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Euclid: Elementa

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Euclid: Elementa
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gre V,16
Καὶ ἐπεὶ ἰσάκις ἐστὶ πολλαπλάσιον τὸ Ε τοῦ Α καὶ τὸ Ζ τοῦ Β, τὰ δὲ μέρη τοῖς ὡσαύτως πολλαπλασίοις τὸν αὐτὸν ἔχει λόγον, ἔστιν ἄρα ὡς τὸ Α πρὸς τὸ Β, οὕτως τὸ Ε πρὸς τὸ Ζ.
Pic2585
eng
Then, since E is the same multiple of A that F is of B, and parts have the same ratio as the same multiples of them, [V. 15] therefore, as A is to B, so is E to F.
lat Sic
Et quoniam eque sunt multiplicia quantitas E quantitatis A et quantitas Z quantitatis B, partes vero similiter multiplicibus eandem habent proportionem secundum alternas sumpte.
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
1 eritque E, ad F, ut A, ad B; cum E, et F, sint pariter multiplices partium A, et B.
1. 15. quinti.
kin 幾何原本
卽戊與己。若甲與乙也。本篇十五
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