# Scholia in Euclidis catoptrica (scholia vetera) 52

Scholia in Euclidem, Scholia in Euclidis catoptrica (scholia vetera), Section 52. Ancient Greek.

Canonical: https://interlinea.aeterna-institute.org/library/greek/scholia-in-euclidem/scholia-in-euclidis-catoptrica-scholia-vetera/52

52. Μείζων δὲ ἡ ΜΑ τῆς ΑΛ οὕτως· ἐπεὶ παράλληλος ἡ ΒΛ τῇ ΠΜ, ἴση ἡ πρὸς τῷ Μ γωνία τῇ πρὸς τῷ Λ, ἐπειδὴ ὀρθὴ ἡ πρὸς τῷ Λ. ἔστι δὲ καὶ ἡ πρὸς τῷ Κ ἴση τῇ ὑπὸ ΠΑΜ διὰ τὸ τὴν μὲν πρὸς τῷ Κ ἴσην εἶναι τῇ πρὸς τῷ ∠, τὴν δὲ πρὸς τῷ ∠ τῇ κατὰ κορυφήν· ἰσογώνιον ἄρα τὸ ΠΑ Μ τρίγωνον τῷ ΒΑΛ. τῶν δὲ ἰσογωνίων ἀνάλογον αἱ πλευραὶ αἱ περὶ τὰς ἴσας γωνίας· ἔστιν ἄρα, ὡς ἡ ΠΜ πρὸς τὴν ΜΑ, οὕτως ἡ ΒΛ πρὸς ΛΑ· καὶ ἐναλλάξ, ὡς ἡ ΠΜ πρὸς τὴν ΒΛ, οὕτως ἡ ΜΑ πρὸς ΛΑ. μείζων δὲ ἡ ΜΑ τῆς ΛΑ· μείζων ἄρα καὶ ἡ ΠΜ τῆς ΒΛ.1) ὁμοίως καὶ ἡ ΜΘ τῆς ΛΓ.

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Scholia in Euclidem, Scholia in Euclidis catoptrica (scholia vetera), ed. Johan Ludvig Heiberg, H. 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/tlg5022.tlg005.local001/.