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

Page concordance

< >
< >
page |< < of 579 > >|
    <archimedes>
      <text>
        <body>
          <chap>
            <p type="main">
              <s id="s.002468">
                <pb pagenum="468" xlink:href="010/01/476.jpg"/>
                <arrow.to.target n="marg638"/>
                <lb/>
              cialis, cuius fulcimentum eſt circuli periphęria ra­
                <lb/>
              dio EB deſcripta. </s>
            </p>
            <p type="margin">
              <s id="s.002469">
                <margin.target id="marg638"/>
              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.002470">Et hoc ſemper verum eſſe videtur in vaſis amplis,
                <lb/>
              ſi tamen ſolida aſcendentia figuram oblongam, & æ­
                <lb/>
              què craſſam habuerint, ſcilicèt ſi fuerint priſmatą,
                <lb/>
              vel cylindri, in figuris verò conicis, vel incuruatis
                <lb/>
              varietas aliqua reperitur, vt inferiùs patebit. </s>
            </p>
            <p type="main">
              <s id="s.002471">
                <emph type="center"/>
              PROP. CCXXVI.
                <emph.end type="center"/>
              </s>
            </p>
            <p type="main">
              <s id="s.002472">
                <emph type="center"/>
                <emph type="italics"/>
              E contra in vaſis valdè reſtrictis, & angustis amplitudo ſi­
                <lb/>
              phonis aquei ſolidum ambientis, & deorsùm fluentis mi­
                <lb/>
              nor eſſe debet baſi eiuſdem ſolidi, ſed contrario ordine re­
                <lb/>
              ſpondere debent ſuis velocitatibus.
                <emph.end type="italics"/>
                <emph.end type="center"/>
              </s>
            </p>
            <p type="main">
              <s id="s.002473">PRo cuius intelligentia ſupponatur fiſtula, ſeù ſtri­
                <lb/>
              ctum vas
                <expan abbr="vitreẽ">vitreum</expan>
              cylindricum RSTX aqua ple­
                <lb/>
              num, & in eo immergatur ligneus cylindrus ABCD,
                <lb/>
              cuius baſis ſemidiametri QA quadratum maius ſit re­
                <lb/>
              ctangulo KDL, tunc enim conſtat,
                <lb/>
                <figure id="id.010.01.476.1.jpg" xlink:href="010/01/476/1.jpg" number="164"/>
                <lb/>
              quod baſis circulus AD maior eſt
                <lb/>
              zona circulari KLDA, & propterea
                <lb/>
              amplitudo ſiphonis aquæ fluentis
                <lb/>
              minor erit amplitudine cylindri ſo­
                <lb/>
              lidi aſcendentis; quia verò tantum­
                <lb/>
              dem cylindrus ſolidus in aqua
                <expan abbr="aſcẽ-dit">aſcen­
                  <lb/>
                dit</expan>
              quanta eſt moles aquæ AGHD
                <lb/>
              è ſupremo loco expulſa, igitur vt
                <lb/>
              ſummitas cylindri AD
                <expan abbr="perpẽdicu-lari">perpendicu­
                  <lb/>
                lari</expan>
              motu feratur ad
                <expan abbr="locũ">locum</expan>
              GH opor­
                <lb/>
              tet vt cylindrus aqueus AGHD è ſuo loco expella­
                <lb/>
              tur, cuius baſis æqualis eſt ipſi AD; vt verò prædicta </s>
            </p>
          </chap>
        </body>
      </text>
    </archimedes>