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.
Page: 213 (175)
[212.] PROPOSITIO XVI.
Page: 215 (177)
[213.] PROPOSITIO XVII.
Page: 216 (178)
[214.] Notæ in Propoſit. XV.
Page: 219 (181)
[215.] MONITVM.
Page: 221 (183)
[216.] LEMMA VI.
Page: 221 (183)
[217.] LEMMA VII.
Page: 222 (184)
[218.] LEMMA VIII.
Page: 224 (186)
[219.] Notæ in Propoſit. XVI.
Page: 225 (187)
[220.] Notæ in Propoſit. XVII.
Page: 226 (188)
[221.] SECTIO SEPTIMA Continens Propoſit. XVIII. & XIX.
Page: 229 (191)
[222.] Notæ in Propoſit. XVIII. & XIX.
Page: 230 (192)
[223.] SECTIO OCTAVA Continens Propoſit. XX. & XXI. Apollonij. PROPOSITIO XX.
Page: 231 (193)
[224.] PROPOSITIO XXI.
Page: 233 (195)
[225.] PROPOSITIO XXII.
Page: 235 (197)
[226.] PROPOSITIO XXIII.
Page: 236 (198)
[227.] PROPOSITIO XXIV.
Page: 236 (198)
[228.] Notæ in Propoſit. XX.
Page: 237 (199)
[229.] Notæ in Propoſit. XXI.
Page: 241 (203)
[230.] Notæ in Propoſit. XXII.
Page: 243 (205)
[231.] Notæ in Propoſit. XXIII.
Page: 244 (206)
[232.] Notæ in Propoſit. XXIV.
Page: 245 (207)
[233.] SECTIO NONA Continens Propoſit. XXV.
Page: 245 (207)
[234.] Notæ in Propoſit. XXV.
Page: 246 (208)
[235.] LEMMA IX.
Page: 267 (229)
[236.] SECTIO DECIMA Continens Propoſit. XXVI. XXVII. & XXVIII. PROPOSITIO XXVI.
Page: 275 (237)
[237.] PROPOSITIO XXVII.
Page: 276 (238)
[238.] PROPOSITIO XXVIII.
Page: 278 (240)
[239.] Notæ in Propoſit. XXVI.
Page: 279 (241)
[240.] Notæ in Propoſit. XXVII.
Page: 280 (242)
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              <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
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            D, eò quod quælibet ex dictis proportionibus eadem eſt proportioni fi-
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            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">
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              <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
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            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
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              <note position="left" xlink:label="note-0214-02" xlink:href="note-0214-02a" xml:space="preserve">Propoſ. 2.
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              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
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            ſunt recti, vnde A P R, C Q S ſunt etiã ſimilia, & </s>
            <s xml:id="echoid-s6772" xml:space="preserve">proportio vniuſcuiuſq;
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            </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.
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            <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
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              <note position="left" xlink:label="note-0214-04" xlink:href="note-0214-04a" xml:space="preserve">37. lib. 1.</note>
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            figuræ duorum axiũ ſunt
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            ſimiles, & </s>
            <s xml:id="echoid-s6780" xml:space="preserve">duæ ſectiones
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            ſimiles ſunt (12. </s>
            <s xml:id="echoid-s6781" xml:space="preserve">ex 6.</s>
            <s xml:id="echoid-s6782" xml:space="preserve">(
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            ſed oportet in ellipſi, vt
              <lb/>
            duæ diametri, ideoque
              <lb/>
            duo axes ſint ſimul aut
              <lb/>
            tranſuerſi, aut ſimul re-
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            cti. </s>
            <s xml:id="echoid-s6783" xml:space="preserve">Et hoc erat propoſi-
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            tum.</s>
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