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

XXXXVII. Si verò duplum quadrati A C maius non fuerit
quadrato ex ſumma duorum laterum ſuæ figuræ; vtique quadra-
tum diametri ſuæ figuræ minus erit quadrato diametri figuræ cu-
iuſlibet alterius diametri eiuſdem ſectionis, & quadratum dia-
metri figuræ proximioris axi minus erit quadrato diametri figu-
ræ remotioris.

XXXXVIII. Si autem duplum quadrati axis tranſuerſi maius
fuerit quadrato ex ſumma duorum laterum ſuæ figuræ, æquidem
reperientur ad vtraſque eius partes duæ diametri æquales, & cu-
iuslibet earum quadratum bis ſumptum æquale erit quadrato ex
ſumma duorum laterum ſuæ figuræ; & quadratum diametri ſuæ
figuræ minus eſt quadrato diametri figuræ alterius cuiuſcunque
diametri exiſtentis in eodem quadrante eiuſdem ſectionis; & diameter figuræ proximioris minor eſt diametro figuræ remo-
tioris.

326.1.

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