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Euclid: Elementa

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Euclid: Elementa
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gre V,9
Τὰ πρὸς τὸ αὐτὸ τὸν αὐτὸν ἔχοντα λόγον ἴσα ἀλλήλοις ἐστίν: καὶ πρὸς ἃ τὸ αὐτὸ τὸν αὐτὸν ἔχει λόγον, ἐκεῖνα ἴσα ἐστίν.
Pic2578
eng
Magnitudes which have the same ratio to the same are equal to one another; and magnitudes to which the same has the same ratio are equal.
lat Sic
Ad idem eandem proportionem habentia equalia sibi invicem sunt. Et ad que idem eandem habet proportionem illa equalia sunt.
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. 245
兩幾何、與一幾何。各為比例、而等。則兩幾何必等。一幾何、與兩幾何。各為比例、而等。則兩幾何亦等。
先解曰。甲、乙、兩幾何。各與丙為比例、等。題言甲與乙等。
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