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Euclid: Elementa

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gre V,5
Ἐὰν μέγεθος μεγέθους ἰσάκις ᾖ πολλαπλάσιον, ὅπερ ἀφαιρεθὲν ἀφαιρεθέντος, καὶ τὸ λοιπὸν τοῦ λοιποῦ ἰσάκις ἔσται πολλαπλάσιον, ὁσαπλάσιόν ἐστι τὸ ὅλον τοῦ ὅλου.
Pic2574
eng
If a magnitude be the same multiple of a magnitude that a part subtracted is of a part subtracted, the remainder will also be the same multiple of the remainder that the whole is of the whole.
lat Sic
Si quantitas quantitatis eque fuerit multiplex quod ablatum ablati, et reliquum reliqui (eque) erit multiplex quam multiplex est totum totius.
lat Gerard
No Latin
lat Adelard
No Latin
lat Hermann
No Latin
ara Uppsala
No Arabic
ara Tuṣi
No Arabic
ara Nairizi
No Arabic
san
No Sanskrit
lat Clavius
SI magnitudo magnitudinis aeque fuerit multiplex, atque ablata ablatae : Etiam reliqua reliquae ita multiplex erit, ut tota totius.
kin 幾何原本 p. 238
大小兩幾何。此全所倍於彼全。若此全截取之分、所倍於彼全截取之分。則此全之分餘、所倍於彼全之分餘。亦如之。
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