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Euclid: Elementa

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Euclid: Elementa
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gre V,22
Ἐὰν ᾖ ὁποσαοῦν μεγέθη καὶ ἄλλα αὐτοῖς ἴσα τὸ πλῆθος, σύνδυο λαμβανόμενα καὶ ἐν τῷ αὐτῷ λόγῳ, καὶ δι᾽ ἴσου ἐν τῷ αὐτῷ λόγῳ ἔσται.
Pic2591
eng
If there be any number of magnitudes whatever, and others equal to them in multitude, which taken two and two together are in the same ratio, they will also be in the same ratio ex aequali. If a:b=d:e and b:c=e:f then a:c=d:f.
lat Sic
Si fuerint quotlibet quantitates et alie ipsis equales multitudine bine sumpte in eadem proportione, et per equale in eadem proportione erunt.
lat Gerard
No Latin
lat Adelard
No Latin
lat Hermann
No Latin
ara Uppsala
No Arabic
ara Tuṣi
No Arabic
ara Nairizi
No Arabic
per Shirazi
.
san
No Sanskrit
lat Clavius
No Latin
kin 幾何原本 p. 263
有若干幾何。又有若干幾何。其數等。相為連比例。則以平理推。
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