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
261 223
262 224
263 225
264 226
265 227
266 228
267 229
268 230
269 231
270 232
271 233
272 234
273 235
274 236
275 237
276 238
277 239
278 240
279 241
280 242
281 243
282 244
283 245
284 246
285 247
286 248
287 249
288 250
289 251
290 252
< >
page |< < (296) of 458 > >|
    <echo version="1.0RC">
      <text xml:lang="la" type="free">
        <div xml:id="echoid-div911" type="section" level="1" n="284">
          <pb o="296" file="0334" n="335" rhead="Apollonij Pergæi"/>
        </div>
        <div xml:id="echoid-div913" type="section" level="1" n="285">
          <head xml:id="echoid-head355" xml:space="preserve">Notæ in Propoſit. XIV. & XXV.</head>
          <p style="it">
            <s xml:id="echoid-s10749" xml:space="preserve">QVoniam nedum in hyperbola, ſed etiam in ellipſi quadratum A C ad ſum-
              <lb/>
            mam quadratorum ex I L, & </s>
            <s xml:id="echoid-s10750" xml:space="preserve">ex N O eandem proportionem habet, quã
              <lb/>
            A H ad ſummam ipſarum H E, & </s>
            <s xml:id="echoid-s10751" xml:space="preserve">E G, atque quadratorum ex I
              <lb/>
            L, & </s>
            <s xml:id="echoid-s10752" xml:space="preserve">ex N O ſumma ad eorundem quadratorum differentiam eandem propor-
              <lb/>
            tionem habet, quàm ipſarum H E, & </s>
            <s xml:id="echoid-s10753" xml:space="preserve">E G ſumma ad earundem differentiam;
              <lb/>
            </s>
            <s xml:id="echoid-s10754" xml:space="preserve">
              <figure xlink:label="fig-0334-01" xlink:href="fig-0334-01a" number="387">
                <image file="0334-01" xlink:href="http://echo.mpiwg-berlin.mpg.de/zogilib?fn=/permanent/library/xxxxxxxx/figures/0334-01"/>
              </figure>
            evgo ex æquali quadratum A C ad quadratorum ex I L, & </s>
            <s xml:id="echoid-s10755" xml:space="preserve">ex N O differen-
              <lb/>
            tiam eandem proportionem habet, quàm C G, ſiue H A ad ipſarum H E, & </s>
            <s xml:id="echoid-s10756" xml:space="preserve">
              <lb/>
            E G differentiam; </s>
            <s xml:id="echoid-s10757" xml:space="preserve">ſed in ellipſi ipſarum H E, & </s>
            <s xml:id="echoid-s10758" xml:space="preserve">E G differentia æqualis eſt
              <lb/>
            duplo E D; </s>
            <s xml:id="echoid-s10759" xml:space="preserve">igitur in ellipſi quadratum A C ad quadratorum ex I L, & </s>
            <s xml:id="echoid-s10760" xml:space="preserve">ex
              <lb/>
            N O differentiam eandem proportionem habebit, quàm præſecta C G ad duplum
              <lb/>
            inuerſæ E D.</s>
            <s xml:id="echoid-s10761" xml:space="preserve"/>
          </p>
        </div>
        <div xml:id="echoid-div915" type="section" level="1" n="286">
          <head xml:id="echoid-head356" xml:space="preserve">Notæ in Propoſit. XXVII.</head>
          <p style="it">
            <s xml:id="echoid-s10762" xml:space="preserve">ET oſtenſum iam eſt, quod I L in hyperbola maior eſt, quàm A C;
              <lb/>
            </s>
            <s xml:id="echoid-s10763" xml:space="preserve">
              <note position="right" xlink:label="note-0334-01" xlink:href="note-0334-01a" xml:space="preserve">C</note>
            ergo differentia A C, & </s>
            <s xml:id="echoid-s10764" xml:space="preserve">illius coniugati maior eſt, quàm differen-
              <lb/>
            tia homologorum ſuorum à ſuis coniugatis, & </s>
            <s xml:id="echoid-s10765" xml:space="preserve">differentia proximioris ho-
              <lb/>
            mologi ad ſuam coniugatam maior eſt differentia remotioris à ſua coniu-
              <lb/>
            gata, &</s>
            <s xml:id="echoid-s10766" xml:space="preserve">c. </s>
            <s xml:id="echoid-s10767" xml:space="preserve">Hoc autem ſic demonſtrabitur. </s>
            <s xml:id="echoid-s10768" xml:space="preserve">In diametris A C, & </s>
            <s xml:id="echoid-s10769" xml:space="preserve">I L produca-
              <lb/>
            tur A M æqualis Q R, & </s>
            <s xml:id="echoid-s10770" xml:space="preserve">I K æqualis N O, & </s>
            <s xml:id="echoid-s10771" xml:space="preserve">ab ijsdem ſecentur A S æqua-
              <lb/>
            lis Q R, & </s>
            <s xml:id="echoid-s10772" xml:space="preserve">I T æqualis N O. </s>
            <s xml:id="echoid-s10773" xml:space="preserve">Quoniam M S bifariam ſecatur in A, & </s>
            <s xml:id="echoid-s10774" xml:space="preserve">e
              <unsure/>
            </s>
          </p>
        </div>
      </text>
    </echo>
Impressum