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
231 193
232 194
233 195
234 196
235 197
236 198
237 199
238 200
239 201
240 202
241 203
242 204
243 205
244 206
245 207
246 208
247 209
248 210
249 211
250 212
251 213
252 214
253 215
254 216
255 217
256 218
257 219
258 220
259 221
260 222
< >
page |< < (226) of 458 > >|
    <echo version="1.0RC">
      <text xml:lang="la" type="free">
        <div xml:id="echoid-div711" type="section" level="1" n="234">
          <pb o="226" file="0264" n="264" rhead="Apollonij Pergæi"/>
          <p style="it">
            <s xml:id="echoid-s8462" xml:space="preserve">Tandem ijſdem poſitis ducantur ex altera parte concurſus Z rami breuiſſimi
              <lb/>
            O C, Q T, qui eſſiciant diſtantias F C, T V. </s>
            <s xml:id="echoid-s8463" xml:space="preserve">Dico F C propinquiorem con-
              <lb/>
            curſui Z minorem eße, quàm T V. </s>
            <s xml:id="echoid-s8464" xml:space="preserve">Quoniam angulus Y D A, vel Y I M ſup-
              <lb/>
              <figure xlink:label="fig-0264-01" xlink:href="fig-0264-01a" number="310">
                <image file="0264-01" xlink:href="http://echo.mpiwg-berlin.mpg.de/zogilib?fn=/permanent/library/xxxxxxxx/figures/0264-01"/>
              </figure>
            ponitur acutus; </s>
            <s xml:id="echoid-s8465" xml:space="preserve">ſuntque I D Y, M A O inter ſe, parallelæ; </s>
            <s xml:id="echoid-s8466" xml:space="preserve">ergo angulus D A O,
              <lb/>
            vel I M O, & </s>
            <s xml:id="echoid-s8467" xml:space="preserve">multo magis I M N erit obtuſus; </s>
            <s xml:id="echoid-s8468" xml:space="preserve">ſed quilibet ramus breuiſſimus
              <lb/>
              <note position="left" xlink:label="note-0264-01" xlink:href="note-0264-01a" xml:space="preserve">13. 14.
                <lb/>
              lib. 5.</note>
            Q V T parallelus F a eſſicit cum axi A O angulũ acutũ; </s>
            <s xml:id="echoid-s8469" xml:space="preserve">igitur ramus breuiſſimus
              <lb/>
            Q T, & </s>
            <s xml:id="echoid-s8470" xml:space="preserve">ei parallelus F a ſunt æquidiſtantes alicui rectæ lineæ diuidenti angu-
              <lb/>
            lum D A O, vel I M N; </s>
            <s xml:id="echoid-s8471" xml:space="preserve">ideoque F a propinquior concurſui, vel vlterius ten-
              <lb/>
              <note position="left" xlink:label="note-0264-02" xlink:href="note-0264-02a" xml:space="preserve">Propoſ. 3.
                <lb/>
              & 4. add.</note>
            dens ad partes reliquæ asymptoti I H minor eſt, quàm T V; </s>
            <s xml:id="echoid-s8472" xml:space="preserve">eſtque F C minor
              <lb/>
            quàm F a (quia illa eſt portio rami breuiſſimi) ergo F C minor eſt, quàm T V.
              <lb/>
            </s>
            <s xml:id="echoid-s8473" xml:space="preserve">Quod erat propoſitum.</s>
            <s xml:id="echoid-s8474" xml:space="preserve"/>
          </p>
          <note position="left" xml:space="preserve">12. lib. 5.</note>
          <p style="it">
            <s xml:id="echoid-s8475" xml:space="preserve">In duabus hyperbolis C A D,
              <lb/>
              <note position="left" xlink:label="note-0264-04" xlink:href="note-0264-04a" xml:space="preserve">PROP. 9.
                <lb/>
              Addit.</note>
              <figure xlink:label="fig-0264-02" xlink:href="fig-0264-02a" number="311">
                <image file="0264-02" xlink:href="http://echo.mpiwg-berlin.mpg.de/zogilib?fn=/permanent/library/xxxxxxxx/figures/0264-02"/>
              </figure>
            H G I ſimilibus, concentricis,
              <lb/>
            & </s>
            <s xml:id="echoid-s8476" xml:space="preserve">ſimiliter poſitis circa com-
              <lb/>
            munem axim B A G, ideſt
              <lb/>
            conſiſtant circa cõmunes asym-
              <lb/>
            ptotos E B F: </s>
            <s xml:id="echoid-s8477" xml:space="preserve">Dico ſectionum
              <lb/>
            C A D, H G I interualla sẽ-
              <lb/>
            per minui, quo magis ab axis
              <lb/>
            vertice recedunt; </s>
            <s xml:id="echoid-s8478" xml:space="preserve">atque effici
              <lb/>
            poſſe minora interuallo quolibet
              <lb/>
            dato.</s>
            <s xml:id="echoid-s8479" xml:space="preserve"/>
          </p>
          <p style="it">
            <s xml:id="echoid-s8480" xml:space="preserve">Deſcribatur hyperbole M G N
              <lb/>
              <note position="left" xlink:label="note-0264-05" xlink:href="note-0264-05a" xml:space="preserve">12. huius.
                <lb/>
              & ex 53.
                <lb/>
              lib. 1.</note>
            æqualis, ſimilis, & </s>
            <s xml:id="echoid-s8481" xml:space="preserve">ſimiliter </s>
          </p>
        </div>
      </text>
    </echo>
Impressum