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

Table of contents

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[51.] De vaſis quæ ſunt Tubis verticalibus inſtructa. Ad §. 22. & 23.
[52.] De iisdem vaſis, quibus tubi horizontales inſeruntur. Ad §. 24.
[53.] De canalibus recurvis. Ad §. 27.
[54.] HYDRODYNAMICÆ SECTIO QUARTA. De variis temporibus, quæ in effluxu aquarum deſiderari poſſunt. §. 1.
[55.] Experimenta quœ ad Sect. IV. pertinent.
[56.] Ad Theoriam Contractionis Venarum aquearum Experimentum 1.
[57.] Experimentum 2.
[58.] Experimentum 3.
[59.] Experimentum 4.
[60.] Experimentum 5.
[61.] Ad Theoriam aquarum per tubos effluentium. Experimentum 6.
[62.] Experimentum 7.
[63.] Experimentum 8.
[64.] Ad theoriam aquarum, quæ ex vaſis ampliſsi-mis à puncto quietis usque ad datum veloci-tatis gradum effluunt. Experimentum 9.
[65.] Experimentum 10.
[66.] Experimentum 11.
[67.] Experimentum 12.
[68.] HYDRODYNAMICÆ SECTIO QUINTA. De motu aquarum ex vaſis conſtanter plenis. §. 1.
[69.] Problema.
[70.] Solutio.
[71.] Caſus 1.
[72.] Caſus II.
[73.] Scholion 1.
[74.] Scholion 2.
[75.] Scholion 3.
[76.] Scholion 4.
[77.] Corollarium 1.
[78.] Corollarium 3.
[79.] Corollarium 4.
[80.] Problema.
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            <s xml:id="echoid-s382" xml:space="preserve">
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            quantum & </s>
            <s xml:id="echoid-s383" xml:space="preserve">illuſtrare & </s>
            <s xml:id="echoid-s384" xml:space="preserve">confirmare poterunt: </s>
            <s xml:id="echoid-s385" xml:space="preserve">eorum quidem in ipſo opere
              <lb/>
            plurima occurrent, quæ autem ob calculum, quem poſtulant, non allegabo.
              <lb/>
            </s>
            <s xml:id="echoid-s386" xml:space="preserve">Triviale autem & </s>
            <s xml:id="echoid-s387" xml:space="preserve">obvium eſt, quod de gutta, in aquam ſtagnantem delapſa,
              <lb/>
            obſervatur: </s>
            <s xml:id="echoid-s388" xml:space="preserve">orbes nempe excitat in ſuperficie aquæ ſtagnantis, horumque eo
              <lb/>
            plures, quo vel major fuerit gutta, vel altius delapſa, nec dubium eſt, quin
              <lb/>
            iſti orbes ſine fine ſe propagaturi eſſent, niſi tenacitas fluidi, aliaque ſimilia
              <lb/>
            obſtaculo eſſent. </s>
            <s xml:id="echoid-s389" xml:space="preserve">Quandoque etiam alium effectum ab hujusmodi ſtillis ob-
              <lb/>
            ſervare licet, dum plures guttulæ minores a ſuperficie aquæ inferioris in al-
              <lb/>
            tum projiciuntur, tuncque conſtanter apparet, quod præſertim huc pertinet,
              <lb/>
            eo altius aſſurgere guttulas, quo pauciores numero atque minores volumine
              <lb/>
            fuerint, & </s>
            <s xml:id="echoid-s390" xml:space="preserve">cum altitudo lapſus eſſet duorum pedum, ſæpius guttulæ minores
              <lb/>
            ultra altitudinem lapſus aſcendebant, ſtillante præſertim aqua per foramen
              <lb/>
            magnum. </s>
            <s xml:id="echoid-s391" xml:space="preserve">Hic notatu quoque dignum eſt illud, quod de particula aquæ per
              <lb/>
            canalem tenuem, eumque v. </s>
            <s xml:id="echoid-s392" xml:space="preserve">gr. </s>
            <s xml:id="echoid-s393" xml:space="preserve">horizontalem, atque in ea extremitate, ver-
              <lb/>
            ſus quam aqua fluit, operculo perforato opertum obſervatur. </s>
            <s xml:id="echoid-s394" xml:space="preserve">Scilicet eo
              <lb/>
            temporis puncto, quo aqua ad operculum usque pervenit, magno impetu
              <lb/>
            paucæ guttulæ exiliunt, moxque omnis aquæ motus ſiſtitur; </s>
            <s xml:id="echoid-s395" xml:space="preserve">facile autem quis
              <lb/>
            ſuſpicari poſſet, aquam foramini imminentem ſua velocitate moveri pergere,
              <lb/>
            reliquam ſiſti, id vero conſervationi virium vivarum minime reſponderet; </s>
            <s xml:id="echoid-s396" xml:space="preserve">re-
              <lb/>
            ſpondet autem egregie vehemens iſte aquæ effluxus momentaneus, vel quaſi
              <lb/>
            exploſio: </s>
            <s xml:id="echoid-s397" xml:space="preserve">de his alibi plura.</s>
            <s xml:id="echoid-s398" xml:space="preserve"/>
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          <p>
            <s xml:id="echoid-s399" xml:space="preserve">§. </s>
            <s xml:id="echoid-s400" xml:space="preserve">24. </s>
            <s xml:id="echoid-s401" xml:space="preserve">Hæc ſunt, quæ de hypotheſibus noſtris, earumque tum præſtan-
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            tia tum defectu volui in anteceſſum monere. </s>
            <s xml:id="echoid-s402" xml:space="preserve">Supereſt ut quædam dicam de
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            indole fluidorum, quippe circa quæ lucubrationes noſtræ verſabuntur, non
              <lb/>
            quod eam me aliis magis perſpectam habere putem, ſed quod nefas exiſti-
              <lb/>
            mem, a more hoc ſcriptoribus omnibus ſolenni recedere. </s>
            <s xml:id="echoid-s403" xml:space="preserve">Et primo quidem
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            hoc omnes convenire ſolent, motum fluidis quibusvis ineſſe inteſtinum, ſine
              <lb/>
            quo nemo profecto tantam fluiditatem, efferveſcentias diverſorum fluidorum,
              <lb/>
            diſſolutiones ſolidorum fluidis ſubmerſorum, evaporationes, aliaque phæno-
              <lb/>
            mena infinita recte aſſequetur; </s>
            <s xml:id="echoid-s404" xml:space="preserve">hinc pleræque res ſolidiſſimæ a ſufficiente ca-
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            lore, qui omnia in motum rapit, liqueſcunt: </s>
            <s xml:id="echoid-s405" xml:space="preserve">facit autem motus iſte inteſti-
              <lb/>
            nus, ut particulæ ſibi non ſint contiguæ, ſed quaſi volitent, quo fit, ut ſine
              <lb/>
            frictione a minimo impulſu loco cedant, quod minime ſuccederet, poſitis
              <lb/>
            iisdem particulis inter ſe, ſicut in acervo arenæ, contiguis. </s>
            <s xml:id="echoid-s406" xml:space="preserve">Ita facile </s>
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