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

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              <pb o="99" file="0113" n="113" rhead="SECTIO QUINTA."/>
            amplitudo indicata per n minor ſit amplitudine orificii R S expreſſa per m,
              <lb/>
            habet v valorem quem nunquam attingit quidem, ſed tamen proxime aſſe-
              <lb/>
            quitur, & </s>
            <s xml:id="echoid-s2785" xml:space="preserve">ad quem tam cito convergit, niſi data opera vaſa huic rei contra-
              <lb/>
            ria excogitata adhibeantur, ut poſt minimum fluxus tempuſculum, quod
              <lb/>
            ſenſibus percipi poſſit, notabiliter ab eo non deficiat. </s>
            <s xml:id="echoid-s2786" xml:space="preserve">Eſt autem terminus il-
              <lb/>
            le talis, v = {mma/mm - nn}: </s>
            <s xml:id="echoid-s2787" xml:space="preserve">igitur in caſu Scholii ſecundi §. </s>
            <s xml:id="echoid-s2788" xml:space="preserve">5. </s>
            <s xml:id="echoid-s2789" xml:space="preserve">ultimus ter-
              <lb/>
            minus P B eſt = v - a = {nna/mm - nn}. </s>
            <s xml:id="echoid-s2790" xml:space="preserve">Exemplo citiſſimam velocitatis ad ultimum
              <lb/>
            ſuum terminum acceſſionem illuſtrabo, poſtquam æquationem inter v & </s>
            <s xml:id="echoid-s2791" xml:space="preserve">
              <lb/>
            tempus altitudini v reſpondens appoſuero.</s>
            <s xml:id="echoid-s2792" xml:space="preserve"/>
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        <div xml:id="echoid-div105" type="section" level="1" n="78">
          <head xml:id="echoid-head103" xml:space="preserve">Corollarium 3.</head>
          <p>
            <s xml:id="echoid-s2793" xml:space="preserve">§. </s>
            <s xml:id="echoid-s2794" xml:space="preserve">10. </s>
            <s xml:id="echoid-s2795" xml:space="preserve">In caſu affuſionis, quam vocamus, lateralis, fit ultima altitu-
              <lb/>
            do v = a, quæcunque inter utrumque vaſis orificium ratio interceſſerit.</s>
            <s xml:id="echoid-s2796" xml:space="preserve"/>
          </p>
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        <div xml:id="echoid-div106" type="section" level="1" n="79">
          <head xml:id="echoid-head104" xml:space="preserve">Corollarium 4.</head>
          <p>
            <s xml:id="echoid-s2797" xml:space="preserve">§. </s>
            <s xml:id="echoid-s2798" xml:space="preserve">11. </s>
            <s xml:id="echoid-s2799" xml:space="preserve">Si vas eſt cylindricum ejusque longitudo ponatur = b, fit (vid.
              <lb/>
            </s>
            <s xml:id="echoid-s2800" xml:space="preserve">§. </s>
            <s xml:id="echoid-s2801" xml:space="preserve">3.) </s>
            <s xml:id="echoid-s2802" xml:space="preserve">N = {nnb/m}: </s>
            <s xml:id="echoid-s2803" xml:space="preserve">notetur autem non confundendos eſſe valores litterarum a
              <lb/>
            & </s>
            <s xml:id="echoid-s2804" xml:space="preserve">b, primus enim exprimit altitudinem ſupremi orificii ſupra inferius, alter
              <lb/>
            longitudinem canalis; </s>
            <s xml:id="echoid-s2805" xml:space="preserve">Sic itaque conveniunt inter ſe valores in hoc ſaltem
              <lb/>
            caſu, cum axis vaſis linea eſt recta & </s>
            <s xml:id="echoid-s2806" xml:space="preserve">verticalis; </s>
            <s xml:id="echoid-s2807" xml:space="preserve">at ſi axis tortuoſus eſt, vel
              <lb/>
            ſaltem non verticalis, differunt à ſe invicem: </s>
            <s xml:id="echoid-s2808" xml:space="preserve">Hæc ideo expreſſe monere
              <lb/>
            volui, ne quis ſibi a figuris vaſorum, quorum axes ubique rectos & </s>
            <s xml:id="echoid-s2809" xml:space="preserve">verti-
              <lb/>
            cales feci, imponi patiatur.</s>
            <s xml:id="echoid-s2810" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s2811" xml:space="preserve">Quod ſi igitur pro vaſis cylindricis ponatur N = {nn/m}b fit pro affuſio-
              <lb/>
            ne verticali
              <lb/>
            v = {mma/mm - nn} X (1 - c
              <emph style="super">{nn - mm/mnb} x</emph>
            )
              <lb/>
            & </s>
            <s xml:id="echoid-s2812" xml:space="preserve">pro altera laterali fit v = a (1 - c
              <emph style="super">{- mx/nb}</emph>
            ).</s>
            <s xml:id="echoid-s2813" xml:space="preserve"/>
          </p>
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        <div xml:id="echoid-div107" type="section" level="1" n="80">
          <head xml:id="echoid-head105" xml:space="preserve">Problema.</head>
          <p>
            <s xml:id="echoid-s2814" xml:space="preserve">§. </s>
            <s xml:id="echoid-s2815" xml:space="preserve">12. </s>
            <s xml:id="echoid-s2816" xml:space="preserve">Invenire velocitatem aquæ, ex vaſe conſtanter pleno effluentis,
              <lb/>
            poſtquam fluxus per datum tempus duravit.</s>
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