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

Table of contents

< >
[91.] Exemplum 1.
[92.] Exemplum 2.
[93.] De oſcillationibus fluidorum in tubisrecurvis. Caſus II.
[94.] Lemma.
[95.] Solutio.
[96.] Problema.
[97.] Solutio.
[98.] Corollarium 1.
[99.] Corollarium 2.
[100.] Corollarium 3.
[101.] Corollarium 4.
[102.] Theorema.
[103.] Demonſtratio.
[104.] Problema.
[105.] Solutio.
[106.] Corollarium. 1.
[107.] Corollarium 2.
[108.] Scholion.
[109.] Theorema.
[110.] Demonſtratio.
[111.] Problema.
[112.] Solutio.
[113.] Scholium.
[114.] Corollarium 1.
[115.] Corollarium 2.
[116.] Scholion Generale.
[117.] HYDRODYNAMICÆ SECTIO SEPTIMA. De motu aquarum per vaſa ſubmerſa, ubi exem-plis oſtenditur, quam inſigniter utile ſit princi-pium conſervationis virium vivarum, veliis in caſibus, quibus continue aliquid de illis perdi cenſendum eſt. PARS PRIMA. De deſcenſu aquarum. §. 1.
[118.] PARS SECUNDA. De aſcenſu aquarum.
[119.] Corollarium.
[120.] Scholium Generale.
< >
page |< < (82) of 361 > >|
    <echo version="1.0RC">
      <text xml:lang="la" type="free">
        <div xml:id="echoid-div83" type="section" level="1" n="59">
          <p>
            <s xml:id="echoid-s2243" xml:space="preserve">
              <pb o="82" file="0096" n="96" rhead="HYDRODYNAMICÆ"/>
            ſat celerem, effluxuſque valde retardatur, eoque magis, quo celerius aqua
              <lb/>
            interna in Gyrum agitur: </s>
            <s xml:id="echoid-s2244" xml:space="preserve">quia porro nunquam omnis aqua effluit, effluxus
              <lb/>
            tempus conſideravi, uſquedum ſtillatim effluere inciperet.</s>
            <s xml:id="echoid-s2245" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s2246" xml:space="preserve">Indicat hoc experimentum minorem hic aquæ fuiſſe contractionem
              <lb/>
            quam pro ratione √2 ad 1; </s>
            <s xml:id="echoid-s2247" xml:space="preserve">Expectaveram tempus evacuationis fore admodum
              <lb/>
            23. </s>
            <s xml:id="echoid-s2248" xml:space="preserve">min. </s>
            <s xml:id="echoid-s2249" xml:space="preserve">ſec. </s>
            <s xml:id="echoid-s2250" xml:space="preserve">ſed eventus paullo alius fuit ut dixi, cujus rei rationem eſſe poſt-
              <lb/>
            modum animadverti, quod labia foraminis elongata tubulum fere quamvis
              <lb/>
            breviſſimum formarent, ut Figura oſtendit, qui venæ aqueæ contractionem
              <lb/>
            impediebat: </s>
            <s xml:id="echoid-s2251" xml:space="preserve">interim latitudo iſtorum labiorum duas tertias lineæ non attin-
              <lb/>
            gebat.</s>
            <s xml:id="echoid-s2252" xml:space="preserve"/>
          </p>
        </div>
        <div xml:id="echoid-div85" type="section" level="1" n="60">
          <head xml:id="echoid-head81" xml:space="preserve">Experimentum 5.</head>
          <p>
            <s xml:id="echoid-s2253" xml:space="preserve">Feci ut aquæ ex vaſe ampliſſimo per tubulum effluerent horizontali-
              <lb/>
            ter: </s>
            <s xml:id="echoid-s2254" xml:space="preserve">erat autem tubus breviſſimus, longitudinem nempe 3. </s>
            <s xml:id="echoid-s2255" xml:space="preserve">lin. </s>
            <s xml:id="echoid-s2256" xml:space="preserve">non excedens,
              <lb/>
            habebatque in diametro fere 5. </s>
            <s xml:id="echoid-s2257" xml:space="preserve">lin.</s>
            <s xml:id="echoid-s2258" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s2259" xml:space="preserve">Effluxit data aquæ quantitas tempore 11 {1/4} min. </s>
            <s xml:id="echoid-s2260" xml:space="preserve">ſec. </s>
            <s xml:id="echoid-s2261" xml:space="preserve">quæ effluere debuiſ-
              <lb/>
            ſet tempore 10 {2/3} min. </s>
            <s xml:id="echoid-s2262" xml:space="preserve">ſec. </s>
            <s xml:id="echoid-s2263" xml:space="preserve">ſi neque contractam fuiſſe venam, neque ulla adfuiſſe
              <lb/>
            impedimenta ſtatuatur.</s>
            <s xml:id="echoid-s2264" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s2265" xml:space="preserve">Velocitates reales aquæ non cenſui opus eſſe ut experirer, nullus du-
              <lb/>
            bitans tales fuiſſe, quales eſſe debeant, ut obſervato tempore per obſervatum
              <lb/>
            orificium data quantitas aquæ, nulla facta ad contractionem venæ attentione,
              <lb/>
            efflueret.</s>
            <s xml:id="echoid-s2266" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s2267" xml:space="preserve">Alios inſuper alîus diametri longitudinisque adhibui tubulos & </s>
            <s xml:id="echoid-s2268" xml:space="preserve">vidi
              <lb/>
            quantitates aquæ dato tempore datisque velocitatibus effluentis recte reſponde-
              <lb/>
            re orficiis effluxus: </s>
            <s xml:id="echoid-s2269" xml:space="preserve">velocitates autem eo magis defeciſſe à velocitate integræ
              <lb/>
            altitudini aquæ debita, quo ſtrictior & </s>
            <s xml:id="echoid-s2270" xml:space="preserve">quo longior erat tubus, ut & </s>
            <s xml:id="echoid-s2271" xml:space="preserve">quo altior
              <lb/>
            erat aqua.</s>
            <s xml:id="echoid-s2272" xml:space="preserve"/>
          </p>
        </div>
        <div xml:id="echoid-div86" type="section" level="1" n="61">
          <head xml:id="echoid-head82" style="it" xml:space="preserve">Ad Theoriam aquarum per tubos effluentium.</head>
          <head xml:id="echoid-head83" xml:space="preserve">Experimentum 6.</head>
          <p>
            <s xml:id="echoid-s2273" xml:space="preserve">Vaſa, quorum ſectiones per axem repreſentant Fig. </s>
            <s xml:id="echoid-s2274" xml:space="preserve">24. </s>
            <s xml:id="echoid-s2275" xml:space="preserve">& </s>
            <s xml:id="echoid-s2276" xml:space="preserve">25. </s>
            <s xml:id="echoid-s2277" xml:space="preserve">cylin-
              <lb/>
            drica, altitudinem habebant 4. </s>
            <s xml:id="echoid-s2278" xml:space="preserve">poll. </s>
            <s xml:id="echoid-s2279" xml:space="preserve">Angl. </s>
            <s xml:id="echoid-s2280" xml:space="preserve">tubosque annexos longitudinis unius
              <lb/>
            pedis, amplitudines cylindrorum erant ad amplitudines orificiorum A, ut </s>
          </p>
        </div>
      </text>
    </echo>