# Fragmenta 6.24

Euclid, Fragmenta, Chapter 6. Ancient Greek.

Canonical: https://interlinea.aeterna-institute.org/library/greek/euclid/fragmenta/6.24

κδ΄. Εὐθεῖα ἡ ΑΒ καὶ δύο σημεῖα τὰ Γ, Δ, καὶ ἔστω τὸ ἀπὸ Γ∠ τετράγωνον ἴσον τῷ δὲς ὑπὸ ΑΓ Β∠· ὅτι καὶ τὸ ἀπὸ ΑΒ τετράγωνον ἴσον ἐστὶν τοῖς ἀπὸ τῶν Α∠, ΓΒ τετραγώνοις. ἐπεὶ γὰρ τὸ ἀπὸ Γ∠ ἴσον ἐστὶν τῷ θὶς ὑπὸ ΑΓ, ∠Β, τὸ ἄρα δίς ὑπὸ ΑΓΒ ἴσον ἐστὶν τῷ τε ἀπὸ τῆς Γ∠ καὶ τῷ δὶς ὑπὸ τῶν ΑΓ∠. κοινὸν προσκείσθω τὸ ἀπὸ ΑΓ· τὸ ἄρα δὶς ὑπὸ ΑΓΒ μετὰ τοῦ ἀπὸ ΑΓ ἴσον ἐστὶν τῷ ἀπὸ Α∠. κοινὸν προσκείσθω τὸ ἀπὸ ΒΓ· ὅλον ἄρα τὸ ἀπὸ ΑΒ τετράγωνον ἴσον ἐστὶ τοῖς ἀπὸ τῶν Α∠, ΓΒ τετραγώνοις.

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Euclid, Fragmenta, 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/tlg1799.tlg016.local001/.