# Commentarius in dimensionem circuli 2-2

Eutocius, Commentarius in dimensionem circuli, Εἰς τὸ γ΄ θεώρημα.. Ancient Greek.

Canonical: https://interlinea.aeterna-institute.org/library/greek/eutocius/commentarius-in-dimensionem-circuli/2-2

Καὶ ἡ ὑπὸ ΓΕΖ τρίτου ὀρθῆς | Ἐὰν γὰρ τὴν τοῦ ἑξαγώνου περιφέρειαν διχοτομήσαντες καὶ τὸ ἥμισυ αὐτῆς πρὸς τῷ Γ ἀπολαβόντες ἐπιζεύξωμεν τὴν ΕΖ, ἔσται ἡ ὑπὸ ΓΕΖ τρίτου ὀρθῆς. Ἡ γὰρ πρὸς τῷ Γ ἀποληφθεῖσα περιφέρεια ἡμίσεια οὖσα τῆς τοῦ ἑξαγώνου δωδέκατόν ἐστι τοῦ κύκλου. Ὥστε καὶ ἡ ὑπὸ ΓΕΖ γωνία πρὸς τῷ κέντρῳ οὖσα δωδέκατόν ἐστι τῶν τεσσάρων ὀρθῶν· τρίτου ἄρα ὀρθῆς.

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Eutocius, Commentarius in dimensionem circuli, ed. Charles Mugler. 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/tlg4072.tlg002.local001/.