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spring_n according_a to_o the_o modern_a hypothesis_n though_o all_o here_o concur_v do_v notwithstanding_o fail_v of_o produce_v that_o effect_n from_o the_o same_o it_o be_v also_o manifest_a that_o where_o spring_n fail_v without_o want_n of_o the_o cause_n that_o hypothesis_n suppose_v necessary_a to_o produce_v they_o the_o occasion_n have_v be_v from_o a_o apparent_a defect_n in_o the_o other_o that_o be_v the_o imperviousness_n of_o the_o earth_n through_o which_o the_o water_n must_v pass_v before_o a_o spring_n can_v be_v produce_v both_o these_o appear_v at_o lipary_n where_o the_o general_a effect_n a_o spring_n or_o fountain_n be_v want_v together_o with_o the_o cause_n of_o our_o hypothesis_n though_o those_o of_o the_o other_o be_v manifest_o existent_a and_o with_o all_o the_o advantage_n necessary_a it_o seem_v to_o i_o a_o very_a rational_a conjecture_n that_o the_o greasy_a clammy_a sulphur_n wherewith_o that_o earth_n be_v impregnate_v do_v by_o oppilate_v it_o 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refute_v the_o other_o opinion_n the_o former_a appear_v by_o the_o water_n in_o those_o make_v pond_n lie_v there_o for_o a_o long_a time_n without_o any_o sensible_a loss_n thereof_o by_o its_o leak_a into_o the_o earth_n the_o late_a by_o the_o well_n near_o the_o sea_n and_o those_o find_v since_o under_o that_o impervious_a land_n he_o that_o be_v not_o altogether_o a_o stranger_n to_o the_o weight_n pressure_n and_o elasticity_n of_o the_o air_n the_o ascension_n of_o liquor_n through_o filter_n and_o some_o other_o resemble_v phaenomena_n will_v not_o account_v the_o like_a motion_n of_o the_o transcolated_a water_n to_o high_a hill_n to_o be_v a_o objection_n of_o any_o force_n against_o this_o hypothesis_n but_o sure_o such_o solution_n be_v no_o less_o beyond_o my_o ability_n than_o design_n find_v i_o have_v paper_n enough_o leave_v i_o will_v presume_v to_o trouble_v you_o with_o one_o rare_a appearance_n more_o that_o occur_v to_o one_o mr._n brasey_n of_o this_o town_n and_o age_a and_o very_a fat_a man_n who_o by_o take_v spirit_n of_o vitriol_n in_o his_o morning_n draught_n to_o which_o he_o be_v advise_v as_o a_o remedy_n to_o assuage_v the_o exuberance_n of_o his_o belly_n find_v that_o it_o have_v no_o effect_n on_o his_o body_n but_o that_o a_o bundle_n of_o key_n which_o he_o use_v to_o carry_v always_o about_o he_o and_o that_o wont_a to_o be_v very_o smooth_a and_o bright_a of_o a_o sudden_a become_v black_a and_o rusty_a though_o he_o never_o handle_v the_o spirit_n nor_o carry_v it_o in_o his_o pocket_n so_o that_o we_o concur_v in_o opinion_n that_o the_o sudorous_a effluvia_fw-la of_o his_o body_n impregnate_v with_o the_o acid_n spirit_n have_v occasion_v it_o if_o so_o it_o be_v very_o wonderful_a that_o so_o small_a a_o quantity_n thereof_o when_o dilute_v with_o so_o much_o juice_n as_o be_v contain_v in_o such_o a_o corpulent_a man_n shall_v even_o insteam_v and_o the_o insensible_a emanation_n make_v impression_n on_o smooth_a iron_n maugre_o the_o perpetual_a attrition_n by_o carry_v they_o in_o his_o pocket_n whereby_o such_o a_o effect_n one_o will_v think_v shall_v be_v prevent_v or_o soon_o rub_v of_o i_o be_v go_v to_o make_v some_o reflection_n on_o this_o notable_a accident_n but_o i_o consider_v etc._n etc._n plymouth_n may_v 5._o 1678._o james_n young_a the_o original_a of_o spring_n be_v that_o which_o have_v exercise_v the_o pen_n of_o