Valerio, Luca, De centro gravitatis solidorvm libri tres

Table of figures

< >
[Figure 191]
Page: 262
[Figure 192]
Page: 263
[Figure 193]
Page: 264
[Figure 194]
Page: 267
[Figure 195]
Page: 268
[Figure 196]
Page: 270
[Figure 197]
Page: 271
[Figure 198]
Page: 272
[Figure 199]
Page: 274
< >
page |< < of 283 > >|
    <archimedes>
      <text>
        <body>
          <chap>
            <pb xlink:href="043/01/269.jpg" pagenum="90"/>
            <p type="main">
              <s>Sit conoides hyperbolicum ABC, & pars eius para­
                <lb/>
              bolicum EBF circa eundem axim BD: & conoides
                <lb/>
              EBF ad reliquum conoidis ABC eam habeat proportio­
                <lb/>
              nem, quam ſeſquialtera tranſuerſi lateris hyperboles per
                <lb/>
              axim ABC ad axim BD. </s>
              <s>Dico fieri poſſe quod proponitur.
                <lb/>
              </s>
              <s>Habeat enim DL ad LB quamcumque proportionem: &
                <lb/>
              conoides ABC reliquo ſolido AEBFC dempto conoi
                <lb/>
              de EBF. ſit conus circa axim BD æqualis GBH: &
                <lb/>
              deſcribatur conus GLH: & ſecta BD bifariam in pun­
                <lb/>
              cto K, & rurſus BK, KD in multitudine, & longitudi­
                <lb/>
              ne æquales inſcribatur conoidi EBF, & altera cirumſcri­
                <lb/>
                <figure id="id.043.01.269.1.jpg" xlink:href="043/01/269/1.jpg" number="196"/>
                <lb/>
              batur, vt in antecedenti factum eſt, figura ex cylindris æ
                <lb/>
              qualium altitudinum, ita vt exceſſus, quo circumſcripta
                <lb/>
              ſuperat inſcriptam fit minor cono GLH; & cylindris cre­
                <lb/>
              ſcentibus in latitudinem abſoluatur figura conoidi ABC
                <lb/>
              circumſcripta ex cylindris altitudine, & multitudine æqua
                <lb/>
              libus ijs, qui ſunt circa conoides EBF. </s>
              <s>Quoniam igitur
                <lb/>
              primus exceſſus eſt minor cono GLH, multo minor crit
                <lb/>
              pars eius communis ſolido AEBFG, quàm conus GLH:
                <lb/>
              ſed ſolidum AEBFC æquale eſt cono GBH; reliquum
                <lb/>
              igitur ſolidi AEBFC dicto communi ablato, maius erit
                <lb/>
              coni GBH reliquo BGLH; minor igitur proportio eſt </s>
            </p>
          </chap>
        </body>
      </text>
    </archimedes>
Impressum