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and_o authority_n to_o convoy_n his_o falsehood_n through_o the_o world_n nor_o shall_v i_o either_o have_v precipitate_v or_o suspend_v my_o address_v for_o find_v so_o crave_v a_o opportunity_n as_o the_o day_n of_o his_o lordship_n birth_n and_o majority_n from_o my_o chamber_n in_o s._n andrews_n the_o 24._o day_n of_o july_n 1672._o the_o great_a and_o new_a art_n of_o weigh_v vanity_n as_o in_o combat_v each_o party_n first_o intend_v his_o own_o defence_n and_o in_o the_o second_o place_n only_o prepare_v a_o assault_n for_o his_o antagonist_n so_o i_o before_o i_o make_v any_o attempt_n on_o my_o adversary_n other_o write_n shall_v endeavour_v to_o wipe_v off_o that_o dirt_n which_o he_o have_v throw_v upon_o i_o in_o the_o postscript_n and_o preface_n to_o his_o hydrostatics_n i_o think_v it_o no_o wonder_n that_o my_o adversary_n have_v suppress_v that_o letter_n of_o i_o which_o he_o mention_v in_o his_o postscript_n and_o i_o have_v print_v in_o my_o preface_n for_o this_o give_v he_o the_o great_a liberty_n to_o belie_v it_o which_o he_o do_v most_o splendid_o when_o he_o say_v that_o it_o be_v full_a of_o barbarous_a rail_n pass_v all_o bound_n of_o civility_n against_o himself_o friend_n and_o work_n whereas_o there_o be_v not_o a_o word_n of_o his_o friend_n in_o it_o and_o what_o be_v therein_o say_v of_o his_o work_n the_o follow_a treatise_n will_v manifest_v if_o it_o deserve_v the_o name_n of_o barbarous_a rail_n nor_o be_v it_o strange_a to_o see_v one_o who_o want_v truth_n on_o his_o side_n make_v lie_v his_o refuge_n but_o he_o may_v henceforth_o look_v for_o the_o common_a infelicity_n of_o liar_n not_o to_o be_v believe_v if_o he_o shall_v chance_v to_o stumble_v upon_o truth_n i_o have_v reason_n to_o fall_v upon_o his_o ars_fw-la magna_fw-la etc._n etc._n because_o i_o judge_v ex_fw-la ungue_fw-la leonem_fw-la or_o rather_o ex_fw-la cauda_fw-la catum_fw-la nor_o shall_v the_o bare_a title_n have_v be_v pass_v by_o because_o it_o be_v 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a_o part_n of_o my_o province_n and_o in_o form_v it_o i_o shall_v make_v use_n of_o no_o weapon_n but_o reason_n hope_v from_o it_o better_a success_n than_o my_o adversary_n have_v have_v &_o the_o rather_o because_o he_o be_v so_o great_a a_o stranger_n to_o it_o the_o first_o shall_v be_v upon_o his_o hydrostaticks_n because_o that_o begin_v the_o debate_n the_o second_o upon_o his_o ars_fw-la nova_fw-la &_o magna_fw-la because_o of_o the_o reproach_n my_o master_n have_v sustain_v for_o their_o just_a censure_n of_o it_o and_o the_o last_o assault_n shall_v be_v upon_o his_o tyrocinia_fw-la which_o indeed_o be_v more_o blameless_a than_o the_o rest_n being_n free_a from_o error_n and_o more_o consonant_a to_o its_o title_n yet_o albeit_o it_o have_v no_o name_n prefix_v it_o can_v not_o but_o sufficient_o discover_v the_o tyro_n and_o the_o great_a and_o new_a artist_n to_o be_v all_o one_o all_o this_o shall_v be_v do_v in_o the_o proper_a language_n of_o each_o book_n that_o every_o work_n &_o its_o examination_n may_v be_v understand_v by_o the_o same_o reader_n and_o so_o i_o begin_v with_o the_o hydrostaticks_n a_o examination_n of_o m._n sinclar_n hydrostaticks_n non_fw-la equidem_fw-la hoc_fw-la fludeo_fw-la bullatis_fw-la ut_fw-la mea_fw-la nugiâ—_n pagina_fw-la turgescat_fw-la dare_v pondus_fw-la idonea_fw-la fumo_fw-la secreti_fw-la loquimur_fw-la pers_n that_o i_o have_v sufficient_a reason_n to_o quarrel_v the_o offer_n of_o thirty_o new_a and_o unheard-of_a hydrostatical_a theorem_n shall_v appear_v from_o the_o examination_n of_o this_o treatise_n whereof_o all_o that_o be_v true_a for_o a_o considerable_a part_n of_o it_o be_v false_a and_o ridiculous_a be_v the_o same_o with_o the_o doctrine_n of_o archimedes_n and_o stevinus_n in_o the_o follow_a proposition_n only_o our_o author_n doctrine_n be_v more_o loose_a
