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

0165-01

145. PROPOSITIO XXXVIII.

SI linea maxima, aut breuiſſima,
vt C B, producatur extra ſe-
ctionem A B ad D, erit eius portio
B D extra ſectionem abſciſſa mini-
ma omnium linearum D E, D F,
D A egredientium ab illo pnncto ad
circumferentiam ſectionis: reliqua-
rũ vero propinquior, illi minor eſt
remotiore.

145.1.

0165-02

Educatur B G, tangens ſectionem in
B; erit D B minor, quàm D H; ergo mul-
to minor eſt, quàm D E: & iungamus
F E, F A, erit angulus F E D obtuſus,
& propterea D E minor eſt, quàm D F,
& ſimiliter D F minor, quàm D A; quod
erat oſtendendum.

145.1.

a
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