Valerio, Luca, De centro gravitatis solidorvm libri tres

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        <body>
          <chap>
            <pb xlink:href="043/01/083.jpg" pagenum="75"/>
            <p type="head">
              <s>
                <emph type="italics"/>
              PROPOSITIO XXXVII.
                <emph.end type="italics"/>
              </s>
            </p>
            <p type="main">
              <s>Dodecaedri, & icoſaedri idem eſt centrum gra
                <lb/>
              uitatis, & figuræ. </s>
            </p>
            <p type="main">
              <s>Nam huiuſmodi figuras habere axes, qui omnes ſe ſe
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              bifariam ſecant; (tale autem ſectionis punctum centrum eſt)
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              conſtat ex talium corporum in ſphæra inſcriptione in de­
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              cimotertio Euclidis Elemento: nec non omnem pyrami­
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              dem, cuius vertex eſt dodecaedri, vel octaedri centrum
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              idem cum centro ſphæræ, vt conſtat ex ijſdem Euclidis in­
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              ſcriptionibus; baſis autem triangulum æquilaterum, vel
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              pentagonum, vna ex baſibus corporum prædictorum, ha­
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              bere pyramidem oppoſitam ſimilem ipſi, & æqualem, cuius
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              latera eius lateribus homologis ſunt in directum poſita,
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              baſis autem triangulum, vel pentagonum, quale diximus;
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              Eadem igitur ratione, qua vſi ſumus ad demonſtrandum
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              centrum grauitatis, & parallelepipedi, & octaedri, propo­
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              ſitum concluderemus. </s>
            </p>
            <p type="head">
              <s>
                <emph type="italics"/>
              PROPOSITIO XXXVIII.
                <emph.end type="italics"/>
              </s>
            </p>
            <p type="main">
              <s>Data qualibet figura, cuius termini omnis
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              cauitas ſit interior, ſi certum in ea punctum talis
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              cius partis centrum grauitatis eſse poſsit, quæ ab
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              ca deficiat minori ſpacio quantacumque magnitu
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              dine propoſita; illud erit totius figuræ centrum
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              grauitatis. </s>
            </p>
          </chap>
        </body>
      </text>
    </archimedes>