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
251 213
252 214
253 215
254 216
255 217
256 218
257 219
258 220
259 221
260 222
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
< >
page |< < (98) of 458 > >|
    <echo version="1.0RC">
      <text xml:lang="la" type="free">
        <div xml:id="echoid-div374" type="section" level="1" n="120">
          <p>
            <s xml:id="echoid-s3987" xml:space="preserve">
              <pb o="98" file="0136" n="136" rhead="Apollonij Pergæi"/>
              <figure xlink:label="fig-0136-01" xlink:href="fig-0136-01a" number="120">
                <image file="0136-01" xlink:href="http://echo.mpiwg-berlin.mpg.de/zogilib?fn=/permanent/library/xxxxxxxx/figures/0136-01"/>
              </figure>
            te ellipſis C B ducuntur à concurſu E duo breuiſecantes E I, E H; </s>
            <s xml:id="echoid-s3988" xml:space="preserve">igitur (ex
              <lb/>
            propoſitione 72. </s>
            <s xml:id="echoid-s3989" xml:space="preserve">huius) erit breuiſecans E I vertici A propinquior maximus om-
              <lb/>
            nium ramorum cadentium ex concurſu E ad ellipſis peripheriam C H; </s>
            <s xml:id="echoid-s3990" xml:space="preserve">& </s>
            <s xml:id="echoid-s3991" xml:space="preserve">pro-
              <lb/>
            pinquior maximo E I maior erit remotiore, ſed non omnium ramorũ cadentium
              <lb/>
            ad quadrantem C B, ſed eorum ſolummodo, qui inter verticem C, & </s>
            <s xml:id="echoid-s3992" xml:space="preserve">infimum
              <lb/>
            breuiſecantem E H, & </s>
            <s xml:id="echoid-s3993" xml:space="preserve">aliquorum propè ipſum; </s>
            <s xml:id="echoid-s3994" xml:space="preserve">nam rami ſecantes cadentes pro-
              <lb/>
            pè punctum H hinc inde ſucceſsiuè augentur, vt dictum eſt in notis propoſ. </s>
            <s xml:id="echoid-s3995" xml:space="preserve">67.
              <lb/>
            </s>
            <s xml:id="echoid-s3996" xml:space="preserve">in eiuſque Corollario.</s>
            <s xml:id="echoid-s3997" xml:space="preserve"/>
          </p>
          <p style="it">
            <s xml:id="echoid-s3998" xml:space="preserve">Nec non, quia H M, G N ſunt duæ breuiſſimæ, conſtat, vt dictũ eſt, quod
              <lb/>
              <note position="right" xlink:label="note-0136-01" xlink:href="note-0136-01a" xml:space="preserve">c</note>
            G E ſit maximus ramorũ egredientiũ ex vtroque latere eius ad A H, &</s>
            <s xml:id="echoid-s3999" xml:space="preserve">c.
              <lb/>
            </s>
            <s xml:id="echoid-s4000" xml:space="preserve">Quorũ verborũ ſenſus hic eſt. </s>
            <s xml:id="echoid-s4001" xml:space="preserve">Quiaex concurſu E ducuntur duæ breuiſecantes E G
              <lb/>
            & </s>
            <s xml:id="echoid-s4002" xml:space="preserve">E H ad ſemiellipſim A B C, quarum E G ſecat vtrumq; </s>
            <s xml:id="echoid-s4003" xml:space="preserve">axim, at E H ſecat
              <lb/>
            tantummodo menſuram; </s>
            <s xml:id="echoid-s4004" xml:space="preserve">ergo, ſicuti in præcedenti propoſ. </s>
            <s xml:id="echoid-s4005" xml:space="preserve">74. </s>
            <s xml:id="echoid-s4006" xml:space="preserve">oſtenſum eſt, erit
              <lb/>
            ramus E G maximus omniũ cadentiũ ad peripheriam H A, &</s>
            <s xml:id="echoid-s4007" xml:space="preserve">c. </s>
            <s xml:id="echoid-s4008" xml:space="preserve">At quia dubitari
              <lb/>
            poſſet de certitudine huius conſequentiæ, quandoquidem hypotheſes non ſunt om-
              <lb/>
            nino eædem; </s>
            <s xml:id="echoid-s4009" xml:space="preserve">in propoſitione enim 74. </s>
            <s xml:id="echoid-s4010" xml:space="preserve">non tres, ſed duo tantummodo breuiſecan-
              <lb/>
            tes ex concurſu E ad ſectionem C B A ducebãtur, hic vero etiam tertia breui-
              <lb/>
            ſecans ducitur: </s>
            <s xml:id="echoid-s4011" xml:space="preserve">ſed ſi conſideretur progreſſus Apollonij, eandem concluſionem ex
              <lb/>
            vtraque hypotheſi deduci poſſe percipitur; </s>
            <s xml:id="echoid-s4012" xml:space="preserve">nam (ex propoſitione 72. </s>
            <s xml:id="echoid-s4013" xml:space="preserve">huius) bre-
              <lb/>
            uiſecans E H, infra breuiſecantem, E I poſitus, minimus eſt omnium ramorum
              <lb/>
            cadentium ex E ad peripheriam H B ellipſis, & </s>
            <s xml:id="echoid-s4014" xml:space="preserve">propinquior minimo E H mi-
              <lb/>
            nor eſt remotiore, reliquorum vero ramorum cadentium ad quadrantem B A ma-
              <lb/>
            ximus eſt breuiſecans E G, vt oſtenſum eſt in præcedenti propoſit. </s>
            <s xml:id="echoid-s4015" xml:space="preserve">74. </s>
            <s xml:id="echoid-s4016" xml:space="preserve">ex Lemma-
              <lb/>
            te 12. </s>
            <s xml:id="echoid-s4017" xml:space="preserve">huius, & </s>
            <s xml:id="echoid-s4018" xml:space="preserve">ex Corollario propoſit. </s>
            <s xml:id="echoid-s4019" xml:space="preserve">67, atque propinquior ramus maximo
              <lb/>
            E G eorum, qui ad quadrantem B A cadunt maior eſt remotiore; </s>
            <s xml:id="echoid-s4020" xml:space="preserve">quapropter ra-
              <lb/>
            mus E G maximus eſt omnium ramorum ex E ad ellipſis peripheriam H A ca-
              <lb/>
            dentium.</s>
            <s xml:id="echoid-s4021" xml:space="preserve"/>
          </p>
        </div>
      </text>
    </echo>
Impressum