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

Table of handwritten notes

< >
< >
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>
Impressum