to_o this_o doctrine_n i_o can_v admit_v our_o author_n reason_v that_o because_o a_o man_n body_n be_v bulk_n for_o bulk_n heavy_a than_o water_n therefore_o the_o water_n do_v not_o endeavour_v to_o place_v its_o self_n beneath_o it_o for_o water_n be_v a_o heavy_a body_n derive_v from_o the_o cause_n of_o its_o gravity_n what_o ever_o that_o be_v a_o incessant_a endeavour_n towards_o the_o centre_n of_o the_o earth_n nor_o be_v there_o any_o reason_n why_o it_o be_v happen_v to_o be_v incumbent_a on_o a_o body_n heavy_a in_o specie_fw-la then_o itself_o shall_v destroy_v that_o endeavour_n and_o therefore_o though_o it_o may_v be_v say_v that_o the_o water_n do_v not_o endeavour_v to_o place_v itself_o beneath_o a_o humane_a body_n because_o indeed_o a_o inanimate_a liquor_n can_v proper_o be_v say_v to_o act_v for_o this_o or_o any_o other_o end_n yet_o the_o water_n be_v a_o heavy_a body_n tend_v continual_o towards_o the_o low_a part_n of_o the_o earth_n and_o therefore_o will_v 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according_a to_o their_o own_o doctrine_n the_o water_n even_o in_o the_o sea_n may_v endeavour_v to_o get_v beneath_o a_o body_n heavy_a in_o specie_fw-la then_o itself_o but_o for_o my_o part_n i_o can_v but_o think_v that_o to_o imagine_v the_o water_n know_v whether_o or_o no_o there_o be_v air_n or_o some_o light_a body_n than_o itself_o beneath_o the_o body_n it_o lean_v on_o and_o the_o superior_a part_n do_v according_o exercise_v or_o suspend_v their_o pressure_n upon_o the_o inferior_a be_v to_o forget_v that_o it_o be_v a_o heavy_a liquor_n and_o a_o inanimate_a body_n another_o solution_n there_o be_v of_o this_o hydrostatical_a problem_n we_o have_v be_v discourse_v of_o which_o i_o meet_v with_o in_o a_o print_a letter_n of_o mounseur_fw-fr des_fw-mi cartes_n in_o these_o term_n je_fw-fr ne_fw-fr i_o etc._n etc._n i_o remember_v not_o what_o reason_n it_o be_v that_o stevinus_n give_v 32._o why_o one_o feel_v not_o weight_n of_o water_n when_o one_o be_v under_o it_o 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upon_o which_o monsieur_n cartes_n ingenious_a though_o unsatisfactory_a explication_n be_v build_v and_o yet_o i_o shall_v add_v ex_fw-la abundanti_fw-la that_o suppose_v what_o he_o say_v that_o in_o case_n the_o solid_a b_o shall_v descend_v towards_o a_o the_o incumbent_a water_n will_v not_o descend_v with_o it_o but_o a_o part_n of_o the_o subjacent_a water_n equal_a in_o bulk_n to_o the_o solid_a will_v ascend_v and_o succeed_v in_o its_o room_n yet_o that_o be_v but_o accidental_a by_o reason_n of_o the_o steinchness_n and_o fullness_n of_o the_o vessel_n and_o though_o indeed_o the_o superior_a water_n can_v actual_o descend_v upon_o the_o depression_n of_o the_o solid_a at_o b_o if_z at_o the_o same_o time_n while_o that_o body_n descend_v a_o equal_a bulk_n of_o water_n succeed_v in_o its_o
