Valerio, Luca, De centro gravitatis solidorvm libri tres

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      <text>
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            <pb xlink:href="043/01/084.jpg" pagenum="76"/>
            <p type="main">
              <s>Eſto figura AB, cuius termini omnis cauitas ſit interior
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              & certum in ea punctum E, talis partis AB, figuræ qua­
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              lem diximus centrum grauitatis eſse poſsit. </s>
              <s>Dico pun­
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              ctum E, eſse figuræ AB, centrum grauitatis. </s>
              <s>Si enim
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              E, non eſt, erit aliud, eſto F: & iuncta EF producatur,
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              & ſumatur in illa extra figuræ AB, terminum, quodlibet
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              punctum G; & vt eſt FE, ad EG, ita ſit alia magnitudo
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              K, ad figuram AB, &
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              ex vi hypotheſis ſit pars
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              quædam CD, figuræ
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              AB, cuius centrum gra
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              uitatis E, talis vt abla­
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              ta relinquat AC, minus
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              magnitudine
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              K.
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              </s>
              <s> Mi­
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              nor igitur proportio erit
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              AC, ad AB, quàm K,
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              ad AB, hoc eſt quàm
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              FE, ad EG; fiat vt
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              AC, ad AB, ita EF,
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              ad FGH: ſed F, eſt cen
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              trum grauitatis totius
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              AB, & E, vnius par­
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              tis CD; reliquæ igitur
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                <figure id="id.043.01.084.1.jpg" xlink:href="043/01/084/1.jpg" number="54"/>
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              partis AC, centrum grauitatis erit H, vltra punctum G: ſed
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              G, cadit extra terminum figuræ AC; multo igitur magis H:
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              Quod eſt abſurdum. </s>
              <s>Non igitur aliud punctum à puncto
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              E; punctum igitur E, figuræ AB, erit centrum grauitatis
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              Quod demonſtrandum erat. </s>
            </p>
          </chap>
        </body>
      </text>
    </archimedes>
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