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
341 302
342 303
343 304
344 305
345 306
346 307
347 308
348 309
349 310
350 311
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
< >
page |< < (400) of 458 > >|
    <echo version="1.0RC">
      <text xml:lang="la" type="free">
        <div xml:id="echoid-div1142" type="section" level="1" n="368">
          <pb o="400" file="0438" n="439" rhead="Archimedis"/>
          <p>
            <s xml:id="echoid-s13355" xml:space="preserve">Educamus igitur E G parallelam ipſi
              <lb/>
              <figure xlink:label="fig-0438-01" xlink:href="fig-0438-01a" number="507">
                <image file="0438-01" xlink:href="http://echo.mpiwg-berlin.mpg.de/zogilib?fn=/permanent/library/xxxxxxxx/figures/0438-01"/>
              </figure>
            A B, & </s>
            <s xml:id="echoid-s13356" xml:space="preserve">iungamus D B, D G: </s>
            <s xml:id="echoid-s13357" xml:space="preserve">& </s>
            <s xml:id="echoid-s13358" xml:space="preserve">quia duo
              <lb/>
            anguli D E G, D G E ſunt æquales, erit
              <lb/>
            angulus G D C duplus anguli D E G,
              <lb/>
            & </s>
            <s xml:id="echoid-s13359" xml:space="preserve">quia angulus B D C æqualis eſt angu-
              <lb/>
            lo B C D, & </s>
            <s xml:id="echoid-s13360" xml:space="preserve">angulus C E G æqualis eſt
              <lb/>
            angulo A C E, erit angulus G D C du-
              <lb/>
            plus anguli C D B, & </s>
            <s xml:id="echoid-s13361" xml:space="preserve">totus angulus B
              <lb/>
            D G triplus anguli B D C, & </s>
            <s xml:id="echoid-s13362" xml:space="preserve">arcus B G
              <lb/>
            æqualis arcui A E, triplus eſt arcus B F,
              <lb/>
            & </s>
            <s xml:id="echoid-s13363" xml:space="preserve">hoc eſt, quod voluimus.</s>
            <s xml:id="echoid-s13364" xml:space="preserve"/>
          </p>
        </div>
        <div xml:id="echoid-div1144" type="section" level="1" n="369">
          <head xml:id="echoid-head461" xml:space="preserve">SCHOLIVM ALMOCHTASSO.</head>
          <p>
            <s xml:id="echoid-s13365" xml:space="preserve">DIcit Doctor Almoch-
              <lb/>
              <figure xlink:label="fig-0438-02" xlink:href="fig-0438-02a" number="508">
                <image file="0438-02" xlink:href="http://echo.mpiwg-berlin.mpg.de/zogilib?fn=/permanent/library/xxxxxxxx/figures/0438-02"/>
              </figure>
            taſſo. </s>
            <s xml:id="echoid-s13366" xml:space="preserve">Cum dicit ar-
              <lb/>
            cum B G æqualem eſſe ar-
              <lb/>
            cui A E, id ex eo eſt pro-
              <lb/>
            pter æquidiſtantiam duarum
              <lb/>
            cordarum. </s>
            <s xml:id="echoid-s13367" xml:space="preserve">Sint itaque in
              <lb/>
            circulo A B C cordæ A C,
              <lb/>
            B D parallelæ; </s>
            <s xml:id="echoid-s13368" xml:space="preserve">Dico quod
              <lb/>
            duo arcus A B, C D ſunt
              <lb/>
            æquales,</s>
          </p>
          <p>
            <s xml:id="echoid-s13369" xml:space="preserve">Iungamus A D, ergo duo anguli C A D, A D B ſunt æquales; </s>
            <s xml:id="echoid-s13370" xml:space="preserve">& </s>
            <s xml:id="echoid-s13371" xml:space="preserve">
              <lb/>
            propterea duo arcus ſunt æquales, & </s>
            <s xml:id="echoid-s13372" xml:space="preserve">conuerſum eodem modo demon-
              <lb/>
            ſtratur.</s>
            <s xml:id="echoid-s13373" xml:space="preserve"/>
          </p>
        </div>
        <div xml:id="echoid-div1146" type="section" level="1" n="370">
          <head xml:id="echoid-head462" xml:space="preserve">Notæ in Propoſit. VIII.</head>
          <p style="it">
            <s xml:id="echoid-s13374" xml:space="preserve">HAEc quidem propoſitio elegantiſſima eſt, quæ ſi problematicè reſolui poſ-
              <lb/>
            ſet via plana, reperta iam eßet tripartitio cuiuſlibet anguli.</s>
            <s xml:id="echoid-s13375" xml:space="preserve"/>
          </p>
          <p style="it">
            <s xml:id="echoid-s13376" xml:space="preserve">Breuius tamen demonſtratio
              <lb/>
              <figure xlink:label="fig-0438-03" xlink:href="fig-0438-03a" number="509">
                <image file="0438-03" xlink:href="http://echo.mpiwg-berlin.mpg.de/zogilib?fn=/permanent/library/xxxxxxxx/figures/0438-03"/>
              </figure>
            perfici poteſt hac ratione. </s>
            <s xml:id="echoid-s13377" xml:space="preserve">Iuncta
              <lb/>
            recta E B, quia in triangulo Iſo-
              <lb/>
            ſcele B D C duo anguli C, & </s>
            <s xml:id="echoid-s13378" xml:space="preserve">C
              <lb/>
            D B æquales ſunt, eſtque pariter
              <lb/>
            externus angulus B D C duplus an-
              <lb/>
            guli D E B in triangulo Iſoſcelio
              <lb/>
            D E B, ergo angulus C duplus eſt
              <lb/>
            anguli B E C, & </s>
            <s xml:id="echoid-s13379" xml:space="preserve">propterea illi an-
              <lb/>
            guli ſimul ſumpti, ſeu externus an-
              <lb/>
            gulus A B E triplus erit anguli B
              <lb/>
            E F, & </s>
            <s xml:id="echoid-s13380" xml:space="preserve">circunferentia A E tripla ipſius B F.</s>
            <s xml:id="echoid-s13381" xml:space="preserve"/>
          </p>
        </div>
      </text>
    </echo>
Impressum