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Euclid: Elementa

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Euclid: Elementa
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gre V,16
πάλιν, ἐπεὶ τὰ Η, Θ τῶν Γ, Δ ἰσάκις ἐστὶ πολλαπλάσια, ἔστιν ἄρα ὡς τὸ Γ πρὸς τὸ Δ, οὕτως τὸ Η πρὸς τὸ Θ. ὡς δὲ τὸ Γ πρὸς τὸ Δ, [οὕτως] τὸ Ε πρὸς τὸ Ζ: καὶ ὡς ἄρα τὸ Ε πρὸς τὸ Ζ, οὕτως τὸ Η πρὸς τὸ Θ.
Pic2585
eng
Again, since G, H are equimultiples of C, D, therefore, as C is to D, so is G to H. [V. 15] But, as C is to D, so is E to F; therefore also, as E is to F, so is G to H. [V. 11]
lat Sic
Rursum quoniam T, I quantitates quantitatum G, D eque sunt multiplicia, partes vero eadem modo 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
Rursus quia proportiones E, ad F, et G, ad H, eaedem sunt proportioni C, ad D; 1 erunt et ipsae eaedem inter se;
1. 11. quinti.
kin 幾何原本
卽戊與己。亦若丙與丁矣。依顯庚與辛。若丙與丁。卽戊與己。亦若庚與辛也。本篇十一
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