Bernoulli, Daniel, Hydrodynamica, sive De viribus et motibus fluidorum commentarii
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            <s xml:id="echoid-s1462" xml:space="preserve">fieri motum in vaſe compoſito quam in ſimplici; </s>
            <s xml:id="echoid-s1463" xml:space="preserve">utrumque præmonui in fine
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            §. </s>
            <s xml:id="echoid-s1464" xml:space="preserve">23. </s>
            <s xml:id="echoid-s1465" xml:space="preserve">Res autem melius & </s>
            <s xml:id="echoid-s1466" xml:space="preserve">accuratius intelligitur ex æquationibus differen-
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            tialibus, quas §. </s>
            <s xml:id="echoid-s1467" xml:space="preserve">§. </s>
            <s xml:id="echoid-s1468" xml:space="preserve">22. </s>
            <s xml:id="echoid-s1469" xml:space="preserve">& </s>
            <s xml:id="echoid-s1470" xml:space="preserve">23. </s>
            <s xml:id="echoid-s1471" xml:space="preserve">dedimus, quibus ſi utamur ad prima motuum in-
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            crementa invenienda, tam in cylindro ſimplici Fig. </s>
            <s xml:id="echoid-s1472" xml:space="preserve">23. </s>
            <s xml:id="echoid-s1473" xml:space="preserve">quam in compoſito
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            Fig. </s>
            <s xml:id="echoid-s1474" xml:space="preserve">24. </s>
            <s xml:id="echoid-s1475" xml:space="preserve">atque hunc in finem ponamus amplitudines cylindri & </s>
            <s xml:id="echoid-s1476" xml:space="preserve">tubi eſſe ut
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            m ad n, erit incrementum, quod vocavimus d v in vaſe ſimplici ad incre-
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            mentum in vaſe compoſito, ut 1 + {3m/n} ad 4, adeoque longe majus in iſto
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            caſu quam in hoc. </s>
            <s xml:id="echoid-s1477" xml:space="preserve">Si proin primum motum recte percipere liceret, cele-
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            riorem ſtatim illum obſervaturi eſſemus, qui fit in Cylindro ſimplici; </s>
            <s xml:id="echoid-s1478" xml:space="preserve">Cum
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            vero in §. </s>
            <s xml:id="echoid-s1479" xml:space="preserve">15. </s>
            <s xml:id="echoid-s1480" xml:space="preserve">& </s>
            <s xml:id="echoid-s1481" xml:space="preserve">23. </s>
            <s xml:id="echoid-s1482" xml:space="preserve">porro demonſtratum fuerit, ſuperficiem aquæ, poſt-
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            quam paululum deſcendit in utroque vaſe proxime tales eſſe, quæ reſpon-
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            deant altitudinibus {nn/mm} x, intelligendo per x altitudines aquæ ſupra orificia,
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            per quæ effluit, ſequitur mox multo majori velocitate aquam deſcendere in
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            Fig. </s>
            <s xml:id="echoid-s1483" xml:space="preserve">24. </s>
            <s xml:id="echoid-s1484" xml:space="preserve">quam Fig. </s>
            <s xml:id="echoid-s1485" xml:space="preserve">26. </s>
            <s xml:id="echoid-s1486" xml:space="preserve">Sic igitur Theoria plane convenit cum obſervatis.</s>
            <s xml:id="echoid-s1487" xml:space="preserve"/>
          </p>
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            <s xml:id="echoid-s1488" xml:space="preserve">II. </s>
            <s xml:id="echoid-s1489" xml:space="preserve">Superficiem aqueam non parum velocius deſcendere in Figura 26.
