# Synagoge 28-2

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

Canonical: https://interlinea.aeterna-institute.org/library/greek/pappus-alexandrinus/synagoge/28-2

28 ιδ΄. Ἔστωσαν δύο κύκλοι καὶ πρὸς τοῖς κέντροις οὐτῶν ἴσαι γωνίαι ἔστωσαν αἱ ὑπὸ ΑΒΓ ∠ΕΖ περιεχύιιεναι, καὶ ἐφαπτύμεναι μὲν αἰ ΑΗ ∠Θ, κάθετοι δὲ αἰ ΑΚ ∠Λ δεῖξαι ὅτι ἐστὶν ὡς τὸ ΑΗΚ τρίγωνον πρὸς τὸ ΑΓΚ τρίγραμμον, οὕτως καὶ τὸ ∠ΘΛ τρίγωνον πρὸς τὸ ∠ΖΛ τρίγρεμμον. Ἔστι δέ φανερὸν ἐκ τοῦ προγεγραμμένου. ὅμοιον γὰρ γίνεται τὸ ΑΗΚ τρίγωνον τῷ ∠ΘΛ, καὶ τὸ ΑΓΚ τρίγραμμον τῷ ∠ΖΛ τριγράιιμῳ , καὶ λόγον ἔχει πρὸς ἄλληλα ἑκάτερον πρὸς ἑκάτερον, ὃν ἔχει τὸ ἀπὸ τῆς ΑΚ πρὸς τὸ ἀπὸ τῆς ∠Λ.

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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/.