perpendicular_o above_o the_o sea_n in_o this_o relation_n it_o be_v very_o remarkable_a first_o that_o this_o prodigious_a high_a hill_n be_v the_o product_n of_o a_o earthquake_n and_o seem_v heretofore_o to_o have_v be_v a_o vulcano_n or_o burn_a mountain_n like_o those_o of_o aetna_n vesuvius_n hecla_n etc._n etc._n though_o at_o present_v it_o have_v only_a fire_n enough_o leave_v to_o send_v forth_o some_o few_o sulphureous_a fume_n and_o to_o make_v the_o earth_n of_o the_o caldera_n or_o hollow_a pit_n at_o the_o very_a top_n thereof_o in_o some_o place_n almost_o hot_a enough_o to_o burn_v their_o shoe_n that_o pass_v over_o it_o and_o possible_o in_o succeed_a age_n even_o this_o little_a fire_n may_v be_v quite_o extinct_a and_o then_o no_o other_o sign_n thereof_o may_v be_v leave_v but_o a_o prodigious_o high_a rock_n or_o spire_a mountain_n which_o in_o tract_n of_o time_n may_v by_o degree_n waste_v and_o be_v diminish_v into_o a_o hill_n of_o a_o more_o moderate_a height_n now_o as_o this_o hill_n seem_v very_o evident_o to_o be_v the_o effect_n of_o a_o earthquake_n so_o i_o be_o apt_a to_o believe_v that_o most_o if_o not_o all_o other_o hill_n of_o the_o world_n whatever_o may_v have_v be_v the_o same_o way_n generate_v nay_o not_o only_o all_o the_o hill_n but_o also_o the_o land_n which_o appear_v above_o
stone_n by_o a_o engine_n for_o gauge_v of_o glass_n tool_n or_o grind_a glass_n by_o a_o automaton_n in_o all_o which_o case_n there_o be_v need_n of_o a_o constant_a and_o equal_a supply_n of_o water_n and_o sand_n as_o also_o for_o wash_v and_o full_v of_o cloth_n it_o may_v also_o serve_v for_o various_a sort_n of_o clepsydras_n or_o measure_v the_o quantity_n of_o time_n by_o the_o quantity_n of_o the_o current_n of_o water_n as_o i_o shall_v by_o and_o by_o show_n and_o three_o for_o maintain_v any_o slow_a and_o constant_a motion_n as_o that_o of_o a_o jack_n or_o clock_n a_o engine_n for_o continual_o stir_v of_o a_o liquid_a body_n or_o shake_v tumble_a and_o turn_v of_o dry_a solid_n and_o powder_n of_o which_o sort_n there_o be_v a_o great_a number_n of_o use_n in_o chemistry_n for_o the_o operation_n of_o digestion_n calcination_n pound_v grind_v trituration_n searce_a and_o the_o like_a which_o operation_n be_v certain_o even_o and_o constant_o perform_v by_o a_o engine_n supply_v by_o such_o a_o stream_n of_o water_n will_v far_o exceed_v the_o same_o kind_n of_o work_n do_v by_o the_o hand_n of_o man_n especial_o in_o such_o operation_n where_o the_o labour_n and_o diligence_n be_v to_o last_v divers_a day_n and_o night_n together_o without_o any_o intermission_n which_o be_v requisite_n not_o at_o all_o strange_a to_o chemistry_n and_o which_o will_v weary_v the_o diligence_n of_o the_o best_a laborant_fw-la and_o his_o attendant_n a_o three_o effect_n performable_a by_o these_o poise_n be_v the_o make_v a_o perpetual_a and_o constant_a stream_n in_o imitation_n of_o that_o of_o a_o natural_a spring_n or_o fountain_n in_o the_o earth_n this_o may_v be_v do_v if_o the_o cistern_n be_v once_o in_o twenty_o four_o hour_n recrute_v and_o supply_v with_o a_o new_a access_n of_o water_n from_o some_o pipe_n which_o be_v usual_a enough_o here_o in_o london_n and_o elsewhere_o where_o there_o be_v waterwork_n and_o conveyance_n of_o water_n for_o as_o the_o waste_n of_o the_o water_n in_o the_o cistern_n do_v no_o way_n abate_v or_o diminish_v the_o stream_n of_o the_o water_n from_o the_o cistern_n so_o the_o new_a access_n of_o other_o water_n for_o a_o supply_n to_o refill_z the_o cistern_n do_v not_o at_o all_o accelerate_v it_o but_o the_o stream_n remain_v equal_a and_o hence_o consequent_o constant_a and_o as_o it_o be_v perpetual_a a_o four_o effect_n be_v the_o deliver_v any_o quantity_n of_o water_n to_o any_o degree_n of_o swiftness_n and_o the_o whole_a quantity_n of_o the_o water_n by_o the_o same_o degree_n this_o be_v perform_v by_o tapping_z the_o cistern_n at_o any_o part_n of_o the_o depth_n thereof_o for_o according_a as_o the_o vessel_n be_v tap_v low_a under_o the_o surface_n so_o will_v the_o motion_n of_o the_o water_n be_v swift_a and_o here_o the_o depth_n must_v be_v