Ancient Greek
Section 24
Scholia in Euclidem, Scholia in Euclidis catoptrica (scholia vetera) 24
Not analysed yet
24. Καὶ ἴσον τὸ ὁρώμενον p. 316, ἐὰν ἐπιζεύζωμεν ἀπὸ τοῦ Κ καὶ Ε ἐπὶ τὸ Θ, δύο αἱ ΚΖΘ δυσὶν ταῖς ΕΖΘ ἴσαι, καὶ γωνία καὶ γωνίᾳ, ὥστε καὶ γωνία ἡ ὑπὸ ΚΘΖ ἴση. ἐπεὶ οὖν ὅλη ἡ ὑπὸ ΛΘΖ ὅλῃ τῇ ὑπὸ ∠ΘΖ ἴση· ὀρθὴ γὰρ ἐκατέρα· ἐξ ὧν αἱ προρηθεῖσαι ἴσαι, λοιπὴ ἄρα ἡ ὑπὸ ΕΘ∠ λοιπῇ τῇ ὑπὸ ΚΘΛ ἴση. ἐπεὶ οὖν δύο αἱ ΚΘΛ δυσὶν ταῖς ΕΘΛ ἴσαι, καὶ γωνία γωνίᾳ, καὶ βάσις ἡ ΛΚ βάσει τῇ ∠Ε ἴση.