Valerio, Luca, De centro gravitatis solidorum, 1604

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            <pb xlink:href="043/01/058.jpg" pagenum="50"/>
            <p type="head">
              <s>
                <emph type="italics"/>
              PROPOSITIO XXIII.
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              <s>Circuli, & Ellypſis idem eſt centrum grauita­
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              tis, & figuræ. </s>
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              <s>Sit circulus, vel ellypſis ABCD, cuius centrum E.
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              </s>
              <s>Dico centrum grauitatis figuræ ABCD, eſse punctum E.
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              </s>
              <s>Ducantur enim duæ diametri ad rectos inter ſe angulos
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              AC, BD; in ellypſi autem ſint diametri coniugatæ.
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              </s>
              <s>Quoniam igitur omnes rectæ lineæ, quæ in ſemicirculo,
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              vel dimidia ellypſi diametro ducantur parallelæ bifariam
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              ſecantur à ſemidiametro, & quo à baſi remotiores, eo ſunt
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                <figure id="id.043.01.058.1.jpg" xlink:href="043/01/058/1.jpg" number="34"/>
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              minores; erit centrum grauitatis ſemicirculi, ſiue dimidiæ
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              ellypſis ABC, in linea BE; ſicut & ſemicirculi, ſiue di­
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              midiæ ellypſis ADC, centrum grauitatis in linea DE.
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              eſt autem BED, vna recta linea: in diametro igitur BD,
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              erit centrum grauitatis circuli, ſiue ellypſis ABCD.
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              </s>
              <s>Eadem ratione oſtenderemus idem centrum grauitatis eſse
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              in altera diametro AC: in communi igitur vtriuſque ſe­
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              ctione puncto E. </s>
              <s>Quod demonſtrandum erat. </s>
            </p>
          </chap>
        </body>
      </text>
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