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

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            <s xml:id="echoid-s145" xml:space="preserve">
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            crementa ab illis ſperari poſſint aut debeant. </s>
            <s xml:id="echoid-s146" xml:space="preserve">Breviter igitur, quantum po-
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            tero, momenta operis ſuſcepti indicabo.</s>
            <s xml:id="echoid-s147" xml:space="preserve"/>
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          <p>
            <s xml:id="echoid-s148" xml:space="preserve">§. </s>
            <s xml:id="echoid-s149" xml:space="preserve">7. </s>
            <s xml:id="echoid-s150" xml:space="preserve">Exhibentur primo loco Theoremata præcipua, quæ ad æquili-
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            brium fluidorum ſtagnantium pertinent: </s>
            <s xml:id="echoid-s151" xml:space="preserve">viſa mihi fuit inſtituti ratio id poſtu-
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            lare, quamvis libenter fatear, nullas a me novas adjectas fuiſſe propoſitiones:
              <lb/>
            </s>
            <s xml:id="echoid-s152" xml:space="preserve">Demonſtrandi quidem modus, quantum ſcio, mihi proprius eſt, ſed cum facile
              <lb/>
            ſit, innumeras ſibi fingere demonſtrationes, parum eſt, hac quoque in parte,
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            quod mihi arrogo. </s>
            <s xml:id="echoid-s153" xml:space="preserve">Phænomena præterea aliqua tubulorum capillarium obi-
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            ter recenſentur, & </s>
            <s xml:id="echoid-s154" xml:space="preserve">denique occaſione preſſionis, quam fluida in latera vaſis
              <lb/>
            exercent, Theoremata varia & </s>
            <s xml:id="echoid-s155" xml:space="preserve">nonnulla nova adduntur, circa figuram veſica-
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            rum liquore impletarum, circa earundem potentias ad onera elevanda, circa
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            conſtructionem & </s>
            <s xml:id="echoid-s156" xml:space="preserve">firmitatem aquæductuum, aliaque affinia.</s>
            <s xml:id="echoid-s157" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s158" xml:space="preserve">§. </s>
            <s xml:id="echoid-s159" xml:space="preserve">8. </s>
            <s xml:id="echoid-s160" xml:space="preserve">Agitur poſtea de motu fluidorum ex vaſe effluentium, & </s>
            <s xml:id="echoid-s161" xml:space="preserve">cum om-
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            nes, qui hactenus de hacre egerunt, caſum unicum maxime obvium, quo
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            foramen ratione amplitudinis vaſis internæ infinite parvum cenſetur, in Theo-
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            ri
              <unsure/>
            a ſua conſideraverint, noſtra non parum commendatur ſua latitudine; </s>
            <s xml:id="echoid-s162" xml:space="preserve">ex-
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            tendit enim ſe ad poſitionem foraminis cujuſcunque magnitudinis, imo & </s>
            <s xml:id="echoid-s163" xml:space="preserve">
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            vaſis cujuscunque figuræ. </s>
            <s xml:id="echoid-s164" xml:space="preserve">Quamvis enim figuræ vaſis internæ conſideratio mi-
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            nime requiritur, cum foramen ut infinite parvum conſiderari poteſt, attamen
              <lb/>
            ſine illa motus aquæ definiri nequit, cum eſt notabilis magnitudinis. </s>
            <s xml:id="echoid-s165" xml:space="preserve">Ex Theo-
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            ria generali corollaria deducuntur, quæ motum aquarum variabilem ejusdem-
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            que affectiones egregie illuſtrant, confirmantque, quicquid aut experientia do-
              <lb/>
            cuit, aut rei attributiones per ſe manifeſte indicant. </s>
            <s xml:id="echoid-s166" xml:space="preserve">Docet quidem Theoria,
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            quando amplitudines internæ vel mediocriter ſuperant amplitudinem luminis,
              <lb/>
            errorem eſſe inſen@@@@em, qui ex conſideratione foraminis ut infinite parvi
              <lb/>
            naſcitur, atque ſic noſtræ additiones nonnullis fortaſſe videbuntur ſatis inutiles.
              <lb/>
            </s>
            <s xml:id="echoid-s167" xml:space="preserve">Hos vero, ſi modo qui futuri ſint, @@@@m cogitare velim, præter quod non ſo-
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            lum aquariis ſcribo, ſed & </s>
            <s xml:id="echoid-s168" xml:space="preserve">Geometris, qui veritatibus
              <unsure/>
            nudis etiam delectan-
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            tur, uſum noſtrarum meditationum aliis in rebus maximum eſſe, quod magis
              <lb/>
            intelligent, cum perpenderint, motum incipere a quiete, & </s>
            <s xml:id="echoid-s169" xml:space="preserve">per infinitos tran-
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            ſire gradus, priuſquam certam celeritatem obtineat, maximas mutationes ſæ-
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            pe quidem tam brevi fieri temporis momento, ut ſenſibus nullo plane modo
              <lb/>
            percipi poſſint, determinandas tamen eſſe ad ſingula puncta, tum ut motus
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            animo recte percipiatur, tum quia exinde varia deduci poſſunt Theoremata.</s>
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