Apollonius <Pergaeus>, Apollonii Pergaei Conicorvm Lib. V. VI. VII. paraphraste Abalphato Asphahanensi : nunc primum editi ; additvs in calce Archimedis assvmptorvm liber, ex codibvs arabicis mss Abrahamus Ecchellensis Maronita latinos reddidit, Jo. Alfonsvs Borellvs curam in geometricis versione contulit & [et] notas vberiores in vniuersum opus adiecit

Page concordance

< >
Scan Original
311 273
312 274
313 275
314 276
315 277
316 278
317 279
318 280
319 281
320 282
321 283
322 284
323 285
324 286
325 287
326 288
327 289
328 290
329 291
330
331 292
332 293
333 294
334 295
335 296
336 297
337 298
338 299
339 300
340 301
< >
page |< < (24) of 458 > >|
    <echo version="1.0RC">
      <text xml:lang="la" type="free">
        <div xml:id="echoid-div88" type="section" level="1" n="49">
          <p style="it">
            <s xml:id="echoid-s1468" xml:space="preserve">
              <pb o="24" file="0062" n="62" rhead="Apollonij Pergæi"/>
            aggregato differentiali ab-
              <lb/>
              <figure xlink:label="fig-0062-01" xlink:href="fig-0062-01a" number="35">
                <image file="0062-01" xlink:href="http://echo.mpiwg-berlin.mpg.de/zogilib?fn=/permanent/library/xxxxxxxx/figures/0062-01"/>
              </figure>
            ſciſſarum ramorum I L, I
              <lb/>
            M ab abſciſſa rami breuiſ-
              <lb/>
            ſimi.</s>
            <s xml:id="echoid-s1469" xml:space="preserve"/>
          </p>
          <p style="it">
            <s xml:id="echoid-s1470" xml:space="preserve">Pari modo in hyperbola,
              <lb/>
            & </s>
            <s xml:id="echoid-s1471" xml:space="preserve">ellipſi quadratum I L ſu-
              <lb/>
            perat quadratum I M eodẽ
              <lb/>
            exceſſu, quo exemplar ap-
              <lb/>
              <note position="left" xlink:label="note-0062-01" xlink:href="note-0062-01a" xml:space="preserve">Ex 9. 10. h.</note>
            plicatum ad H P ſuperat
              <lb/>
            exemplar applicatum ad H
              <lb/>
            L; </s>
            <s xml:id="echoid-s1472" xml:space="preserve">ſed differentia exem-
              <lb/>
            plarium applicatorum ad H
              <lb/>
            P, & </s>
            <s xml:id="echoid-s1473" xml:space="preserve">H Q æqualis eſt re-
              <lb/>
            ctangulo ſub P Q exceſſu
              <lb/>
            differentiali, & </s>
            <s xml:id="echoid-s1474" xml:space="preserve">recta linea
              <lb/>
            compoſita ex X m, & </s>
            <s xml:id="echoid-s1475" xml:space="preserve">u l, ad quam ſumma
              <lb/>
            differentialis P H Q eandem proportionem
              <lb/>
              <figure xlink:label="fig-0062-02" xlink:href="fig-0062-02a" number="36">
                <image file="0062-02" xlink:href="http://echo.mpiwg-berlin.mpg.de/zogilib?fn=/permanent/library/xxxxxxxx/figures/0062-02"/>
              </figure>
            habet, quam latus trãſuerſum ad ſummam
              <lb/>
            in hyperbola, & </s>
            <s xml:id="echoid-s1476" xml:space="preserve">ad differentiam in ellipſi
              <lb/>
            laterum tranſuerſi, & </s>
            <s xml:id="echoid-s1477" xml:space="preserve">recti, vt in nota
              <lb/>
            propoſitionis 5. </s>
            <s xml:id="echoid-s1478" xml:space="preserve">oſtenſum eſt; </s>
            <s xml:id="echoid-s1479" xml:space="preserve">igitur quadra-
              <lb/>
            tum I L ſuperat quadratum I M iam dicto
              <lb/>
            rectangulo ſub P Q, & </s>
            <s xml:id="echoid-s1480" xml:space="preserve">ſub X m, & </s>
            <s xml:id="echoid-s1481" xml:space="preserve">u l,
              <lb/>
            quod erat oſtendendum.</s>
            <s xml:id="echoid-s1482" xml:space="preserve"/>
          </p>
        </div>
        <div xml:id="echoid-div102" type="section" level="1" n="50">
          <head xml:id="echoid-head76" xml:space="preserve">SECTIO IV.</head>
          <head xml:id="echoid-head77" xml:space="preserve">Continens Propoſit. VII.
            <lb/>
          & XII. Apollonij.</head>
          <p>
            <s xml:id="echoid-s1483" xml:space="preserve">SIfuerit menſura A
              <lb/>
              <figure xlink:label="fig-0062-03" xlink:href="fig-0062-03a" number="37">
                <image file="0062-03" xlink:href="http://echo.mpiwg-berlin.mpg.de/zogilib?fn=/permanent/library/xxxxxxxx/figures/0062-03"/>
              </figure>
            D minor com-
              <lb/>
              <note position="right" xlink:label="note-0062-02" xlink:href="note-0062-02a" xml:space="preserve">a</note>
            parata A E, (12.) </s>
            <s xml:id="echoid-s1484" xml:space="preserve">aut
              <lb/>
            ſit pars lineæ breuiſſi-
              <lb/>
            mæ, & </s>
            <s xml:id="echoid-s1485" xml:space="preserve">axis in ellipſi
              <lb/>
            ſit maior, erit A D
              <lb/>
            breuiſſimus ramorum
              <lb/>
            egredientium ex ori-
              <lb/>
            gine eius in omnibus
              <lb/>
            ſectionibus, vt ſunt F
              <lb/>
            D, G D, B D, C D,
              <lb/>
            & </s>
            <s xml:id="echoid-s1486" xml:space="preserve">proximior illi minor eſt remotiore, nempe F D quam G D, & </s>
            <s xml:id="echoid-s1487" xml:space="preserve">G
              <lb/>
            D, quàm B D.</s>
            <s xml:id="echoid-s1488" xml:space="preserve"/>
          </p>
        </div>
      </text>
    </echo>
Impressum