Valerio, Luca, De centro gravitatis solidorvm libri tres

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    <archimedes>
      <text>
        <body>
          <chap>
            <p type="main">
              <s>
                <pb xlink:href="043/01/195.jpg" pagenum="16"/>
              communis baſis ſit poly gorum inſcriptum circulo quidem
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              æquilaterum, & æquiangulum; in ellipſe autem, quod pro
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              Archimede deſcribit Commandinus, ita vt & à cylindro,
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              vel cylindri portione priſina, & à cono, vel coni portione
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              pyramis deficiat minori ſpacio quantacumque magnitudi­
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              ne propoſita: quo modo autem in portione cylindrica, vel
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              conica hoc fieri poſſit, eadem quæ de cono atque cylindro
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              Euclides in duodecimo docuit manifeſtant. </s>
              <s>Abſciſſione
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              igitur facta fruſti AD, & cylindri, vel portionis cylindricæ
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              CG, abſciſſa ſimul erunt fruſtum pyramidis inſcriptum
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              fruſto AD, & priſma inſcriptum cylindro, vel portioni cy­
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              lindricæ CG, eiuſdem altitudinis inter ſe, & duobus præ­
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              dictis ſolidis AD, CG, deficien
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              tia vnum à fruſto, alterum à cy­
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              lindro, vel portione cylindrica
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              multo minori ſpacio magnitudine
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              propoſita: ſectiones autem priſma
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              tis, & pyramidis erunt polygona
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              circulis, vel ellipſibus ipſi CD op
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              poſitis & ſimilibus inſcripta in­
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              ter ſe ſimilia, vt multi oſtendunt.
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              </s>
              <s>erunt etiam ſimilium polygono­
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              rum circulis, vel ellipſibus ſimili­
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              bus, quæ ſunt baſes oppoſitæ fru­
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                <figure id="id.043.01.195.1.jpg" xlink:href="043/01/195/1.jpg" number="145"/>
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              ſti AD, inſcriptorum diametri eædem AB, CD. </s>
              <s>Quo­
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              niam igitur ſimilium polygonorum circulis, & ſimilibus
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              ellipſibus inſcriptorum latera homologa inter ſe ſunt vt
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              diametri dictorum circulorum, vel ellipſium, eadem erit
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              proportio inter duas diametros AB, CD, hoc eſt FC,
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              CD, quæ inter duo quælibet latera homologa polyga­
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              norum circulis, vel ellipſibus ſimilibus AB, CD in­
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              ſcriptorum. </s>
              <s>Sed pyramidis fruſtum fruſto CB inſcri­
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              ptum ad priſma, cuius baſis eſt maior baſis fruſti pyrami­
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              dis, & eadem altitudo, ſolido CG inſcriptum, eſt vt re-</s>
            </p>
          </chap>
        </body>
      </text>
    </archimedes>
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