Ancient Greek
Section 25
Scholia in Euclidem, Scholia in opticorum recensionem Theonis (scholia vetera) 25
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25. Οὕτως ἡ ΓΚ p. 164, 25] διὰ τὸ ἰσογώνιον εἶναι τὸ ΒΓΚ τῷ ΘΖΚ καὶ ἔχειν ἀνάλογον τὰς πλευράς, ὡς τὴν ΒΓ πρὸς τὴν ΓΚ, τὴν ΘΖ πρὸς τὴν ΖΚ. ὥστε καὶ ἐναλλάξ, ὡς τὴν ΒΓ πρὸς τὴν ΘΖ, τὴν ΓΚ πρὸς τὴν ΖΚ. ἀλλʼ ὡς ἡ ΒΓ πρὸς τὴν ΘΖ, καὶ ἡ ∠Ζ πρὸς τὴν ΘΖ· ἴση γὰρ ἡ ∠Ζ τῇ ΒΓ. ὡς ἄρα ἡ ∠Ζ πρὸς τὴν ΘΖ, οὕτως ἡ ΓΚ πρὸς τὴν ΚΖ.