Valerio, Luca, De centro gravitatis solidorum, 1604

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    <archimedes>
      <text>
        <body>
          <chap>
            <p type="main">
              <s>
                <pb xlink:href="043/01/110.jpg" pagenum="23"/>
              circulo maximo, altitudo autem eadem portioni,
                <lb/>
              eam
                <expan abbr="proportionẽ">proportionem</expan>
              habet, quam exceſſus, quo maior
                <lb/>
              extrema ad triplas ſemidiametri ſphæræ, & eius
                <lb/>
              quæ inter
                <expan abbr="centrũ">centrum</expan>
              ſphæræ, & minoris baſis portio­
                <lb/>
              nis interijcitur, ſuperat tres deinceps
                <lb/>
              proportionales, quarum maxima eſt
                <lb/>
              quæ inter centra ſphæræ, & minoris
                <lb/>
              baſis, media autem, quæ inter cen­
                <lb/>
              træ ſphæræ, & maioris baſis portio­
                <lb/>
              nis interijcitur; ad maiorem extre­
                <lb/>
              mam antedictam. </s>
            </p>
            <p type="main">
              <s>Sit portio ABCD ſphæræ, cuius centrum
                <lb/>
              E, abſciſsa duobus planis parallelis, neutro
                <lb/>
              per E tranſeunte, nec E
                <expan abbr="intercipiẽtibus">intercipientibus</expan>
              , cuius
                <lb/>
              maior baſis ſit circulus, cui diameter AD.
                <lb/>
              minor autem cuius diameter BC, axis GH.
                <lb/>
              circa quem cylindrus OS, conſiſtat, cuius
                <lb/>
              baſis ſit circulus circa SR æqualis circulo
                <lb/>
              maximo: ſphæræ autem ſemidiater ſit EHG.
                <lb/>
              & vt GE ad EH, ita ſit HE ad V: & po­
                <lb/>
                <figure id="id.043.01.110.1.jpg" xlink:href="043/01/110/1.jpg" number="82"/>
                <lb/>
              ſita T tripla ipſius EF, & X itidem tripla ipſius EG, vt X </s>
            </p>
          </chap>
        </body>
      </text>
    </archimedes>
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