# Scholia in Euclidis Data Ad prop. XLV.

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.%20XLV.

96. Καὶ ἐπεί ἐστιν ὡς ἡ ΒΑ p. 82, 21] ὡς ἐν τῷ ς΄ τῶν στοιχείων (VI, 3)· ἐὰν τριγώνου ἡ γωνία δίχα τμηθῆ, ἡ δὲ τέμνουσα αὐτὴν ἐπὶ τὴν βάσιν ἀχθῇ, τὰ τῆς βάσεως καὶ τὰ ἑξῆς. εἰ δίχα τέτμηται ἡ ὑπὸ ΒΑΓ, ὡς ἡ ΓΑ πρὸς ΑΒ, ἡ Γ∠ πρὸς ∠Β· καὶ συνθέντι ὡς συναμφότερος ἡ ΓΑ, ΑΒ πρὸς ΑΒ, ἡ ΓΒ πρὸς Β∠· καὶ ἐναλλὰξ ὡς συναμφότερος ἡ ΓΑ, ΑΒ πρὸς ΓΒ, ἡ ΑΒ πρὸς Β∠. 97. Καὶ ὡς συναμφότερος ἄρα ἡ ΒΑΓ p. 82, 23] ὡς γὰρ ἓν τῶν ἡγουμένων πρὸς ἓν τῶν ἑπομένων, οὕτως ἅπαντα τὰ ἡγούμενα πρὸς ἅπαντα τὰ ἑπόμενα.

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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/.