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

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        <div xml:id="echoid-div148" type="section" level="1" n="117">
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            <emph style="bf">HYDRODYNAMICÆ</emph>
          </head>
          <head xml:id="echoid-head148" xml:space="preserve">SECTIO SEPTIMA.</head>
          <head xml:id="echoid-head149" style="it" xml:space="preserve">De motu aquarum per vaſa ſubmerſa, ubi exem-
            <lb/>
          plis oſtenditur, quam inſigniter utile ſit princi-
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          pium conſervationis virium vivarum, veliis in caſibus, quibus continue
            <lb/>
          aliquid de illis perdi cenſendum eſt.</head>
          <head xml:id="echoid-head150" xml:space="preserve">PARS PRIMA.</head>
          <head xml:id="echoid-head151" style="it" xml:space="preserve">De deſcenſu aquarum.</head>
          <head xml:id="echoid-head152" xml:space="preserve">§. 1.</head>
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            <s xml:id="echoid-s3565" xml:space="preserve">FInge cylindrum aquâ plenum, cujus fundum perforatum ſit, illudque
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            ad certam altitudinem aquæ ſtagnanti veluti infinitæ ſubmerſum, & </s>
            <s xml:id="echoid-s3566" xml:space="preserve">
              <lb/>
            facile intelliges ſuperficiem aquæ in cylindro contentæ deſcenſuram,
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            & </s>
            <s xml:id="echoid-s3567" xml:space="preserve">quidem infra ſuperficiem aquæ exterioris, dein rurſus aſcenſuram
              <lb/>
            & </s>
            <s xml:id="echoid-s3568" xml:space="preserve">ſic porro. </s>
            <s xml:id="echoid-s3569" xml:space="preserve">Hæ vero oſcillationes admodum differunt ab oſcillationibus in præ-
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            cedente ſectione conſideratis, in quibus nempe motus reciproci ſemper ſunt
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            inverſo ordine iidem cum motibus, qui præceſſerunt. </s>
            <s xml:id="echoid-s3570" xml:space="preserve">Quis autem hic præſumat
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            refluxum aquarum ſeu aſcenſum eundem fore, qui fuerat deſcenſus. </s>
            <s xml:id="echoid-s3571" xml:space="preserve">Talia
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            ſi quis ſtatueret, is certe vehementer falleretur, etiamſi vel nihil motus di-
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            minuatur ab adhæſione aquarum ad latera vaſis hujuscemodique aliis impe-
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            dimentis, non ſecus atque regulæ motuum à percuſſione pro corporibus
              <lb/>
            elaſticis valde diverſæ ſunt ab iis, quæ pro corporibus mollibus valent, utut
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            in utroque caſu corpora liberrime moveri cenſeantur. </s>
            <s xml:id="echoid-s3572" xml:space="preserve">Utor hoc ſimili, quod
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            argumentum noſtrum egregie illuſtrat: </s>
            <s xml:id="echoid-s3573" xml:space="preserve">Prouti enim regulæ motuum in cor-
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            poribus mollibus recte determinatur, ſi poſt colliſionem ea vis vivæ
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            pars deperdita cenſeatur quæ in compreſſionem corporum impenſa fuit
              <lb/>
            (neque enim hæc ut in corporibus elaſticis reſtituitur motui progreſſivo) ita
              <lb/>
            aſcenſus fluidi non minus recte definietur, ſi accurate examinetur, quantum vis
              <lb/>
            vivæ ſingulis momentis motui particularum aquearum inteſtino communi-
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            cetur, nunquam rediturum ad motum progreſſivum, de quo ſermo eſt.</s>
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          <p>
            <s xml:id="echoid-s3575" xml:space="preserve">§. </s>
            <s xml:id="echoid-s3576" xml:space="preserve">2. </s>
            <s xml:id="echoid-s3577" xml:space="preserve">Cum itaque res eo deducta ſit, ut exploretur, quantum vis vivæ
              <lb/>
            in motibus iſtis reciprocis continue perdatur, diſquiſitionem ab hoc incipie-
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            mus.</s>
            <s xml:id="echoid-s3578" xml:space="preserve"/>
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