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

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            <s xml:id="echoid-s228" xml:space="preserve">
              <pb o="9" file="0023" n="23" rhead="SECTIO PRIMA."/>
            firmet: </s>
            <s xml:id="echoid-s229" xml:space="preserve">de eorum veritate enim experimenta inſtituta me amplius dubitare
              <lb/>
            non ſinunt. </s>
            <s xml:id="echoid-s230" xml:space="preserve">Non deeſt autem hiſce meditatis ſua utilitas, quandoquidem
              <lb/>
            magni momenti eſſe poſſint in perficiendis machinis hydraulicis.</s>
            <s xml:id="echoid-s231" xml:space="preserve"/>
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          <p>
            <s xml:id="echoid-s232" xml:space="preserve">§. </s>
            <s xml:id="echoid-s233" xml:space="preserve">12. </s>
            <s xml:id="echoid-s234" xml:space="preserve">Sequuntur commentationes de machinis hydraulicis, quibus potis-
              <lb/>
            ſimum monſtratur, certum quendam perfectionis terminum eſſe, ultra quem
              <lb/>
            ire non liceat; </s>
            <s xml:id="echoid-s235" xml:space="preserve">defectus autem ab ultimo hoc perfectionis gradu in multis ma-
              <lb/>
            chinis maxime receptis calculo numerico ſubjiciuntur, additis regulis ſeu
              <lb/>
            præceptis, ad quæ in conſtruendis novis machinamentis animus ſit adverten-
              <lb/>
            dus: </s>
            <s xml:id="echoid-s236" xml:space="preserve">exempli loco affertur notiſſima per totum orbem machina Marlyenſis,
              <lb/>
            de qua monſtratur, ſi modo deſcriptionibus fidendum ſit, quod non ultra
              <lb/>
            quinquageſimam ſextam prope partem ſuppeditet ejus aquæ quantitatis, quam
              <lb/>
            cæteris paribus machina perfectiſſima theoretice ſubminiſtrare queat. </s>
            <s xml:id="echoid-s237" xml:space="preserve">Specia-
              <lb/>
            le etiam examen inſtituitur de machina ab antiquiſſimis temporibus ad no-
              <lb/>
            ſtram uſque ætatem uſitatiſſima, Cochlea nimirum Archimedis, attentione
              <lb/>
            Geometrarum non indigna, tam ratione eorum, quæ ad Geometriam puram,
              <lb/>
            quam quæ ad Hydraulicam pertinent.</s>
            <s xml:id="echoid-s238" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s239" xml:space="preserve">§. </s>
            <s xml:id="echoid-s240" xml:space="preserve">13. </s>
            <s xml:id="echoid-s241" xml:space="preserve">Succedunt ſpecimina quædam de motu fluidorum elaſticorum,
              <lb/>
            veluti aëris & </s>
            <s xml:id="echoid-s242" xml:space="preserve">pulveris pyrii accenſi, præmisſis iis, quæ ad naturam horum
              <lb/>
            fluidorum pertinent; </s>
            <s xml:id="echoid-s243" xml:space="preserve">quæ vero ipſe non aliter, quam ut hypotheſes phyſicas
              <lb/>
            conſidero, de quibus nihil confidenter affirmabo. </s>
            <s xml:id="echoid-s244" xml:space="preserve">Propoſitiones & </s>
            <s xml:id="echoid-s245" xml:space="preserve">Problema-
              <lb/>
            ta hujus ſectionis nova ſunt, & </s>
            <s xml:id="echoid-s246" xml:space="preserve">eo ſelecta animo, ut multis quæſtionibus phy-
              <lb/>
            ſicis illuſtrandis, aut etiam ſolvendis occaſionem præbere posſint. </s>
            <s xml:id="echoid-s247" xml:space="preserve">Adjiciun-
              <lb/>
            tur quædam de æſtimatione virium vivarum fluidis elaſticis inſitarum, quæ
              <lb/>
            aliquando fortaſſe in praxi mechanica nonnullius uſus erunt: </s>
            <s xml:id="echoid-s248" xml:space="preserve">monſtratur enim,
              <lb/>
            unius v. </s>
            <s xml:id="echoid-s249" xml:space="preserve">gr. </s>
            <s xml:id="echoid-s250" xml:space="preserve">libræ pulveris pyrii accenſi effectum in elevandis ponderibus ma-
              <lb/>
            jorem eſſe poſſe, quam vel centum homines robuſtisſimi labore continuo in-
              <lb/>
            tra unius diei ſpatium efficere posſint.</s>
            <s xml:id="echoid-s251" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s252" xml:space="preserve">§. </s>
            <s xml:id="echoid-s253" xml:space="preserve">14. </s>
            <s xml:id="echoid-s254" xml:space="preserve">Agitur porro de fluidorum motu circulari, ut & </s>
            <s xml:id="echoid-s255" xml:space="preserve">de fluidis, quæ
              <lb/>
            in vaſis motis ſtagnant; </s>
            <s xml:id="echoid-s256" xml:space="preserve">variaque alia intermiſcentur. </s>
            <s xml:id="echoid-s257" xml:space="preserve">Quæ autem de motu
              <lb/>
            circulari proferuntur, inſervire quodammodo poſſunt ad phænomena gravi-
              <lb/>
            tatis per vortices explicanda; </s>
            <s xml:id="echoid-s258" xml:space="preserve">cætera valeant, quantum poterunt.</s>
            <s xml:id="echoid-s259" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s260" xml:space="preserve">§. </s>
            <s xml:id="echoid-s261" xml:space="preserve">15. </s>
            <s xml:id="echoid-s262" xml:space="preserve">Præmiſſa Theoria motuum, rurſus ad æquilibria fluidorum deſcen-
              <lb/>
            ditur, ſed fluidorum motorum, quorum leges exhibitæ nondum fuerunt.
              <lb/>
            </s>
            <s xml:id="echoid-s263" xml:space="preserve">Mirum eſt, cum alias motus ex presſione definiatur, hic inverſa methodo </s>
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