in_o a_o duplicate_v proportion_n to_o the_o velocity_n desire_v as_o for_o instance_n the_o cistern_n be_v tap_v with_o a_o hole_n of_o a_o quarter_n of_o a_o inch_n bear_v at_o the_o depth_n of_o a_o inch_n below_o the_o surface_n be_v find_v to_o deliver_v a_o certain_a quantity_n of_o water_n in_o a_o minute_n if_o it_o be_v desire_v that_o through_o a_o tap_n of_o the_o same_o bear_v there_o shall_v be_v deliver_v twice_o that_o quantity_n the_o cistern_n must_v be_v tap_v at_o four_o inch_n deep_a and_o if_o thrice_o that_o quantity_n in_o the_o same_o time_n it_o must_v be_v tap_v at_o nine_o inch_n deep_a and_o so_o forward_o as_o be_v already_o demonstrate_v by_o mersennus_n and_o other_o author_n for_o since_o the_o pressure_n of_o fluid_n upon_o the_o part_n thereof_o increase_v in_o the_o same_o proportion_n with_o the_o depth_n below_o the_o surface_n and_o since_o the_o force_n requisite_a to_o accelerate_v motion_n must_v always_o be_v in_o duplicate_v proportion_n to_o the_o acceleration_n it_o follow_v that_o the_o perpendicular_a depth_n of_o the_o tap_n under_o the_o superficies_n of_o the_o water_n must_v be_v always_o in_o duplicate_v proportion_n to_o the_o velocity_n require_v the_o plainness_n and_o certainty_n of_o this_o truth_n in_o hydrostaticks_n long_o since_o so_o full_o and_o excellent_o demonstrate_v by_o stivinus_fw-la of_o all_o fluid_n and_o so_o high_o improve_v of_o late_a in_o the_o particular_a application_n thereof_o by_o many_o more_o modern_a author_n who_o have_v write_v most_o learned_o and_o clear_o thereof_o as_o well_o as_o experimental_o and_o practical_o make_v i_o much_o admire_v at_o the_o learned_a doctor_n more_o who_o in_o his_o enchiridion_n metaphysicum_fw-la in_o the_o 11_o 12_o and_o 13_o chapter_n and_o in_o a_o book_n new_o publish_v call_v remark_n upon_o two_o late_a ingenious_a discourse_n etc._n etc._n do_v not_o only_o deny_v this_o gravitation_n in_o the_o part_n of_o air_n but_o of_o water_n quicksilver_n and_o other_o liquor_n and_o instead_o thereof_o to_o solve_v the_o phenomena_n will_v introduce_v into_o the_o world_n a_o principle_n which_o he_o term_v a_o hylarchick_a spirit_n which_o at_o command_n act_n and_o perform_v whatsoever_o be_v necessary_a to_o solve_v all_o the_o phenomena_n of_o mechanical_a hydrostatical_a and_o in_o a_o word_n all_o physical_a motion_n and_o effect_n in_o answer_n to_o who_o doctrine_n about_o hydrostaticks_n i_o shall_v only_o urge_v this_o one_o experiment_n of_o the_o velocity_n of_o the_o current_n of_o fluids_n tap_v and_o run_v at_o several_a depth_n under_o the_o superficies_n of_o that_o fluid_a which_o can_v no_o way_n be_v solve_v by_o the_o hylarchick_a spirit_n and_o we_o must_v be_v fain_o to_o come_v to_o the_o mechanical_a and_o plain_a rule_n of_o motion_n and_o to_o allow_v every_o particular_a of_o that_o fluid_a to_o press_v with_o its_o own_o gravity_n where_o ever_o place_v and_o this_o i_o will_v prove_v from_o his_o own_o word_n in_o his_o enchiridion_n metaphysicum_fw-la pag._n 113._o where_n explain_v very_o ingenious_o the_o hypothesis_n of_o gravitation_n of_o the_o part_n of_o fluids_n one_o upon_o another_o by_o the_o similitude_n of_o six_o man_n stand_v in_o a_o line_n and_o press_v against_o a_o wall_n which_o man_n he_o mark_n with_o a_o b_o c_o d_o e_o f_o and_o the_o wall_n with_o g_z he_o say_v that_o a_o the_o first_o man_n can_v press_v f_o the_o last_o against_o the_o wall_n g_o but_o by_o press_v b_o against_o c_o and_z c_o against_o d_o and_z d_o against_o e_z and_z e_z against_o f_o nor_o can_v a_o press_n b_o against_o c_o nor_o c_z press_v d_o against_o e_z nor_o e_z press_v f_o against_o the_o wall_n g_o but_o at_o the_o same_o time_n it_o must_v be_v understand_v that_o b_o press_n d_o towards_o f_o and_o d_o press_v f_o towards_o the_o wall_n g_o for_o a_o c_o and_o e_o say_v he_o be_v here_o put_v for_o des_n cartes_n materia_fw-la coelestibus_fw-la press_v the_o part_n of_o the_o water_n within_o the_o pore_n and_o b_o d_o and_o f_o for_o those_o part_n of_o the_o water_n press_v the_o bottom_n of_o the_o vessel_n but_o say_v he_o that_z b_o press_n d_o and_z d_o press_v