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

Page concordance

< >
Scan Original
281 261
282 262
283 263
284 264
285 265
286 266
287 267
288 268
289 269
290 270
291 271
292 272
293 273
294 274
295 275
296 276
297 277
298 278
299 279
300 280
301 281
302 282
303 283
304
305 285
306 286
307 287
308 288
309 289
310 290
< >
page |< < (279) of 569 > >|
    <echo version="1.0RC">
      <text xml:lang="la" type="free">
        <div xml:id="echoid-div673" type="section" level="1" n="394">
          <p>
            <s xml:id="echoid-s6877" xml:space="preserve">
              <pb o="279" file="0299" n="299" rhead="LIBER III."/>
            lutionem circa, CN. </s>
            <s xml:id="echoid-s6878" xml:space="preserve">Solida anularia ſtricta, patet ergo cylindrum
              <lb/>
            genitum ab, AN, ad ſolidum anulare ſtrictum genitum ex figura, B
              <lb/>
            DMO, quæcunque ſit, eſſe vt, AN, ad eandem figuram, BDM
              <lb/>
            O; </s>
            <s xml:id="echoid-s6879" xml:space="preserve">ſicq; </s>
            <s xml:id="echoid-s6880" xml:space="preserve">eſſe cætera ſolida ſimilaria genita ex his, iuxta ſumptamre.
              <lb/>
            </s>
            <s xml:id="echoid-s6881" xml:space="preserve">gulam ſiue, CN, ſiue, NE, vtrifq; </s>
            <s xml:id="echoid-s6882" xml:space="preserve">ſolidis communem.</s>
            <s xml:id="echoid-s6883" xml:space="preserve"/>
          </p>
        </div>
        <div xml:id="echoid-div675" type="section" level="1" n="395">
          <head xml:id="echoid-head412" xml:space="preserve">COROLLARIVM XXVII.</head>
          <p>
            <s xml:id="echoid-s6884" xml:space="preserve">IN Prop. </s>
            <s xml:id="echoid-s6885" xml:space="preserve">30. </s>
            <s xml:id="echoid-s6886" xml:space="preserve">colligimus ſolidum ſimilare genitum ex, AF, dem-
              <lb/>
            pto ſolido ſimilari genito ex, CF, ad ſolidum ſimilare genitum
              <lb/>
            ex figura, HBDMF, dempto ſolido ſimilari genito ex figura, HB
              <lb/>
            OMF, eſſe vt, AN, ad figuram, BDMO. </s>
            <s xml:id="echoid-s6887" xml:space="preserve">Aſſumatur hic illius fi-
              <lb/>
              <figure xlink:label="fig-0299-01" xlink:href="fig-0299-01a" number="194">
                <image file="0299-01" xlink:href="http://echo.mpiwg-berlin.mpg.de/zogilib?fn=/permanent/library/05TCTFNR/figures/0299-01"/>
              </figure>
            gura, & </s>
            <s xml:id="echoid-s6888" xml:space="preserve">pro noſtro exemplo
              <lb/>
            ſupponatur, AF, eſſe rectan-
              <lb/>
            gulum, reuoluaturq; </s>
            <s xml:id="echoid-s6889" xml:space="preserve">circa ma-
              <lb/>
            nentem axim, HF, cylindrus
              <lb/>
            ergo genitus ex, AF, dempto
              <lb/>
            cylindro genito ex, CF, ad ſo-
              <lb/>
            lidum genitum in reuolutione
              <lb/>
            ex figura, BDMO, erit vt, A
              <lb/>
            N, ad, BDMO; </s>
            <s xml:id="echoid-s6890" xml:space="preserve">ſolida autem
              <lb/>
            genita ex figuris inſcriptis re-
              <lb/>
            ctangulo, BDMO, cum con-
              <lb/>
            ditionibus ibirequiſitisvocabi-
              <lb/>
            mus communiter: </s>
            <s xml:id="echoid-s6891" xml:space="preserve">Solida anu-
              <lb/>
            laria lata; </s>
            <s xml:id="echoid-s6892" xml:space="preserve">eadem patent de cę-
              <lb/>
            teris ſolidis ſimilaribus genitis
              <lb/>
            ex, AN, & </s>
            <s xml:id="echoid-s6893" xml:space="preserve">figura, BDMO, etiamſi, AF, non ſit rectangulum,
              <lb/>
            quia tunc intelligo fieri generationem ſolidorum per deſcriptionem
              <lb/>
            ſimilium figumrum, & </s>
            <s xml:id="echoid-s6894" xml:space="preserve">non per reuolutionem, vt in exemplo ſolito
              <lb/>
            aſſumpſi, vnde patet, &</s>
            <s xml:id="echoid-s6895" xml:space="preserve">c.</s>
            <s xml:id="echoid-s6896" xml:space="preserve"/>
          </p>
        </div>
        <div xml:id="echoid-div677" type="section" level="1" n="396">
          <head xml:id="echoid-head413" xml:space="preserve">COROLLARIVM XXVIII.</head>
          <head xml:id="echoid-head414" xml:space="preserve">SECTIO PRIOR.</head>
          <p>
            <s xml:id="echoid-s6897" xml:space="preserve">IN Prop. </s>
            <s xml:id="echoid-s6898" xml:space="preserve">32. </s>
            <s xml:id="echoid-s6899" xml:space="preserve">docemur ſolidum ſimilare genitum ex, AR, ad ſo-
              <lb/>
            lidum ſibi ſimilare genitum ex figura, BCGRMD, demptis
              <lb/>
            ſolidis ſimilaribus genitis ex trilineis, BCG, GRM, eſſe vt, </s>
          </p>
        </div>
      </text>
    </echo>
Impressum