and_o less_o precise_a as_o for_o what_o he_o have_v write_v concern_v the_o bensil_n of_o fluid_n general_o apply_v be_v false_a see_v no_o bensil_n have_v hitherto_o be_v perceive_v in_o any_o fluid_fw-la except_o air._n and_o see_v the_o doctrine_n of_o the_o spring_n of_o the_o air_n be_v call_v by_o most_o of_o author_n and_o particular_o by_o m._n sinclar_n himself_o aërostaticks_n i_o think_v not_o myself_o oblige_v to_o reduce_v it_o to_o the_o write_n of_o archimedes_n and_o stevinus_n who_o write_v only_a hydrostaticks_n proper_o so_o call_v yet_o in_o that_o subject_n also_o where_o he_o speak_v truth_n i_o shall_v in_o its_o due_a place_n trace_v he_o in_o aërostatical_a writer_n extant_a before_o he_o in_o the_o review_n of_o this_o tractat_fw-la i_o shall_v for_o my_o hire_n sake_n begin_v with_o the_o theorem_n and_o afterward_o take_v notice_n of_o a_o few_o thing_n in_o the_o observation_n and_o experiment_n §._o 1._o the_o theorem_n review_v whereof_o a_o great_a part_n be_v prove_v false_a other_o ridiculous_a and_o the_o rest_n not_o new_a i_o shall_v here_o at_o once_o discover_v the_o falsity_n and_o ridiculousness_n of_o a_o considerable_a part_n of_o our_o author_n theorem_n and_o reduce_v the_o rest_n to_o these_o follow_a proposition_n of_o archimedes_n and_o stevinus_n archimedis_n positio_fw-la 1._o ponatur_fw-la humidi_fw-la eam_fw-la esse_fw-la naturam_fw-la ut_fw-la partibus_fw-la ipsius_fw-la aequaliter_fw-la jacentibus_fw-la &_o continuatis_fw-la inter_fw-la sese_fw-la minus_fw-la pressa_fw-la à _fw-la magis_fw-la pressa_fw-la expellatur_fw-la vnaquaeque_fw-la autem_fw-la pars_fw-la ejus_fw-la premitur_fw-la humido_fw-la supra_fw-la ipsam_fw-la existente_fw-la ad_fw-la perpendiculum_fw-la si_fw-la humidum_fw-la sit_fw-la descendens_fw-la in_o aliquo_fw-la aut_fw-la ab_fw-la alio_fw-la aliquo_fw-la pressum_fw-la prop._n 2._o omnis_fw-la humidi_fw-la consistentis_fw-la atque_fw-la manentis_fw-la superficies_n sphaerica_fw-la est_fw-la cujus_fw-la centrum_fw-la est_fw-la idem_fw-la quod_fw-la centrum_fw-la terrae_fw-la prop._n 5._o solidarum_fw-la magnitudinum_fw-la quaecunque_fw-la levior_fw-la humido_fw-la fuerit_fw-la demissa_fw-la in_o humidum_fw-la manens_fw-la usque_fw-la eo_fw-la demergetur_fw-la ut_fw-la tanta_fw-la mole_n humidi_fw-la quanta_fw-la est_fw-la partis_fw-la demersae_fw-la eandem_fw-la quam_fw-la tota_fw-la magnitudo_fw-la gravitatem_fw-la habeat_fw-la prop._n 6._o solidae_fw-la magnitudines_fw-la humido_fw-la leviores_fw-la in_o humidum_fw-la impulsae_fw-la sursum_fw-la feruntur_fw-la tanta_fw-la vi_fw-la quantò_fw-la humidum_fw-la molem_fw-la habens_fw-la magnitudini_fw-la aequalem_fw-la gravius_fw-la est_fw-la ipsâ_fw-la magnitudine_fw-la prop._n 7._o solidae_fw-la magnitudines_fw-la humido_fw-la graviores_fw-la demissae_fw-la in_o humidum_fw-la ferentur_fw-la deorsum_fw-la donec_fw-la descendant_n et_fw-la erunt_fw-la in_o humido_fw-la tantò_fw-la leviores_fw-la quanta_fw-la est_fw-la gravitas_fw-la humidi_fw-la molem_fw-la habentis_fw-la solidae_fw-la magnitudini_fw-la aequalem_fw-la stevini_n postul_n 3._o pondus_fw-la à _fw-la quo_fw-la vas_fw-la minus_fw-la altè_fw-la deprimitur_fw-la levius_fw-la quò_fw-la altiùs_fw-la gravius_fw-la quò_fw-la aeque_fw-la altè_fw-la aequipondium_fw-la esse_fw-la prop._n 5._o corpus_fw-la solidum_fw-la