Valerio, Luca, De centro gravitatis solidorvm libri tres

Table of figures

< >
[Figure 61]
[Figure 62]
[Figure 63]
[Figure 64]
[Figure 65]
[Figure 66]
[Figure 67]
[Figure 68]
[Figure 69]
[Figure 70]
[Figure 71]
[Figure 72]
[Figure 73]
[Figure 74]
[Figure 75]
[Figure 76]
[Figure 77]
[Figure 78]
[Figure 79]
[Figure 80]
[Figure 81]
[Figure 82]
[Figure 83]
[Figure 84]
[Figure 85]
[Figure 86]
[Figure 87]
[Figure 88]
[Figure 89]
[Figure 90]
< >
page |< < of 283 > >|
    <archimedes>
      <text>
        <body>
          <chap>
            <pb xlink:href="043/01/101.jpg" pagenum="14"/>
            <p type="head">
              <s>
                <emph type="italics"/>
              PROPOSITIO IX.
                <emph.end type="italics"/>
              </s>
            </p>
            <p type="main">
              <s>Si recta linea vtcumque ſecta fuerit, cubus qui
                <lb/>
              fit à tota æqualis eſt duobus ſolidis rectangulis,
                <lb/>
              quæ ex partibus, & totius quadrato fiunt. </s>
            </p>
            <p type="main">
              <s>Sit recta linea AB ſecta in puncto C vtcumque. </s>
              <s>Di­
                <lb/>
              co cubum ex AB æqualem eſse duobus ſolidis rectangu­
                <lb/>
              lis, quæ fiunt ex AC CB, & quadrato AB. </s>
              <s>Quoniam
                <lb/>
                <figure id="id.043.01.101.1.jpg" xlink:href="043/01/101/1.jpg" number="74"/>
                <lb/>
              enim communi altitudine AB, eſt vt rectangulum BAC
                <lb/>
              ad quadratum AB, ita ſolidum ex AB, & rectangulo
                <lb/>
              BAC ad cubum ex AB, eademque ratione vt rectangu­
                <lb/>
              lum ABC, ad quadratum AB, ita ſolidum eſt AB, &
                <lb/>
              rectangulo ABC ad cubum ex AB; erunt vt duo rectan­
                <lb/>
              gula BAC, ABC ad quadratum AB, ita duo ſolida
                <lb/>
              ex AB, & rectangulis BAC, ABC ad cubum ex AB.
                <lb/>
              </s>
              <s>Sed duo rectangula BAC, ABC ſunt æqualia quadrato
                <lb/>
              AC; duo igitur ſolida ex AB, & rectangulis BAC, CBA,
                <lb/>
              æqualia ſunt cubo ex AB. </s>
              <s>Sed ſolidum ex AB & rectan­
                <lb/>
              gulo BAC eſt id quod fit ex AC, & AC & quadrato
                <lb/>
              AB; duo igitur ſolida ex AC, CB, & quadrato AB ſi­
                <lb/>
              mul ſumpta æqualia ſua cubo ex AB. </s>
              <s>Si igitur recta linea
                <lb/>
              vtcumque ſecta fuerit, &c. </s>
              <s>Quod demonſtrandum erat. </s>
            </p>
          </chap>
        </body>
      </text>
    </archimedes>