Bernoulli, Daniel, Hydrodynamica, sive De viribus et motibus fluidorum commentarii

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          <pb o="11" file="0025" n="25" rhead="SECTIO PRIMA."/>
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            <s xml:id="echoid-s291" xml:space="preserve">§. </s>
            <s xml:id="echoid-s292" xml:space="preserve">17. </s>
            <s xml:id="echoid-s293" xml:space="preserve">Et hæc quidem ſunt, quæ mihi ex admisſis principiis geometri-
              <lb/>
            cam deductionem pati viſa ſunt. </s>
            <s xml:id="echoid-s294" xml:space="preserve">Quoniam vero nihil eſt in Theoria tam
              <lb/>
            rigoroſe demonſtratum, quod non in applicatione ad corpora reſtrictionem
              <lb/>
            aliquam poſtulet, ideo facile apparet, nec ullam Theoriam de fluidis expectan-
              <lb/>
            dam eſſe, quæ omnibus menſuris experientia cognitis plenisſime ſatisfaciat;
              <lb/>
            </s>
            <s xml:id="echoid-s295" xml:space="preserve">cujus rei memores eſſe velim, qui Theoremata noſtra experimentis confirmare
              <lb/>
            voluerint. </s>
            <s xml:id="echoid-s296" xml:space="preserve">Ubique invenient quidem aliquem conſenſum, ſed non perfectum,
              <lb/>
            eumque modo ſtrictiorem, modo laxiorem, pro rerum circumſtantiis. </s>
            <s xml:id="echoid-s297" xml:space="preserve">Quo-
              <lb/>
            ties autem ipſe aliquod experimentum effeci, ante omnia mecum perpendi,
              <lb/>
            quousque principia Theoriæ cum caſu propoſito congruerent; </s>
            <s xml:id="echoid-s298" xml:space="preserve">atque ſic me
              <lb/>
            nunquam aut rarisſime eventus fefellit. </s>
            <s xml:id="echoid-s299" xml:space="preserve">Non ſolum enim prævidere ſolebam,
              <lb/>
            in quam partem futura eſſet differentia, ſi quæ notabilis eſſe debebat, ſed
              <lb/>
            & </s>
            <s xml:id="echoid-s300" xml:space="preserve">quanta; </s>
            <s xml:id="echoid-s301" xml:space="preserve">quod ipſum, ſi recte judico, ſatis manifeſtat, fluida affectare quidem
              <lb/>
            leges, quas ipſis præſcriptas eſſe ponimus, obſtacula autem ubique offendere
              <lb/>
            nunc majora, nunc minora. </s>
            <s xml:id="echoid-s302" xml:space="preserve">Cæterum experimenta inſtitui non pauca, quo-
              <lb/>
            rum ſingula in fine ſectionis, ad quam pertinent, locavi: </s>
            <s xml:id="echoid-s303" xml:space="preserve">præſertim vero ſol-
              <lb/>
            licitus fui, in propoſitionibus antea incognitis & </s>
            <s xml:id="echoid-s304" xml:space="preserve">plerisque ſat paradoxis con-
              <lb/>
            firmandis. </s>
            <s xml:id="echoid-s305" xml:space="preserve">De experimentorum fide non eſt, quod quis dubitet, cum præ-
              <lb/>
            cipua coram Amicis eaque poſt publicatam Theoriam fecerim; </s>
            <s xml:id="echoid-s306" xml:space="preserve">magnam ta-
              <lb/>
            men experimentorum, quæ animo concepi, partem, quando per ſingula ire
              <lb/>
            non licet, aliis relinquens inſtituendam. </s>
            <s xml:id="echoid-s307" xml:space="preserve">Perlectis noſtris propoſitionibus quisque
              <lb/>
            ſibi finget innumera, neque proin opus eſſe judicavi, omnia, qualia ſunt a
              <lb/>
            me deſiderata, exponere; </s>
            <s xml:id="echoid-s308" xml:space="preserve">expoſui tamen aliqua.</s>
            <s xml:id="echoid-s309" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s310" xml:space="preserve">§. </s>
            <s xml:id="echoid-s311" xml:space="preserve">18. </s>
            <s xml:id="echoid-s312" xml:space="preserve">Jam vero tandem principiorum, quorum toties mentionem fe-
              <lb/>
            cimus, ratio reddenda eſt. </s>
            <s xml:id="echoid-s313" xml:space="preserve">Præcipuum eſt conſervatio virium vivarum, ſeu, ut
              <lb/>
            ego loquor, æqualitas inter deſcenſum actualem aſcenſumque potentialem: </s>
            <s xml:id="echoid-s314" xml:space="preserve">Utar hac
              <lb/>
            poſteriore voce, quia idem quod altera ſignificat, ſortem autem apud non-
              <lb/>
            nullos Philoſophos, qui vel ad ſolum vis vivæ nomen moventur, magis be-
              <lb/>
            nignam fortaſſe experietur. </s>
            <s xml:id="echoid-s315" xml:space="preserve">Puto, hic e re noſtra fore, hac de re paulo co-
              <lb/>
            pioſius dicere.</s>
            <s xml:id="echoid-s316" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s317" xml:space="preserve">§. </s>
            <s xml:id="echoid-s318" xml:space="preserve">19. </s>
            <s xml:id="echoid-s319" xml:space="preserve">Poſtquam Galilæus docuiſſet, corpus, ſive verticaliter, ſive ſuper
              <lb/>
            plano utcunque incurvato, deſcendens eandem velocitatem acquirere, modo
              <lb/>
            altitudo lapſus ſit eadem, quod ex natura preſſionum demonſtrari poteſt,
              <lb/>
            Hugenius eadem hac propoſitione, ſed generaliori pro hypotheſi feliciter </s>
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