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

Table of Notes

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            <s xml:id="echoid-s5586" xml:space="preserve">
              <pb o="193" file="0207" n="207" rhead="SECTIO NONA."/>
            lis machinatio pertineret ad illarum claſſem, quibus maxima potentiæ obſolutæ
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            pars evaneſcit ſine fructu.</s>
            <s xml:id="echoid-s5587" xml:space="preserve"/>
          </p>
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            <s xml:id="echoid-s5588" xml:space="preserve">Non abs re erit iſtud argumentum accuratius proſequi, & </s>
            <s xml:id="echoid-s5589" xml:space="preserve">oſtendere
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            quantus effectus ab impetu aquarum aut venti obtineri poſſit & </s>
            <s xml:id="echoid-s5590" xml:space="preserve">ſub quibus cir-
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            cumſtantiis effectus iſte ſit omnium maximus dicendus.</s>
            <s xml:id="echoid-s5591" xml:space="preserve"/>
          </p>
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        <div xml:id="echoid-div231" type="section" level="1" n="183">
          <head xml:id="echoid-head231" style="it" xml:space="preserve">(C) De Machinis, quæ ab impetu fluidi, veluti vi venti moventur.</head>
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            <s xml:id="echoid-s5592" xml:space="preserve">§. </s>
            <s xml:id="echoid-s5593" xml:space="preserve">30. </s>
            <s xml:id="echoid-s5594" xml:space="preserve">Poſtquam aquæ ad certam altitudinem elevatæ ex eâdem rur-
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            ſus decidunt, continueque in alas rotæ circumagendæ impingunt, fieri aliter
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            non poteſt, quin potentia abſoluta ad rotam ſic circumagendam requiſita multo
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            minor ſit illa, quæ in elevationem aquarum impenſa fuit, cujus rei præci-
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            pua ratio eſt, quod aquæ poſt impulſum ad latera deſilientes velocitatem
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            etiamnum conſervent, quæ ad rotæ rotationem nihil confert. </s>
            <s xml:id="echoid-s5595" xml:space="preserve">Igitur magna
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            potentiæ abſolutæ pars inutilis fieret, ſi elevatione aquarum efficiendum eſſet,
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            ut ab impetu earundem machina circumagatur & </s>
            <s xml:id="echoid-s5596" xml:space="preserve">ab hac denique aquæ rurſus
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            aliæ ad certam altitudinem eleventur; </s>
            <s xml:id="echoid-s5597" xml:space="preserve">& </s>
            <s xml:id="echoid-s5598" xml:space="preserve">quidem major minorve pars perit
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            pro diverſis circumſtantiis, nunquam vero, ut monſtrabo, minus quam {23/27}
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            totius perdetur, ſi ad normam vulgaris impulſus aquarum æſtimationis com-
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            putus fiat.</s>
            <s xml:id="echoid-s5599" xml:space="preserve"/>
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            <s xml:id="echoid-s5600" xml:space="preserve">§. </s>
            <s xml:id="echoid-s5601" xml:space="preserve">31. </s>
            <s xml:id="echoid-s5602" xml:space="preserve">Statuitur autem communiter ſi aquæ ex cylindro valde amplo
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            per ſimplex foramen tota ſua velocitate, id eſt, quæ toti altitudini aquæ ſu-
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            pra foramen debeatur, fluant, atque vena ſtatim præ foramine directe impin-
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            gat in planum, fore ut impetus fluidi contra planum in æquilibrio ſit cum pon-
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            dere cylindri aquei, ſuper foramine ad altitudinem aquæ erecti. </s>
            <s xml:id="echoid-s5603" xml:space="preserve">Experimento
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            quidem fallaci auctores ſeducti hanc ſtabiliverunt theoriam omnino falſam.
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            </s>
            <s xml:id="echoid-s5604" xml:space="preserve">Nolui tamen hîc ab illa recedere, quia veram theoriam nondum expoſui at-
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            que deinceps facile erit expoſita noſtra theoria calculum corrigere. </s>
            <s xml:id="echoid-s5605" xml:space="preserve">Liceat igi-
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            tur, donec ſuo loco rem rectius perpenderimus, vulgari ſententiæ, quamvis
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            erroneæ, adhærere. </s>
            <s xml:id="echoid-s5606" xml:space="preserve">Quo major eſt impetus fluidi, eo majori ratione erit po-
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            tentia abſoluta, quam dabimus, augenda.</s>
            <s xml:id="echoid-s5607" xml:space="preserve"/>
          </p>
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            <s xml:id="echoid-s5608" xml:space="preserve">§. </s>
            <s xml:id="echoid-s5609" xml:space="preserve">32. </s>
            <s xml:id="echoid-s5610" xml:space="preserve">Finge nunc (Fig. </s>
            <s xml:id="echoid-s5611" xml:space="preserve">54.) </s>
            <s xml:id="echoid-s5612" xml:space="preserve">vas A B C ceu antliam quæ aquas per
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              <note position="right" xlink:label="note-0207-01" xlink:href="note-0207-01a" xml:space="preserve">Fig. 54.</note>
            foramen C in directione tantum non verticali expellat: </s>
            <s xml:id="echoid-s5613" xml:space="preserve">aquas autem, cum ad
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            ſummum pervenerint, ab alio vaſe E D F excipi. </s>
            <s xml:id="echoid-s5614" xml:space="preserve">In alterius hujus vaſis </s>
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