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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        <div xml:id="echoid-div937" type="section" level="1" n="295">
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            <s xml:id="echoid-s11035" xml:space="preserve">
              <pb o="308" file="0346" n="347" rhead="Apollonij Pergęi"/>
            ius eſt quadrato N O, & </s>
            <s xml:id="echoid-s11036" xml:space="preserve">qua-
              <lb/>
              <figure xlink:label="fig-0346-01" xlink:href="fig-0346-01a" number="407">
                <image file="0346-01" xlink:href="http://echo.mpiwg-berlin.mpg.de/zogilib?fn=/permanent/library/xxxxxxxx/figures/0346-01"/>
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            dratum S T maius quadrato V
              <lb/>
            X ; </s>
            <s xml:id="echoid-s11037" xml:space="preserve">ideoquè quando axis A C
              <lb/>
            maior eſt, quàm Q R, crit dia-
              <lb/>
            meter I L maior eius coniugata
              <lb/>
            N O, & </s>
            <s xml:id="echoid-s11038" xml:space="preserve">S T maior quàm V X.
              <lb/>
            </s>
            <s xml:id="echoid-s11039" xml:space="preserve">Pari ratione, quandò axis A C
              <lb/>
            minor eſt, quàm Q R erit H A
              <lb/>
            minor, quàm A G, & </s>
            <s xml:id="echoid-s11040" xml:space="preserve">H E mi-
              <lb/>
            nor, quàm E G, atque H M mi-
              <lb/>
            nor, quàm M G : </s>
            <s xml:id="echoid-s11041" xml:space="preserve">& </s>
            <s xml:id="echoid-s11042" xml:space="preserve">propterea
              <lb/>
            in ſecunda hyperbola, & </s>
            <s xml:id="echoid-s11043" xml:space="preserve">ſecun-
              <lb/>
            da ellipſi etiam diameter I L
              <lb/>
            minor erit, quàm N O, & </s>
            <s xml:id="echoid-s11044" xml:space="preserve">S T
              <lb/>
            minor erit quàm V X. </s>
            <s xml:id="echoid-s11045" xml:space="preserve">Idem,
              <lb/>
            contingit in reliquis diametris,
              <lb/>
            dummodò in ellipſi cadant inter
              <lb/>
            A, & </s>
            <s xml:id="echoid-s11046" xml:space="preserve">a, nam a b eſt ęqualis
              <lb/>
            ſuę coniugatę e d: </s>
            <s xml:id="echoid-s11047" xml:space="preserve">& </s>
            <s xml:id="echoid-s11048" xml:space="preserve">vltra pũ-
              <lb/>
            ctum a ad partes Q diametri
              <lb/>
            cadentes minores ſunt ſuis coniugatis in prima ellipſi, & </s>
            <s xml:id="echoid-s11049" xml:space="preserve">maiores in ſecunda,
              <lb/>
            cum propinquiores ſint axi Q R.</s>
            <s xml:id="echoid-s11050" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s11051" xml:space="preserve">Si verò fuerit vnus duorum axium in hyperbola aut ellipſi maior, tunc
              <lb/>
              <note position="right" xlink:label="note-0346-01" xlink:href="note-0346-01a" xml:space="preserve">a</note>
            eius homologa diameter coniugata maior eſt, &</s>
            <s xml:id="echoid-s11052" xml:space="preserve">c. </s>
            <s xml:id="echoid-s11053" xml:space="preserve">Non nulla in hoc texta
              <lb/>
            deficiunt; </s>
            <s xml:id="echoid-s11054" xml:space="preserve">non enim omnes diametri in ellipſi ſunt inęquales vt in Lemmate I.
              <lb/>
            </s>
            <s xml:id="echoid-s11055" xml:space="preserve">oſtenſum eſt, & </s>
            <s xml:id="echoid-s11056" xml:space="preserve">ideo textus corrigi debuit.</s>
            <s xml:id="echoid-s11057" xml:space="preserve"/>
          </p>
        </div>
        <div xml:id="echoid-div941" type="section" level="1" n="296">
          <head xml:id="echoid-head367" xml:space="preserve">Notę in Propoſit. XXI.</head>
          <p style="it">
            <s xml:id="echoid-s11058" xml:space="preserve">ET conuenient duo puncta H, & </s>
            <s xml:id="echoid-s11059" xml:space="preserve">G in puncto D ; </s>
            <s xml:id="echoid-s11060" xml:space="preserve">eritque A C ad Q
              <lb/>
              <note position="right" xlink:label="note-0346-02" xlink:href="note-0346-02a" xml:space="preserve">b</note>
            R, vt A D ad ſe ipſam, ſiue vt A C ad ſe ipſam, &</s>
            <s xml:id="echoid-s11061" xml:space="preserve">c. </s>
            <s xml:id="echoid-s11062" xml:space="preserve">Quia qua-
              <lb/>
              <figure xlink:label="fig-0346-02" xlink:href="fig-0346-02a" number="408">
                <image file="0346-02" xlink:href="http://echo.mpiwg-berlin.mpg.de/zogilib?fn=/permanent/library/xxxxxxxx/figures/0346-02"/>
              </figure>
            dratum A C ad quadratum Q R eſt
              <lb/>
            vt C G ad G A, & </s>
            <s xml:id="echoid-s11063" xml:space="preserve">vt quadratum,
              <lb/>
              <note position="left" xlink:label="note-0346-03" xlink:href="note-0346-03a" xml:space="preserve">Defin. 1.
                <lb/>
              Prop. 7.
                <lb/>
              huius.</note>
            I L ad quadratum N O, ita eſt H E
              <lb/>
            ad E G, nec non quadratum S T ad
              <lb/>
            quadratum V X eſt vt H M ad M G;
              <lb/>
            </s>
            <s xml:id="echoid-s11064" xml:space="preserve">ſed quandò axium quadrata ſunt inter
              <lb/>
            ſe ęqualia, tunc quidem pręſecta C G,
              <lb/>
            ſeu H A ęqualis eſt interceptę G A, & </s>
            <s xml:id="echoid-s11065" xml:space="preserve">
              <lb/>
            terminus G, ſeu H cadit in cẽtro D; </s>
            <s xml:id="echoid-s11066" xml:space="preserve">& </s>
            <s xml:id="echoid-s11067" xml:space="preserve">
              <lb/>
            ideo H E vel D E ęqualis eſt E G vel
              <lb/>
            E D : </s>
            <s xml:id="echoid-s11068" xml:space="preserve">pariterq; </s>
            <s xml:id="echoid-s11069" xml:space="preserve">H M ęqualis eſt M G: </s>
            <s xml:id="echoid-s11070" xml:space="preserve">
              <lb/>
            quarè coniugatarũ diametrorũ quadra-
              <lb/>
            ta ęqualia ſunt inter ſe; </s>
            <s xml:id="echoid-s11071" xml:space="preserve">& </s>
            <s xml:id="echoid-s11072" xml:space="preserve">etiã tranſ-
              <lb/>
            uer ſa latera ſuis erectis ęqualia erunt.</s>
            <s xml:id="echoid-s11073" xml:space="preserve"/>
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