f_o appear_v from_o this_o that_o cast_v out_o e_z and_o f_o d_o do_v run_v to_o the_o wall_n g_o and_o cast_v out_o c_o d_o e_o and_o f_o b_o also_o will_v run_v to_o the_o say_v wall_n and_o so_o say_v he_o the_o state_n of_o the_o matter_n will_v be_v if_o gravity_n do_v proceed_v from_o the_o mere_a mechanical_a motion_n impart_v to_o the_o terrestrial_a part_n of_o the_o fluid_a by_o the_o materia_fw-la coelestibus_fw-la of_o des_n cartes_n to_o wit_n the_o element_n will_v actual_o gravitate_fw-la in_o their_o proper_a place_n but_o since_o there_o be_v no_o such_o thing_n it_o be_v a_o sure_a sign_n that_o gravity_n do_v arise_v from_o a_o high_a cause_n which_o high_a cause_n he_o elsewhere_o suppose_v to_o be_v a_o hylarchick_a spirit_n this_o from_o so_o plain_a reason_n be_v a_o strange_a conclusion_n and_o contrary_a to_o all_o experience_n now_o though_o i_o confess_v i_o suppose_v gravity_n to_o be_v otherwise_o perform_v than_o as_o des_fw-mi cartes_n have_v suppose_v yet_o do_v i_o believe_v his_o supposition_n so_o rational_a and_o ingenious_a and_o so_o much_o above_o the_o objection_n bring_v against_o they_o and_o so_o much_o better_a than_o any_o other_o i_o have_v yet_o meet_v with_o as_o no_o wise_a to_o deserve_v to_o be_v esteem_v foeda_fw-la deliria_fw-la as_o the_o learned_a doctor_n be_v please_v to_o term_v they_o pag._n 125._o it_o shall_v not_o be_v my_o business_n to_o defend_v des_fw-mi cartes_n principle_n at_o the_o present_a nor_o to_o set_v up_o any_o new_a hypothesis_n instead_o thereof_o but_o only_o to_o urge_v this_o experiment_n of_o the_o run_n of_o a_o liquor_n swift_a and_o swift_a according_a as_o the_o hole_n through_o which_o it_o run_v be_v deep_a and_o deep_o place_v
pulse_n it_o be_v propagate_v to_o 4_o below_z c_o before_o the_o other_o side_n of_o the_o pulse_n touch_v the_o superficies_n at_o d_o the_o pulse_n therefore_o 44_o 55_o 66_o etc._n etc._n become_v oblique_a to_o the_o tendency_n of_o the_o radiation_n and_o by_o the_o superficies_n of_o it_o be_v reflect_v by_o 77_o 77_o 77_o till_o it_o touch_v the_o second_o refract_n superficies_n g_o h_o where_o it_o be_v observable_a that_o the_o same_o side_n of_o the_o ray_n that_o enter_v first_o the_o superficies_n c_o d_o enters_z first_o into_o the_o superficies_n g_o h_o in_o the_o same_o manner_n as_o if_o it_o have_v proceed_v on_o by_o the_o straight_a line_n f_o m_o e_o l_o till_o it_o meet_v with_o a_o parallel_n superficies_n l_o m_o to_o the_o first_o c_o d_o for_o the_o ray_n between_o the_o two_o parallel_n line_n f_o h_z e_o g_o have_v the_o same_o inclination_n and_o respect_n to_o the_o refract_a superficies_n h_o g_o that_o the_o ray_n between_o f_o m_o and_o e_o l_o will_v have_v to_o the_o superficies_n m_o l_o suppose_v there_o be_v no_o reflect_v superficies_n at_o e_o f._n i_o shall_v not_o need_v i_o hope_v more_o particular_o to_o demonstrate_v every_o part_n of_o this_o explanation_n the_o very_a observe_v the_o delineation_n of_o the_o scheme_n be_v enough_o to_o make_v it_o plain_a to_o any_o one_o never_o so_o little_o verse_v in_o geometry_n from_o which_o he_o will_v plain_o perceive_v that_o what_o i_o endeavour_v to_o demonstrate_v be_v real_o so_o and_o that_o i_o do_v understand_v what_o scope_n my_o demonstration_n aim_v at_o so_o far_o as_o to_o hit_v the_o mark_n which_o be_v to_o show_v that_o colour_n be_v generate_v where_o according_a to_o des_n cartes_n own_o principle_n there_o can_v be_v no_o rotation_n of_o the_o globuli_fw-la now_o though_o the_o learned_a doctor_n will_v not_o admit_v of_o this_o demonstration_n to_o be_v sufficient_a to_o do_v the_o work_n yet_o he_o say_v pag._n 252._o veruntamen_fw-la dissimulandum_fw-la non_fw-la est_fw-la non_fw-la pauca_fw-la i_o meapte_v opera_fw-la excogitasse_fw-la quibus_fw-la pro_fw-la persuasissimo_fw-la habeo_fw-la eorum_fw-la motus_fw-la &_o rotationes_fw-la modis_fw-la pure_a mechanicis_fw-la semper_fw-la fieri_fw-la non_fw-la posse_fw-la and_o in_o prosecution_n of_o the_o destruction_n of_o this_o rotation_n of_o the_o globuli_fw-la which_o he_o have_v hitherto_o seem_v to_o defend_v he_o add_v four_o several_a argument_n