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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261223Conicor. Lib. VI. ad axim ducantur rami breuiſſimi O B, Q P præter axim A O, & ſecent ex-
118. 9. & 10.
lib. 5.
ternam curuam in G, E, R, &
occurſui Z, vel communi asymptoto I M N,
306[Figure 306] aut vicinioribus asymptotis I K, M N ſit A G propinquior, quàm E B, &
E B
propinquior, quàm R P:
Oſtendendum eſt curuarum diſtantiam A G minorem
eße, quàm B E, &
B E, quàm P R. Ducantur interceptæ G S parallela E B,
&
E X parallela R P. Et quia in parabola angulus Y D A rectus ſupponitur,
22SCHO-
LIVM.
Prop. 6.
addit.
&
in hyperbola non eſt minor ſemirecto, ergo quilibet ramus breuiſſimus E B,
vel R P æquidiſtans erit rectæ lineæ diuidenti angulum A D Y in parabsla, &

angulum M I H in hyperbola;
ſed duarum parallelarum E B, G S, vel R P,
E X eſt G S vertici propinquior, vel vlterius tendit ad partes asymptoti I K,
quàm E B;
ergo G S minor eſt, quàm E B; eſtque G A minor, quàm G S, quia
33Prop. 3. 4.
addit.
7. & 38.
lib. 5.
illa eſt portio, vel productio lineæ breuiſſimæ O A;
igitur G A adhuc minor erit
307[Figure 307] quàm E B.
Eadem ratione E B minor oſtendetur, quàm R P. Poſtea ſi occur-
ſus Z cadit extra duos axes, inter axim A G, &
occurſum aut ad partes

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