many_o learned_a writer_n and_o very_o various_a have_v be_v the_o conjecture_n concern_v it_o but_o among_o all_o i_o have_v meet_v with_o i_o conceive_v none_o more_o probable_a than_o that_o which_o seem_v to_o fetch_v its_o original_n from_o the_o history_n of_o the_o creation_n mention_v in_o holy_a writ_n that_o be_v that_o there_o be_v a_o magazine_n of_o water_n above_o as_o well_o as_o a_o receptacle_n of_o water_n upon_o or_o beneath_o the_o surface_n of_o the_o earth_n and_o that_o the_o air_n be_v that_o firmament_n which_o separate_v between_o the_o upper_a and_o low_a water_n and_o between_o these_o two_o be_v the_o circulation_n of_o water_n or_o blood_n of_o the_o microcosm_n if_o i_o may_v so_o call_v it_o perform_v the_o water_n be_v sometime_o by_o a_o particular_a constitution_n of_o the_o air_n assist_v by_o heat_n rarify_v and_o separate_v into_o minute_a part_n and_o so_o reduce_v into_o the_o form_n of_o air_n and_o thereby_o be_v divide_v into_o particle_n real_o small_a than_o those_o of_o the_o air_n in_o compass_v and_o agitate_a with_o a_o great_a degree_n of_o motion_n they_o take_v up_o more_o space_n and_o so_o become_v light_a than_o the_o ambient_fw-la and_o be_v thereby_o elevate_v and_o protrude_v upward_o till_o they_o come_v to_o their_o place_n of_o poise_n or_o equilibrium_n in_o the_o air_n at_o other_o time_n by_o a_o differ_a constitution_n of_o the_o air_n and_o deficiency_n of_o heat_n they_o lose_v their_o agitation_n and_o many_o of_o they_o again_o coalesce_v and_o so_o have_v less_o motion_n they_o condense_a and_o revert_v into_o water_n and_o so_o be_v heavy_a than_o the_o encompass_v air_n descend_v down_o again_o to_o the_o earth_n in_o mist_n rain_n snow_n hail_o or_o the_o like_a that_o there_o be_v such_o a_o circulation_n i_o think_v there_o be_v none_o doubt_n but_o still_o it_o remain_v a_o difficulty_n with_o those_o person_n that_o grant_v this_o that_o all_o river_n and_o spring_n shall_v have_v their_o original_n from_o the_o water_n that_o fall_v or_o condence_n out_o of_o the_o air._n to_o persuade_v such_o person_n it_o may_v not_o possible_o be_v unsuccessful_a to_o mention_v first_o that_o the_o great_a inundation_n or_o overflow_a of_o river_n manifest_o proceed_v either_o from_o the_o rain_n that_o immediate_o fall_v or_o from_o the_o melt_a of_o snow_n or_o ice_n that_o have_v former_o fall_v on_o the_o more_o eminent_a part_n of_o mountain_n to_o confirm_v which_o history_n enough_o may_v be_v bring_v be_v it_o necessary_a of_o nilus_n niger_n etc._n 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 hill_n shall_v proceed_v from_o the_o sea-water_n strain_v through_o the_o earth_n but_o be_v there_o such_o a_o filtration_n know_v i_o hint_v in_o my_o attempt_n publish_v anno_fw-la 1660_o about_o filtration_n how_o somewhat_o of_o that_o kind_n may_v be_v explain_v four_o that_o this_o operation_n be_v constant_o and_o most_o certain_o perform_v by_o nature_n both_o in_o exhaling_a and_o draw_v up_o fresh_a steam_n and_o vapour_n from_o the_o sea_n and_o all_o moist_a body_n and_o in_o precipitate_v they_o down_o again_o in_o rain_n snow_n hail_o but_o of_o the_o other_o we_o have_v no_o certainty_n five_o i_o have_v observe_v in_o several_a place_n where_o a_o tree_n have_v stand_v upon_o a_o high_a hill_n single_o and_o particular_o at_o the_o brow_n of_o box_n hill_n near_o dark_v in_o surry_n that_o the_o body_n of_o the_o tree_n be_v continual_o wet_a and_o 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 