Full text: Pergaeus, Apollonius: Apollonii Pergaei Conicorvm Lib. V. VI. VII. paraphraste Abalphato Asphahanensi

324. Notæ in Propoſit. XXXXIV. & XXXXV.

QVia C A maior eſt, quàm A F, vel ſi minor eſt quadratum ex C A,
minor non eſt dimidio quadrati ex differentia C A, & A F, eſtque H
A ad A G vt A C ad A F, & H A ad G H, vt A C ad differen-
tiam ipſarum A C, A F, ergo quadratum H A ad dimidium quadrati G H
erit vt quadratum A C ad dimidium quadrati ex differentia ipſarum A C, & A F, quare quadratum ex H A minor non erit ſemiſſe quadrati H G, ideoq; duplum quadrati A H minor non erit quadrato H G, eſtque duplum rectanguli
E H A, vel M H E maius duplo quadrati A H, ſeu maius quadrato H G; propterea duplum E H ad H G maiorem proportionem habebit, quàm G H
ad H A, ideoque duplum rectanguli ex G A, H A in A H maius erit quadra-
tis ex G A, & ex A H, & inſuper ſumma quadratorum ex I L, & ex I K
maior erit, quàm ſumma quadratorum ex C A, & ex A F.

324.1.

0377-01
Lem. 10.
Lem 12.

325. Notæ in Propoſit. XXXXVI.

QVia quadratum axis C A minus eſt ſemiße quadrati ex differentia ipſa-
rum A C, & A @, eſtque H A ad A G, vt C A ad A F, atque G H
eſt differentia ipſarum A H, & A G, igitur quadratum ex A H

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