Valerio, Luca, De centro gravitatis solidorvm libri tres

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        <body>
          <chap>
            <pb xlink:href="043/01/181.jpg" pagenum="2"/>
            <p type="main">
              <s>Sit recta linea AB ſecta in puncto C biſariam, & non
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              bifariam in puncto D. </s>
              <s>Dico rectangulum ADB æqua­
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              le eſſe rectangulo BDC bis vnà cum quadrato BD.
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              </s>
              <s>Quoniam enim rectangulum ADB, æquale eſt duobus
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              rectangulis, & ex BD, DC, & ex AC, BD, hoc eſt ex
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              CB, BD: ſed rectangulum ex CB, BD, eſt rectangu­
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              lum ex BD, DC, vnà cum quadrato BD; rectangulum
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              igitur ex AD, DB, æquale eſt duobus rectangulis ex
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              BD, DC, vnà cum quadiato BD. </s>
              <s>Si igitur recta linea
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              ſecta fuerit bifariam, & non bifariam, &c. </s>
              <s>Quod demon­
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              ſtrandum erat. </s>
            </p>
            <figure id="id.043.01.181.1.jpg" xlink:href="043/01/181/1.jpg" number="136"/>
            <p type="head">
              <s>
                <emph type="italics"/>
              PROPOSITIO II.
                <emph.end type="italics"/>
              </s>
            </p>
            <p type="main">
              <s>Si circulum, vel ellipſim duæ rectæ lineæ tan­
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              gentes in terminis coniugatarum diametrorum,
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              conueniant: & punctum in quo conueniunt, &
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              centrum figuræ iungantur recta linea; quæcun­
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              que hanc vnà cum prædictæ figuræ termino al­
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              terutri diametrorum parallela ſecuerit recta li­
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              nea, ita ipſa ſecabitur in duobus punctis, vt re­
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              ctangulum bis contentum ſegmentis, quorum al­
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              terum inter diametrum, & terminum figuræ, al­
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              terum inter figuræ terminum & contingentem
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              interijcitur, vnà cum huius quadrato, ſit æquale
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              quadrato reliqui ſegmenti inter diametrum, & </s>
            </p>
          </chap>
        </body>
      </text>
    </archimedes>
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