Valerio, Luca, De centro gravitatis solidorum, 1604

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    <archimedes>
      <text>
        <body>
          <chap>
            <pb xlink:href="043/01/034.jpg" pagenum="26"/>
            <p type="head">
              <s>
                <emph type="italics"/>
              PROPOSITIO XI.
                <emph.end type="italics"/>
              </s>
            </p>
            <p type="main">
              <s>Omni ſolido circa axim in alteram partem defi
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              cienti, cuius baſis ſit circulus, vel ellypſis, figura
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              quædam ex cylindris, vel cylindri portionibus
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              æqualium altitudinum inſcribi poteft, & altera
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              circumſcribi, ita vt circumſcripta ſuperet inſcri­
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              ptam minori exceſſu quacumque magnitudine
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              propoſita. </s>
            </p>
            <p type="main">
              <s>Sit ſolidum ABC, circa axim AD, in alteram par­
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              tem deficiens, cuius vertex A, baſis autem circulus, vel
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              ellypſis, cuius diameter BC. </s>
              <s>Igitur ſuper hanc baſim
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              circa axim AD,
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              intelligatur deſeri
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              ptus cylindrus, vel
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              cylindri portio
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              BL, quæ ſolidum
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              ABC, compre­
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              hendet: ſectoque
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              cylindro, vel cylin
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              dri portione BL,
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              planis baſi paralle
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                <figure id="id.043.01.034.1.jpg" xlink:href="043/01/034/1.jpg" number="18"/>
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              lis in tot cylindros, vel cylindri portiones æqualium al­
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              ritudinum, vt quilibet eorum ſit minor magnitudine
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              propoſita; eſto ſolidum ABC, ſectum prædictis planis:
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              erunt autem ſectiones circuli, vel ellypſes fimiles inter
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              ſe & baſi BC, ſolidi ABC ſuper quas ſectiones tam­
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              quam baſes cylindris, vel cylindri portionibus æqua­
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              lium altitudinum intra, atque extra figuram conſtitutis,
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              quorum bini inter eadem plana parallela inter ſe refe-</s>
            </p>
          </chap>
        </body>
      </text>
    </archimedes>
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