Valerio, Luca, De centro gravitatis solidorvm libri tres
page |< < of 283 > >|
    <archimedes>
      <text>
        <body>
          <chap>
            <p type="main">
              <s>
                <pb xlink:href="043/01/201.jpg" pagenum="22"/>
              erit vt rectangulum LNO bis, vnà cum quadrato NO,
                <lb/>
              ad quadratum LM, ita reliquum cylindri, vel portionis
                <lb/>
              cylindricæ GF
                <expan abbr="dẽ-pto">den­
                  <lb/>
                pto</expan>
              HP, ad cylin­
                <lb/>
              drum, vel
                <expan abbr="portionẽ">portionem</expan>
                <lb/>
              cylindricam KQ:
                <lb/>
              ſed rectangulum L
                <lb/>
              NO bis vnà
                <expan abbr="">cum</expan>
              qua
                <lb/>
              drato NO æquale
                <lb/>
              eſt quadrato LM;
                <lb/>
              reliquum igitur cy­
                <lb/>
                <figure id="id.043.01.201.1.jpg" xlink:href="043/01/201/1.jpg" number="148"/>
                <lb/>
              lindri, vel portionis
                <lb/>
              cylindricæ GF,
                <expan abbr="dẽ-pto">den­
                  <lb/>
                pto</expan>
              HP, æquale erit cylindro, vel portioni cylindricæ
                <expan abbr="Kq.">Kque</expan>
                <lb/>
              Quod erat demonſtrandum. </s>
            </p>
            <p type="head">
              <s>
                <emph type="italics"/>
              PROPOSITIO XIII.
                <emph.end type="italics"/>
              </s>
            </p>
            <p type="main">
              <s>Cylindri, vel portionis cylindricæ hemiſphæ­
                <lb/>
              rio, vel hemiſphæroidi circumſcriptæ reliquum
                <lb/>
              dempto hemiſphærio, vel hemiſphæroide, æqua­
                <lb/>
              le eſt cono, vel portioni conicæ eandem baſim he­
                <lb/>
              miſphærio, vel hemiſphæroidi, & eandem altitu­
                <lb/>
              dinem habenti. </s>
            </p>
            <p type="main">
              <s>Eſto hemiſphærio, vel hemiſphæroidi ABC, cu­
                <lb/>
              ius axis BD, baſis circulus, vel ellipſis circa diametrum
                <lb/>
              ADC, circumſcriptus cylindrus, vel cylindrica portio
                <lb/>
              AE, circa communem ſcilicet axim BD. conus autem,
                <lb/>
              vel coni portio circa axim BD, baſim habens commu­
                <lb/>
              nem ſolido ABC, intelligatur. </s>
              <s>Dico reliquum ſolidi
                <lb/>
              AE, dempto hemiſphærio, vel hemiſphæroide ABC æ-</s>
            </p>
          </chap>
        </body>
      </text>
    </archimedes>