Valerio, Luca, De centro gravitatis solidorum, 1604

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      <text>
        <body>
          <chap>
            <p type="main">
              <s>
                <pb xlink:href="043/01/117.jpg" pagenum="30"/>
              tur in parabola ABC rectis ad diametrum ordinatim ap­
                <lb/>
              plicatis eſt vt BM ad BD longitudine, ita MH ad AD
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              potentia: hoc eſt, ita circulus, cuius diameter HMN, ad
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              circulum, cuius diameter ADC, hoc eſt ita cylindrus HL,
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              ad cylindrum AF propter æqualitatem altitudinum: ſed
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              vt BM ad BD, ita eſt GM ad AD, propter ſimilitudinem
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              triangulorum, hoc eſt ita
                <expan abbr="parallelogrãmum">parallelogrammum</expan>
              GK ad AF, pa­
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              rallelogrammum; ergo vt parallelogrammum GK ad paral
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                <expan abbr="lelogrãmum">lelogrammum</expan>
              AF, ita eſt cylindrus HL ad cylindrum AF.
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              </s>
              <s>Similiter oſtenderemus reliqua parallelogramma, quæ ſunt
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                <figure id="id.043.01.117.1.jpg" xlink:href="043/01/117/1.jpg" number="89"/>
                <lb/>
              circa
                <expan abbr="triãgulum">triangulum</expan>
              ABC eſse cum reliquis cylindris, qui ſunt
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              circa conoides ABC bina ſumpta prout inter ſe reſpon­
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              dent in eadem proportione; ſemper igitur componendo, &
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              ex æquali erit vt tota figura triangulo ABC circumſcripta
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              ad parallelogrammum AF, ita figura conoidi circumſcri­
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              pta ad AF cylindrum: ſed vt parallelogrammum AF, ad
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              parallelogrammum AE, ita eſt cylindrus AF ad cylindrum
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              AE, propter æqualitatem omnifariam ſumptarum altitu­
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              dinum; ex æquali igitur erit vt figura triangulo ABC cir­
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              cumſcripta ad parallelogrammum AE, ita figura conoidi </s>
            </p>
          </chap>
        </body>
      </text>
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