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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            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.
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              12. huius.</note>
            portionem, quàm figuræ axis habent, & </s>
            <s xml:id="echoid-s6853" xml:space="preserve">angulus F ſuppoſitus eſt æqualis
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            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,
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              <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>
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            <s xml:id="echoid-s6858" xml:space="preserve">& </s>
            <s xml:id="echoid-s6859" xml:space="preserve">propter ſimilitudinem N D Y, L B
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            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>
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            <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
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              <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 xml:id="echoid-s6868" xml:space="preserve">ergo ex æqualitate Q C ad C X diametrum inclinatam, ſeu tranſuerſam
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            les, & </s>
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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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            à quibus diuidũ-
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            proportio </s>
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