# Data ζ΄.

Euclid, Data, ζ΄.. Ancient Greek.

Canonical: https://interlinea.aeterna-institute.org/library/greek/euclid/data/%CE%B6%CE%84.

Ἐὰν δεδομένον μέγεθος εἰς δεδομένον λόγον διαι- ρεθῇ, ἑκάτερον τῶν τμημάτων δεδομένον ἐστίν. δεδομένον γὰρ μέγεθος τὸ ΑΒ εἰς δεδομένον λόγον διῃρήσθω τὸν τοῦ ΑΓ πρὸς ΓΒ· λέγω, ὅτι ἑκάτερον τῶν ΑΓ, ΓΒ δοθέν ἐστιν. ἐπεὶ γὰρ λόγος ἐστὶ τοῦ ΑΓ πρὸς ΓΒ δοθείς, λόγος ἄρα καὶ τοῦ ΑΒ πρὸς ἑκάτερον τῶν ΑΓ, ΓΕ δοθείς. δοθὲν δὲ τὸ ΑΒ· δοθὲν ἄρα καὶ ἑκάτερον τῶν ΑΓ, ΓΒ.

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Euclid, Data, ed. Johan Ludvig Heiberg, 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.tlg007.local001/.