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

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            <emph style="bf">HYDRODYNAMICÆ
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            SECTIO QUARTA.</emph>
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          <head xml:id="echoid-head73" style="it" xml:space="preserve">De variis temporibus, quæ in effluxu aquarum
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          deſiderari poſſunt.</head>
          <head xml:id="echoid-head74" xml:space="preserve">§. 1.</head>
          <p>
            <s xml:id="echoid-s1664" xml:space="preserve">REs videbitur multis omnino Geometrica, quæ ſcilicet nulla conſide-
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            ratione phyſica opus habeat, ut, cum aquæ ex dato vaſe per lumen co-
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            gnitum velocitatibus in omniſitu determinatis effluunt, tempus de-
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            finiatur, quo data effluat aquæ quantitas. </s>
            <s xml:id="echoid-s1665" xml:space="preserve">Attamen experientia contra-
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            rium docet; </s>
            <s xml:id="echoid-s1666" xml:space="preserve">nam multo minori quantitate aquæ effluunt perforamina, quæ ſunt
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            in lamina tenui, quam ex ſimplici velocitatum conſideratione ſequeretur, idque
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            plerumque (nec enim res ſibi conſtat in diverſis circumſtantiis) in ratione ut
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            1 ad √ 2; </s>
            <s xml:id="echoid-s1667" xml:space="preserve">movit hoc Newtonum, ut affirmaret in prima Princ. </s>
            <s xml:id="echoid-s1668" xml:space="preserve">math. </s>
            <s xml:id="echoid-s1669" xml:space="preserve">editio-
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            ne aquam ex vaſe ea effluere velocitate, quæ generetur altitudine dimidia aquæ
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            ſupra foramen, cui opinioni omnia experimenta de velocitatibus immediate
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            ſumta, contradicunt. </s>
            <s xml:id="echoid-s1670" xml:space="preserve">Explorans poſtmodum ipſe magnus Vir hujus contra-
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            dictionis originem, eam poſitam eſſe obſervavit in contractione venæ aqueæ,
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            quæ contractio mox præ foramine fieri ſolet. </s>
            <s xml:id="echoid-s1671" xml:space="preserve">Alia quoque mihi obſervata fuit
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            venæ mutatio priori nunc ſimilis nunc contraria. </s>
            <s xml:id="echoid-s1672" xml:space="preserve">Nempe cum aquæ non per
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            fimplex foramen, verum per tubulum effluunt, rurſus contrahitur vena, ſi
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            tubus exteriora verſus convergit, ſed dilatatur ſi idem divergit. </s>
            <s xml:id="echoid-s1673" xml:space="preserve">De contra-
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            ctione venæ aqueæ per tubos convergentes effluentis accuratiſſima ſumſit ex-
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            perimenta Joh. </s>
            <s xml:id="echoid-s1674" xml:space="preserve">Polenus in libro de caſtellis p. </s>
            <s xml:id="echoid-s1675" xml:space="preserve">15. </s>
            <s xml:id="echoid-s1676" xml:space="preserve">& </s>
            <s xml:id="echoid-s1677" xml:space="preserve">ſeqq. </s>
            <s xml:id="echoid-s1678" xml:space="preserve">contractio venæ eo
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            major à Viro Celeberrimo obſervata fuit, quo amplius erat orificium tubi co-
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            nici internum manentibus orificio externo atque longitudine tubi, quæ ratio eſt,
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            quod ſimilis aquæ quantitas ceteris paribus eò tardius effluxerit, quò amplius
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            fuerit orificium internum, quamvis impedimenta ab adhæſione aquæ ad </s>
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