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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[211.] SECTIO SEXTA Continens Propoſit. XV. XVI. & XVII. PROPOSITIO XV.
[212.] PROPOSITIO XVI.
[213.] PROPOSITIO XVII.
[214.] Notæ in Propoſit. XV.
[215.] MONITVM.
[216.] LEMMA VI.
[217.] LEMMA VII.
[218.] LEMMA VIII.
[219.] Notæ in Propoſit. XVI.
[220.] Notæ in Propoſit. XVII.
[221.] SECTIO SEPTIMA Continens Propoſit. XVIII. & XIX.
[222.] Notæ in Propoſit. XVIII. & XIX.
[223.] SECTIO OCTAVA Continens Propoſit. XX. & XXI. Apollonij. PROPOSITIO XX.
[224.] PROPOSITIO XXI.
[225.] PROPOSITIO XXII.
[226.] PROPOSITIO XXIII.
[227.] PROPOSITIO XXIV.
[228.] Notæ in Propoſit. XX.
[229.] Notæ in Propoſit. XXI.
[230.] Notæ in Propoſit. XXII.
[231.] Notæ in Propoſit. XXIII.
[232.] Notæ in Propoſit. XXIV.
[233.] SECTIO NONA Continens Propoſit. XXV.
[234.] Notæ in Propoſit. XXV.
[235.] LEMMA IX.
[236.] SECTIO DECIMA Continens Propoſit. XXVI. XXVII. & XXVIII. PROPOSITIO XXVI.
[237.] PROPOSITIO XXVII.
[238.] PROPOSITIO XXVIII.
[239.] Notæ in Propoſit. XXVI.
[240.] Notæ in Propoſit. XXVII.
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            <s xml:id="echoid-s6763" xml:space="preserve">
              <pb o="176" file="0214" n="214" rhead="Apollonij Pergæi"/>
              <figure xlink:label="fig-0214-01" xlink:href="fig-0214-01a" number="237">
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            tum potentialis I B, vt H L in L O, ſeu L V in L D ad quadratum L
              <lb/>
            D, eò quod quælibet ex dictis proportionibus eadem eſt proportioni fi-
              <lb/>
            guræ K A, & </s>
            <s xml:id="echoid-s6764" xml:space="preserve">M C (39. </s>
            <s xml:id="echoid-s6765" xml:space="preserve">ex 1.)</s>
            <s xml:id="echoid-s6766" xml:space="preserve">, ergo T I ad I B eſt, vt V L ad L D, & </s>
            <s xml:id="echoid-s6767" xml:space="preserve">
              <lb/>
              <note position="left" xlink:label="note-0214-01" xlink:href="note-0214-01a" xml:space="preserve">37. lib. 1.</note>
            angulus I, qui æqualis eſt ipſi R A G æqualis eſt angulo L, qui æqualis
              <lb/>
            eſt S C H; </s>
            <s xml:id="echoid-s6768" xml:space="preserve">igitur angulus G æqualis etiam eſt angulo H: </s>
            <s xml:id="echoid-s6769" xml:space="preserve">& </s>
            <s xml:id="echoid-s6770" xml:space="preserve">propterea
              <lb/>
              <note position="left" xlink:label="note-0214-02" xlink:href="note-0214-02a" xml:space="preserve">Propoſ. 2.
                <lb/>
              præmiſſ.</note>
            G A R ſimile eſt H C S, & </s>
            <s xml:id="echoid-s6771" xml:space="preserve">pariter G A P, H C Q ſunt ſimilia, quia P, Q
              <lb/>
            ſunt recti, vnde A P R, C Q S ſunt etiã ſimilia, & </s>
            <s xml:id="echoid-s6772" xml:space="preserve">proportio vniuſcuiuſq;
              <lb/>
            </s>
            <s xml:id="echoid-s6773" xml:space="preserve">eorum, nempe G P, P R ad P A, eſt, vt proportio H Q, S Q ad C Q; </s>
            <s xml:id="echoid-s6774" xml:space="preserve">
              <lb/>
              <note position="right" xlink:label="note-0214-03" xlink:href="note-0214-03a" xml:space="preserve">c</note>
            igitur G P in P R ad quadratum P A, nempe B E ad erectum illius (39.
              <lb/>
            </s>
            <s xml:id="echoid-s6775" xml:space="preserve">ex 1.) </s>
            <s xml:id="echoid-s6776" xml:space="preserve">eſt vt H Q in Q S ad quadratum C Q, nempe D F ad erectum
              <lb/>
            illius (39. </s>
            <s xml:id="echoid-s6777" xml:space="preserve">ex 1.)</s>
            <s xml:id="echoid-s6778" xml:space="preserve">; </s>
            <s xml:id="echoid-s6779" xml:space="preserve">igitur
              <lb/>
              <note position="left" xlink:label="note-0214-04" xlink:href="note-0214-04a" xml:space="preserve">37. lib. 1.</note>
              <figure xlink:label="fig-0214-02" xlink:href="fig-0214-02a" number="238">
                <image file="0214-02" xlink:href="http://echo.mpiwg-berlin.mpg.de/zogilib?fn=/permanent/library/xxxxxxxx/figures/0214-02"/>
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            figuræ duorum axiũ ſunt
              <lb/>
            ſimiles, & </s>
            <s xml:id="echoid-s6780" xml:space="preserve">duæ ſectiones
              <lb/>
            ſimiles ſunt (12. </s>
            <s xml:id="echoid-s6781" xml:space="preserve">ex 6.</s>
            <s xml:id="echoid-s6782" xml:space="preserve">(
              <lb/>
            ſed oportet in ellipſi, vt
              <lb/>
            duæ diametri, ideoque
              <lb/>
            duo axes ſint ſimul aut
              <lb/>
            tranſuerſi, aut ſimul re-
              <lb/>
            cti. </s>
            <s xml:id="echoid-s6783" xml:space="preserve">Et hoc erat propoſi-
              <lb/>
            tum.</s>
            <s xml:id="echoid-s6784" xml:space="preserve"/>
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