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and_o compare_v they_o with_o this_o theory_n will_v find_v many_o argument_n to_o confirm_v it_o however_o nullius_fw-la in_o verba_fw-la let_v truth_n only_o prevail_v and_o theory_n signify_v no_o further_o than_o right_a reason_n from_o accurate_a observation_n and_o experiment_n do_v confirm_v and_o agree_v with_o they_o have_v thus_o deliver_v here_o somewhat_o of_o my_o own_o thought_n concern_v spring_n and_o river_n find_v among_o some_o of_o my_o paper_n a_o relation_n wherein_o a_o very_a strange_a subterraneous_a cistern_n be_v mention_v i_o have_v here_o subjoin_v it_o as_o i_o receive_v it_o from_o mr._n thomas_n alcock_n from_o bristol_n who_o together_o with_o sir_n humphrey_n hooke_n be_v by_o whilst_o captain_n samuel_n sturmy_n make_v this_o inquiry_n and_o who_o by_o interrogatory_n make_v to_o he_o pen_v this_o relation_n for_o he_o as_o it_o follow_v verbatim_o in_o pursuance_n of_o his_o majesty_n command_n to_o i_o at_o the_o present_n of_o my_o mariner_n 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the_o way_n we_o go_v to_o discover_v what_o we_o can_v find_v remarkable_a at_o length_n we_o come_v to_o a_o river_n or_o great_a water_n which_o i_o find_v to_o be_v twenty_o fathom_n broad_a and_o eight_o fathom_n deep_a the_o mine-man_n will_v have_v persuade_v i_o that_o this_o river_n ebb_v and_o flow_v for_o that_o some_o ten_o fathom_n above_o the_o place_n we_o now_o be_v in_o we_o find_v the_o water_n have_v sometime_o be_v but_o i_o prove_v the_o contrary_a by_o stay_v there_o from_o three_o hour_n flood_n to_o two_o hour_n ebb_n in_o which_o time_n we_o find_v no_o alteration_n of_o this_o river_n beside_o its_o water_n be_v fresh_a sweet_a and_o cool_v and_o the_o surface_n of_o this_o water_n as_o it_o be_v now_o at_o eight_o fathom_n deep_a lie_v low_a than_o the_o bottom_n of_o any_o part_n of_o the_o severn_n sea_n near_o we_o so_o that_o it_o can_v have_v no_o community_n with_o it_o and_o consequent_o neither_o flux_n nor_o reflux_n but_o in_o winter_n and_o 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the_o face_n of_o the_o water_n and_o for_o this_o i_o can_v produce_v very_o many_o history_n and_o argument_n that_o will_v make_v it_o seem_v very_o probable_a but_o that_o i_o reserve_v they_o in_o the_o lecture_n which_o i_o read_v of_o this_o subject_n in_o gresham_n college_n in_o the_o year_n 1664_o and_o 1665_o which_o when_o i_o can_v have_v time_n to_o peruse_v i_o may_v publish_v therein_o i_o make_v it_o probable_a that_o most_o island_n have_v be_v throw_v up_o by_o some_o subterraneous_a eruption_n such_o be_v the_o island_n of_o ascension_n the_o moluccus_n etc._n etc._n second_o that_o most_o part_n of_o the_o surface_n of_o the_o earth_n have_v be_v since_o the_o creation_n change_v in_o its_o position_n and_o height_n in_o respect_n of_o the_o sea_n to_o wit_n many_o part_n which_o be_v now_o dry_a land_n and_o lie_v above_o the_o sea_n have_v be_v in_o former_a age_n cover_v with_o it_o and_o that_o many_o part_n which_o be_v now_o cover_v with_o the_o sea_n be_v 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the_o earth_n be_v change_v and_o grow_v near_o the_o polar_a star_n than_o former_o that_o the_o magnetism_n or_o magnetical_a pole_n be_v vary_v and_o do_v daily_o move_v from_o the_o place_n where_o they_o late_o be_v and_o that_o there_o be_v other_o great_a and_o note_a change_n effect_v in_o the_o