Cavalieri, Buonaventura, Geometria indivisibilibvs continvorvm : noua quadam ratione promota

Table of figures

< >
[Figure 151]
Page: 243
[Figure 152]
Page: 245
[Figure 153]
Page: 246
[Figure 154]
Page: 247
[Figure 155]
Page: 250
[Figure 156]
Page: 250
[Figure 157]
Page: 252
[Figure 158]
Page: 253
[Figure 159]
Page: 255
[Figure 160]
Page: 258
[Figure 161]
Page: 260
[Figure 162]
Page: 262
[Figure 163]
Page: 264
[Figure 164]
Page: 266
[Figure 165]
Page: 268
[Figure 166]
Page: 270
[Figure 167]
Page: 271
[Figure 168]
Page: 271
[Figure 169]
Page: 272
[Figure 170]
Page: 274
[Figure 171]
Page: 275
[Figure 172]
Page: 280
[Figure 173]
Page: 281
[Figure 174]
Page: 282
[Figure 175]
Page: 283
[Figure 176]
Page: 283
[Figure 177]
Page: 284
[Figure 178]
Page: 284
[Figure 179]
Page: 285
[Figure 180]
Page: 288
< >
page |< < (140) of 569 > >|
    <echo version="1.0RC">
      <text xml:lang="la" type="free">
        <div xml:id="echoid-div342" type="section" level="1" n="210">
          <p>
            <s xml:id="echoid-s3315" xml:space="preserve">
              <pb o="140" file="0160" n="160" rhead="GEOMETRIÆ"/>
            ductarum ſic linearum fracta per ſuperficiem ambientem inueniri
              <lb/>
            poſtet, etiam illi homologa in fruſto, 3647, fracta eſſe deberet, quod
              <lb/>
            eſt abſurdum, nullam .</s>
            <s xml:id="echoid-s3316" xml:space="preserve">n. </s>
            <s xml:id="echoid-s3317" xml:space="preserve">ducibilium ipſi, 38, in ſolido, 3678, ęqui-
              <lb/>
            diſtanter linearum fractam eſſe iam ex conſtructione manifeſtum eſt,
              <lb/>
            fruſta autem, 3647, LDEF, eſſe inter ſe ſimilia, ſicut etiam, 6
              <lb/>
            {11/ }, D {14/ }, necnon, 9 {10/ } {11/ }8, MK {14/ } G 2 ex diffinitione ſimilium ſoli-
              <lb/>
            dorum liquidò apparet.</s>
            <s xml:id="echoid-s3318" xml:space="preserve"/>
          </p>
        </div>
        <div xml:id="echoid-div344" type="section" level="1" n="211">
          <head xml:id="echoid-head226" xml:space="preserve">D. SECTIO IV.</head>
          <p>
            <s xml:id="echoid-s3319" xml:space="preserve">EX his fruſtis autem duo accipiamus, quę ſimul cum homologis
              <lb/>
            partibus ipſarum, LG, 38, detruncantur, vt ipſa, LDEF,
              <lb/>
            3647, & </s>
            <s xml:id="echoid-s3320" xml:space="preserve">ponamus eadem ſeorſim, deinde ex maiori ipſarum, LE,
              <lb/>
            34, vt ex, LE, abſcindatur æquali minori .</s>
            <s xml:id="echoid-s3321" xml:space="preserve">ſ. </s>
            <s xml:id="echoid-s3322" xml:space="preserve">OE, æqualis ipſi, 34,
              <lb/>
            hoc facto intelligamus ſingulas, quæ tum in figura, LDE, tum in
              <lb/>
            figura, LFE, ipſi, LE, æquidiſtant, & </s>
            <s xml:id="echoid-s3323" xml:space="preserve">ſunt exiam dictis totæ in-
              <lb/>
              <figure xlink:label="fig-0160-01" xlink:href="fig-0160-01a" number="93">
                <image file="0160-01" xlink:href="http://echo.mpiwg-berlin.mpg.de/zogilib?fn=/permanent/library/05TCTFNR/figures/0160-01"/>
              </figure>
            terius integræ ſi-
              <lb/>
            militer, & </s>
            <s xml:id="echoid-s3324" xml:space="preserve">ad ean-
              <lb/>
            dem partem diui-
              <lb/>
            di, ac ſecatur, LE,
              <lb/>
            in, O, & </s>
            <s xml:id="echoid-s3325" xml:space="preserve">per di-
              <lb/>
            ctas ſectiones ex-
              <lb/>
            tenſas lineas, OD,
              <lb/>
            OF, vlterius ſecto
              <lb/>
            ſolido, LDEF,
              <lb/>
            plano vtcunq; </s>
            <s xml:id="echoid-s3326" xml:space="preserve">ip-
              <lb/>
            ſi, LFE, æquidi-
              <lb/>
            ſtante, quod in eo
              <lb/>
            producat figuram,
              <lb/>
            QMY, & </s>
            <s xml:id="echoid-s3327" xml:space="preserve">in ſigu-
              <lb/>
            ra, LDE, rectam, QY, in figura verò, DEF, rectam, YM, & </s>
            <s xml:id="echoid-s3328" xml:space="preserve">
              <lb/>
            in ſuperficie, LDF, lineam, QAM, intelligantur ſingulæ in figu-
              <lb/>
            ra, QYM, parallelæ ipſi, QY, ſimiliter, & </s>
            <s xml:id="echoid-s3329" xml:space="preserve">ad eandem partem di-
              <lb/>
            uidi, ac ſecatur, QY, in, T, & </s>
            <s xml:id="echoid-s3330" xml:space="preserve">per ipſas ſectiones concipiatur ex-
              <lb/>
            tenſa linea, TIM; </s>
            <s xml:id="echoid-s3331" xml:space="preserve">ſie autem fiat in cæteris figuris, quę in ſolido, L
              <lb/>
            DEF, ipſi, LEF, æquidiſtant, inuentis lineis, qualis eſt ipſa, TI
              <lb/>
            M, quorum termini erunt in lineis, DTO, DMF, per eaſdem au-
              <lb/>
            tem lineas ſic ſe habentes intelligamus extenſam ſuperficiem, cuius
              <lb/>
            termini erunt lineæ, DO, OF, FD, vt habeamus ſolidum, ODE
              <lb/>
            F, figuris, ODE, OEF, DEF, & </s>
            <s xml:id="echoid-s3332" xml:space="preserve">ſuperficie, DOF, comprehen-
              <lb/>
            ſum. </s>
            <s xml:id="echoid-s3333" xml:space="preserve">Quoniam ergo linea, OF, diuidit omnes ipfi, LE, in figura,
              <lb/>
            LEF, æquidiſtantes ſimiliter ad eandem partem, ac diuiditur, </s>
          </p>
        </div>
      </text>
    </echo>
Impressum