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="179" file="0217" n="217" rhead="Conicor. Lib. VI."/>
              <figure xlink:label="fig-0217-01" xlink:href="fig-0217-01a" number="241">
                <image file="0217-01" xlink:href="http://echo.mpiwg-berlin.mpg.de/zogilib?fn=/permanent/library/xxxxxxxx/figures/0217-01"/>
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            vt Y c in c F ad quadratum C c ( 39. </s>
            <s xml:id="echoid-s6851" xml:space="preserve">ex 1. </s>
            <s xml:id="echoid-s6852" xml:space="preserve">) quæ habent eandem pro-
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              <note position="right" xlink:label="note-0217-01" xlink:href="note-0217-01a" xml:space="preserve">37. lib. I.
                <lb/>
              12. huius.</note>
            portionem, quàm figuræ axis habent, & </s>
            <s xml:id="echoid-s6853" xml:space="preserve">angulus F ſuppoſitus eſt æqualis
              <lb/>
            E: </s>
            <s xml:id="echoid-s6854" xml:space="preserve">ergò Y c C ſimile eſt V a A: </s>
            <s xml:id="echoid-s6855" xml:space="preserve">& </s>
            <s xml:id="echoid-s6856" xml:space="preserve">propterea angulus Y æqualis eſt V,
              <lb/>
              <note position="left" xlink:label="note-0217-02" xlink:href="note-0217-02a" xml:space="preserve">b</note>
              <note position="right" xlink:label="note-0217-03" xlink:href="note-0217-03a" xml:space="preserve">6. præmiſ.
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              huius.</note>
            & </s>
            <s xml:id="echoid-s6857" xml:space="preserve">angulus F C Y æqualis E A V: </s>
            <s xml:id="echoid-s6858" xml:space="preserve">& </s>
            <s xml:id="echoid-s6859" xml:space="preserve">propter ſimilitudinem N D Y, L B
              <lb/>
            V æquales ſunt duo anguli C N S, A L R; </s>
            <s xml:id="echoid-s6860" xml:space="preserve">ergo ſimilia ſunt C N S, A L
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            R. </s>
            <s xml:id="echoid-s6861" xml:space="preserve">Quare C S aſſumpta ad ei coniugatam C N eſt vt R A ad A L: </s>
            <s xml:id="echoid-s6862" xml:space="preserve">& </s>
            <s xml:id="echoid-s6863" xml:space="preserve">po-
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            namus C Q ad duplam C F, vt C S ad C N, nec non A P ad duplam
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            A E, vt A R ad A L; </s>
            <s xml:id="echoid-s6864" xml:space="preserve">igitur Q C, A P ſunt erecti duarum diametrorum
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            C Y X, A V T ( 53. </s>
            <s xml:id="echoid-s6865" xml:space="preserve">54. </s>
            <s xml:id="echoid-s6866" xml:space="preserve">ex I. </s>
            <s xml:id="echoid-s6867" xml:space="preserve">) ſed C F ad C X duplam ipſius C Y eſt
              <lb/>
              <note position="right" xlink:label="note-0217-04" xlink:href="note-0217-04a" xml:space="preserve">50. lib. I.</note>
            vt A E ad A T duplam ipſius A V, propter ſimilitudinem C F Y, A E V:
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            </s>
            <s xml:id="echoid-s6868" xml:space="preserve">ergo ex æqualitate Q C ad C X diametrum inclinatam, ſeu tranſuerſam
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            eſt vt A P ad A T; </s>
            <s xml:id="echoid-s6869" xml:space="preserve">& </s>
            <s xml:id="echoid-s6870" xml:space="preserve">propterea figuræ earundem diametrorumſunt ſimi-
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              <note position="left" xlink:label="note-0217-05" xlink:href="note-0217-05a" xml:space="preserve">c</note>
            les, & </s>
            <s xml:id="echoid-s6871" xml:space="preserve">quia CO
              <lb/>
              <figure xlink:label="fig-0217-02" xlink:href="fig-0217-02a" number="242">
                <image file="0217-02" xlink:href="http://echo.mpiwg-berlin.mpg.de/zogilib?fn=/permanent/library/xxxxxxxx/figures/0217-02"/>
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            ad C F ſuppoſi-
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            ta eſt, vt A M
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            ad A E: </s>
            <s xml:id="echoid-s6872" xml:space="preserve">ergo ex
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            æqualitate Q C
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            ad C O eſt, vt
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            P A ad A M:
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            </s>
            <s xml:id="echoid-s6873" xml:space="preserve">Quare potentes
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            ad duo eius ab-
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            ſciſſa C O, A M,
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            à quibus diuidũ-
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            tur bifariam, eã-
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            dem proportio-
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            nem habent: </s>
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            proportio </s>
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