Commandino, Federico, Liber de centro gravitatis solidorum, 1565

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    <archimedes>
      <text>
        <body>
          <chap>
            <pb pagenum="17" xlink:href="023/01/041.jpg"/>
            <p type="head">
              <s id="s.000386">PROBLEMA I. PROPOSITIO X.</s>
            </p>
            <p type="main">
              <s id="s.000387">DATA qualibet pyramide, fieri poteſt, ut fi­
                <lb/>
              gura ſolida in ipſa in ſcribatur, & altera
                <expan abbr="circũſcri-batur">circumſcri­
                  <lb/>
                batur</expan>
              ex priſmatibus æqualem altitudinem
                <expan abbr="ha-bẽtibus">ha­
                  <lb/>
                bentibus</expan>
              , ita ut circumſcripta inſcriptam excedat
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              magnitudine, quæ minor ſit
                <expan abbr="quacũque">quacunque</expan>
              ſolida ma
                <lb/>
              gnitudine propoſita.</s>
            </p>
            <figure id="id.023.01.041.1.jpg" xlink:href="023/01/041/1.jpg" number="31"/>
            <p type="main">
              <s id="s.000388">Sit pyramis, cuius baſis
                <lb/>
                <expan abbr="triangulũ">triangulum</expan>
              abc; axis de. </s>
              <lb/>
              <s id="s.000389">
                <expan abbr="Sitq;">Sitque</expan>
              priſma, quod
                <expan abbr="eandẽ">eandem</expan>
                <lb/>
              baſim habeat, & axem eun
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              dem. </s>
              <s id="s.000390">Itaque hoc priſma­
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              te continenter ſecto bifa­
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              riam, plano baſi
                <expan abbr="æquidiſtã">æquidiſtan</expan>
                <lb/>
              te, relinquetur
                <expan abbr="tãdem">tandem</expan>
              priſ
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              ma quoddam minus pro­
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              poſita magnitudine: quod
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              quidem baſim eandem ha
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              beat, quam pyramis, & a­
                <lb/>
              xem ef. </s>
              <s id="s.000391">diuidatur de in
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              partes æquales ipſi ef in
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              punctis ghklmn: & per
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              diuiſiones plana
                <expan abbr="ducãtur">ducantur</expan>
              :
                <lb/>
              quæ baſibus æquidiſtent,
                <lb/>
              erunt ſectiones, triangula
                <lb/>
              ipſi abc ſimilia, ut proxi­
                <lb/>
              me oſtendimus. </s>
              <s id="s.000392">ab uno
                <lb/>
              quoque
                <expan abbr="autẽ">autem</expan>
              horum trian
                <lb/>
              gulorum duo priſmata
                <expan abbr="cõ">con</expan>
                <lb/>
              ſtruantur; unum quidem
                <lb/>
              ad partes e; alterum ad </s>
            </p>
          </chap>
        </body>
      </text>
    </archimedes>
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