Valerio, Luca, De centro gravitatis solidorvm libri tres

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      <text>
        <body>
          <chap>
            <p type="main">
              <s>
                <pb xlink:href="043/01/126.jpg" pagenum="39"/>
              neis connectantur, erunt binæ connectentes parallelæ, &
                <lb/>
              ab axe
                <emph type="italics"/>
              K
                <emph.end type="italics"/>
              L bifariam ſecabuntur, vt figuræ deſcriptio ina­
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              nifeſtat. </s>
              <s>Totius igitur fruſti ABCDEFGH, centrum
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              grauitatis
                <foreign lang="grc">
                  <gap/>
                </foreign>
              in linea
                <foreign lang="grc">γ δ</foreign>
              cadet: ſed punctum
                <foreign lang="grc">γ</foreign>
              cadit infra
                <lb/>
              punctum
                <foreign lang="grc">α</foreign>
              , multo ergo inferius, & baſi EG propinquius
                <lb/>
              punctum
                <foreign lang="grc">
                  <gap/>
                </foreign>
              quam punctum
                <foreign lang="grc">α. </foreign>
              </s>
              <s>Quod demonſtrandum erat. </s>
            </p>
            <p type="head">
              <s>
                <emph type="italics"/>
              PROPOSITIO XXIV.
                <emph.end type="italics"/>
              </s>
            </p>
            <p type="main">
              <s>Omnis fruſti conici centrum grauitatis pro­
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              pinquius eſt maiori baſi quam punctum illud, in
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              quo axis ſic diuiditur, vt pars minorem baſim
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              attingens ſit ad reliquam, vt dupla diametri ma­
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              ior is baſis vna cum minoris diametro ad duplam
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              diametri minoris baſis vna cum diametro ma­
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              ioris. </s>
            </p>
            <p type="main">
              <s>Hoc eadem ratione deducetur ex antecedenti, qua cen­
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              trum grauitatis fruſti conici in extremo primo libro demon
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              ſtrauimus, quandoquidem ſimiliter vt ibi fecimus, omnis
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              pyramidis centro grauitatis idem probaremus accedere
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              quod prædictæ pyramidis in antecedente. </s>
            </p>
            <p type="head">
              <s>
                <emph type="italics"/>
              PROPOSITIO XXV.
                <emph.end type="italics"/>
              </s>
            </p>
            <p type="main">
              <s>Si ſint quotcumque magnitudines, & aliæ illis
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              multitudine æquales, binæque ſumptæ in eadem
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              proportione, quæ commune habeant centrum gra
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              uitatis, centra autem grauitatis omnium ſint in
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              eadem recta linea; primæ & ſecundæ tanquam </s>
            </p>
          </chap>
        </body>
      </text>
    </archimedes>
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