earth_n we_o may_v be_v allow_v to_o conceive_v that_o the_o central_n point_n of_o the_o attractive_a or_o gravitating_a power_n of_o the_o earth_n have_v in_o long_a process_n of_o time_n be_v change_v and_o remove_v also_o far_o from_o we_o towards_o our_o antipode_n whence_o will_v follow_v a_o recess_n of_o the_o water_n from_o these_o part_n of_o the_o world_n to_o those_o and_o a_o appearance_n of_o many_o part_n above_o the_o surface_n of_o the_o water_n in_o the_o form_n of_o island_n and_o of_o other_o place_n former_o above_o the_o sea_n now_o in_o the_o form_n of_o mountain_n so_o to_o continue_v till_o by_o the_o libration_n or_o other-way_n return_v motion_n thereof_o it_o 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air_n be_v very_o remarkable_a which_o make_v a_o island_n which_o lie_v eight_o league_n off_o to_o look_v as_o if_o it_o be_v close_o by_o to_o this_o purpose_n i_o have_v often_o take_v notice_n of_o the_o great_a difference_n there_o be_v between_o the_o air_n very_o near_o the_o low_a surface_n of_o the_o earth_n and_o that_o which_o be_v at_o a_o good_a distance_n from_o it_o that_o which_o be_v very_o near_o the_o earth_n be_v general_o so_o thick_a and_o opacous_a that_o body_n can_v at_o any_o considerable_a distance_n be_v see_v distinct_o through_o it_o but_o the_o far_o the_o eye_n and_o object_n be_v elevate_v above_o this_o thick_a air_n the_o more_o clear_a do_v the_o object_n appear_v and_o i_o have_v divers_a time_n take_v notice_n that_o the_o same_o object_n see_v from_o the_o top_n and_o bottom_n of_o a_o high_a tower_n have_v appear_v twice_o as_o far_o off_o when_o see_v at_o the_o bottom_n as_o when_o see_v at_o the_o top_n for_o the_o eye_n do_v very_o much_o 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the_o experimenter_n that_o he_o provide_v himself_o with_o instrument_n by_o which_o to_o stretch_v and_o pull_v in_o piece_n any_o substance_n whilst_o the_o same_o be_v yet_o in_o view_n of_o the_o microscope_n of_o which_o there_o may_v be_v many_o which_o any_o one_o will_v easy_o contrive_v when_o he_o have_v this_o hint_n give_v he_o of_o the_o usefulness_n thereof_o in_o the_o examination_n of_o the_o texture_n of_o several_a substance_n as_o of_o tendon_n nerve_n muscle_n etc._n etc._n those_o i_o have_v make_v use_n of_o be_v make_v to_o open_v like_o a_o pair_n of_o tobacco_n tongue_n by_o two_o angular_a plate_n of_o thin_a brass_n rivet_v together_o which_o by_o pinch_v the_o opposite_a end_n will_v either_o open_a or_o shut_v at_o the_o other_o as_o i_o have_v occasion_n these_o have_v a_o part_n extend_v between_o the_o two_o top_n be_v fix_v at_o a_o due_a distance_n from_o the_o object-glass_n that_o the_o body_n extend_v between_o they_o may_v be_v distinct_o see_v 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minute_n of_o time_n their_o motion_n be_v of_o such_o a_o velocity_n impress_v from_o the_o ambient_fw-la on_o the_o two_o extreme_a particle_n 1_o and_o 8._o first_o if_o by_o any_o external_a power_n on_o the_o two_o extreme_n 1_o and_o 8_o they_o be_v remove_v further_o asunder_o as_o to_o cd_o then_o shall_v all_o the_o vibrative_a particle_n be_v proportionable_o extend_v and_o the_o number_n of_o vibration_n and_o consequent_o of_o occursion_n be_v reciprocal_o diminish_v and_o consequent_o their_o endeavour_n of_o recede_v from_o each_o other_o be_v reciprocal_o diminish_v also_o for_o suppose_v this_o second_o dimension_n of_o length_n be_v to_o the_o first_o as_o 