Valerio, Luca, De centro gravitatis solidorvm libri tres

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    <archimedes>
      <text>
        <body>
          <chap>
            <pb xlink:href="043/01/015.jpg" pagenum="7"/>
            <p type="head">
              <s>PROPOSITIO
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              PRIMA.</s>
            </p>
            <p type="main">
              <s>Si ſint quotcumque magnitu­
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              dines inæquales deinceps
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              proportionales; exceſſus, qui
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              bus differunt deinceps pro­
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              portionales erunt, in propor­
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              tione totarum magnitudi­
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              num. </s>
            </p>
            <p type="main">
              <s>Sint quotcumque inæquales magnitudines deinceps
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              proportionales AB, CD, EF, & G,
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              differentes exceſſibus BH, DK, FL, mi­
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              nima autem ſit G. </s>
              <s>Dico BH, DK, FL,
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              deinceps proportionales eſse in proportio­
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              ne, quæ eſt AB, ad CD, ſeu CD, ad
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              EF. </s>
              <s>Quoniam enim eſt vt AB, ad
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              CD, ita CD ad EF; hoc eſt vt AB, ad
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              AH, ita CD, ad CK, permutando
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              erit, vt AB, ad CD, ita AH, ad CK:
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              vt igitur tota AB, ad totam CD, ita
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              reliqua BH, ad reliquam DK. </s>
              <s>Simili­
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              ter oſtenderemus eſse vt CD ad EF,
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              ita DK ad FL; vt igitur BH ad DK,
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              ita erit DK ad FL, in proportione, quæ
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              eſt AB ad CD, & CD ad EF. </s>
              <s>Quod demonſtran­
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              dum erat. </s>
            </p>
            <figure id="id.043.01.015.1.jpg" xlink:href="043/01/015/1.jpg" number="6"/>
          </chap>
        </body>
      </text>
    </archimedes>
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