Valerio, Luca, De centro gravitatis solidorum, 1604

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          <chap>
            <p type="main">
              <s>
                <pb xlink:href="043/01/108.jpg" pagenum="21"/>
              ſcidit portionem ABC, plano circuli FH parallelum.
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              </s>
              <s>Quoniam igitur fruſtum FH
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              K
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              L æquale eſt cylindri EF
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              reſiduo, dempta ABC portione, quod ex præcedenti theo
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              remate perſpicuum eſse debet: erit portio ABC æqualis
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              ei, quod relinquitur cylindri EF, ſi fruſtum auferatur
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              FHKL: ſed hoc reliquum eſt ad cylindrum EF, vt exceſ­
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              ſus, quo tripla lineæ FH, ſuperat tres deinceps proportio­
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              nales FH, KL, & minorem extrema, ad triplam lineæ FH:
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                <gap/>
              vt FH, ad KL, ita eſt BD ad DG, & DG, ad M; vt igi­
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              tur exceſſus, quo tripla ipſius BD, ſuperat tres BD, DG,
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              & M, ſimul, ad lineæ BD triplam, ita erit portio ABC ad
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              cylindrum EF. </s>
              <s>Quod demonſtrandum erat. </s>
            </p>
            <p type="head">
              <s>
                <emph type="italics"/>
              PROPOSITIO XIV.
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              </s>
            </p>
            <p type="main">
              <s>Omnis portio ſphæræ abſciſsa duobus planis
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              parallelis alteroper centrum acto ad cylindrum,
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              cuius baſis eſt eadem baſi portionis, ſiue circu­
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              lo maximo, & eadem altitudo, eam habet pro­
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              portionem, quam exceſſus, quo maior extrema ad
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              ſphæræ ſemidiametrum, & axim portionis exce­
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              dit tertiam partem axis portionis; ad maiorem ex­
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              tremam antedictam. </s>
            </p>
            <p type="main">
              <s>Sit portio AB
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              CD, ſphæræ, cu
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              ius centrum F,
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              abſciſſa duobus
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              planis parallelis
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              altero per
                <expan abbr="centrũ">centrum</expan>
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              F tranſeunte;
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              axis autem por­
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              tionis fit FG: &
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                <figure id="id.043.01.108.1.jpg" xlink:href="043/01/108/1.jpg" number="80"/>
              </s>
            </p>
          </chap>
        </body>
      </text>
    </archimedes>
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