# Commentarius in dimensionem circuli 4

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

Canonical: https://interlinea.aeterna-institute.org/library/greek/eutocius/commentarius-in-dimensionem-circuli/4

Ἡ δὲ πρὸς ΓΖ λόγον ἔχει ὃν σξε πρὸς ρνγ | Ἐπεὶ γὰρ ἡ ΕΖ ὑπόκειται τϚ, ἐὰν αὐτὰ ἐφ᾿ ἑαυτὰ πολυπλασιάσωμεν, γενήσεται Μ γχλϚ. Ἡ δὲ ΓΖ ἐστὶ ρνγ· ὥστε τὸ ἀπʼ αὐτῆς ἔσται Μ γυθ. Ἐπεὶ οὖν τὸ ἀπὸ ΕΖ ἴσον ἐστὶ τοῖς ἀπὸ ΕΓ, ΓΖ, ἐὰν ἀπὸ τοῦ ἀπὸ ΕΖ ὄντος Μ γχλϚ ἀφέλωμεν τὸ ἀπὸ ΓΖ ὑπάρχον Μ γυθ, καταλειφθήσεται τὸ ἀπὸ ΕΓ Μσκζ, ὧν πλευρὰ τετραγωνικὴ σξε καὶ ἔτι μόριον ἐλάχιστον καὶ ἀνεπαίσθητον· λείπεται γὰρ ἡ τῶν σξε δύναμις τῆς ἀκριβοῦς μονάσιν β. Οἱ δὲ πολλαπλασιασμοὶ ὑπόκεινται·

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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/.