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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            aut minor illa (7. </s>
            <s xml:id="echoid-s1615" xml:space="preserve">ex quinto) eſ-
              <lb/>
            ſet linea breuiſſima A F, aut pars
              <lb/>
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                <image file="0066-01" xlink:href="http://echo.mpiwg-berlin.mpg.de/zogilib?fn=/permanent/library/xxxxxxxx/figures/0066-01"/>
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            illius, quod eſt falſum, igitur
              <lb/>
            maior eſt, quàm A C; </s>
            <s xml:id="echoid-s1616" xml:space="preserve">& </s>
            <s xml:id="echoid-s1617" xml:space="preserve">pro-
              <lb/>
            pterea A D ad A C maiorem
              <lb/>
            proportionem habet, quàm ad
              <lb/>
            A F; </s>
            <s xml:id="echoid-s1618" xml:space="preserve">ponamus ergo, vt A D ad
              <lb/>
            A C, ita D G ad G F in hyper-
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            bola, & </s>
            <s xml:id="echoid-s1619" xml:space="preserve">ellipſi; </s>
            <s xml:id="echoid-s1620" xml:space="preserve">at in parabola
              <lb/>
              <note position="right" xlink:label="note-0066-01" xlink:href="note-0066-01a" xml:space="preserve">b</note>
            ponamus G F æqualem A C, & </s>
            <s xml:id="echoid-s1621" xml:space="preserve">
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            ducatur ex G perpendicularis ad
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            ſectionem. </s>
            <s xml:id="echoid-s1622" xml:space="preserve">Dico, quod ei oc-
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            curret ad B. </s>
            <s xml:id="echoid-s1623" xml:space="preserve">Nam ſi occurrat
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            ſectioni ad aliud punctum, vt H co-
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              <figure xlink:label="fig-0066-02" xlink:href="fig-0066-02a" number="42">
                <image file="0066-02" xlink:href="http://echo.mpiwg-berlin.mpg.de/zogilib?fn=/permanent/library/xxxxxxxx/figures/0066-02"/>
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            niuncta H F erit H F breuiſſima (8. </s>
            <s xml:id="echoid-s1624" xml:space="preserve">9.
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            </s>
            <s xml:id="echoid-s1625" xml:space="preserve">10. </s>
            <s xml:id="echoid-s1626" xml:space="preserve">ex quinto) ſed ſuppoſuimus B F eſſe
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            breuiſſimam, quod eſt abſurdum, ergo
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            perpendicularis occurrit ſectioni in B. </s>
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            Et quia angulus B G F eſt rectus, erit
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            angulus B F G acutus, quod erat oſten-
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            dendum.</s>
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          <head xml:id="echoid-head84" xml:space="preserve">NOTÆ.</head>
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            <s xml:id="echoid-s1629" xml:space="preserve">ET eius potentialis ſecet menſuram
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            in parabola, &</s>
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            <s xml:id="echoid-s1631" xml:space="preserve">Ideſt, & </s>
            <s xml:id="echoid-s1632" xml:space="preserve">eius po-
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              <figure xlink:label="fig-0066-03" xlink:href="fig-0066-03a" number="43">
                <image file="0066-03" xlink:href="http://echo.mpiwg-berlin.mpg.de/zogilib?fn=/permanent/library/xxxxxxxx/figures/0066-03"/>
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            tentialis abſcindet ex menſura vſque ad originem,
              <lb/>
            in parabola quidem ſegmentum æquale compara-
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            tæ, & </s>
            <s xml:id="echoid-s1633" xml:space="preserve">in hyperbola, & </s>
            <s xml:id="echoid-s1634" xml:space="preserve">ellipſi lineam, ad quam
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            inuerſa eandem proporportionem habet, quam la-
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            tus tranſuerſum ad rectum.</s>
            <s xml:id="echoid-s1635" xml:space="preserve"/>
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            <s xml:id="echoid-s1636" xml:space="preserve">Et ducatur ex G perpendicularis ad ſectio-
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            nem, &</s>
            <s xml:id="echoid-s1637" xml:space="preserve">c. </s>
            <s xml:id="echoid-s1638" xml:space="preserve">Et ducatur ex G recta linea perpendi-
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            cularis ad axim, & </s>
            <s xml:id="echoid-s1639" xml:space="preserve">producatur vſque ad ſectio-
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            nem.</s>
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