# Scholia in Euclidis Data Ad prop. XXXIX.

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.%20XXXIX.

90. Δέδοται ἄρα p. 68, 19] ἐπεὶ οὖν δεδομέναι εἰσὶν αἱ ΚΕ, ΕΖ, ὁ πρὸς ἀλλήλας λόγος αὐτῶν δέδοται διὰ τὸ α΄. ὁμοίως δὲ καὶ τῶν ΕΖ, ΖΚ λόγος δέδοται· καὶ ἔτι ὁ τῶν ΖΚ, ΚΕ λόγος δέδοται. πάλιν, ἐπεὶ αἱ ΚΕ, ΕΖ δεδομέναι εἰσὶ τῇ θέσει, τὸν αὐτὸν ἄρα ἀεὶ τόπον ἐπέχουσιν. καὶ διὰ τοῦτο. δέδοται ἡ ὑπὸ ΚΕΖ τῷ μεγέθει. ὁμοίως δὲ καὶ ἡ ὑπὸ ΕΖΚ δέδοται τῷ μεγέθει· καὶ ἔτι ἡ ὑπὸ ΖΚΕ δέδοται τῷ μεγέθει.

---

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/.