Valerio, Luca, De centro gravitatis solidorum, 1604

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          <chap>
            <p type="main">
              <s>
                <pb xlink:href="043/01/134.jpg" pagenum="47"/>
              EV ad VS, erit componendo, maior proportio ER ad
                <lb/>
              RT quàm ES ad SV: & per conuerſionem rationis mi­
                <lb/>
              nor proportio FR ad ET; quàm ES ad EV, & permu­
                <lb/>
              tando minor proportio ER ad ES quàm ET ad EV: ſed
                <lb/>
              ER maior erat quàm ES, ergo ET maior erit quàm EV:
                <lb/>
              & punctum T propinquius termino A, quàm punctum V.
                <lb/>
              </s>
              <s>Quod demonſtrandum erat. </s>
            </p>
            <p type="head">
              <s>
                <emph type="italics"/>
              PROPOSITIO XXIX.
                <emph.end type="italics"/>
              </s>
            </p>
            <p type="main">
              <s>Datæ figuræ circa diametrum, vel axim in alte
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              ram partem deficienti, ſuper baſim rectam lineam
                <lb/>
              vel circulum, vel ellipſim; cuius figuræ baſis, &
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              ſectiones omnes parallelæ ſegmenta æqualia dia­
                <lb/>
              metri vel axis intercipientes ita ſe habeant, vt
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              quarumlibet trium proximarum minor proportio
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              ſit minimæ ad mediam, quàm mediæ ad maxi­
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              mam; figura quædam ex cylindris, vel cylindri
                <lb/>
              portionibus, vel parallelogrammis æqualium al­
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              titudinum circumſcribi poteſt, cuius
                <expan abbr="cẽtrum">centrum</expan>
              gra­
                <lb/>
              uitatis ſit propinquius baſi quàm cuiuſlibet datæ
                <lb/>
              figuræ, qualem diximus quæ prædictæ figuræ cir
                <lb/>
              cadiametrum, vel axim circumſcripta ſit. </s>
            </p>
            <p type="main">
              <s>Sit figura circa diametrum, vel axim in alteram
                <expan abbr="partẽ">partem</expan>
              de­
                <lb/>
              ficiens qualem diximus, cuius bafis circulus, vel ellipſis vel
                <lb/>
              recta linea AC, axis autem vel diameter BD. </s>
              <s>Et data figu­
                <lb/>
              ra ipſi ABC figuræ circumſcripta compoſita ex cylindris,
                <lb/>
              vel cylindri portionibus, vel parallelogrammis æqualium
                <lb/>
              altitudinum EF, GH, AK. </s>
              <s>Dico figuræ ABC alteram
                <lb/>
              figuram, qualem diximus poſſe circumſcribi, cuius centrum </s>
            </p>
          </chap>
        </body>
      </text>
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