# Synagoge 49-2

Pappus Alexandrinus, Synagoge, ΠΑΠΠΟΥ ΑΛΕΞΑΝΔΡΕΩΣ ΣΥΝΑΓΩΓΗΣ Ε.. Ancient Greek.

Canonical: https://interlinea.aeterna-institute.org/library/greek/pappus-alexandrinus/synagoge/49-2

49 κζ΄ (ή ). Οτι τὸ δὶς ὑπὸ ΡΗΘ μετὰ τοῦ ὑπὸ ΚΘΗ ἴσον τῷ ὑπὸ συναμφντέρου τῆς ΗΡΚ καὶ τῆς ΗΘ μετὰ τοῦ ἀπὸ ΗΘ. Κείσθω τῇ μὲν ΗΡ ίση ἡ ΡΣ, τῇ δὲ ΘΡ ἡ ΡΛ. λοιπὴ ἄρα ἡ ΛΣ τῇ ΘΗ ἐστὶν ἴση. ἐπεὶ οὖν τὸ ὑπὸ ΡΗΘ ἴσον ἐστὶν τῷ ὑπὸ ΡΘΗ. μετὰ τοῦ ἀπὸ ΗΘ, καὶ τὸ δὶς ἄρα ὑπὸ ΡΗΘ ἴσον ἐστὶν τῷ δὶς ὑπὸ ΡΘΗ μετὰ τοῦ δὶς ἀπὸ ΗΘ. ἴση δὲ ἡ μὲν ΗΡ τῇ ΡΣ, ἡ δὲ ΘΡ τῇ ΡΛ, ἴσον ἄρα τὸ ὑπὸ ΣΗΘ τῷ ὑπὸ ΛΘΗ μετὰ τοῦ δὶς ἀπὸ ΗΘ. κοινὸν προσκείσθω τὸ ὑπὸ ΚΘΗ τὸ ἔρα ὑπὸ ΣΗΘ μετὰ τοῦ ὑπὸ ΚΘΗ, τουτέστιν τοῦ ὑπὸ ΚΗΘ καὶ τοῦ ἀπὸ ΗΘ, τουτέστιν τὸ ὑπὸ συναμφοτέρου τῆς ΗΡΚ καὶ τῆς ΗΘ μετὰ τοῦ ἀπὸ ΗΘ, ἴσον ἐστὶν τῷ ὑπὸ ΜΘΗ μετὰ τοῦ δὶς ἀπὸ ΗΘ καὶ τοῦ ὑπὸ ΚΘΗ. ἴσον δὲ τὸ μὲν ὑπὸ ΛΘΗ μετὰ τοῦ ἀπὸ ΗΘ τῷ ὑπὸ ΛΗΘ, τὸ δέ ἀπὸ ΗΘ τῷ ὑπὸ ΗΘ ΜΣ. ἴσον ἄρα καὶ τὸ ὑπὸ ΣΗΘ, ὅπερ ἐστὶν τὸ δὶς ὑπὸ ΡΗΘ, μετὰ τοῦ ὑπὸ ΚΘΗ τῷ ὑπὸ συναμφοτέρου τῆς ΗΡΚ καὶ τῆς ΗΘ μετὰ τοῦ ἀπὸ ΗΘ.

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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/.