Valerio, Luca, De centro gravitatis solidorvm libri tres

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    <archimedes>
      <text>
        <body>
          <chap>
            <p type="main">
              <s>
                <pb xlink:href="043/01/055.jpg" pagenum="47"/>
              ratione, tam duorum triangulorum ABG, DGE, quàm
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              duorum AFG, CDG, ſimul, centrum grauitatis erit G;
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              totius igitur polygoni ABCDEF; centrum grauitatis
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              erit idem G. </s>
              <s>Manifeſtum eſt igitur propoſitum. </s>
            </p>
            <p type="head">
              <s>
                <emph type="italics"/>
              PROPOSITIO XXII.
                <emph.end type="italics"/>
              </s>
            </p>
            <p type="main">
              <s>Omnis figuræ circa diametrum in alteram par
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              tem deficientis, in diametro eſt centrum graui­
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              tatis. </s>
            </p>
            <p type="main">
              <s>Sit figura ABC, circa diametrum BD, in alteram par
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              tem deficiens verſus B. </s>
              <s>Dico centrum grauitatis figuræ
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              ABC, eſse in linea BD. ſit enim punctum E, generali­
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              ter extra lineam BD. </s>
              <s>Et per puncta E, C, ducantur ipſi
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              BD, parallelæ EF,
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              CG, & vt eſt CD,
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              ad DF, ita ponatur
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              figura ABC, ad ali­
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              quod ſpacium M: &
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              figuræ ABC, inſcri­
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              batur figura ex paral­
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              lelogrammis æqua­
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              lium altitudinum de­
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              ficiens à figura ABC,
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              minori defectu, quam
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              ſit ſpacium M, quan­
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              tumcumque illud ſit:
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              minor igitur propor­
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                <figure id="id.043.01.055.1.jpg" xlink:href="043/01/055/1.jpg" number="32"/>
                <lb/>
              tio erit figuræ ABC, ad ſpacium M, hoc eſt minor pro­
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              portio CD, ad DF, quàm figuræ ABC, ad ſui reliquum,
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              dempta figura inſcripta. </s>
              <s>Quoniam autem diameter BD, </s>
            </p>
          </chap>
        </body>
      </text>
    </archimedes>
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