Borelli, Giovanni Alfonso, De motionibus naturalibus a gravitate pendentibus, 1670

Table of figures

< >
< >
page |< < of 579 > >|
    <archimedes>
      <text>
        <body>
          <chap>
            <p type="main">
              <s id="s.002401">
                <pb pagenum="458" xlink:href="010/01/466.jpg"/>
                <arrow.to.target n="marg617"/>
                <lb/>
              fiſtula putei, & hæc eſt ratio quare in anguſtiſſimis fi­
                <lb/>
              ſtulis, & canalibus tenuiſſimis aqua nedùm tardè de­
                <lb/>
              fluit, ſed aliquando omninò eius motus, & caſus im­
                <lb/>
              peditur, vt ſuperiùs declarauimus. </s>
            </p>
            <p type="margin">
              <s id="s.002402">
                <margin.target id="marg617"/>
              Cap. 11. gra­
                <lb/>
              uia in fluido
                <lb/>
              velocitati­
                <lb/>
              bus inæqua­
                <lb/>
              libus ferri
                <lb/>
              debere.</s>
            </p>
            <p type="main">
              <s id="s.002403">
                <emph type="center"/>
              PROP. CCXVIII.
                <emph.end type="center"/>
              </s>
            </p>
            <p type="main">
              <s id="s.002404">
                <emph type="center"/>
                <emph type="italics"/>
              In eiſdem fiſtulis inæqualitèr ad horizontem inclinatis velo­
                <lb/>
              citates aquæ fluentis ſubduplicatam proportionem
                <expan abbr="habẽt">habent</expan>
              ,
                <lb/>
              non longitudinum, ſed ſublimitatum perpendicularium
                <lb/>
              carum.
                <emph.end type="italics"/>
                <emph.end type="center"/>
              </s>
            </p>
            <p type="main">
              <s id="s.002405">POſtea ſi eædem duæ fiſtulæ inæqualitèr ad hori­
                <lb/>
              zontem fuerint inclinatæ, fluxus eiuſdem fluidi
                <lb/>
              in eis fient velocitatibus ſubduplicatè proportiona­
                <lb/>
              libus, non quidem longitudinibus earum, ſed vertica­
                <lb/>
              libus altitudinibus; propterea quod demonſtrarunt
                <lb/>
                <arrow.to.target n="marg618"/>
                <lb/>
              Galileus, & Torricellius, quòd ſi idem mobile fera­
                <lb/>
              tur per planum inclinatum, & verticale, itaut ambo
                <lb/>
              eamdem eleuationem habeant, ſi tamen
                <expan abbr="initiũ">initium</expan>
              vtriuſ­
                <lb/>
              que motus à quiete fiat, in fine vtriuſque deſcenſus,
                <lb/>
              acquiret mobile eumdem gradum velocitatis. </s>
              <s id="s.002406">Hinc
                <lb/>
              conſtat, quòd in duabus fiſtulis inæqualitèr ad hori­
                <lb/>
              zontem inclinatis velocitates quibus idem fluidum̨
                <lb/>
              ab infimis orificijs egreditur, correſpondere quidem
                <lb/>
              debeant non longitudinibus fiſtularum, ſed earum̨
                <lb/>
              eleuationibus. </s>
            </p>
            <p type="margin">
              <s id="s.002407">
                <margin.target id="marg618"/>
              Galil. de mo­
                <lb/>
              tu grauium
                <lb/>
              deſcend. </s>
              <s id="s.002408">lib.
                <lb/>
              2. ſcol. </s>
              <s id="s.002409">pr. 2
                <lb/>
              & Tor. lib. 1.
                <lb/>
              prop. 5.</s>
            </p>
            <p type="main">
              <s id="s.002410">
                <emph type="center"/>
              PROP. CCXIX.
                <emph.end type="center"/>
              </s>
            </p>
            <p type="main">
              <s id="s.002411">
                <emph type="center"/>
                <emph type="italics"/>
              Velocitates quibus aqua egreditur ab infimis fiſtularum ori­
                <lb/>
              ficijs illæ eædem ſunt, quibus eadem aqua intra cauitates
                <lb/>
              canalium mouetur.
                <emph.end type="italics"/>
                <emph.end type="center"/>
              </s>
            </p>
            <p type="main">
              <s id="s.002412">OVia ſemper æqualibus temporibus æquales a-</s>
            </p>
          </chap>
        </body>
      </text>
    </archimedes>
Impressum