intervention_n of_o water_n for_o oftentimes_o when_o the_o fire_n have_v not_o be_v well_o regulate_v there_o will_v come_v over_o beside_o the_o float_a oil_n a_o whitish_a water_n which_o will_v not_o in_o a_o long_a time_n become_v clear_a and_o as_o we_o have_v elsewhere_o teach_v that_o whiteness_n to_o proceed_v from_o the_o numerous_a reflection_n from_o the_o oily_a substance_n of_o the_o concrete_a '_o by_o the_o heat_n of_o the_o fire_n break_v into_o innumerable_a little_a globul_n and_o disperse_v through_o the_o body_n of_o the_o water_n so_o the_o reason_n why_o this_o whiteness_n continue_v so_o long_o seem_v to_o be_v chief_o for_o i_o mention_v not_o such_o thing_n as_o the_o great_a surface_n that_o these_o little_a globul_n have_v in_o respect_n of_o their_o bulk_n that_o because_o of_o the_o exceed_a minuteness_n of_o these_o drop_n the_o height_n of_o the_o water_n that_o press_v upon_o the_o upper_a part_n be_v almost_o equal_a to_o that_o of_o the_o water_n that_o press_v against_o the_o low_a part_n so_o that_o the_o difference_n between_o these_o two_o pressure_n be_v inconsiderable_a it_o have_v power_n to_o raise_v the_o drop_n but_o very_o slow_o insomuch_o that_o upon_o this_o ground_n i_o devise_v a_o menstruum_fw-la wherewith_o i_o can_v mingle_v oil_n in_o drop_n so_o exceed_o minute_n that_o even_o when_o there_o be_v but_o a_o few_o spoonful_n of_o the_o mixture_n it_o will_v continue_v whitish_a for_o divers_a whole_a day_n together_o though_o at_o length_n they_o will_v emerge_n and_o the_o soon_o because_o whilst_o they_o swim_v up_o and_o down_o as_o they_o frequent_o chance_v to_o meet_v and_o run_v into_o one_o another_o they_o compose_v great_a drop_n which_o be_v for_o the_o reason_n already_o give_v less_o slow_o impel_v up_o by_o the_o water_n at_o the_o top_n of_o which_o the_o chemist_n after_o a_o due_a time_n be_v wont_a to_o find_v new_a oil_n float_v but_o whether_o this_o be_v any_o way_n applicable_a to_o the_o swim_n of_o the_o insensible_a particle_n of_o corrode_v metal_n in_o aquaflortis_n and_o other_o saline_a menstruum_n i_o must_v not_o now_o stay_v to_o inquire_v one_o thing_n more_o there_o be_v that_o i_o will_v point_v at_o before_o i_o dismiss_v this_o paradox_n namely_o that_o for_o the_o same_o reason_n we_o have_v all_o this_o while_n deduce_v when_o the_o emergent_a drop_n or_o any_o other_o body_n float_v upon_o the_o top_n of_o the_o water_n it_o will_v sink_v just_a so_o far_o &_o no_o far_o till_o the_o immersed_a part_n of_o the_o float_a body_n be_v equal_a in_o bulk_n to_o as_o much_o water_n as_o be_v equal_a in_o weight_n to_o the_o whole_a body_n 5._o for_o suppose_v in_o the_o annex_v figure_n young_a to_o be_v a_o cube_n of_o wood_n three_o foot_n high_a and_o six_o pound_n in_o weight_n this_o wood_n be_v much_o heavy_a than_o air_n will_v sink_v into_o the_o water_n till_o it_o come_v to_o a_o imaginary_a superficies_n x_o w_n where_o have_v the_o position_n new_o describe_v it_o will_v necessary_o acquiesce_v for_o all_o the_o other_o equal_a part_n of_o the_o superficies_n x_o w_n q_n be_v lean_v upon_o by_o pillar_n of_o water_n equal_a in_o height_n to_o the_o part_n x_o a_o or_o w_o b_o if_o the_o whole_a weight_n of_o the_o wooden_a cube_n be_v great_a than_o that_o of_o as_o much_o water_n as_o be_v equal_a to_o the_o immersed_a part_n it_o must_v necessary_o sink_v lower_v because_o the_o subjacent_a part_n of_o the_o surface_n at_o five_o will_v be_v more_o charge_v than_o any_o of_o the_o rest_n and_o on_o the_o other_o side_n if_o the_o cube_n be_v light_a than_o as_o much_o