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

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        <div xml:id="echoid-div65" type="section" level="1" n="46">
          <pb o="53" file="0067" n="67" rhead="SECTIO TERTIA."/>
        </div>
        <div xml:id="echoid-div66" type="section" level="1" n="47">
          <head xml:id="echoid-head58" style="it" xml:space="preserve">Experimenta quæ ad Sect. 3. pertinent.</head>
          <head xml:id="echoid-head59" xml:space="preserve">Prænotanda.</head>
          <p>
            <s xml:id="echoid-s1369" xml:space="preserve">PLurima quidem ſunt in hâc Sectione eaque fere præcipua, quæ vix
              <lb/>
            ad experimenta revocari immediate poſſunt; </s>
            <s xml:id="echoid-s1370" xml:space="preserve">Etenim cum Auctores ha-
              <lb/>
            ctenus motum in fluidis effluentibus alium non conſideraverint,
              <lb/>
            quam qui fiunt per foramina valde parva, cumque proin nova ſit theoria
              <lb/>
            quam dedimus pro amplitudinibus foraminum qualibuscunque, hæc ipſa
              <lb/>
            eſt, cujus confirmatio maxime juvaret. </s>
            <s xml:id="echoid-s1371" xml:space="preserve">At non video, quomodo in Cy-
              <lb/>
            lindris verticalibus, de quibus potiſſimum egimus, velocitas aquæ effluen-
              <lb/>
            tis obſervari poſſit, præſertim cum foramen eſt valde amplum (ſecus enim
              <lb/>
            ex tempore depletionis aliquod de velocitatibus judicium ferri poteſt.) </s>
            <s xml:id="echoid-s1372" xml:space="preserve">Hæc
              <lb/>
            ita perpendens cogitavi demum ſcopo noſtro inſervire poſſe paragraphos 16.
              <lb/>
            </s>
            <s xml:id="echoid-s1373" xml:space="preserve">& </s>
            <s xml:id="echoid-s1374" xml:space="preserve">20. </s>
            <s xml:id="echoid-s1375" xml:space="preserve">in quorum priore determinata fuit velocitas maxima aquæ effluentis
              <lb/>
            ex cylindris verticaliter poſitis, in altero autem demonſtratum eſt, eundem
              <lb/>
            eſſe motum ex cylindris oblique poſitis & </s>
            <s xml:id="echoid-s1376" xml:space="preserve">verticalibus, ſi utrobique altitudi-
              <lb/>
            nes verticales ſimiles aſſumantur: </s>
            <s xml:id="echoid-s1377" xml:space="preserve">Commode igitur utemur cylindris oblique
              <lb/>
            poſitis, ut ex maxima amplitudine jactus aquei poſſit velocitas maxima aquæ
              <lb/>
            ſeu altitudo eidem debita experimento haberi: </s>
            <s xml:id="echoid-s1378" xml:space="preserve">& </s>
            <s xml:id="echoid-s1379" xml:space="preserve">hâc quidem ratione accu-
              <lb/>
            rate velocitas illa maxima, qualis revera eſt, explorari poteſt, etiamſi ſo-
              <lb/>
            ramina ſint quantumlibet magna, quæ proin ſi convenire obſervetur cum re-
              <lb/>
            gulis noſtris, de integra theoria dubium ſupereſſe nullum poterit.</s>
            <s xml:id="echoid-s1380" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s1381" xml:space="preserve">Priusquam vero rem ipſam aggrediar, præmittendum erit theore
              <unsure/>
            ma
              <lb/>
            mechanicum, quod ſequitur.</s>
            <s xml:id="echoid-s1382" xml:space="preserve"/>
          </p>
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        <div xml:id="echoid-div67" type="section" level="1" n="48">
          <head xml:id="echoid-head60" xml:space="preserve">Lemma.</head>
          <p>
            <s xml:id="echoid-s1383" xml:space="preserve">Sit A B (Fig. </s>
            <s xml:id="echoid-s1384" xml:space="preserve">21.) </s>
            <s xml:id="echoid-s1385" xml:space="preserve">linea verticalis, B D horizontalis; </s>
            <s xml:id="echoid-s1386" xml:space="preserve">linea autem A D
              <lb/>
              <note position="right" xlink:label="note-0067-01" xlink:href="note-0067-01a" xml:space="preserve">Fig. 21.</note>
            directionem habeat qualemcunque, ſub cujus directione corpus in A proje-
              <lb/>
            ctum intelligatur, arcum deſcribens parabolium A C, cujus nempe tangens
              <lb/>
            in A eſt recta A D, erit altitudo debita velocitati, qua corpus in A proje-
              <lb/>
            ctum fuit, = {BC
              <emph style="super">2</emph>
            X AD
              <emph style="super">2</emph>
            /4AB.</s>
            <s xml:id="echoid-s1387" xml:space="preserve">BD.</s>
            <s xml:id="echoid-s1388" xml:space="preserve">CD} atque ſi AD fuerit horizontalis ſive angulus B A D
              <lb/>
            rectus, erit eadem illa altitudo = {BC
              <emph style="super">2</emph>
            /4AB}.</s>
            <s xml:id="echoid-s1389" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s1390" xml:space="preserve">Jam vero quæ mihi obſervata fuerint exponam.</s>
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