# Synagoge 3.64

Pappus Alexandrinus, Synagoge, Book 3. Ancient Greek.

Canonical: https://interlinea.aeterna-institute.org/library/greek/pappus-alexandrinus/synagoge/3.64

64 μ΄. Εσιω δὲ ἀμβλεῖα ἡ γωνία καὶ τῇ ΓΒ πρὸς ὀρθὰς ἡ Β∠, καὶ τῆς μὲν ὑπὸ ∠ΒΓ τρίτον ἀπειλήφθω μέρος ἡ ὑπὸ ∠ΒΖ, τῆς δὲ ὑπὸ ΑΒ∠ ὀξείας γωνίας τρίτον ἡ ὑπὸ ΕΒ∠ (ταῦτα γὰρ ἡμῖν προδέδεικται)· καὶ ὅλης ἄρα τῆς ὑπὸ ΑΒΓ γωνίας τρίτον μέρος ἐστὶν ἡ ὑπὸ ΕΒΖ. ἐὰν δὲ τῇ ὑπὸ ΕΒΖ ἴσην συστησόμεθα προς ἑκατέραν τῶν ΑΒΓ, τρίχα τεμοῦμεν τὴν δοθεῖσαν γωνίαν.

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Pappus Alexandrinus, Synagoge, ed. Friedrich Hultsch. 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/tlg2032.tlg001.local001/.