i_o shall_v not_o now_o stay_v to_o repeat_v they_o but_o whosoever_o will_v please_v to_o read_v what_o the_o learned_a doctor_n have_v suapte_v opera_fw-la excogitated_a against_o the_o cartesian_a hypothesis_n and_o set_v down_o in_o the_o 252_o 253_o 254_o and_o 255._o page_n and_o compare_v they_o with_o what_o i_o have_v say_v in_o the_o forementioned_a place_n to_o wit_n at_o the_o latter_a end_n of_o the_o 60._o and_o the_o beginning_n of_o the_o 61._o page_n of_o my_o micrographia_fw-la may_v plain_o find_v the_o argument_n bring_v by_o the_o doctor_n do_v very_o little_a if_o at_o all_o differ_v from_o those_o i_o there_o publish_v i_o can_v hearty_o therefore_o have_v wish_v that_o the_o learned_a doctor_n have_v make_v use_n of_o some_o other_o medium_n to_o prove_v the_o existence_n of_o a_o hylarchick_a spirit_n and_o not_o have_v meddle_v with_o argument_n draw_v either_o from_o mechanic_n or_o optic_n for_o i_o doubt_v that_o such_o as_o understand_v those_o subject_n well_o will_v plain_o see_v that_o there_o be_v no_o need_n of_o any_o such_o hylarchick_a spirit_n and_o if_o there_o be_v no_o need_n of_o it_o but_o that_o all_o the_o phenomena_n may_v be_v do_v without_o it_o than_o it_o be_v probable_a that_o there_o be_v none_o there_o for_o natura_fw-la nihil_fw-la agit_fw-fr frustra_fw-la it_o have_v be_v much_o easy_a to_o have_v prove_v the_o existence_n of_o it_o by_o argument_n draw_v from_o subject_n we_o less_o perfect_o understand_v as_o from_o the_o generation_n nutrition_n vegetation_n and_o propagate_a of_o vegetable_n and_o animal_n substance_n for_o there_o the_o manner_n of_o the_o progress_n of_o nature_n be_v infinite_o more_o curious_a and_o abstruse_a and_o further_o remove_v beyond_o the_o reach_n of_o our_o sense_n and_o understanding_n one_o may_n more_o bold_o assert_v strange_a thing_n of_o this_o hylarchick_a spirit_n without_o fear_n of_o control_n or_o contradiction_n and_o from_o whence_o possible_o it_o may_v never_o lie_v within_o the_o power_n of_o reason_v to_o banish_v he_o but_o to_o leave_v this_o digression_n and_o return_v to_o the_o use_n of_o these_o waterpoise_n a_o five_o effect_n may_v be_v for_o wash_v and_o refine_n of_o earth_n clay_n powder_n and_o the_o like_a the_o clear_a water_n by_o these_o contrivance_n be_v make_v to_o run_v over_o gentle_o at_o the_o top_n and_o so_o leave_v all_o the_o settlement_n from_o the_o water_n at_o the_o bottom_n by_o any_o one_o of_o these_o with_o a_o receptacle_n cistern_n add_v to_o it_o the_o stream_n of_o water_n from_o that_o cistern_n may_v be_v accelerate_a or_o retard_v by_o any_o degree_n desirable_a this_o do_v depend_v partly_o from_o the_o proportion_n of_o the_o tap_n of_o the_o receptacle_n cistern_n to_o the_o tap_n of_o the_o counterpoise_a cistern_n and_o partly_o from_o the_o shape_n and_o make_v of_o the_o receptacle_n cistern_n by_o the_o proportion_n and_o shape_n of_o which_o the_o stream_n of_o liquor_n through_o the_o tap_n of_o the_o receptacle_n cistern_n may_v be_v modulate_v at_o pleasure_n as_o any_o one_o a_o little_a verse_v in_o hydrostaticks_n will_v easy_o perceive_v and_o demonstrate_v a_o six_o effect_n may_v be_v for_o govern_v the_o heat_n of_o lamp_n for_o distillation_n digestion_n fermentation_n putrefaction_n dissolution_n hatch_n the_o egg_n of_o bird_n or_o infect_v accelerate_v and_o season_v or_o time_v the_o growth_n of_o plant_n neal_v of_o glass_n and_o metal_n by_o the_o gradual_a access_n of_o the_o heat_n so_o 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temperate_a cordial_n etc._n etc._n by_o help_n of_o which_o and_o some_o other_o propitious_a circumstance_n he_o not_o only_o recover_v his_o leg_n become_v able_a to_o walk_v and_o ride_v a_o small_a journey_n but_o also_o consummate_v marriage_n with_o a_o young_a woman_n of_o 25_o who_o afterward_o bring_v he_o two_o child_n whereof_o one_o be_v now_o alive_a and_o very_o lusty_a and_o be_v seven_o month_n go_v with_o a_o three_o when_o he_o die_v the_o more_o wonderful_a if_o the_o woman_n be_v just_a to_o he_o of_o which_o there_o appear_v no_o reason_n to_o doubt_v because_o a_o very_a little_a motion_n will_v so_o increase_v his_o difficulty_n of_o breathe_v as_o to_o make_v he_o faint_a after_o matrimony_n he_o have_v divers_a lucid_a interval_n at_o time_n will_v be_v very_o brisk_a and_o at_o other_o very_o languid_a and_o faint_a like_o a_o