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            </s>
            <s xml:id="echoid-s1490" xml:space="preserve">quam 24. </s>
            <s xml:id="echoid-s1491" xml:space="preserve">ita ut velocitas in caſu Fig. </s>
            <s xml:id="echoid-s1492" xml:space="preserve">24. </s>
            <s xml:id="echoid-s1493" xml:space="preserve">ſit quaſi media inter caſus Figuræ
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            23. </s>
            <s xml:id="echoid-s1494" xml:space="preserve">& </s>
            <s xml:id="echoid-s1495" xml:space="preserve">26. </s>
            <s xml:id="echoid-s1496" xml:space="preserve">Hic vero rurſus patet, primas quidem accelerationes multo tar-
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            dius fieri in cylindro Fig. </s>
            <s xml:id="echoid-s1497" xml:space="preserve">24. </s>
            <s xml:id="echoid-s1498" xml:space="preserve">quam 26. </s>
            <s xml:id="echoid-s1499" xml:space="preserve">Hoc igitur reſpectu ipſa theoria in-
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            dicat, quod obſervatum fuit; </s>
            <s xml:id="echoid-s1500" xml:space="preserve">at certe differentia multum abeſt, ut tanta
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            inde oriri poſſit, quantam expertus fui, neque amplius ſenſibilis eſſe debe-
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            ret, poſtquam utrobique ſuperficies paullulum deſcendit, per §. </s>
            <s xml:id="echoid-s1501" xml:space="preserve">23. </s>
            <s xml:id="echoid-s1502" xml:space="preserve">
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            debet autem reliquum impedimento tribui, quod ab attritu aquæ in Fig. </s>
            <s xml:id="echoid-s1503" xml:space="preserve">24. </s>
            <s xml:id="echoid-s1504" xml:space="preserve">
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            oritur: </s>
            <s xml:id="echoid-s1505" xml:space="preserve">aqua enim per tubum A A magna velocitate fertur, ſicque tam ob
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            velocitatem auctam, quam ob amplitudinem vaſis diminutam impedimentum
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            motui aquæ validiſſimum offertur.</s>
            <s xml:id="echoid-s1506" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s1507" xml:space="preserve">III. </s>
            <s xml:id="echoid-s1508" xml:space="preserve">Denique velociſſime, ſi prima temporis puncta excipias, aqueam
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            ſuperficiem deſcendere in Cylindro Fig. </s>
            <s xml:id="echoid-s1509" xml:space="preserve">25. </s>
            <s xml:id="echoid-s1510" xml:space="preserve">& </s>
            <s xml:id="echoid-s1511" xml:space="preserve">notanter velocius quam in Fig. </s>
            <s xml:id="echoid-s1512" xml:space="preserve">26.</s>
            <s xml:id="echoid-s1513" xml:space="preserve"/>
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            <s xml:id="echoid-s1514" xml:space="preserve">Id vero conforme eſt cum his quæ §. </s>
            <s xml:id="echoid-s1515" xml:space="preserve">23. </s>
            <s xml:id="echoid-s1516" xml:space="preserve">demonſtrata ſunt; </s>
            <s xml:id="echoid-s1517" xml:space="preserve">deberent
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            autem mox poſt commune motus initium, poſitis nempe altitudinibus aquæ
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            ſupra orificia effluxus fere æqualibus, velocitates in Figuris 25. </s>
            <s xml:id="echoid-s1518" xml:space="preserve">& </s>
            <s xml:id="echoid-s1519" xml:space="preserve">26. </s>
            <s xml:id="echoid-s1520" xml:space="preserve">pro-
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            xime eſſe ut amplitudines orificiorum B & </s>
            <s xml:id="echoid-s1521" xml:space="preserve">A, id eſt, ut 25. </s>
            <s xml:id="echoid-s1522" xml:space="preserve">ad 16. </s>
            <s xml:id="echoid-s1523" xml:space="preserve">& </s>
            <s xml:id="echoid-s1524" xml:space="preserve">quod
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            minor obſervetur velocitatum differentia, rurſus impedimento frictionis eſt
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            tribuendum præter aliam cauſam in fine §. </s>
            <s xml:id="echoid-s1525" xml:space="preserve">25. </s>
            <s xml:id="echoid-s1526" xml:space="preserve">indicatam.</s>
            <s xml:id="echoid-s1527" xml:space="preserve"/>
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