# Scholia in Euclidis Data Ad prop. LXXVIII.

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.%20LXXVIII.

161. P. 150, 18–20] ἴσον δὲ τὸ ΖΗ τῳ ΕΚ· λόγος ἄρα τοῦ Γ∠ πρὸς τὸ ΕΚ δοθείς, ὥστε διὰ τοῦτο καὶ τῆς ΓΕ πρὸς ΕΘ λόγος ἐστὶ δοθεὶς διὰ τὸ ἀντιστρόφιον τοῦ α΄ τοῦ ϛ΄ βιβλίου Εὐκλείδου. 162. P.152,5–6] ἐπεὶ γὰρ λόγος ἐστὶ δοθεὶς τῆς ΕΘ πρὸς ΖΛ, ἀλλὰ τῆς ΕΘ πρὸς ΓΕ λόγος ἐστὶ δοθείς, καὶ τῆς ΓΕ ἄρα πρὸς ΖΛ λόγος δοθείς. ἴση δέ ἐστιν ἡ ΖΛ τῇ ΒΖ· τετράγωνον γάρ· καὶ τῆς ΓΕ ἄρα πρὸς ΖΒ λόγος δοθείς. ἀλλὰ τῆς ΖΒ πρὸς ΕΔ λόγος δοθείς· ὑπόκειται γάρ· καὶ τῆς ΓΕ ἄρα πρὸς Ε∠ λόγος δοθείς. καί ἐστιν ἴση ἡ Ε∠ τῇ ΓΜ· ἀπεναντίον γάρ· καὶ τῆς ΓΜ ἄρα πρὸς ΓΕ λόγος δοθείς. ὁμοίως δὴ καὶ αἱ λοιπαὶ πλευραί. καὶ ἐπεὶ δέδοται ἡ Ε· ὀρθὴ γάρ· ὥστε καὶ ἡ λοιπὴ εἰς β ὀρθὰς ἡ Γ, καὶ αἱ ἀπεναντίον· δέδοται ἄρα τῷ εἴδει τὸ Γ∠.

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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/.