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

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    <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
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              dio EB deſcripta. </s>
            </p>
            <p type="margin">
              <s id="s.002469">
                <margin.target id="marg638"/>
              Cap. 11. gra­
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              uia in fluido
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              velocitati­
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              bus inæqua­
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              libus ferri
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              debere.</s>
            </p>
            <p type="main">
              <s id="s.002470">Et hoc ſemper verum eſſe videtur in vaſis amplis,
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              ſi tamen ſolida aſcendentia figuram oblongam, & æ­
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              què craſſam habuerint, ſcilicèt ſi fuerint priſmatą,
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              vel cylindri, in figuris verò conicis, vel incuruatis
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              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
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              phonis aquei ſolidum ambientis, & deorsùm fluentis mi­
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              nor eſſe debet baſi eiuſdem ſolidi, ſed contrario ordine re­
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              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
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              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"/>
                <lb/>
              quod baſis circulus AD maior eſt
                <lb/>
              zona circulari KLDA, & propterea
                <lb/>
              amplitudo ſiphonis aquæ fluentis
                <lb/>
              minor erit amplitudine cylindri ſo­
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              lidi aſcendentis; quia verò tantum­
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              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
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                lari</expan>
              motu feratur ad
                <expan abbr="locũ">locum</expan>
              GH opor­
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              tet vt cylindrus aqueus AGHD è ſuo loco expella­
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              tur, cuius baſis æqualis eſt ipſi AD; vt verò prædicta </s>
            </p>
          </chap>
        </body>
      </text>
    </archimedes>