materiae_fw-la levioris_fw-la quam_fw-la aquâ—…_n cui_fw-la innatat_fw-la pondere_fw-la aequale_fw-la est_fw-la tantae_fw-la aquae_fw-la moli_fw-la quanta_fw-la suae_fw-la parti_fw-la demergitur_fw-la prop._n 8._o corpus_fw-la solidum_fw-la in_o aqua_fw-la levius_fw-la est_fw-la quam_fw-la in_o aëre_fw-la pondere_fw-la aquae_fw-la magnitudine_fw-la sibi_fw-la aequalis_fw-la prop._n 10._o aquae_fw-la fundo_fw-la horizonti_fw-la parallelo_fw-la tantum_fw-la insidet_fw-la pondus_fw-la quantum_fw-la est_fw-la aquae_fw-la columnae_fw-la cujus_fw-la basis_n fundo_fw-la altitudo_fw-la perpendiculari_fw-la ab_fw-la aquae_fw-la superficie_fw-la summa_fw-la ad_fw-la imam_fw-la demissae_fw-la aequalis_fw-la sit_fw-la now_o reader_n consider_v well_o these_o proposition_n my_o author_n theorem_n and_o my_o censure_n which_o be_v this_o his_o first_o two_o be_v no_o theorem_n but_o only_a supposition_n and_o the_o three_o a_o sort_n of_o a_o definition_n or_o rather_o aliquid_fw-la gratis_n dictum_fw-la the_o four_o as_o he_o word_v it_o be_v false_a for_o a_o broad_a fluid_fw-la counterpoyse_v more_o than_o a_o narrow_a see_v a_o cylinder_n of_o mercury_n one_o inch_n thick_a and_o twenty-nine_o inch_n high_a counterpoyse_v a_o cylinder_n of_o air_n of_o the_o same_o thickness_n and_o of_o the_o altitude_n of_o the_o atmosphere_n and_o one_o two_o inch_n thick_a with_o the_o former_a height_n counterpoyse_v four_o time_n as_o much_o air._n as_o he_o explicate_v it_o it_o be_v true_a and_o the_o same_o with_o archimedes_n second_o proposition_n for_o the_o demonstration_n hold_v suppose_v you_o divide_v the_o fluid_a by_o several_a pipe_n if_o they_o have_v intercourse_n here_o he_o make_v a_o mystery_n of_o a_o very_a easy_a thing_n for_o one_o pillar_n of_o water_n be_v ten_o time_n thick_a than_o another_o of_o the_o same_o height_n and_o consequent_o a_o hundred_o time_n heavy_a have_v no_o more_o effect_n than_o the_o other_o for_o because_o of_o its_o base_a it_o have_v a_o hundred_o time_n as_o much_o resistance_n and_o it_o be_v most_o clear_a that_o if_o the_o resistance_n be_v proportional_a to_o the_o pressure_n the_o effect_n must_v constant_o be_v the_o same_o his_o five_o be_v a_o part_n of_o archimedes_n first_o position_n his_o six_o also_o for_o archimedes_n expulsion_n hinder_v with_o equal_a resistance_n on_o all_o side_n he_o call_v pressure_n on_o every_o side_n i_o suppose_v he_o will_v hardly_o affirm_v that_o this_o lateral_a pressure_n be_v not_o know_v before_o he_o see_v stevinus_n do_v demonstrat_fw-la how_o much_o it_o be_v upon_o any_o plain_a howsoever_o incline_v in_o his_o prop._n 11._o 12._o 13._o which_o our_o author_n can_v do_v yet_o at_o least_o there_o be_v nothing_o in_o his_o book_n either_o so_o subtle_a or_o useful_a his_o seven_o be_v the_o same_o with_o the_o last_o part_n of_o stevinus_n three_o postulatum_fw-la the_o eight_o be_v manifest_o false_a if_o fluid_n have_v a_o bensil_n as_o he_o suppose_v prop._n 17._o 19_o which_o i_o demonstrat_fw-la from_o his_o own_o figure_n thus_o the_o first_o foot_n e_z have_v one_o degree_n of_o weight_n and_o the_o second_o foot_n i_o have_v equal_a quantity_n or_o dimension_n and_o be_v low_o than_o e_z must_v have_v more_o weight_n according_a to_o his_o 17._o let_v it_o therefore_o have_v 1½_n degree_n of_o weight_n then_o the_o weight_n of_o both_o these_o must_v be_v 2½_n now_o the_o three_o foot_n n_o be_v of_o equal_a quantity_n with_o i_o and_o low_a must_v according_a to_o his_o 17._o have_v more_o gravity_n than_o it_o have_v to_o wit_n 1½_n let_v it_o therefore_o have_v 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