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must_v be_v eight_o thousand_o time_n swift_a than_o the_o former_a and_o above_o a_o thousand_o time_n swift_a than_o the_o late_a if_o therefore_o a_o quantity_n of_o this_o body_n be_v enclose_v by_o a_o solid_a body_n and_o that_o be_v so_o contrive_v as_o to_o compress_v it_o into_o less_o room_n the_o motion_n thereof_o suppose_v the_o heat_n the_o same_o will_v continue_v the_o same_o and_o consequent_o the_o vibration_n and_o occursion_n will_v be_v increase_v in_o reciprocal_a proportion_n that_o be_v if_o it_o be_v condense_v into_o half_a the_o space_n the_o vibration_n and_o occursion_n will_v be_v double_a in_o number_n if_o into_o a_o quarter_n the_o vibration_n and_o occursion_n will_v be_v quadruple_a etc._n etc._n again_o if_o the_o contain_v vessel_n be_v so_o contrive_v as_o to_o leave_v it_o more_o space_n the_o length_n of_o the_o vibration_n will_v be_v proportionable_o enlarge_v and_o the_o number_n of_o vibration_n and_o occursion_n will_v be_v reciprocal_o diminish_v that_o be_v if_o it_o be_v suffer_v to_o extend_v to_o twice_o its_o former_a dimension_n its_o vibration_n will_v be_v twice_o as_o long_o and_o the_o number_n of_o its_o vibration_n and_o occursion_n will_v be_v few_o by_o half_a and_o consequent_o its_o endeavour_n outward_a will_v be_v also_o weak_a by_o half_a these_o explanation_n will_v serve_v mutatis_fw-la mutandis_fw-la for_o explain_v the_o spring_n of_o any_o other_o body_n whatsoever_o it_o now_o remain_v that_o i_o show_v how_o the_o constitution_n of_o springy_a body_n be_v such_o the_o vibration_n of_o a_o spring_n or_o a_o body_n move_v by_o a_o spring_n equal_o and_o uniform_o shall_v be_v of_o equal_a duration_n whether_o they_o be_v great_a or_o less_o i_o have_v here_o already_o show_v then_o that_o the_o power_n of_o all_o spring_n be_v proportionate_a to_o the_o degree_n of_o flexure_n viz._n one_o degree_n of_o flexure_n or_o one_o space_n bend_v have_v one_o power_n two_o have_v two_o and_o three_o have_v three_o and_o so_o forward_o and_o every_o point_n of_o the_o space_n of_o flexure_n have_v a_o peculiar_a power_n and_o consequent_o there_o be_v infinite_a point_n of_o the_o space_n there_o must_v be_v infinite_a degree_n of_o power_n and_o consequent_o all_o those_o power_n begin_v from_o nought_o and_o end_v at_o the_o last_o degree_n of_o tension_n or_o bend_n add_v together_o into_o one_o sum_n or_o aggregate_v will_v be_v in_o duplicate_v proportion_n to_o the_o space_n bend_a or_o degree_n of_o flexure_n that_o be_v the_o aggregate_v of_o the_o power_n of_o the_o spring_n tend_v from_o its_o quiescent_n posture_n by_o all_o the_o intermediate_v point_n to_o one_o space_n be_v it_o what_o length_n you_o please_v be_v equal_a or_o in_o the_o same_o proportion_n to_o the_o square_n of_o one_o suppose_v the_o say_a space_n infinite_o divisible_a into_o the_o fraction_n of_o one_o to_o two_o be_v equal_a or_o in_o the_o same_o proportion_n to_o the_o square_n of_o two_o that_o be_v four_o to_o three_o be_v equal_a or_o in_o the_o same_o proportion_n to_o the_o square_n of_o three_o that_o be_v nine_o and_o so_o forward_o and_o consequent_o the_o aggregate_v of_o the_o first_o space_n will_v be_v one_o of_o the_o second_o space_n will_v be_v three_o of_o the_o three_o space_n will_v be_v five_o of_o the_o four_o will_v be_v seven_o and_o so_o onward_o in_o a_o arithmetical_a proportion_n be_v the_o degree_n or_o excess_n by_o which_o these_o aggregate_n exceed_v one_o another_o the_o spring_n therefore_o in_o return_v from_o any_o degree_n of_o flexure_n to_o which_o it_o have_v be_v bend_v by_o any_o power_n receive_v at_o every_o point_n of_o the_o space_n return_v a_o impulse_n equal_a to_o the_o power_n of_o the_o spring_n in_o that_o point_n of_o tension_n and_o in_o return_v the_o whole_a it_o receive_v the_o whole_a aggregate_v of_o all_o the_o force_n