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

Table of Notes

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              <pb o="173" file="0187" n="187" rhead="SECTIO NONA."/>
            fiat igitur amplus aut etiam plures tubi conſtruantur aquas transmittentes: </s>
            <s xml:id="echoid-s5028" xml:space="preserve">ma-
              <lb/>
            joris eſt momenti hæc annotatio in præſenti caſu, quod multo majus diſpen-
              <lb/>
            dium ab anguſtia diabetes D oritur, quam in aliis machinis; </s>
            <s xml:id="echoid-s5029" xml:space="preserve">fac enim am-
              <lb/>
            plitudinem hujus diabetes eandem, quæ eſt orificio E, & </s>
            <s xml:id="echoid-s5030" xml:space="preserve">pone inſuper æqua-
              <lb/>
            libus temporis intervallis embolum deprimi, retrahique non perdetur jam ſo-
              <lb/>
            lum dimidia potentiæ abſolutæ pars, ut aliàs, ſed plane quatuor quintæ partes
              <lb/>
            inutiles fient. </s>
            <s xml:id="echoid-s5031" xml:space="preserve">Quia vero multa ſunt in hâc machina, quæ ſingularem po-
              <lb/>
            ſtulant calculum, placet illam ſeorſim perluſtrare.</s>
            <s xml:id="echoid-s5032" xml:space="preserve"/>
          </p>
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        <div xml:id="echoid-div206" type="section" level="1" n="160">
          <head xml:id="echoid-head207" style="it" xml:space="preserve">Digreſſus continens aliquas commentationes in Ma-
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          chinam Hydraulicam quam repræſent at figura 51.</head>
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            <s xml:id="echoid-s5033" xml:space="preserve">(α) Non poteſt jactus aqueus per E eſſe omnino æquabill
              <unsure/>
            s, durante
              <lb/>
            tota emboli agitatione: </s>
            <s xml:id="echoid-s5034" xml:space="preserve">Dum enim embolus elevatur, novæ aquæ non acce-
              <lb/>
            dunt, atque ſic diminuitur quantitas aquæ in catino G E contentæ, aërque
              <lb/>
            eidem ſuperincumbens dilatatur ac denique elater ipſius diminuitur: </s>
            <s xml:id="echoid-s5035" xml:space="preserve">hinc
              <lb/>
            quoque velocitate continue minori aqua erumpit donec rurſus ab embolo
              <lb/>
            intruſo acceleretur.</s>
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          </p>
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            <s xml:id="echoid-s5037" xml:space="preserve">Verum ſi ponatur ſpatium, quod aër in catino occupat longe ma-
              <lb/>
            jus ſpatio illo ab aqua, quæ durante una emboli elevatione ejicitur, occu-
              <lb/>
            pato, ceſſat fere tota hæc inæqualitas, poſito embolum uniformiter agitari
              <lb/>
            & </s>
            <s xml:id="echoid-s5038" xml:space="preserve">diu ante fuiſſe agitatum, quæ poſterior hypothſis ideo neceſſaria eſt, quod
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            primæ agitatione valde differant à ſequentibus. </s>
            <s xml:id="echoid-s5039" xml:space="preserve">Igitur brevitatis ergo om-
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            nibus hiſce hypotheſibus ſatitfaciemus, ideſt, ubique ſtatum, qui dicitur,
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            permanentiæ ponemus.</s>
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            <s xml:id="echoid-s5041" xml:space="preserve">(β) Cum igitur primis emboli agitationibus ſenſim augeatur velocitas
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            aquæ per E effluentis, mox fit ut jactus aqueus velocitatem tantum non in-
              <lb/>
            tegram attingat; </s>
            <s xml:id="echoid-s5042" xml:space="preserve">quo rei ſtatu poſito, patet tantum aquæ depreſſ
              <unsure/>
            ione em-
              <lb/>
            boli impelli in catinum, quantum ex eodem tota emboli agitatione ejicitur.</s>
            <s xml:id="echoid-s5043" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s5044" xml:space="preserve">Primis autem agitationibus plus intruditur, quam ejicitur, idque non
              <lb/>
            ideo, ut putavit Dn. </s>
            <s xml:id="echoid-s5045" xml:space="preserve">Perrault, quod orificium in E altero in G minus ſit
              <lb/>
            (idemque enim ſuccederet ſi vel majus eſſet) ſed quod cauſa efficiens non p of-
              <lb/>
            ſit ſtatim omnem ſuum exerere effectum in ejiciendis aquis.</s>
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