# Scholia in Euclidis Data Ad prop. LXV.

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.%20LXV.

127. Ὥστε καὶ τοῦ ὑπὸ τῶν ΓΒ∠ p. 120, 13] καί ἐστιν ὡς ἡ Β∠ πρὸς ∠Α, οὕτως τὸ ὑπὸ ΓΒ, ∠Β πρὸς τὸ ὑπὸ ΓΒ, Α∠. 128. Πόθεν, ὅτι ἐστὶν ὡς ἡ Β∠ πρὸς ∠Α, οὕτως καὶ τὸ ὑπὸ τῶν ∠Β, Β∠ πρὸς τὸ ὑπὸ τῶν ΒΓ. Α∠; ἐκκείσθω τις εὐθεῖα ἡ εζ καὶ ἀφῃρήσθω ἀπʼ αὐτῆς τῇ μὲν Β∠ ἴση ἡ εδ, τῇ δὲ ∠Α ἴση ἡ δζ, καὶ πρὸς ὀρθὰς ἡ ηδ ἴση οὗσα τῇ ΒΓ. ἐπεὶ οὖν ἐστιν ὡς ἡ εδ πρὸς δζ, οὕτως τὸ εη πρὸς ηζ, καί ἐστι τὸ μὲν εη τὸ ὑπὸ τῶν εδ, δη, τουτέστι τὸ ὑπὸ τῶν Β∠, ΒΓ, τὸ δὲ ηζ τὸ ὑπὸ τῶν ζδ, δη, τουτέστι τὸ ὑπὸ τῶν ΒΓ ∠Α· ἴση γὰρ ἡ μὲν δη τῇ ΒΓ, ἡ δὲ δζ τῇ ∠Α· λόγος ἄρα ἐστὶ καὶ τὰ ἑξῆς. 129. Καί ἐστι τὸ δὶς ὑπὸ των ΓΒ, Β∠ p.120,17–18] ὡς ἐν τῷ β΄ τῶν στοιχείων ἐν τῷ ιγ΄ θεωρήματι ἐν τοῖς ὀξυγωνίοις τριγώνοις.

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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/.