belong_v to_o the_o great_a degree_n of_o that_o tension_n from_o which_o it_o return_v so_o a_o spring_n bend_v two_o space_n in_o its_o return_n receive_v four_o degree_n of_o impulse_n that_o be_v three_o in_o the_o first_o space_n return_v and_o one_o in_o the_o second_o so_o bend_v three_o space_n it_o receive_v in_o its_o whole_a return_n nine_o degree_n of_o impulse_n that_o be_v five_o in_o the_o first_o space_n return_v three_o in_o the_o second_o and_o one_o in_o the_o three_o so_o bend_v ten_o space_n it_o receive_v in_o its_o whole_a return_n one_o hundred_o degree_n of_o impulse_n to_o wit_n nineteen_o in_o the_o first_o seventeen_o in_o the_o second_o fifteen_o in_o the_o three_o thirteen_o in_o the_o four_o eleven_o in_o the_o five_o nine_o in_o the_o six_o seven_o in_o the_o seven_o five_o in_o the_o eight_o three_o in_o the_o nine_o and_o one_o in_o the_o ten_o now_o the_o comparative_a velocity_n of_o any_o body_n move_v be_v in_o subduplicate_v proportion_n to_o the_o aggregate_n or_o sum_n of_o the_o power_n by_o which_o it_o be_v move_v therefore_o the_o velocity_n of_o the_o whole_a space_n return_v be_v always_o in_o the_o same_o proportion_n with_o those_o space_n they_o be_v both_o subduplicate_v to_o the_o power_n and_o consequent_o all_o the_o time_n shall_v be_v equal_a next_o for_o the_o velocity_n of_o the_o part_n of_o the_o space_n return_v they_o will_v be_v always_o proportionate_a to_o the_o root_n of_o the_o aggregate_n of_o the_o power_n impress_v in_o every_o of_o these_o space_n for_o in_o the_o last_o instance_n where_o the_o spring_n be_v suppose_v bend_v ten_o space_n the_o velocity_n at_o the_o end_n of_o the_o first_o space_n return_v shall_v be_v as_o the_o root_n of_o 19_o at_o the_o end_n of_o the_o second_o as_o the_o root_n of_o 36._o that_o be_v of_o 19+17_n at_o the_o end_n of_o the_o three_o as_o the_o root_n of_o 51._o that_o be_v of_o 19+17_n +15._o at_o the_o end_n of_o the_o
the_o plate_n e_o e_z from_o be_v draw_v or_o separate_v too_o far_o from_o the_o hole_n d_o in_o work_v it_o to_o and_o fro_o k_o k_o be_v two_o pin_n serve_v both_o to_o force_v down_o and_o keep_v open_a the_o valve_n h_o h._n l_o l_o be_v two_o appendix_n soder_v unto_o the_o top_n of_o the_o pipe_n f_o f_o serve_v both_o for_o a_o handle_n to_o the_o rod_n of_o the_o forcer_n and_o also_o to_o keep_v down_o the_o forcer_n m_o m_o be_v two_o other_o appendix_n or_o button_n fasten_v at_o the_o top_n of_o the_o two_o small_a pillar_n n_o n_n so_o as_o to_o turn_v upon_o the_o same_o and_o serve_v to_o hasp_v or_o button_n down_o the_o end_n ll_o of_o the_o handle_n of_o the_o forcer_n that_o it_o be_v not_o drive_v up_o again_o oh_o be_v the_o basin_n for_o receive_v the_o water_n that_o fall_v from_o the_o jet_n or_o stream_n from_o which_o it_o may_v be_v force_v again_o into_o the_o fountain_n or_o receptacle_n for_o charge_v this_o machine_n the_o basin_n o_o o_o must_v first_o be_v fill_v with_o water_n and_o then_o the_o pump_n must_v be_v work_v to_o and_o fro_o in_o do_v of_o which_o when_o the_o plug_n be_v draw_v upward_o the_o water_n in_o the_o basin_n run_v in_o through_o the_o cross_n through_o which_o the_o rod_n f_o f_o pass_v where_o find_v the_o hole_n dopen_fw-mi it_o fill_v the_o space_n of_o the_o bottom_n of_o the_o pump_n then_o the_o pump_n be_v thus_o fill_v the_o plug_n be_v to_o be_v force_v downward_o whereby_o the_o plate_n e_o e_o be_v close_o apply_v to_o the_o brim_n of_o the_o hole_n d_o hinder_v the_o water_n from_o return_v back_o again_o through_o the_o same_o but_o be_v force_v through_o the_o valve_n h_o h_n into_o the_o fountain_n a_o a._n and_o by_o repeat_v this_o operation_n all_o the_o water_n of_o the_o basin_n o_o o_o be_v easy_o force_v into_o the_o aforesaid_a fountain_n whereby_o all_o the_o air_n that_o be_v therein_o contain_v be_v compress_v more_o or_o less_o according_a as_o more_o or_o less_o water_n be_v force_v in_o and_o keep_v in_o that_o compression_n by_o the_o valve_n h_o h_n which_o hinder_v the_o water_n that_o it_o can_v return_v through_o the_o same_o but_o when_o you_o desire_v to_o have_v it_o return_v you_o force_v down_o the_o plug_n