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Euclid: Elementa
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Q. E. D.
lat Clavius p. 101
Si igitur in circulo recta quaedam linea per centrum extensa, etc. Quod demonstrandum erat.

FACILE quoque demonstrari poterat secunda haec pars; quae quidem conuersa est primae partis, hac ratione. Si enim AF, perpendicularis est ad BD, erit tam quadratum rectae AB, aequale quadratis rectarum AF, FB, quam quadratum rectae AD, quadratis rectarum AF, FD.1 Cum igitur quadratum rectae AB, aequale sit quadrato rectae AD; erunt et quadrata rectarum AF, FB, aequalia quadratis rectarum AF, FD. Quare dempto communi quadrato rectae AF, remanebunt quadrata rectarum FB, FD, aequalia; atque idcirco et rectae FB, FD, aequales erunt.
1. 47. primi.
kin 幾何原本
欲顯次論之旨。

又有一說。如甲丁上直角方形。與甲己、己丁、上兩直角方形幷、等。一卷四七 而甲乙上直角方形。與甲己、乙己、上兩直角方形、幷。亦等、卽甲己、己乙、上兩直角方形、幷。與甲己。己丁、上兩直角方形幷、亦等。此二率者。每減一甲己上直角方形。則所存乙己、己丁、上兩直角方形、自相等。而兩邊亦等。
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