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

Table of handwritten notes

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            vicem veras velocitates diſcrepaſſe, ratione habita ad altitudines aquæ & </s>
            <s xml:id="echoid-s66" xml:space="preserve">ubi-
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            que tales proxime fuiſſe, quæ integræ altitudini debeantur: </s>
            <s xml:id="echoid-s67" xml:space="preserve">illa autem, quæ
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            loco ultimo fuere citata, quæque pro dimidia altitudine prima fronte viden-
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            tur ſtare, numero apud Authores plurima, movebant procul dubio Newto-
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            num, Virum meritis ſuis immortalem, ut paulo confidentius loqueretur de
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            Theoria, qua aquam per lumen minimum ex vaſe verticaliter ſurſum exili-
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            entem ad dimidiam altitudinem aquæ in vaſe ſtagnantis aſcendere poſſe inve-
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            nerat, etſi aſſertum iſtud omnibus experimentis, quæ de his altitudinibus im-
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            mediate ſumta fuere, contradicat: </s>
            <s xml:id="echoid-s68" xml:space="preserve">Theoriam expoſuit in edit. </s>
            <s xml:id="echoid-s69" xml:space="preserve">prima princ.
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            </s>
            <s xml:id="echoid-s70" xml:space="preserve">Math. </s>
            <s xml:id="echoid-s71" xml:space="preserve">phil. </s>
            <s xml:id="echoid-s72" xml:space="preserve">nat.</s>
            <s xml:id="echoid-s73" xml:space="preserve">, eamque petiit ex preſſione, qua aqua præ foramine poſita
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            moxque egreſſura ad motum cietur. </s>
            <s xml:id="echoid-s74" xml:space="preserve">Quoniam vero natura rei haud ſemper
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            permittere videtur, ut a priori definiatur vis aquam ad effluxum animans, a@-
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            que potius de ea vix aliter, quam ex phænomenis motus, id eſt, a poſterio@i,
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            quod ſæpe expertus ſum, judicare licet, ſuſpectum eſſe debet ratiocinium@ſti
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            principio innixum. </s>
            <s xml:id="echoid-s75" xml:space="preserve">Hinc etiam Vir modo laudatus ſententiam ſuam muta-
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            vit in ſecunda Operis ſui editione, rurſuſque aliquantum in tertia, affirmans
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            aquam ad totam quidem altitudinem aſcendere, venam autem, quam efformat,
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            præ foramine contrahi ſeu gracileſcere, atque ſic utrique phænomeno velo-
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            citatis quantitatisque dato tempore effluentis, quæ ſibi contradicere videban-
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            tur, ſatisſaciens. </s>
            <s xml:id="echoid-s76" xml:space="preserve">Quamvis autem contractionem iſtam fili aquei veram eſſe
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            cauſam, ob quam velocitas a@uæ effluentis non poſſit æſtimari ex quanticate,
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            negandum non ſit, puto tamen, Theoriam ipſi non eſſe ſuperinſtruendam,
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            quia accidentalis eſt, nec ſibimet ubique conſtans, dum velocitas non variat
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            niſi a cauſis alienis veluti attritu, tenacitate aquæ, aliisque ſimilibus. </s>
            <s xml:id="echoid-s77" xml:space="preserve">Sic cum
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            aqua non per ſimplex foramen, ſed per tubulum cylindricum effluit, vena
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            notabiliter non contrahitur ſalva velocitate, excepto eo, quod propter attri-
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            tum ei demitur: </s>
            <s xml:id="echoid-s78" xml:space="preserve">ſi quis autem hoc non obſtante putet, ex preſſione poſſe re-
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            cte & </s>
            <s xml:id="echoid-s79" xml:space="preserve">tuto aquarum fluxum deduci, hunc rogarim, ut ad caſus magis com-
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            poſitos animum advertat, v. </s>
            <s xml:id="echoid-s80" xml:space="preserve">gr. </s>
            <s xml:id="echoid-s81" xml:space="preserve">ad fluxum aquæ, quem mira@lem vocat Ma-
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            riottus, ex vaſe, quod diaphragma aliquod foramin@ perforatum in duas ca-
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            vitates aqua implendas diſpeſcit, ſic ut aqu@ per duo foramina transfluere co-
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            gatur: </s>
            <s xml:id="echoid-s82" xml:space="preserve">de hoc motu loquitur Mari@@@us in tractatu ſuo egregio de motu aqua-
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            rum part. </s>
            <s xml:id="echoid-s83" xml:space="preserve">IV. </s>
            <s xml:id="echoid-s84" xml:space="preserve">pag. </s>
            <s xml:id="echoid-s85" xml:space="preserve">m. </s>
            <s xml:id="echoid-s86" xml:space="preserve">442.</s>
            <s xml:id="echoid-s87" xml:space="preserve"/>
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