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

Apollonij Pergæi duplum rectanguli ex differentia ipſarum E H, & G M in M H maius erit
duobus quadratis ex G M, & ex M H, & propterea duo quadrata ex I L, & ex I K ſimul ſumpta maiora erunt duobus quadratis ex Q P, & ex P R.

335.1.

Lem. 13.
Lem. 15.
huius.
0394-01

Similiter duplum rectanguli E H A maius erit quadrato ex G H, & pro-
pterea duplum E H ad H G maiorem proportionem habebit, quàm G H ad H
A, & ideo duplum rectanguli ex differentia ipſarum A H, & G E in E H
maius erit duobus quadratis ex G E, & ex E H: igitur duo quadrata ex C A,
& A F maiora erunt duobus quadratis ex I L, & ex I K.

335.1.

Lem. 13.
huius.
Lem. 15.
huius.

Rurſus quia V H minor eſt, quàm M H erit duplum rectanguli V H M mi-
nus duplo quadrati M H, ſeu minus quadrato G H, igitur duplum V H ad
H G minorem proportionem habet, quàm G H ad H M, & propterea duplum
rectanguli ex differentia ipſarum M H, & G V in V H minus erit duobus
quadratis ex G V, & ex V H, & propterea duo quadrata ex Q P, & ex P
R minora erunt duobus quadratis ex T S, & ex S Z: ſi verò D V maior fue-
rit quàm D M, erunt duo quadrata ex Q P, & ex P R minora duobus qua-

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