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

Table of contents

< >
[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.
[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.
< >
page |< < of 361 > >|
    <echo version="1.0RC">
      <text xml:lang="la" type="free">
        <div xml:id="echoid-div175" type="section" level="1" n="136">
          <pb file="0177" n="177" rhead="(163)"/>
        </div>
        <div xml:id="echoid-div176" type="section" level="1" n="137">
          <head xml:id="echoid-head180" xml:space="preserve">
            <emph style="bf">HYDRODYNAMICÆ</emph>
          </head>
          <head xml:id="echoid-head181" xml:space="preserve">
            <emph style="bf">SECTIO NONA.</emph>
          </head>
          <head xml:id="echoid-head182" style="it" xml:space="preserve">De motu fluidorum, quæ non proprio pondere,
            <lb/>
          ſed potentia aliena ejiciuntur, ubi præſertim de
            <lb/>
          Machinis Hydraulicis earundemque ultimo qui da-
            <lb/>
          ri poteſt perfectionis gradu, & quomodo mecha-
            <lb/>
          nica tam ſolidorum quam fluidorum ulterius perſici poſsit.</head>
          <head xml:id="echoid-head183" xml:space="preserve">§. 1.</head>
          <p>
            <s xml:id="echoid-s4752" xml:space="preserve">IN hâc ſectione, qua Machinas examinare hydraulicas, uſumque
              <lb/>
            earum, quantum fieri poteſt, perficere potiſſimum conſtitui,
              <lb/>
            animum abſtrahemus à variationibus motus, quæ originem du-
              <lb/>
            cunt à potentia vel inertia fluidi interni, quia ut vidimus mo-
              <lb/>
            tus aquæ internæ tantum non æquabilis eſt à primo fere fluxus initio, ſi ori-
              <lb/>
            ficium exile ſit, uti eſt in Machinis hydraulicis plerisque ratione amplitudi-
              <lb/>
            num internarum. </s>
            <s xml:id="echoid-s4753" xml:space="preserve">Res enim foret ridicula in rebus practicis ſollicitos eſſe
              <lb/>
            de mutationibus, quæ primis fluxus momentis fiunt, quasque jam determi-
              <lb/>
            navimus in ſectione quarta, quod ibi operæ pretium eſſe poterat ut omnis
              <lb/>
            theoriæ vis inde eluceſceret. </s>
            <s xml:id="echoid-s4754" xml:space="preserve">Igitur durante toto motu, brevitatis gratiâ, po-
              <lb/>
            nemus aquam conſtanter velocitate expelli, quæ ſe habeat ut radix potentiæ
              <lb/>
            internæ prementis, poſtquam hæc potentia ad pondus cylindri aquei foramini
              <lb/>
            ſuperincumbentis reducta fuerit: </s>
            <s xml:id="echoid-s4755" xml:space="preserve">nam quæcunque fuerit iſta potentia, con-
              <lb/>
            ſiderandum erit pondus cylindri verticalis aquei ſuperficiei aqueæ internæ ſu-
              <lb/>
            perincumbentis, atque altitudo iſtius cylindri dabit altitudinem velocitati
              <lb/>
            aquæ exilientis debitam, ſi modo nulla adſint obſtacula extrinſeca, & </s>
            <s xml:id="echoid-s4756" xml:space="preserve">aqua
              <lb/>
            ex@vaſe ampliſſimo ejiciatur. </s>
            <s xml:id="echoid-s4757" xml:space="preserve">Hoc ita intelligendum eſt, ut ſi operculum
              <lb/>
            A B pondere P oneratum (Fig. </s>
            <s xml:id="echoid-s4758" xml:space="preserve">45.) </s>
            <s xml:id="echoid-s4759" xml:space="preserve">aquam per orificium F expellat, pon-
              <lb/>
              <note position="right" xlink:label="note-0177-01" xlink:href="note-0177-01a" xml:space="preserve">Fig. 45.</note>
            dus autem P æquale ſit ponderi cylindri aquei H A B I, tunc vena aquea F G
              <lb/>
            altitudinem H I attingere debeat.</s>
            <s xml:id="echoid-s4760" xml:space="preserve"/>
          </p>
        </div>
      </text>
    </echo>