Valerio, Luca, De centro gravitatis solidorum, 1604

Page concordance

< >
< >
page |< < of 283 > >|
    <archimedes>
      <text>
        <body>
          <chap>
            <p type="main">
              <s>
                <pb xlink:href="043/01/105.jpg" pagenum="18"/>
              conus EDR. </s>
              <s>Sectoque axe BD primo bifariam, deinde
                <lb/>
              ſingulis eius partibus rurſus bifariam, tranſeant per pun­
                <lb/>
              cta ſectionum plana baſi hemiſphærij AC æquidiſtantia,
                <lb/>
              quæ ſecent hemiſphærium, conum, & cylindrum. </s>
              <s>Se­
                <lb/>
              ctus igitur erit AE cylindrus in cylindros æqualium alti­
                <lb/>
              tudinum: ſuper ſectiones autem coni, atque hemiſphærij
                <lb/>
              nempe circulos, quorum centra in axe BD exiſtunt cy­
                <lb/>
              lindri conſtituti intelligantur binis quibuſque proximis
                <lb/>
              æquidiſtantibus planis interiecti, quorum axes omnes
                <lb/>
              æquales in BD. </s>
              <s>Erit igitur cono EDR inſcripta, & ABC
                <lb/>
                <figure id="id.043.01.105.1.jpg" xlink:href="043/01/105/1.jpg" number="78"/>
                <lb/>
              hemiſphærio circumſcripta figura quædam ex cylindris
                <lb/>
              æqualium altitudinum. </s>
              <s>Sint autem hæ figuræ ea ratione
                <lb/>
              hæc circumſcripta illa inſcripta, vt circumſcripta excedat
                <lb/>
              hemiſphærium, minori exceſsu, inſcripta vero deficiat à
                <lb/>
              cono minori defectu quam ſit magnitudo propoſita, quan­
                <lb/>
              tacumque illa ſit. </s>
              <s>His conſtitutis, manifeſtum eſt, reliquo
                <lb/>
              cylindri AE dempto hemiſphærio inſcriptam eſse figu­
                <lb/>
              ram ex reſiduis cylindrorum, in quos cylindrus AE ſe­
                <lb/>
              ctus fuerit, demptis cylindris hemiſphærio circumſcriptis,
                <lb/>
              deficientem à reliquo cylindri AE dempto hemiſphærio
                <lb/>
              minori defectu magnitudine propoſita, eodem ſcilicet,
                <lb/>
              quo figura hemiſphærio circumſcripta excedit hemiſphæ­
                <lb/>
              rium, excepto reſiduo cylindri infimi AS, dempta he­
                <lb/>
              miſphærij portione, quam comprehendit. </s>
              <s>Sit autem om-</s>
            </p>
          </chap>
        </body>
      </text>
    </archimedes>