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

Table of handwritten notes

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          <pb o="151" file="0165" n="165" rhead="SECTIO OCTAVA."/>
          <p>
            <s xml:id="echoid-s4370" xml:space="preserve">§, 18. </s>
            <s xml:id="echoid-s4371" xml:space="preserve">Omnia hæc principia, quæ hactenus adhibuimus, facile ut
              <lb/>
            jam dixi extenduntur ad vaſa, quæ finitam ratione foraminum habent am-
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            plitudinem; </s>
            <s xml:id="echoid-s4372" xml:space="preserve">Poteſt autem eorum veritas alio etiam modo admodum diverſo
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            evinci, uti oſtendam, cum ad hydraulico-ſtaticam pervenero, quia altero il-
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            lo demonſtrandi modo preſſiones fluidorum in ſingulis vaſis partibus magis
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            fiunt perſpicuæ; </s>
            <s xml:id="echoid-s4373" xml:space="preserve">differunt autem horum fluidorum regulæ ſtaticæ vehemen-
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            ter à legibus, quæ fluidis ſtagnantibus debentur.</s>
            <s xml:id="echoid-s4374" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s4375" xml:space="preserve">Cæterum habent hæc ſuam utilitatem ad machinas hydraulicas recte
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            perſpiciendas; </s>
            <s xml:id="echoid-s4376" xml:space="preserve">neque enim ſatis ad hæc attenti fuiſſe videntur artifices: </s>
            <s xml:id="echoid-s4377" xml:space="preserve">da-
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            bitur autem occaſio de iis uberius diſſerendi in ſequenti ſectione, ubi cal-
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            culum ponemus, quantum vis in propellendis aquis adhibitæ perdatur à
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            tranſitu aquæ per plura foramina, oſtenſuri ſimul remedia adhibenda, ut illud
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            virium detrimentum, quantum fieri poteſt, diminuatur. </s>
            <s xml:id="echoid-s4378" xml:space="preserve">Prius vero alia quæ-
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            dam vaſa compoſita in hâc Sectione conſiderabimus, quam ad hæc deſcen-
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            damus.</s>
            <s xml:id="echoid-s4379" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s4380" xml:space="preserve">§. </s>
            <s xml:id="echoid-s4381" xml:space="preserve">19. </s>
            <s xml:id="echoid-s4382" xml:space="preserve">Fit aliquando, ut vaſa juxta ſe poſita aquas unum ex altero re-
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            cipiant effluxuras demum ex ultimo. </s>
            <s xml:id="echoid-s4383" xml:space="preserve">Hoſce vero motus jam exemplo illuſtra-
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            bimus.</s>
            <s xml:id="echoid-s4384" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s4385" xml:space="preserve">Propoſitum fuerit vas cujuſcunque formæ A G M B (Fig. </s>
            <s xml:id="echoid-s4386" xml:space="preserve">41.) </s>
            <s xml:id="echoid-s4387" xml:space="preserve">quod
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              <note position="right" xlink:label="note-0165-01" xlink:href="note-0165-01a" xml:space="preserve">Fig. 41.</note>
            nova aquarum affuſione conſtanter plenum conſervatur uſque in A B. </s>
            <s xml:id="echoid-s4388" xml:space="preserve">Ex eo-
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            dem interim vaſe fluidum tranſire intelligatur per foramen M in aliud vas con-
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            tiguum B M N C & </s>
            <s xml:id="echoid-s4389" xml:space="preserve">ex hoc rurſus in aliud C N R D per foramen N & </s>
            <s xml:id="echoid-s4390" xml:space="preserve">ſic porro,
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            donec tandem aquæ in aërem ejiciantur, quæranturque loca ſuperficierum H L,
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            P Q, &</s>
            <s xml:id="echoid-s4391" xml:space="preserve">c. </s>
            <s xml:id="echoid-s4392" xml:space="preserve">poſtquam fuerunt ad ſtatum permanentiæ reducta. </s>
            <s xml:id="echoid-s4393" xml:space="preserve">Quæſtio autem
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            ſic ſolvetur.</s>
            <s xml:id="echoid-s4394" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s4395" xml:space="preserve">Perſpicuum nempe eſt ex eo, quod ſuperficies A B, H L, P Q, &</s>
            <s xml:id="echoid-s4396" xml:space="preserve">c. </s>
            <s xml:id="echoid-s4397" xml:space="preserve">in eo-
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            dem loco permanent, aquas iis tranſire per foramina M, N, R velocitatibus, quæ
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            debeantur altitudinibus B H, L P, Q R, ſi modo tranſitus aquarum per unum fo-
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            ramen non acceleret earundem fluxum per foramen proximum, quod certe non
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            fiet, niſi expreſſe opera detur, ut id aliquantum fiat. </s>
            <s xml:id="echoid-s4398" xml:space="preserve">Præterea vero conſiderandum
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            eſt, velocitates aquarum per foramina transfluentium reciproce eſſe forami-
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            nibus proportionales, quia in ſtatu permanentiæ eodem tempore eædem aqua-
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            rum quantitates per fingula foramina trajiciuntur. </s>
            <s xml:id="echoid-s4399" xml:space="preserve">Ex iſtis intelligitur, </s>
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