3_o to_o 2_o the_o length_n of_o the_o vibration_n and_o consequent_o of_o occursion_n be_v reciprocal_o diminish_v for_o whereas_o i_o suppose_v 1000000_o in_o a_o second_o of_o the_o former_a here_o can_v be_v but_o 666666_o in_o this_o and_o consequent_o the_o spring_n inward_a must_v be_v in_o proportion_n to_o the_o extension_n beyond_o its_o natural_a length_n second_o if_o by_o any_o external_a force_n the_o extreme_a particle_n be_v remove_v a_o three_o part_n near_o together_o than_o the_o external_a natural_a force_n be_v always_o the_o same_o both_o in_o this_o and_o the_o former_a instance_n which_o be_v the_o balance_n to_o it_o in_o its_o natural_a state_n the_o length_n of_o the_o vibration_n shall_v be_v proportionable_o diminish_v and_o the_o number_n of_o they_o and_o consequent_o of_o the_o occursion_n be_v reciprocal_o augment_v and_o instead_o of_o 1000000_o there_o shall_v be_v 1500000._o in_o the_o next_o place_n for_o fluid_fw-la body_n among_o which_o the_o great_a instance_n we_o have_v be_v air_n though_o the_o same_o be_v in_o some_o proportion_n in_o all_o other_o fluid_a body_n the_o air_n than_o be_v a_o body_n consist_v of_o particle_n so_o small_a as_o to_o be_v almost_o equal_a to_o the_o particle_n of_o the_o heterogeneous_a fluid_a medium_n encompass_v the_o earth_n it_o be_v bound_v but_o on_o one_o side_n namely_o towards_o the_o earth_n and_o be_v indefinite_o extend_v upward_o be_v only_o hinder_v from_o fly_v away_o that_o way_n by_o its_o own_o gravity_n the_o cause_n of_o which_o i_o shall_v some_o other_o time_n explain_v it_o consist_v of_o the_o same_o particle_n single_a and_o separate_v of_o which_o water_n and_o other_o fluid_n do_v conjoin_v and_o compound_v and_o be_v make_v of_o particle_n exceed_v small_a its_o motion_n to_o make_v its_o balance_n with_o the_o rest_n of_o the_o earthy_a body_n be_v exceed_v swift_a and_o its_o vibrative_a space_n exceed_v large_a comparative_a to_o the_o vibrative_a space_n of_o other_o terrestrial_a body_n i_o suppose_v that_o of_o the_o air_n next_o the_o earth_n in_o its_o natural_a state_n may_v be_v 8000_o time_n great_a than_o that_o of_o steel_n and_o above_o a_o thousand_o time_n great_a than_o that_o of_o common_a water_n and_o proportionable_o i_o suppose_v that_o its_o motion_n 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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 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long_o it_o may_v contain_v two_o whole_a minute_n of_o such_o a_o circle_n between_o f_z and_o f_o and_o one_o between_o 4_o and_o 4_o and_o consequent_o the_o say_a glass_n may_v be_v set_v horizontal_n to_o the_o certainty_n of_o a_o second_o which_o be_v hardly_o to_o be_v ascertain_v any_o other_o way_n but_o there_o remain_v yet_o one_o great_a difficulty_n how_o to_o be_v able_a to_o make_v such_o a_o curviture_fw-fr for_o though_o the_o thing_n be_v true_a in_o theory_n yet_o be_v it_o not_o without_o some_o trouble_n put_v in_o practice_n very_o few_o glass_n cane_n be_v so_o convenient_o bend_v as_o be_v desirable_a and_o it_o be_v as_o difficult_a to_o find_v they_o true_a straight_o to_o prevent_v this_o if_o glass_n cane_n be_v use_v there_o must_v be_v much_o care_n take_v and_o many_o trial_n make_v for_o the_o find_v what_o piece_n and_o what_o side_n of_o those_o piece_n will_v be_v most_o fit_a for_o this_o purpose_n for_o our_o glass-house_n workman_n know_v not_o 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