Valerio, Luca, De centro gravitatis solidorvm libri tres

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      <text>
        <body>
          <chap>
            <p type="main">
              <s>
                <pb xlink:href="043/01/129.jpg" pagenum="42"/>
              uitatis duarum DB: & R duarum AB: & AD ſunt æ­
                <lb/>
              quales; erit RH maior quàm SH: ſed quia LQ erat ma­
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              ior quàm LS, eſt & SH maior quàm QH; multo igitur
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              maior RH erit quàm QH: atque ideo punctum R pro­
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              pinquius termino T, quàm punctum
                <expan abbr="q.">que</expan>
              Rurſus quo­
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              niam tota magnitudo AB eſt æqualis toti DE, & C æ­
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              qualis F; erunt duæ primæ AB, & C, & totidem ſecun­
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              dæ DE, & F, quarum vnius poſteriorum DE cen­
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              trum grauitatis Q cadit inter R, K centra grauitatis
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              duarum priorum AB, & C, & reliquæ priorum C cen­
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              trum grauitatis K cadit inter Q, N, duarum poſterio­
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              rum DE, & F centra grauitatis; erunt vt antea quatuor
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              magnitudines binæ proximæ æquales, ſcilicet AB, ipſi
                <lb/>
                <figure id="id.043.01.129.1.jpg" xlink:href="043/01/129/1.jpg" number="100"/>
                <lb/>
              DE: & C ipſi F, centra grauitatis habentes diſpofita
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              alternatim in eadem recta TV. </s>
              <s>Cum igitur primæ prio­
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              rum AB, centrum grauitatis R ſit termino T propin­
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              quius quàm Q centrum grauitatis primæ poſteriorum,
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              quæ eſt tota DE; ſimiliter vt ante totius magnitudinis
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              ABC centrum grauitatis P erit termino T propinquius
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              quàm totius DEF centrum grauitatis O. </s>
              <s>Non aliter
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              oſtenderemus, quotcumque plures magnitudines, quales
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              & quemadmodum diximus ad rectam TV, diſpoſitæ
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              proponerentur, ſemper centrum grauitatis omnium prio­
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              rum ſimul termino T propinquius cadere, quàm omnium
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              poſteriorum ſimul centrum grauitatis. </s>
              <s>Manifeſtum eſt
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              igitur propoſitum. </s>
            </p>
          </chap>
        </body>
      </text>
    </archimedes>
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