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
291 253
292 254
293 255
294 256
295 257
296 258
297 259
298 260
299 261
300 262
301 263
302 264
303 265
304 266
305 267
306 268
307 269
308 270
309 271
310 272
311 273
312 274
313 275
314 276
315 277
316 278
317 279
318 280
319 281
320 282
< >
page |< < (258) of 458 > >|
    <echo version="1.0RC">
      <text xml:lang="la" type="free">
        <div xml:id="echoid-div804" type="section" level="1" n="247">
          <p style="it">
            <s xml:id="echoid-s9718" xml:space="preserve">
              <pb o="258" file="0296" n="296" rhead="Apollonij Pergæi"/>
              <figure xlink:label="fig-0296-01" xlink:href="fig-0296-01a" number="343">
                <image file="0296-01" xlink:href="http://echo.mpiwg-berlin.mpg.de/zogilib?fn=/permanent/library/xxxxxxxx/figures/0296-01"/>
              </figure>
            quadratum Q A; </s>
            <s xml:id="echoid-s9719" xml:space="preserve">ſed in hac poſtrema ſuppoſitione conceditur quadratum B Q
              <lb/>
            ad quadratum Q A habere maiorem proportionem, quàm H E ad E I; </s>
            <s xml:id="echoid-s9720" xml:space="preserve">igitur
              <lb/>
            O N ad N L maiorem proportionem habebit, quàm H E ad E I; </s>
            <s xml:id="echoid-s9721" xml:space="preserve">ſed quia co-
              <lb/>
            nus E R T ponitur continere ſectionem D E F: </s>
            <s xml:id="echoid-s9722" xml:space="preserve">habebit O V ad V R eandem
              <lb/>
            proportionem, quàm H E ad E I (vt ex 53. </s>
            <s xml:id="echoid-s9723" xml:space="preserve">primi deducitur, & </s>
            <s xml:id="echoid-s9724" xml:space="preserve">in hac pro-
              <lb/>
            poſitione denuò factum eſt): </s>
            <s xml:id="echoid-s9725" xml:space="preserve">igitur O N ad N L maiorem proportionem habebit
              <lb/>
            quàm O V ad V R; </s>
            <s xml:id="echoid-s9726" xml:space="preserve">oſtenſa autem fuit O N ad N X, vt O V ad V R; </s>
            <s xml:id="echoid-s9727" xml:space="preserve">ergo O
              <lb/>
            N ad N L maiorem proportionem habebit, quàm O N ad N X: </s>
            <s xml:id="echoid-s9728" xml:space="preserve">quod eſt abſur-
              <lb/>
            dum, nam N X minor eſt, quàm N L.</s>
            <s xml:id="echoid-s9729" xml:space="preserve"/>
          </p>
        </div>
        <div xml:id="echoid-div814" type="section" level="1" n="248">
          <head xml:id="echoid-head311" xml:space="preserve">Notæ in Propoſit. XXXI.</head>
          <p>
            <s xml:id="echoid-s9730" xml:space="preserve">DEinde ſit ſectio elliptica A B C, & </s>
            <s xml:id="echoid-s9731" xml:space="preserve">tranſuerſa illius A C, & </s>
            <s xml:id="echoid-s9732" xml:space="preserve">erectus
              <lb/>
              <note position="right" xlink:label="note-0296-01" xlink:href="note-0296-01a" xml:space="preserve">a</note>
            A D, & </s>
            <s xml:id="echoid-s9733" xml:space="preserve">circunducamus ſuper A C in plano erecto ad ſectionis
              <lb/>
            planum A B C ſegmentum circuli, quod capiat angulum æqualem an-
              <lb/>
            gulo F: </s>
            <s xml:id="echoid-s9734" xml:space="preserve">&</s>
            <s xml:id="echoid-s9735" xml:space="preserve">c. </s>
            <s xml:id="echoid-s9736" xml:space="preserve">Rurſus conus exhiberi debet ſimilis cono dato E F G, qui datam
              <lb/>
            ellipſim A B C contineat, ſitque axis tranſuerſus ellipſis C A, eiuſque latus
              <lb/>
            rectum A D.</s>
            <s xml:id="echoid-s9737" xml:space="preserve"/>
          </p>
          <p style="it">
            <s xml:id="echoid-s9738" xml:space="preserve">Quia H I in I K, quod eſt æquale ipſi C I in I A, ad quadratum I A
              <lb/>
              <note position="right" xlink:label="note-0296-02" xlink:href="note-0296-02a" xml:space="preserve">b</note>
            eſt, vt A C ad A D, & </s>
            <s xml:id="echoid-s9739" xml:space="preserve">C I in A I ad quadratum I K nempe K N ad
              <lb/>
            N O propter ſimilitudinem duorum triangulorum, & </s>
            <s xml:id="echoid-s9740" xml:space="preserve">ex A I, nempe N
              <lb/>
            K ad I K nempe A N vt parallelas conſtituamus lineas, & </s>
            <s xml:id="echoid-s9741" xml:space="preserve">ex his dua-
              <lb/>
            bus proportionibus componitur proportio quadrati N K ad A N in N O,
              <lb/>
            &</s>
            <s xml:id="echoid-s9742" xml:space="preserve">c. </s>
            <s xml:id="echoid-s9743" xml:space="preserve">Senſus huius textus valdè corrupti hic eſt. </s>
            <s xml:id="echoid-s9744" xml:space="preserve">Quia ex conſtructione H I ad
              <lb/>
            I K erat vt C A ad A D, & </s>
            <s xml:id="echoid-s9745" xml:space="preserve">ſumpta communi altitudine I K, erit </s>
          </p>
        </div>
      </text>
    </echo>
Impressum