Valerio, Luca, De centro gravitatis solidorvm libri tres
page |< < of 283 > >|
    <archimedes>
      <text>
        <body>
          <chap>
            <p type="main">
              <s>
                <pb xlink:href="043/01/144.jpg" pagenum="57"/>
              aliam trium harum figurarum pertinentes. </s>
              <s>Quod ſi præ­
                <lb/>
              terea factæ ſectiones hemiſphærij ABC à cylindri AF
                <lb/>
              ſectionibus, circuli à circulis concentricis auferri intelli­
                <lb/>
              gantur; reliquæ totidem erunt ſectiones reliquæ figuræ ſo­
                <lb/>
              lidæ, dempto ABC hemiſphærio ex toto AF cylin­
                <lb/>
              dro, circuli deficientes circulis concentricis, hoc eſt prædi­
                <lb/>
              ctis ABC hemiſphærij ſectionibus prout inter ſe reſpon­
                <lb/>
              dent. </s>
              <s>Nunc ſuper ſectiones hemiſphærij ABC, & co­
                <lb/>
              ni EDF cylindris conſtitutis circa axes, quæ ſunt ſeg­
                <lb/>
              menta æqualia axis BD, intelligantur duæ figuræ ex cy­
                <lb/>
              lindris æqualium altitudinum, altera inſcripta hemiſphæ­
                <lb/>
                <figure id="id.043.01.144.1.jpg" xlink:href="043/01/144/1.jpg" number="111"/>
                <lb/>
              rio ABC, altera cono EDF circumſcripta. </s>
              <s>Si igitur
                <lb/>
              à toto AF cylindro auferatur figura, quæ inſcripta eſt
                <lb/>
              hemiſphærio ABC, relinquetur figura quædam ex cylin­
                <lb/>
              dris circa prædictos axes, vt ſunt BK, KH, HL, LD,
                <lb/>
              deficientibus ijs cylindris, ex quibus conſtat figura inſcri­
                <lb/>
              pta hemiſphærio ABC, & vno integro ſupiemo XF
                <lb/>
              cylindro, circumſcripta reſiduo AF cylindri dempto A
                <lb/>
              BC hemiſphærio, circumſcriptione interna: talis autem
                <lb/>
              figuræ circumſcriptæ centrum grauitatis, per ea, quæ in
                <lb/>
              primo libro, erit in axe BD, quemadmodum & aliarum
                <lb/>
              duarum figurarum ex cylindris, quarum altera inſcripta
                <lb/>
              eſt hemiſphærio ABC, altera cono EDF circumſcripta. </s>
            </p>
          </chap>
        </body>
      </text>
    </archimedes>
Impressum