# Scholia in Euclidis Data Ad prop. LXIX.

Scholia in Euclidem, Scholia in Euclidis Data, SCHOLIA.. Ancient Greek.

Canonical: https://interlinea.aeterna-institute.org/library/greek/scholia-in-euclidem/scholia-in-euclidis-data/Ad%20prop.%20LXIX.

137. Ἐπεὶ δοθεῖσά ἐστιν ἑκατέρα τῶν ὑπὸ ∠ΑΓ, ΑΚ∠ p. 130, 2] ἐπεὶ παράλληλός ἐστιν ἡ ∠Β τῇ ΑΓ, καὶ εἰς αὐτὰς ἐνέπεσεν εὐθεῖα ἡ Α∠, αἱ ἐντὸς γωνίαι αἱ ὑπὸ Β∠Α, ∠ΑΓ δυσὶν ὀρθαῖς ἴσαι εἰσίν. δέδοται δὲ ἡ ὑπὸ Β∠Α καὶ λοιπὴ ἡ ὑπὸ ∠ΑΓ λεί- πουσα εἰς τὰς ὀρθὰς δέδοται. δέδοται δὲ καὶ ἡ ὑπὸ ΑΚ∠ ἴση οὖσα τῇ ὑπὸ Κ∠Β ἐναλλὰξ οὔσῃ. 138. Καθόλου γάρ, ἐὰν παραλληλογράμμου μία γωνία δοθῇ, καὶ αἱ λοιπαὶ δεδομέναι εἰσίν. μιᾶς γὰρ δοθείσης ἐξ ἀνάγκης καὶ ἡ ἐφεξῆς δοθήσεται, ὥστε καὶ τῶν δοθεισῶν αἱ ἀπεναντίον δοθήσονται.

---

Scholia in Euclidem, Scholia in Euclidis Data, ed. Heinrich Menge. Text: The Greek Library, from the Perseus Digital Library and other open sources, CC BY-SA 4.0. Changes: apostrophes normalised and the text divided into reading sections by Interlinea.
License: CC BY-SA 4.0 (https://creativecommons.org/licenses/by-sa/4.0/). Source: https://thegreeklibrary.pages.lisn.upsaclay.fr/works/tlg5022.tlg002.local001/.