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

Page concordance

< >
Scan Original
151 131
152 132
153 133
154 134
155 135
156 136
157 137
158 138
159 139
160 140
161 141
162 142
163 143
164 144
165 145
166 146
167 147
168 148
169 149
170 150
171 151
172 152
173 153
174 154
175 155
176 156
177 157
178 158
179 159
180 160
< >
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