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

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          <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"/>
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            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.
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            </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"/>
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            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>
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