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
351 312
352 313
353 314
354 315
355 316
356 317
357 318
358 319
359 320
360 321
361 322
362 323
363 324
364 325
365 326
366 327
367 328
368 329
369 330
370 331
371 332
372 333
373 334
374 335
375 336
376 337
377 338
378 339
379 340
380 341
< >
page |< < (359) of 458 > >|
    <echo version="1.0RC">
      <text xml:lang="la" type="free">
        <div xml:id="echoid-div1066" type="section" level="1" n="336">
          <p>
            <s xml:id="echoid-s12384" xml:space="preserve">
              <pb o="359" file="0397" n="398" rhead="Conicor. Lib. VII."/>
            terius homologæ diametri, atque differentia quadrati axis ab
              <lb/>
            eius figura maior erit ſemidifferentia quadratorum duorum late-
              <lb/>
            rum figuræ ſuæ homologæ, & </s>
            <s xml:id="echoid-s12385" xml:space="preserve">minor erit integra differentia eo-
              <lb/>
            rundem quadratorum.</s>
            <s xml:id="echoid-s12386" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s12387" xml:space="preserve">In fectione A B N ſit axis A C maior in figura prima, & </s>
            <s xml:id="echoid-s12388" xml:space="preserve">in ſecunda
              <lb/>
            minor, ſintquè I L, P Q duæ aliæ diametri, quæ in ellipſi cadant inter
              <lb/>
            axim, & </s>
            <s xml:id="echoid-s12389" xml:space="preserve">vnã æqualium; </s>
            <s xml:id="echoid-s12390" xml:space="preserve">ducanturque duæ ordinationes A B, A N ad
              <lb/>
              <note position="left" xlink:label="note-0397-01" xlink:href="note-0397-01a" xml:space="preserve">b</note>
            diametros I L, P Q, & </s>
            <s xml:id="echoid-s12391" xml:space="preserve">duas ad axim perpendiculares B E, N M; </s>
            <s xml:id="echoid-s12392" xml:space="preserve">ſit-
              <lb/>
            que A F erectus ipſius A C, & </s>
            <s xml:id="echoid-s12393" xml:space="preserve">A G, C H duæ interceptæ: </s>
            <s xml:id="echoid-s12394" xml:space="preserve">ponaturque
              <lb/>
            in ellipſi X D æqualis E D, habebit E H ad H A minorem proportio-
              <lb/>
              <note position="left" xlink:label="note-0397-02" xlink:href="note-0397-02a" xml:space="preserve">c</note>
            nem in prima hyperbola, & </s>
            <s xml:id="echoid-s12395" xml:space="preserve">maiorem in reliquis, quàm E D ad D A,
              <lb/>
            ſeu quàm E X, quæ eſt ſumma in hyperbola, & </s>
            <s xml:id="echoid-s12396" xml:space="preserve">differentia in ellipſi
              <lb/>
            ipſarum E G, & </s>
            <s xml:id="echoid-s12397" xml:space="preserve">E H ad A C differentiam ipſarum H A, A G; </s>
            <s xml:id="echoid-s12398" xml:space="preserve">& </s>
            <s xml:id="echoid-s12399" xml:space="preserve">qua-
              <lb/>
              <figure xlink:label="fig-0397-01" xlink:href="fig-0397-01a" number="468">
                <image file="0397-01" xlink:href="http://echo.mpiwg-berlin.mpg.de/zogilib?fn=/permanent/library/xxxxxxxx/figures/0397-01"/>
              </figure>
            dratum A C in omnibus figuris ad differentiam quadratorum A C, & </s>
            <s xml:id="echoid-s12400" xml:space="preserve">
              <lb/>
            A F eandem proportionem habet, quàm quadratum A H ad differentiam
              <lb/>
            duorum quadratorum A H, & </s>
            <s xml:id="echoid-s12401" xml:space="preserve">G A: </s>
            <s xml:id="echoid-s12402" xml:space="preserve">atque E H ad H A minorem pro-
              <lb/>
            portionem habet in duabus primis figuris, & </s>
            <s xml:id="echoid-s12403" xml:space="preserve">maiorem proportionem in
              <lb/>
            duabus ſecundis, quàm E G ad G A, comparando homologorum ſum-
              <lb/>
            mas, erit E H ad H A, vt E H cum E G ad H A cum G A, nempe ag-
              <lb/>
            gregatum E H, E G in earundem differentiam ad aggregatum H A, A
              <lb/>
            G in earundem differentiam, quod eſt æquale differentiæ duorum qua-
              <lb/>
            dratorum E H, E G; </s>
            <s xml:id="echoid-s12404" xml:space="preserve">nempe quadratum A C ad differentiam quadrato-
              <lb/>
            rum duorum laterum figuræ I L minorem proportionem habet (in prima
              <lb/>
            ellipſi), & </s>
            <s xml:id="echoid-s12405" xml:space="preserve">maiorem (in ſecunda) quàm quadratum A H ad aggrega-
              <lb/>
            tum H A, A G in earundem differentiam, quod eſt æquale differentiæ
              <lb/>
            quadratorum H A, A G, nempe quadratum A C ad differentiam </s>
          </p>
        </div>
      </text>
    </echo>
Impressum