# Fragmenta 6.6

Euclid, Fragmenta, Chapter 6. Ancient Greek.

Canonical: https://interlinea.aeterna-institute.org/library/greek/euclid/fragmenta/6.6

ϛ΄. Πάλιν, ἐὰν καταγραφή, καὶ παράλληλος ἡ ∠Ζ τῇ ΒΓ, γίνεται ἴση ἡ ΑΒ τῇ ΒΓ ἔστω οὖν ἴση· ὅτι παράλληλος. ἔστιν δέ· ἐὰν γὰρ τῇ ΕΒ προσθῶ τῇ Ηβ ἴσην τὴν ΒΘ καὶ ἐπιζεύξω τὰς ΑΘ, ΘΓ, γίνεται παραλληλόγραμμον τὸ ΑΘΓΗ, καὶ διὰ τοῦτό ἐστιν, ὡς ἡ Α∠ πρὸς τὴν ∠Ε, οὕτως ἡ Γ πρὸς τὴν ΖΕ· ἑκάτερος γὰρ τῶν εἰρημένων ὁ αὐτός ἐστιν τῷ τῆς Θ πρὸς τὴν ΗΕ λόγῳ· ὥστε παράλληλός ἐστιν ἡ ∠ τῇ ΑΓ.

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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/.