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

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        <div xml:id="echoid-div113" type="section" level="1" n="86">
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            <s xml:id="echoid-s2987" xml:space="preserve">
              <pb o="106" file="0120" n="120" rhead="HYDRODYNAMICÆ"/>
            poſſunt, velocitate conſtanter effluerent, non excederet earum quantitas poſt
              <lb/>
            tempus infinitum quantitatem pro eodem tempore theoriæ reſpondentem, niſi
              <lb/>
            parvula quantitate, quæ in prino caſu exprimitur per {2mmN/mm - nn} log. </s>
            <s xml:id="echoid-s2988" xml:space="preserve">2. </s>
            <s xml:id="echoid-s2989" xml:space="preserve">& </s>
            <s xml:id="echoid-s2990" xml:space="preserve">in
              <lb/>
            ſecundo per {aN/n} log. </s>
            <s xml:id="echoid-s2991" xml:space="preserve">2. </s>
            <s xml:id="echoid-s2992" xml:space="preserve">Atque ſi loco temporis infiniti ſumas tempus tantum
              <lb/>
            aliquot ſcrupulorum ſecundorum, idem theorema proxime locum habebit; </s>
            <s xml:id="echoid-s2993" xml:space="preserve">ita
              <lb/>
            ut ſi v. </s>
            <s xml:id="echoid-s2994" xml:space="preserve">gr. </s>
            <s xml:id="echoid-s2995" xml:space="preserve">poſt decem prima minuta ſecunda effluxerit quantitas Q, effluxura
              <lb/>
            fere ſit totidem minutis ſecundis proxime ſequentibus Q + {2mmN/mmn - n
              <emph style="super">3</emph>
            } log. </s>
            <s xml:id="echoid-s2996" xml:space="preserve">2. </s>
            <s xml:id="echoid-s2997" xml:space="preserve">vel
              <lb/>
            in altero caſu Q + {2N/n} log. </s>
            <s xml:id="echoid-s2998" xml:space="preserve">2.</s>
            <s xml:id="echoid-s2999" xml:space="preserve"/>
          </p>
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        <div xml:id="echoid-div114" type="section" level="1" n="87">
          <head xml:id="echoid-head112" xml:space="preserve">Scholium.</head>
          <p>
            <s xml:id="echoid-s3000" xml:space="preserve">§. </s>
            <s xml:id="echoid-s3001" xml:space="preserve">17. </s>
            <s xml:id="echoid-s3002" xml:space="preserve">Ad theoriam hacte
              <unsure/>
            nus expoſitam pertine
              <unsure/>
            t etiam motus aquarum per
              <lb/>
            ſiphones. </s>
            <s xml:id="echoid-s3003" xml:space="preserve">Indicat autem theoria, poſſe ſiphonis axem utcunque inflecti, ne-
              <lb/>
            que inde motum aquarum deturbatum iri, modo altitudo ſuperficiei aqueæ ſu-
              <lb/>
            pra orificium effluxus eadem maneat; </s>
            <s xml:id="echoid-s3004" xml:space="preserve">cum præterea aquæductus, ſiphones
              <lb/>
            aut diabetæ hujuſcemodique vaſa alia ſoleant eſſe cylindrica erit ut monui §.
              <lb/>
            </s>
            <s xml:id="echoid-s3005" xml:space="preserve">13. </s>
            <s xml:id="echoid-s3006" xml:space="preserve">quoties id contingit, ponendum N = {nn/m} b, intelligendo per b longitu-
              <lb/>
            dinem canalis aut ſiphonis: </s>
            <s xml:id="echoid-s3007" xml:space="preserve">in formulis quoque paragraphorum 14, 15, & </s>
            <s xml:id="echoid-s3008" xml:space="preserve">16,
              <lb/>
            erunt quantitates ſic interpretandæ, ubi de temporibus quæſtio eſt, ut 2 γ √ A
              <lb/>
            repræſentet tempus quod corpus impendit in deſcenſum per altitudinem ver-
              <lb/>
            ticalem A à quiete cœptum.</s>
            <s xml:id="echoid-s3009" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s3010" xml:space="preserve">Cæterum, ut dixi paſſim, nihil indicat ſingulare theoria hujus ſectionis,
              <lb/>
            quod ſub ſenſus cadat, niſi in aquæ ductibus admodum longis, ad horizonta-
              <lb/>
            lem valde obliquis & </s>
            <s xml:id="echoid-s3011" xml:space="preserve">orificium non admodum ſtrictum habentibus; </s>
            <s xml:id="echoid-s3012" xml:space="preserve">hæctria
              <lb/>
            enim concurrunt ad retardandas ſicque notabiles efficiendas accelerationes,
              <lb/>
            quarum menſuræ potiſſimum theoriam commendant.</s>
            <s xml:id="echoid-s3013" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s3014" xml:space="preserve">Eſt tamen & </s>
            <s xml:id="echoid-s3015" xml:space="preserve">in his circumſtantiis medium aliquod obſervandum, ne
              <lb/>
            impedimenta ab adhæſione aquæ oriunda nimia ſint</s>
          </p>
          <p>
            <s xml:id="echoid-s3016" xml:space="preserve">Quod attinet ad affuſionem aquarum, mihi viſus ſum animadvertere, </s>
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