water_n as_o that_o who_o place_n the_o immersed_a part_n take_v up_o it_o must_v by_o the_o great_a pressure_n of_o the_o water_n upon_o the_o other_o part_n of_o the_o imaginary_a superficies_n x_o w_n then_o upon_o that_o contiguous_a to_o the_o wood_n as_o at_o v._o be_v impel_v upward_o till_o the_o pressure_n of_o the_o whole_a wood_n upon_o 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emersion_n and_o subsiding_n it_o rest_v at_o length_n in_o such_o a_o position_n as_o the_o new_o explicate_v hydrostatical_a theorem_n assign_v it_o scholium_fw-la this_o ingenious_a proposition_n about_o float_a body_n be_v teach_v and_o prove_v after_o the_o manner_n of_o mathematician_n by_o the_o most_o subtle_a archimedes_n and_o his_o commentator_n and_o we_o have_v new_o be_v endeavour_v to_o manifest_v the_o physical_a reason_n why_o it_o must_v be_v true_a but_o partly_o because_o the_o proposition_n ought_v to_o hold_v not_o only_o in_o such_o entire_a and_o homogeneous_a body_n as_o man_n exemplify_v it_o in_o such_o as_o a_o piece_n of_o wood_n or_o a_o lump_n of_o wax_n but_o in_o all_o body_n though_o of_o a_o concave_a figure_n and_o make_v up_o of_o many_o body_n of_o never_o so_o differ_v nature_n and_o perhaps_o some_o of_o they_o join_v together_o only_o by_o their_o superincumbency_n upon_o one_o another_o and_o partly_o because_o that_o a_o truth_n which_o be_v one_o of_o the_o main_a and_o useful_a of_o the_o hydrostaticks_n and_o may_v be_v of_o so_o much_o importance_n to_o navigation_n have_v noyet_n that_o i_o know_v of_o be_v attemtpt_v to_o be_v demonstrate_v otherwise_o then_o upon_o paper_n it_o will_v not_o be_v amiss_o for_o the_o satisfaction_n of_o such_o of_o those_o who_o it_o may_v concern_v as_o be_v not_o verse_v in_o mathematical_a demonstration_n to_o add_v a_o experiment_n which_o i_o make_v to_o prove_v it_o mechanical_o as_o exact_o as_o be_v necessary_a for_o the_o satisfaction_n of_o such_o person_n after_o then_o have_v employ_v several_a vessel_n some_o of_o wood_n some_o of_o laton_n and_o some_o of_o other_o material_n to_o compass_v what_o i_o desire_v we_o find_v glass_n to_o be_v the_o most_o commodious_a we_o can_v procure_v and_o therefore_o fill_v a_o large_a and_o deep_a glass_n to_o a_o convenient_a height_n with_o fair_a water_n we_o place_v in_o it_o another_o deep_a glass_n shape_v like_o a_o goblet_n or_o tumbler_n that_o it_o may_v be_v the_o fit_a for_o swim_v and_o have_v furnish_v it_o first_o with_o ballast_n and_o then_o for_o merriment_n sake_n with_o a_o wooden_a deck_n by_o which_o a_o tall_a mass_n with_o a_o sail_n fusten_v to_o it_o be_v keep_v upright_o we_o fraught_v with_o wood_n and_o by_o degree_n pour_v sand_n into_o it_o till_o we_o have_v make_v it_o sâ—â—â—k_v just_a to_o the_o top_n of_o certain_a conspicuous_a mark_n that_o we_o have_v fasten_v on_o the_o outside_n of_o the_o glass_n to_o opposite_a part_n thereof_o then_o observe_v how_o high_a the_o water_n reach_v in_o the_o large_a glass_n which_o by_o reason_n of_o the_o vessel_n transparency_n be_v easy_a to_o be_v see_v we_o careful_o place_v two_o or_o three_o mark_n in_o the_o same_o level_n with_o the_o horizontal_a surface_n of_o the_o water_n and_o take_v out_o the_o float_a