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

Table of handwritten notes

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            <emph style="bf">HYDRODYNAMICÆ</emph>
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          SECTIO TERTIA.</head>
          <head xml:id="echoid-head32" style="it" xml:space="preserve">De velocitatibus fluidorum ex vaſe utcumque for-
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          mato per lumen qualecunque effluentium.</head>
          <head xml:id="echoid-head33" xml:space="preserve">§. 1.</head>
          <p>
            <s xml:id="echoid-s829" xml:space="preserve">PRiusquam motum aquarum à gravitate propria ortum definire
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            tentemus, ruminabimur quod in Sectione prima §. </s>
            <s xml:id="echoid-s830" xml:space="preserve">§. </s>
            <s xml:id="echoid-s831" xml:space="preserve">18. </s>
            <s xml:id="echoid-s832" xml:space="preserve">19.
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            </s>
            <s xml:id="echoid-s833" xml:space="preserve">20. </s>
            <s xml:id="echoid-s834" xml:space="preserve">21. </s>
            <s xml:id="echoid-s835" xml:space="preserve">& </s>
            <s xml:id="echoid-s836" xml:space="preserve">22. </s>
            <s xml:id="echoid-s837" xml:space="preserve">à nobis allatum fuit de principiis ad hoc adhi-
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            bendis.</s>
            <s xml:id="echoid-s838" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s839" xml:space="preserve">Recordabimur nempe aſcenſum potentialem Syſtematis, cujus ſingulæ
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            partes velocitate qualicunque moventur, ſignificare altitudinem verticalem,
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            ad quam centrum gravitatis illius Syſtematis pervenit, ſi ſingulæ particulæ
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            motu ſurſu@ converſo ſua velocitate, quantum poſſunt, aſcendere intelli-
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            gantur, & </s>
            <s xml:id="echoid-s840" xml:space="preserve">deſcenſum actualem denotare altitudinem verticalem, per quam
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            centrum gravitatis deſcendit, poſtquam ſingulæ particulæ in quiete fuerant.
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            </s>
            <s xml:id="echoid-s841" xml:space="preserve">Tum etiam memores erimus neceſſario aſcenſum potentialem æqualem eſſe
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            deſcenſui actuali, quando omnis motus in materia ſubſtrata hæret, nihilque
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            de eo in materiam inſenſibilem aut aliam ad ſyſtema non pertinentem tran-
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            ſit, & </s>
            <s xml:id="echoid-s842" xml:space="preserve">denique motum fluidorum talem proxime eſſe, ut ubique veloci-
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            tas reciproce ſit proportionalis amplitudini vaſis reſpondenti, quâ de re ſuo
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            loco alia quædam interjiciemus. </s>
            <s xml:id="echoid-s843" xml:space="preserve">Nunc convenit examinare ſequentem pro-
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            poſitionem.</s>
            <s xml:id="echoid-s844" xml:space="preserve"/>
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          <head xml:id="echoid-head34" xml:space="preserve">Problema.</head>
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            <s xml:id="echoid-s845" xml:space="preserve">§. </s>
            <s xml:id="echoid-s846" xml:space="preserve">2. </s>
            <s xml:id="echoid-s847" xml:space="preserve">Si aqua per canalem utcunque formatum fluat, ejusque ve-
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            locitas cognita ſit aliquo in loco, invenire aſcenſum potentialem omnis aquæ
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            in canali contentæ.</s>
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