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

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              <pb o="161" file="0175" n="175" rhead="SECTIO OCTAVA."/>
            v = 4a + 2b - 2x - c
              <emph style="super">{- x/2a}</emph>
            X (2b + 4a)</s>
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          <p>
            <s xml:id="echoid-s4694" xml:space="preserve">unde ſi ponatur 4a + 2b - 2x - c
              <emph style="super">{- x/2a}</emph>
            X (2b + 4a) = o,
              <lb/>
            dabit valor ipſius x totam excurſionem, à qua ſi auferatur b, reſiduum indi-
              <lb/>
            cabit deſcenſum infra punctum æquilibrii C.</s>
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          </p>
          <p>
            <s xml:id="echoid-s4696" xml:space="preserve">§. </s>
            <s xml:id="echoid-s4697" xml:space="preserve">29. </s>
            <s xml:id="echoid-s4698" xml:space="preserve">Ut vero exemplo quodam appareat, quantum hâc ratione oſ-
              <lb/>
            cillationes diminuantur, ponemus a = b, facta ſcilicet C A = G C & </s>
            <s xml:id="echoid-s4699" xml:space="preserve">B E = o.</s>
            <s xml:id="echoid-s4700" xml:space="preserve"/>
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          <p>
            <s xml:id="echoid-s4701" xml:space="preserve">Ita oritur
              <lb/>
            3a - x = c
              <emph style="super">{- x/2a}</emph>
            X (3a) ſive
              <lb/>
            c
              <emph style="super">{x/2a}</emph>
            = {3a/3a - x} vel x = 2a log. </s>
            <s xml:id="echoid-s4702" xml:space="preserve">3a/3a - x},
              <lb/>
            cui æquationi prope admodum ſatisfacit valor x = {7/4} a. </s>
            <s xml:id="echoid-s4703" xml:space="preserve">Eſt igitur decremen-
              <lb/>
            tum excurſionis ſeu a - b = quartæ parti elevationis fluidi ſupra punctum me-
              <lb/>
            dium: </s>
            <s xml:id="echoid-s4704" xml:space="preserve">ſi majus obſervetur experimento, reliquum adhæſioni aquæ ad latera
              <lb/>
            tuborum tribuendum erit.</s>
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          <p>
            <s xml:id="echoid-s4706" xml:space="preserve">§. </s>
            <s xml:id="echoid-s4707" xml:space="preserve">30. </s>
            <s xml:id="echoid-s4708" xml:space="preserve">Neque iſta diminutarum excurſionum ratio plane, ut ſuſpicor,
              <lb/>
            auferetur, ſi vel æqualis fiat amplitudinis tubus horizontalis cum verticalibus,
              <lb/>
            ob mutatam fluidi directionem in punctis A & </s>
            <s xml:id="echoid-s4709" xml:space="preserve">B.</s>
            <s xml:id="echoid-s4710" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s4711" xml:space="preserve">Cæterum infiniti alii fingi poſſent caſus iiſdem principiis ſolvendi, velu-
              <lb/>
            ti ſi natura oſcillationum indaganda ſit in vaſe Fig. </s>
            <s xml:id="echoid-s4712" xml:space="preserve">44. </s>
            <s xml:id="echoid-s4713" xml:space="preserve">cum id in parte horizon-
              <lb/>
            tali diaphragmate in duas diſpeſcitur partes ſolo lumine, quod diaphragma ha-
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            beat, inter ſe communicantes & </s>
            <s xml:id="echoid-s4714" xml:space="preserve">hujuſmodi alii. </s>
            <s xml:id="echoid-s4715" xml:space="preserve">Puto autem hæc jam ſufficere,
              <lb/>
            ut quiſque ſibi facile regulas generales pro iſtiuſmodi quæſtionibus ſolvendis
              <lb/>
            formare poſſit.</s>
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          </p>
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        <div xml:id="echoid-div174" type="section" level="1" n="135">
          <head xml:id="echoid-head176" xml:space="preserve">EXPERIMENTA</head>
          <head xml:id="echoid-head177" style="it" xml:space="preserve">Ad ſectionem octavam pertinentia.</head>
          <head xml:id="echoid-head178" xml:space="preserve">Experimentum 1.</head>
          <p>
            <s xml:id="echoid-s4717" xml:space="preserve">PAragraphum quartum, quo dicitur altitudinem velocitati aquæ per
              <lb/>
            orificium D effluentis (Fig. </s>
            <s xml:id="echoid-s4718" xml:space="preserve">37.) </s>
            <s xml:id="echoid-s4719" xml:space="preserve">eſſe {mmx/nn + mm} eo confirmavi modo, </s>
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