vessel_n as_o it_o be_v with_o all_o that_o belong_v to_o it_o and_o wipe_v the_o outside_n dry_a we_o put_v it_o into_o a_o 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water_n abound_v with_o saline_n or_o sulphurous_a corpuscle_n the_o former_a help_v the_o late_a to_o associate_v with_o the_o water_n as_o we_o see_v in_o soap_n consist_v of_o salt_n and_o oil_n and_o in_o chemical_a mixture_n of_o alcalis_fw-la and_o brimstone_n dissoluble_a in_o water_n the_o liquor_n may_v have_v its_o gravity_n so_o augment_v as_o to_o become_v heavy_a in_o specie_fw-la than_o the_o body_n of_o a_o animal_n for_o i_o have_v learn_v of_o a_o light_a swimmer_n that_o he_o can_v hardly_o begin_v to_o dive_v in_o salt_n water_n though_o he_o easy_o can_v in_o fresh_a and_o it_o be_v not_o difficult_a to_o make_v a_o brine_n or_o lixivium_n which_o be_v but_o solution_n of_o salt_n in_o water_n heavy_a enough_o to_o keep_v up_o a_o egg_n from_o sink_v and_o not_o only_o bare_o by_o dissolve_v a_o metalline_a body_n in_o a_o saline_n menstruum_fw-la without_o otherwise_o thickening_a the_o liquor_n i_o have_v bring_v solid_a piece_n of_o amber_n itself_o to_o swim_v 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caro_fw-la sanguis_fw-la humour_n aut_fw-la quodlibet_fw-la denique_fw-la membrum_fw-la luxaretur_fw-la 149._o in_fw-la alium_fw-la locum_fw-la concedat_fw-la necesse_fw-la esset_fw-la fundum_fw-la atqui_fw-la locus_fw-la ille_fw-la non_fw-la est_fw-la extra_fw-la corpus_fw-la urgeat_fw-la cum_fw-la aqua_fw-la undiquaque_fw-la aequali_fw-la pressu_fw-la circumfusa_fw-la sit_fw-la quod_fw-la vero_fw-la pars_fw-la ima_fw-la 23._o per_fw-la 11._o propositionem_fw-la hydrostaticorum_fw-la declaratur_fw-la paulo_fw-la validius_fw-la prematur_fw-la superiori_fw-la id_fw-la hoc_fw-la casu_fw-la nullius_fw-la momenti_fw-la est_fw-la quia_fw-la tantula_n differentia_fw-la partem_fw-la nullam_fw-la sua_fw-la sede_fw-la dimovere_fw-la potest_fw-la neque_fw-la item_n intra_fw-la ipsum_fw-la corpus_fw-la concedit_fw-la cum_fw-la istic_fw-la corpore_fw-la omne_fw-la oppleta_fw-la sint_fw-la unde_fw-la singulae_fw-la part_n singulis_fw-la partibus_fw-la aequaliter_fw-la resistunt_fw-la namque_fw-la aqua_fw-la undiquaque_fw-la eadem_fw-la ratione_fw-la corpus_fw-la totum_fw-la circumstat_fw-la quare_fw-la cum_fw-la locus_fw-la be_v nec_fw-la intra_fw-la nec_fw-la extra_fw-la corpus_fw-la sit_fw-la absurdum_fw-la imo_fw-la impossibile_fw-it fuerit_fw-la partem_fw-la ullam_fw-la svo_fw-la loco_fw-la emoveri_fw-la ideoque_fw-la nec_fw-la corpus_fw-la hic_fw-la afficitur_fw-la dolore_fw-la this_o solution_n of_o stevinus_n i_o esteem_v preferrible_a by_o far_o to_o those_o that_o be_v wont_a to_o be_v give_v of_o this_o difficult_a problem_n but_o yet_o the_o phaenomenon_n seem_v to_o i_o to_o have_v still_o somewhat_o in_o it_o of_o strange_a it_o be_v true_a that_o if_o the_o question_n be_v only_o that_o which_o some_o put_v viz._n why_o the_o body_n of_o a_o diver_n when_o it_o be_v near_o the_o bottom_n of_o the_o sea_n be_v not_o press_v down_o by_o so_o vast_a a_o weight_n of_o water_n as_o be_v incumbent_n on_o it_o it_o may_v be_v rational_o answer_v that_o the_o weight_n 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