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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217179Conicor. Lib. VI.

241[Figure 241] vt Y c in c F ad quadratum C c ( 39. ex 1. ) quæ habent eandem pro-
1137. lib. I.
12. huius. portionem, quàm figuræ axis habent, & angulus F ſuppoſitus eſt æqualis
E: ergò Y c C ſimile eſt V a A: & propterea angulus Y æqualis eſt V,
22b336. præmiſ.
huius.& angulus F C Y æqualis E A V: & propter ſimilitudinem N D Y, L B
V æquales ſunt duo anguli C N S, A L R; ergo ſimilia ſunt C N S, A L
R. Quare C S aſſumpta ad ei coniugatam C N eſt vt R A ad A L: & po-
namus C Q ad duplam C F, vt C S ad C N, nec non A P ad duplam
A E, vt A R ad A L; igitur Q C, A P ſunt erecti duarum diametrorum
C Y X, A V T ( 53. 54. ex I. ) ſed C F ad C X duplam ipſius C Y eſt
4450. lib. I. vt A E ad A T duplam ipſius A V, propter ſimilitudinem C F Y, A E V:
ergo ex æqualitate Q C ad C X diametrum inclinatam, ſeu tranſuerſam
eſt vt A P ad A T; & propterea figuræ earundem diametrorumſunt ſimi-
55c les, & quia CO

242[Figure 242] ad C F ſuppoſi-
ta eſt, vt A M
ad A E: ergo ex
æqualitate Q C
ad C O eſt, vt
P A ad A M:
Quare potentes
ad duo eius ab-
ſciſſa C O, A M,
à quibus diuidũ-
tur bifariam, eã-
dem proportio-
nem habent: &
proportio

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