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

219181Conicor. Lib. VI. quadratũ O C,

244[Figure 244] nempe X O ad
O C; quare di-
uidendo, vel cõ-
ponendo, & ex
æqualitate A M
ad A E eſt vt C
O ad C F: & iã
oſtenſũ eſt, quod
duo anguli F,
& E ſunt æqua-
les. Quare pa-
tet propoſitum.

Notæ in Propoſit. XV.

SI figuræ diametrorum hyperbolarum, aut ellipſium fuerint ſimiles diſ-
11a ſimilium axium, & potentes illarum diametrorum contineant ſimul
angulos rectos, vtique ſectiones ſimiles ſunt, & c. Textus mendoſus huius
propoſitionis ex ſubſequenti expoſitione, & demonſtratione corrigi debuit.

Et G I in I N æquale ipſi T I in I B ad quadratum I B potentis eſt, vt
22b H L in L O æquale ipſi V L in L D ad quadratum L D; quia, & c. Quo-
niam à puncto B ſectionis A B ad diametrum K A I ducuntur ordinatim appli-
cata B I, & B N contingens ſectionem in B ſecantes diametrum in I, & N;
igitur rectangulum G I N ad quadratum ordinatim applicatæ I B eandem pro-
3337. lib. I.

245[Figure 245]

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