hard_o against_o the_o bottom_n or_o plate_n which_o by_o the_o help_n of_o the_o aforesaid_a pin_n or_o appendix_n k_o k_o force_n and_o keep_v open_a the_o valve_n h_o h_n and_o the_o rod_n f_o be_v keep_v fast_o down_o in_o this_o posture_n by_o the_o aforesaid_a button_n or_o hasp_v m_n m_o upon_o open_v the_o cock_n g_o the_o water_n return_v through_o the_o valve_n h_o h_n so_o keep_v open_a through_o the_o hole_n d_o and_o through_o the_o whole_a length_n of_o the_o pipe_n f._n this_o way_n of_o put_v a_o valve_n into_o the_o plug_n of_o force_v pump_n will_v be_v of_o great_a use_n for_o all_o such_o as_o serve_v for_o supply_a town_n with_o water_n and_o for_o quench_v of_o fire_n as_o prevent_v a_o great_a inconvenience_n to_o which_o the_o common_a pump_n be_v usual_o subject_a from_o the_o air_n which_o be_v apt_a to_o be_v generate_v within_o they_o which_o air_n upon_o work_v the_o say_a pump_n remain_v below_o the_o forcer_n and_o by_o its_o expansion_n when_o the_o plug_n be_v draw_v upward_o hinder_v the_o water_n from_o fill_v the_o whole_a cavity_n beneath_o it_o and_o by_o its_o condensation_n when_o the_o plug_n be_v force_v downward_o lose_v a_o great_a part_n of_o the_o strength_n of_o the_o force_n much_o of_o the_o effect_n of_o the_o say_a machine_n be_v frustrate_v for_o prevent_v of_o which_o inconvenience_n care_n be_v to_o be_v take_v that_o the_o water_n in_o all_o these_o force_a pump_n be_v admit_v by_o the_o top_n thereof_o as_o in_o the_o present_a machine_n whereby_o whatever_o air_n shall_v be_v generate_v below_o the_o plug_n will_v ready_o rise_v into_o the_o hole_n d_o as_o be_v the_o high_a place_n next_o the_o plate_n e_o e_o from_z whence_o when_o by_o the_o draw_v up_o of_o the_o plug_n the_o plate_n be_v lift_v from_o the_o brim_n of_o the_o hole_n d_o the_o air_n will_v ready_o slip_v up_o and_o the_o water_n as_o ready_o descend_v and_o fill_v all_o the_o part_n of_o the_o pump_n below_o the_o plug_n as_o i_o have_v often_o experiment_v in_o this_o present_a machine_n some_o person_n may_v object_v against_o these_o kind_n of_o valve_n assuppose_v the_o pressure_n of_o the_o water_n to_o be_v on_o the_o wrong_a side_n thereof_o but_o it_o be_v easy_a to_o be_v note_v that_o this_o objection_n be_v groundless_a since_o it_o be_v the_o same_o thing_n whether_o the_o plate_n be_v press_v against_o the_o rim_z of_o the_o valve_n or_o the_o rim_z of_o the_o valve_n against_o the_o plate_n in_o common_a valve_n the_o pressure_n of_o the_o water_n force_v the_o plate_n against_o the_o rim_z but_o in_o this_o the_o rim_z against_o the_o plate_n for_o the_o remain_a solid_a rim_z of_o the_o valve_n be_v make_v thrice_o as_o big_a as_o the_o hole_n or_o cavity_n thereof_o the_o pressure_n of_o the_o water_n against_o that_o rim_z force_v the_o say_a rim_z against_o the_o plate_n in_o the_o middle_n three_o time_n hard_a than_o if_o the_o pressure_n of_o the_o water_n lie_v only_o on_o the_o plate_n of_o the_o value_n the_o same_o will_v be_v press_v against_o the_o rim._n to_o this_o discourse_n of_o a_o artificial_a fountain_n i_o think_v it_o not_o improper_a to_o add_v a_o ingenious_a discourse_n of_o m._n james_n young_a of_o plymouth_n contain_v his_o own_o observation_n and_o opinion_n concern_v natural_a fountain_n and_o spring_n sir_n have_v now_o gain_v time_n from_o my_o other_o avocation_n i_o have_v draw_v up_o those_o observation_n i_o tell_v you_o i_o have_v make_v in_o my_o travel_n which_o have_v confirm_v in_o i_o the_o opinion_n of_o my_o lord_n bacon_n that_o fountain_n and_o spring_n be_v the_o percolation_n of_o the_o sea_n not_o as_o yourself_o mr._n ray_n etc._n etc._n do_v assert_v from_o the_o rain_v descent_n into_o the_o earth_n i_o now_o represent_v they_o to_o your_o consideration_n rather_o as_o a_o apology_n because_o they_o seem_v rational_a to_o excuse_v than_o argument_n to_o justify_v and_o avow_v the_o presumption_n of_o my_o dissent_n its_o aperan_n s_n s_o w._n from_o you_o about_o 6_o league_n distant_a the_o say_a pond_n be_v in_o a_o large_a bay_n at_o the_o west_n side_n of_o the_o island_n which_o have_v from_o one_o point_n to_o another_o