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

Table of contents

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[121.] EXPERIMENTA Ad ſect. ſept. referenda. Experimentum 1.
[122.] Experimentum 2.
[123.] Experimentum 3.
[124.] De iſto tubo experimentum ita ſumſi:
[125.] Experimentum 4.
[126.] Experimentum 5.
[127.] HYDRODYNAMICÆ SECTIO OCTAVA. De motu fluidorum cum homogeneorum tum hetero-geneorum per vaſa irregularis & præruptæ ſtru-cturæ, ubi ex theoria virium vivarum, quarum pars continue abſorbeatur, explicantur præcipue Phæno-mena ſingularia fluidorum, per plurima foramina trajecto-rum, præmiſsis regulis generalibus pro motibus fluido-rum ubique definiendis. §. 1.
[128.] Regula 1.
[129.] Regula 2.
[130.] Problema.
[131.] Solutio.
[132.] Scholium 1.
[133.] Scholium 2.
[134.] Corollarium.
[135.] EXPERIMENTA Ad ſectionem octavam pertinentia. Experimentum 1.
[136.] Experimentum 2.
[137.] HYDRODYNAMICÆ SECTIO NONA. De motu fluidorum, quæ non proprio pondere, ſed potentia aliena ejiciuntur, ubi præſertim de Machinis Hydraulicis earundemque ultimo qui da-ri poteſt perfectionis gradu, & quomodo mecha-nica tam ſolidorum quam fluidorum ulterius perſici poſsit. §. 1.
[138.] Definitiones.
[139.] (A) De machinis aquas cum impetu in altum projicientibus. Regula 1.
[140.] Demonſtratio.
[141.] Scholium.
[142.] Regula 2.
[143.] Demonſtratio.
[144.] Scholium.
[145.] Regula 3.
[146.] Demonſtratio.
[147.] Scholium.
[148.] Regula 4.
[149.] Demonſtratio.
[150.] Scholium.
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            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"/>
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        <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>
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            <s xml:id="echoid-s2265" xml:space="preserve">Velocitates reales aquæ non cenſui opus eſſe ut experirer, nullus du-
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            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"/>
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        <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-
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            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>
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