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

Table of figures

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            <emph style="bf">HYDRODYNAMICÆ</emph>
          </head>
          <head xml:id="echoid-head281" xml:space="preserve">SECTIO DECIMA TERTIA.</head>
          <head xml:id="echoid-head282" style="it" xml:space="preserve">De reactione fluidorum ex vaſis efflluentium eo-
            <lb/>
          rundemque, poſtquam effluxerunt, impetu in
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          plana quibus occurrunt.</head>
          <head xml:id="echoid-head283" xml:space="preserve">§. 1.</head>
          <p>
            <s xml:id="echoid-s8218" xml:space="preserve">AQuæ dum ex vaſe ejiciuntur ſimili agunt modo in vas, ex quo effluunt,
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            quo globus in tormentum bellicum aut ſclopetum, ex quo explodi-
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            tur: </s>
            <s xml:id="echoid-s8219" xml:space="preserve">vas nempe retropellunt: </s>
            <s xml:id="echoid-s8220" xml:space="preserve">& </s>
            <s xml:id="echoid-s8221" xml:space="preserve">id quidem jam annotavit Newtonus
              <lb/>
            in princ. </s>
            <s xml:id="echoid-s8222" xml:space="preserve">Math. </s>
            <s xml:id="echoid-s8223" xml:space="preserve">phil. </s>
            <s xml:id="echoid-s8224" xml:space="preserve">nat. </s>
            <s xml:id="echoid-s8225" xml:space="preserve">edit. </s>
            <s xml:id="echoid-s8226" xml:space="preserve">prim. </s>
            <s xml:id="echoid-s8227" xml:space="preserve">p. </s>
            <s xml:id="echoid-s8228" xml:space="preserve">332. </s>
            <s xml:id="echoid-s8229" xml:space="preserve">recteque inde deducit aſ-
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            cenſum pilarum, quæ pulvere pyrio, carbone temperato implentur; </s>
            <s xml:id="echoid-s8230" xml:space="preserve">materia
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            enim inflammata, dum per foramen paullatim expirat, pilas in altum projicit.</s>
            <s xml:id="echoid-s8231" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s8232" xml:space="preserve">Sed nec ſatis generaliter pro rei momento argumentum pertractavit ci-
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            tatus auctor (cum id ex ipſius inſtituto non erat) nec veram rei menſuram de-
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            dit. </s>
            <s xml:id="echoid-s8233" xml:space="preserve">Imo in duabus editionibus poſterioribus id prorſus ſilentio præteriit: </s>
            <s xml:id="echoid-s8234" xml:space="preserve">pu-
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            tavit autem vim illam repulſionis eſſe æqualem ponderi cylindri aquei, cujusbaſis
              <lb/>
            ſit orificium aquas tranſmittens & </s>
            <s xml:id="echoid-s8235" xml:space="preserve">cujus altitudo ſit æqualis altitudini ſuperfi-
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            ciei aqueæ ſupra foramen. </s>
            <s xml:id="echoid-s8236" xml:space="preserve">Recte quidem hæc menſura deducitur ex opinio-
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            ne, quam tunc temporis fovebat Newtonus, circa velocitatem aquæ ex vaſe
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            effluentis, dum ſtatueret aquam ad dimidiam ſuperficiei altitudinem ſua velo-
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            citate aſcendere poſſe.</s>
            <s xml:id="echoid-s8237" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s8238" xml:space="preserve">Prouti autem hujus propoſitionis falſitas nemini amplius nunc ignota
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            eſt, ita & </s>
            <s xml:id="echoid-s8239" xml:space="preserve">alterius defectum inde quivis facile colliget, quamvis prima fronte
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            ſatis veriſimilis.</s>
            <s xml:id="echoid-s8240" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s8241" xml:space="preserve">§. </s>
            <s xml:id="echoid-s8242" xml:space="preserve">2. </s>
            <s xml:id="echoid-s8243" xml:space="preserve">Conſiderabimus primo rem in caſu ſimpliciſſimo, quo nempe
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            aquas ex vaſe infinitæ amplitudinis horizontaliter effluere ponemus. </s>
            <s xml:id="echoid-s8244" xml:space="preserve">Habeo
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            autem demonſtratum repulſionis vim non ſtatim à fluxus initio totam adeſſe,
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            niſi quatenus & </s>
            <s xml:id="echoid-s8245" xml:space="preserve">ipſa velocitas in aquis effluentibus tota adſit, ita ut ſi vas </s>
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