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

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        <div xml:id="echoid-div165" type="section" level="1" n="132">
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            <s xml:id="echoid-s4210" xml:space="preserve">
              <pb o="146" file="0160" n="160" rhead="HYDRODYNAMICÆ"/>
            terminari poſſe, cum figura vaſis ubique ampliſſimi motum hunc mutare non
              <lb/>
            poteſt. </s>
            <s xml:id="echoid-s4211" xml:space="preserve">Interim difficile futurum non fuiſſet, conſideratione quoque habita ad
              <lb/>
            amplitudines vaſis, fluxum definire, & </s>
            <s xml:id="echoid-s4212" xml:space="preserve">ſolo brevitatis ſtudio id vitavimus pa-
              <lb/>
            riterque omittemus in ſequentibus, niſi fortaſſe motus notabiliter à figura vaſis
              <lb/>
            varia mutetur, quod fieri poteſt in tubis ſatis amplis, ſed iis longiſſimis, in
              <lb/>
            quibus fluidum movetur, præſertim ſi motus determinandi ſint oſcillatorii.
              <lb/>
            </s>
            <s xml:id="echoid-s4213" xml:space="preserve">lmo vidimus in præcedente Sectione, ſi oſcillationes ſint valde parvæ in tubis
              <lb/>
            profundiſſime ſubmerſis, tunc tantum abeſſe, ut ad ſolum foramen fundi ſit
              <lb/>
            attendendum, neglectis amplitudinibus etiamſi ſatis magnis, quin potius ad
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            has ſolas fere ſit reſpiciendum.</s>
            <s xml:id="echoid-s4214" xml:space="preserve"/>
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        <div xml:id="echoid-div166" type="section" level="1" n="133">
          <head xml:id="echoid-head174" xml:space="preserve">Scholium 2.</head>
          <p>
            <s xml:id="echoid-s4215" xml:space="preserve">§. </s>
            <s xml:id="echoid-s4216" xml:space="preserve">6. </s>
            <s xml:id="echoid-s4217" xml:space="preserve">Quia in calculo, quem poſuimus, vis viva cujuſvis guttulæ per
              <lb/>
            G transfluentis ab aqua cavitatis inferioris abſorberi debet, perſpicuum eſt,
              <lb/>
            propoſitionem non eſſe extendendam ad illos caſus, qui hypotheſi repugnent,
              <lb/>
            veluti cum diaphragma E F fundo C R proximum eſt ſimulque foramina ſibi
              <lb/>
            directe reſpondent: </s>
            <s xml:id="echoid-s4218" xml:space="preserve">ita enim non arduum eſt providere, motum longe diver-
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            ſum fore ab eo, quem præſens theoria indicat. </s>
            <s xml:id="echoid-s4219" xml:space="preserve">At vero, ſi diſtantia D G ma-
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            gna ſit, ſique ſimul foraminum ſitus ſit obliquus & </s>
            <s xml:id="echoid-s4220" xml:space="preserve">latera foraminum venis
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            aqueis negent contractionem; </s>
            <s xml:id="echoid-s4221" xml:space="preserve">dubium nullum eſt, quin theoria accurate om-
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            @@bus phænomenis reſpondeat.</s>
            <s xml:id="echoid-s4222" xml:space="preserve"/>
          </p>
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        <div xml:id="echoid-div167" type="section" level="1" n="134">
          <head xml:id="echoid-head175" xml:space="preserve">Corollarium.</head>
          <p>
            <s xml:id="echoid-s4223" xml:space="preserve">§. </s>
            <s xml:id="echoid-s4224" xml:space="preserve">7. </s>
            <s xml:id="echoid-s4225" xml:space="preserve">Si foramen G eſt admodum amplum præ altero, fit fere v = x,
              <lb/>
            ſed hæc altitudo v, cui nimirum reſpondet velocitas aquæ per D effluentis,
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            non parum decreſcit, creſcente foramine D, ita ut ſi fuerit v. </s>
            <s xml:id="echoid-s4226" xml:space="preserve">gr. </s>
            <s xml:id="echoid-s4227" xml:space="preserve">duplum fo-
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            raminis G, ſit v = {1/5}x & </s>
            <s xml:id="echoid-s4228" xml:space="preserve">tantum non tota evaneſcat, cum foramen G eſt
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            valde exiguum reſpectu foraminis D.</s>
            <s xml:id="echoid-s4229" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s4230" xml:space="preserve">His ita inventis, jam quivis veram perſpiciet rationem motuum illo-
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            rum, quos Mariottus primus obſervavit, & </s>
            <s xml:id="echoid-s4231" xml:space="preserve">quibus ceu valde admirabilibus te-
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            ſtatur ſe ſupra modum fuiſſe delectatum, ſimulque intelliget, quam longe
              <lb/>
            Auctor iſte in reliquis perſpicaciſſimus à viâ aberraverit in hiſce diſquiſitioni-
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            bus. </s>
            <s xml:id="echoid-s4232" xml:space="preserve">Non abs re fore puto obſervata Mariotti hic apponere.</s>
            <s xml:id="echoid-s4233" xml:space="preserve"/>
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          <p>
            <s xml:id="echoid-s4234" xml:space="preserve">§. </s>
            <s xml:id="echoid-s4235" xml:space="preserve">8. </s>
            <s xml:id="echoid-s4236" xml:space="preserve">Vas adhibuit, quale repræſentat Figura trigeſima octava, quæ
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              <note position="left" xlink:label="note-0160-01" xlink:href="note-0160-01a" xml:space="preserve">Fig. 38.</note>
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