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

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              <pb o="23" file="0037" n="37" rhead="SECTIO SECUNDA."/>
            pter atque longitudo arcus DpC eſt ad eundem axem proxime ut 5 ad 2,
              <lb/>
            ita ut maxima elevatione ponderis veſica tribus quintis partibus decurtetur.</s>
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        <div xml:id="echoid-div28" type="section" level="1" n="22">
          <head xml:id="echoid-head28" xml:space="preserve">Caſus II.</head>
          <p>
            <s xml:id="echoid-s603" xml:space="preserve">§. </s>
            <s xml:id="echoid-s604" xml:space="preserve">12. </s>
            <s xml:id="echoid-s605" xml:space="preserve">Si poſitis cæteris, ut antea, minima filamenta trans-
              <lb/>
            verſalia n o, m p, &</s>
            <s xml:id="echoid-s606" xml:space="preserve">c. </s>
            <s xml:id="echoid-s607" xml:space="preserve">quæ ſunt perpendiculares ad fibras longitudinales, ex-
              <lb/>
            tenſioni reſiſtant, apparet non poſſe figuram fibræ DopC determinari, quin
              <lb/>
            duo potentiarum genera unicuique puncto applicata conſiderentur, quo-
              <lb/>
            rum alterum curvæ perpendiculariter inſiſtit, & </s>
            <s xml:id="echoid-s608" xml:space="preserve">filum extrorſum premit,
              <lb/>
            alterum ad axem curvæ DC, eſt perpendiculare & </s>
            <s xml:id="echoid-s609" xml:space="preserve">introrſum trahit: </s>
            <s xml:id="echoid-s610" xml:space="preserve">faci-
              <lb/>
            le etiam intelligitur infinitas poſſe harum preſſionum excogitari leges, ut
              <lb/>
            ad curvam quamvis datam fibra DopC ſe componat, atque adeo etiam v.
              <lb/>
            </s>
            <s xml:id="echoid-s611" xml:space="preserve">gr. </s>
            <s xml:id="echoid-s612" xml:space="preserve">ad circularem, quæ figura à plerisque Phyſiologis tribuitur fibrillis, quæ
              <lb/>
            pertinent ad machinulas muſculares: </s>
            <s xml:id="echoid-s613" xml:space="preserve">Sed eſt alius etiam modus, quo fibra
              <lb/>
            longitudinalis DopC acquirere poteſt figuram arcus circularis, nempe cum
              <lb/>
            omnino abſunt fibrillæ transverſales np, mp, &</s>
            <s xml:id="echoid-s614" xml:space="preserve">c. </s>
            <s xml:id="echoid-s615" xml:space="preserve">Sic enim dum inflatur ve-
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            ſica, hiatus fit inter duas fibras longitudinales proximas DopC & </s>
            <s xml:id="echoid-s616" xml:space="preserve">DnmC,
              <lb/>
            per quem fluidum erumpit, ſimul autem, cum non ſatis cito effluere poſ-
              <lb/>
            ſit, fibras extendit, easque ad figuram circularem componit: </s>
            <s xml:id="echoid-s617" xml:space="preserve">atque hoc in
              <lb/>
            caſu maxima veſicæ decurtatio, quæ in priori caſu fuit {3/5} totius longitudi-
              <lb/>
            nis veſicæ non inflatæ, nunc tantum eſt proxime {4/11}.</s>
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          <p>
            <s xml:id="echoid-s619" xml:space="preserve">§. </s>
            <s xml:id="echoid-s620" xml:space="preserve">13. </s>
            <s xml:id="echoid-s621" xml:space="preserve">Sequitur ex hiſce, difficile eſſe, ut figura veſicæ inflatæ, cui pon-
              <lb/>
            dus appenſum eſt, recte determinetur, quandoquidem nemo ſit, qui indo-
              <lb/>
            lem minimarum fibrillarum perfecte cognoſcere poſſit: </s>
            <s xml:id="echoid-s622" xml:space="preserve">tranſcribam tamen
              <lb/>
            huc exempla quædam, quæ maxime videntur probabilia, ex ſchedis meis
              <lb/>
            ſine demonſtratione, quam ſi quis deſideret, reperiet in tom. </s>
            <s xml:id="echoid-s623" xml:space="preserve">3. </s>
            <s xml:id="echoid-s624" xml:space="preserve">Comm.
              <lb/>
            </s>
            <s xml:id="echoid-s625" xml:space="preserve">Acad. </s>
            <s xml:id="echoid-s626" xml:space="preserve">Sc. </s>
            <s xml:id="echoid-s627" xml:space="preserve">Petrop. </s>
            <s xml:id="echoid-s628" xml:space="preserve">Ante omnia autem æquationem dabo ad curvam, quæ ex
              <lb/>
            duobus potentiarum generibus, ut dixi in præcedente paragrapho, iisque
              <lb/>
            quamcunque legem obſervantibus formatur.</s>
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          <p>
            <s xml:id="echoid-s630" xml:space="preserve">§. </s>
            <s xml:id="echoid-s631" xml:space="preserve">14. </s>
            <s xml:id="echoid-s632" xml:space="preserve">Sit igitur filum AEG (Fig. </s>
            <s xml:id="echoid-s633" xml:space="preserve">7.) </s>
            <s xml:id="echoid-s634" xml:space="preserve">duobus punctis A & </s>
            <s xml:id="echoid-s635" xml:space="preserve">G affixum;
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            </s>
            <s xml:id="echoid-s636" xml:space="preserve">
              <note position="right" xlink:label="note-0037-01" xlink:href="note-0037-01a" xml:space="preserve">Fig. 7.</note>
            ducatur recta AG: </s>
            <s xml:id="echoid-s637" xml:space="preserve">ſintque duo puncta in filo infinite propinqua D & </s>
            <s xml:id="echoid-s638" xml:space="preserve">E, ex
              <lb/>
            quibus agantur ad AG perpendiculares D B & </s>
            <s xml:id="echoid-s639" xml:space="preserve">E C; </s>
            <s xml:id="echoid-s640" xml:space="preserve">lineola autem D F ſit li-
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            neæ AG parallela. </s>
            <s xml:id="echoid-s641" xml:space="preserve">Intelligatur ſingulis punctis D vel E applicatas eſſe </s>
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