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

Page concordance

< >
Scan Original
371 351
372 352
373 353
374 354
375 355
376 356
377 357
378 358
379 359
380 360
381 361
382 362
383 363
384 364
385 365
386 366
387 367
388 368
389 369
390 370
391 371
392 372
393 373
394 374
395 375
396 376
397 377
398 378
399 379
400 380
< >
page |< < (356) of 569 > >|
    <echo version="1.0RC">
      <text xml:lang="la" type="free">
        <div xml:id="echoid-div863" type="section" level="1" n="513">
          <p>
            <s xml:id="echoid-s8928" xml:space="preserve">
              <pb o="356" file="0376" n="376" rhead="GEOMETRIÆ."/>
            parabolam, DBF, (hoc autem vocetur Semianulus latus parabot
              <lb/>
            licus) & </s>
            <s xml:id="echoid-s8929" xml:space="preserve">ad ſolidum genitum ex figura, HBDM, eſſe vt quadra.
              <lb/>
            </s>
            <s xml:id="echoid-s8930" xml:space="preserve">tum, DM, ad quadratum, ME, {1/2}. </s>
            <s xml:id="echoid-s8931" xml:space="preserve">quadrati, ED, cum rectangu-
              <lb/>
            lo ſub ſexquitertia, DE, & </s>
            <s xml:id="echoid-s8932" xml:space="preserve">ſub, EM, quod vocetur Semibaſis co-
              <lb/>
            lumnaris parabolica lata; </s>
            <s xml:id="echoid-s8933" xml:space="preserve">Et vniuerſaliter ſolidum ſimilare geni-
              <lb/>
              <figure xlink:label="fig-0376-01" xlink:href="fig-0376-01a" number="257">
                <image file="0376-01" xlink:href="http://echo.mpiwg-berlin.mpg.de/zogilib?fn=/permanent/library/05TCTFNR/figures/0376-01"/>
              </figure>
            tum ex, AM, ad ſibi ſimilare genitum ex figura, HBDM, habe-
              <lb/>
            re eandem rationem proximè dictæ ad idem verò dempto ſolido
              <lb/>
            ſimilari genito ex quadrilineo, BFMH, eſse vt, AF, ad parabo-
              <lb/>
            lam, DBF,.</s>
            <s xml:id="echoid-s8934" xml:space="preserve">. in ratione ſexq uialtera.</s>
            <s xml:id="echoid-s8935" xml:space="preserve"/>
          </p>
        </div>
        <div xml:id="echoid-div865" type="section" level="1" n="514">
          <head xml:id="echoid-head534" xml:space="preserve">SECTIO POSTERIOR,</head>
          <p>
            <s xml:id="echoid-s8936" xml:space="preserve">IN Coroll. </s>
            <s xml:id="echoid-s8937" xml:space="preserve">poteſt colligi etiam in Cor. </s>
            <s xml:id="echoid-s8938" xml:space="preserve">10. </s>
            <s xml:id="echoid-s8939" xml:space="preserve">Prop. </s>
            <s xml:id="echoid-s8940" xml:space="preserve">51. </s>
            <s xml:id="echoid-s8941" xml:space="preserve">Sect. </s>
            <s xml:id="echoid-s8942" xml:space="preserve">po-
              <lb/>
            ſter. </s>
            <s xml:id="echoid-s8943" xml:space="preserve">concludi poſse cylindrum in reuolutione genitum ex, AF,
              <lb/>
            ad ſemibaſim columnarem ſtrictam parabolicam genitam ex figu-
              <lb/>
            ra, CBDF, eſse vt quadratum, DF, ad quadratum, FE, {1/2}, qua
              <lb/>
            drati, ED, & </s>
            <s xml:id="echoid-s8944" xml:space="preserve">rectangulum ſub ſexquitertia, DE, & </s>
            <s xml:id="echoid-s8945" xml:space="preserve">ſub, EF, & </s>
            <s xml:id="echoid-s8946" xml:space="preserve">
              <lb/>
            ſic eſſe ſolida ſimilaria ex eiſdem genita iuxta communem regu-
              <lb/>
            lam DF.</s>
            <s xml:id="echoid-s8947" xml:space="preserve"/>
          </p>
        </div>
        <div xml:id="echoid-div866" type="section" level="1" n="515">
          <head xml:id="echoid-head535" xml:space="preserve">COROLL. XIII. SECTIO PRIOR.</head>
          <p>
            <s xml:id="echoid-s8948" xml:space="preserve">IN Prop. </s>
            <s xml:id="echoid-s8949" xml:space="preserve">35. </s>
            <s xml:id="echoid-s8950" xml:space="preserve">iterum aſsumpta antecedentis figura, patet cylin-
              <lb/>
            drum genitum in reuolutione ex, BM, .</s>
            <s xml:id="echoid-s8951" xml:space="preserve">i. </s>
            <s xml:id="echoid-s8952" xml:space="preserve">cylindrum, BY, ad
              <lb/>
            ſolidum genitum ex reuolutione figuræ, BHMF, .</s>
            <s xml:id="echoid-s8953" xml:space="preserve">ſ. </s>
            <s xml:id="echoid-s8954" xml:space="preserve">ad ſolidum,
              <lb/>
            BFKR, quod vocetur Semitympanum parabolicum, eſse vt qua-
              <lb/>
            dratum, EM, ad quadratum, MF, cum rectangulo ſub {2/3}. </s>
            <s xml:id="echoid-s8955" xml:space="preserve">EF, & </s>
            <s xml:id="echoid-s8956" xml:space="preserve">
              <lb/>
            FM, vna cum {1/6}. </s>
            <s xml:id="echoid-s8957" xml:space="preserve">quadrati, EF; </s>
            <s xml:id="echoid-s8958" xml:space="preserve">& </s>
            <s xml:id="echoid-s8959" xml:space="preserve">ſic eſse ſolidum ſimilare geni-
              <lb/>
            tum ex, BM, ad ſibi ſimilare genitum ex figura, BHMF, iuxta
              <lb/>
            communem regulam, DM.</s>
            <s xml:id="echoid-s8960" xml:space="preserve"/>
          </p>
        </div>
      </text>
    </echo>
Impressum