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

Table of contents

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[21.] Caſus I.
[22.] Caſus II.
[23.] Sequuntur Experimenta quæ ad Sectionem pertinent Secundam. Ad §. 5.
[24.] HYDRODYNAMICÆ SECTIO TERTIA. De velocitatibus fluidorum ex vaſe utcumque for-mato per lumen qualecunque effluentium. §. 1.
[25.] Problema.
[26.] Solutio.
[27.] Problema.
[28.] Solutio.
[29.] Scholion.
[30.] Problema.
[31.] Solutio.
[32.] Problema.
[33.] Solutio.
[34.] Problema.
[35.] Solutio.
[36.] Corollarium 1.
[37.] Corollarium 2.
[38.] Corollarium 3.
[39.] Scholium Generale.
[40.] De his quæ pertinent ad effluxum aquarum ex Cy-lindris verticaliter poſitis, per Lumen quod-cunque, quod eſt in fundo horizontali. §. 13.
[41.] De Effluxu Aquarum ex Cylindris verticaliter po-ſitis, qui in alios tubos ſtrictiores pariter verticales deſinunt. §. 21.
[42.] Problema.
[43.] Solutio.
[44.] Problema.
[45.] Solutio.
[46.] Scholium.
[47.] Experimenta quæ ad Sect. 3. pertinent. Prænotanda.
[48.] Lemma.
[49.] De Velocitatibus maximis fluidorum per foramina valde ampla effluentium. Ad §. 16. & 20. Experimentum Primum.
[50.] De velocitate aquæ ex vaſe ampliſſimo erumpentis. Ad §. 17.
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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"/>
          </p>
          <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-
              <lb/>
            tia tum defectu volui in anteceſſum monere. </s>
            <s xml:id="echoid-s402" xml:space="preserve">Supereſt ut quædam dicam de
              <lb/>
            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
              <lb/>
            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-
              <lb/>
            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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