a_o bank_n of_o sand_n about_o two_o or_o three_o foot_n above_o water_n cover_v the_o bay_n like_o a_o string_n to_o a_o bow_n the_o say_a bank_n in_o the_o flemish_a road_n be_v about_o 150_o foot_n wide_a at_o the_o english_a ride_v it_o be_v as_o broad_a again_o there_o be_v never_o any_o sensible_a ebb_a or_o flow_v of_o the_o sea_n only_o at_o full_a moon_n or_o a_o day_n before_o it_o rise_v in_o high_a billow_n which_o break_v over_o the_o bank_n at_o the_o north_n end_n of_o the_o pond_n where_o it_o be_v low_a by_o which_o mean_v the_o pond_n be_v replenish_v with_o water_n which_o condense_v into_o salt_n in_o two_o day_n the_o sand_n divide_v the_o say_a pond_n and_o the_o sea_n be_v very_o fine_a and_o loose_a now_o because_o the_o beforementioned_a rivulet_n disembogue_n far_o from_o the_o road_n at_o a_o inconvenient_a place_n for_o boat_n they_o be_v constrain_v to_o dig_v well_n in_o the_o midst_n of_o the_o bank_n of_o sand_n between_o the_o pickle_n of_o the_o salt_n pond_n and_o the_o sea_n the_o manner_n thus_o they_o first_o dig_v a_o pit_n about_o eight_o foot_n deep_a and_o therein_o lie_v two_o hogshead_n the_o one_o on_o the_o top_n of_o the_o other_o the_o head_n out_o of_o both_o save_o the_o lowermost_a of_o the_o deep_a the_o side_n of_o both_o be_v also_o full_a of_o gimlet_n hole_n and_o the_o sand_n lay_v close_o to_o they_o after_o twenty_o four_o hour_n they_o have_v three_o or_o four_o foot_n of_o very_o clean_a water_n in_o they_o which_o be_v dip_v out_o you_o plain_o see_v the_o new_a water_n strain_n gentle_o through_o those_o hole_n in_o the_o side_n of_o the_o cask_n after_o which_o in_o a_o day_n time_n one_o man_n attend_v it_o may_v draw_v about_o ten_o hogshead_n or_o more_o of_o water_n a_o little_a taste_n of_o salt_n not_o so_o much_o but_o that_o it_o be_v drinkable_a and_o very_o fit_a to_o boil_v meat_n in_o and_o be_v use_v by_o those_o that_o come_v there_o to_o load_v cattle_n for_o their_o common_a drink_n i_o have_v in_o the_o map_n place_v the_o sign_n o_o where_o our_o well_o be_v make_v the_o next_o observation_n pertinent_a to_o this_o subject_n i_o make_v at_o
the_o root_n some_o quantity_n of_o water_n which_o be_v always_o soak_v and_o glide_v down_o from_o the_o branch_n and_o body_n of_o the_o tree_n the_o leaf_n sprig_n and_o branch_n of_o the_o say_a tree_n collect_v and_o condense_v continual_o the_o moist_a part_n of_o the_o air_n the_o same_o be_v indeed_o a_o true_a and_o lively_a representation_n of_o a_o river_n nor_o have_v it_o be_v my_o observation_n alone_o but_o the_o same_o be_v mention_v by_o divers_a author_n and_o it_o be_v affirm_v by_o some_o author_n that_o there_o be_v some_o island_n in_o the_o torrid_a zone_n which_o have_v no_o other_o water_n in_o they_o than_o what_o be_v condense_v out_o of_o the_o air_n by_o the_o tree_n at_o the_o top_n of_o the_o hill_n and_o convert_v into_o drop_n of_o rain_n six_o that_o it_o be_v general_o observe_v wherever_o there_o be_v high_a hill_n there_o be_v general_o many_o spring_n round_o about_o the_o bottom_n of_o they_o of_o very_o fresh_a and_o clear_a water_n and_o often_o time_n some_o which_o rise_v very_o near_o the_o top_n of_o they_o which_o seem_v to_o proceed_v from_o their_o great_a elevation_n above_o the_o other_o plain_a superficial_a part_n of_o the_o earth_n whereby_o the_o air_n be_v dash_v and_o break_v against_o they_o they_o help_v to_o condense_a the_o vapour_n that_o be_v elevate_v into_o the_o high_a and_o cool_a region_n of_o the_o air_n and_o so_o serve_v like_o filtre_n to_o draw_v down_o those_o vapour_n so_o condense_v and_o convey_v they_o into_o the_o valley_n beneath_o and_o hence_o it_o be_v very_o usual_a in_o country_n where_o there_o be_v high_a hill_n to_o see_v the_o top_n of_o they_o often_o cover_v with_o cloud_n and_o mist_n when_o it_o be_v clear_a and_o dry_a weather_n beneath_o in_o the_o valley_n and_o in_o the_o pass_n through_o those_o cloud_n on_o the_o top_n i_o have_v very_o often_o find_v in_o they_o very_o thick_a mist_n and_o small_a rain_n whereas_o as_o soon_o as_o i_o have_v descend_v from_o 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