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

280. SECTIO QVARTA
Continens Propoſit. Apollonij XII. XIII.
XXIX. XVII. XXII. XXX.
XIV. & XXV.

XII. XIII. DIfferentia quadratorum duorum axium hy-
XXV. perboles æqualis eſt differentiæ quadra-
torum quarumlibet duarum diametrorum coniugatarum.

XXVIIII. Nempe differẽtiæ inter quadrata à figuris earumdẽ
diametrorum æquales ſunt.

XXVII. Et differentia duorum axium maior eſt differentia
quarumlibet duarum diametrorum coniugatarum.

XXII. Et ſumma quadratorũ duorum axium ellipſis æqualis
eſt ſummæ quadratorum quarumlibet duarum diametrorum con-
iugatarum.

XXX. Nempe ſummæ quadratorum, & figurarum earundem
diametrorum homologarum ſunt æquales.

XIIII. Axis verò tranſuerſi quadratũ ad differentiam quadra-
torum duarum diametrorum coniugatarum eandem proportio-
nem habet, quàm præſecta ad duplam inuerſæ.

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