# Synagoge 65

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

Canonical: https://interlinea.aeterna-institute.org/library/greek/pappus-alexandrinus/synagoge/65

65 λ΄. Ἂν δὲ θέλωμεν ἑκατέραν ἑκατέρᾳ ἴσην εἶναι, δεήσει τὴν μὲν ΑΓ τῆς ΑΒ μείζονα ὑποθέσθαι, τὴν δὲ ΒΓ τῆς ΒΑ ἐλάσσονα. Ἐχέτω γὰρ οὕτως, καὶ ὁμοίως ἡ ΒΕΖ περιφέρεια γεγράφθω, καὶ τὸ ∠ σημεῖον εἰλήφθω, καὶ ἐπεζεύχθωσαν αἱ ∠Α ∠Γ, καὶ τῆς ∠Γ ἐκβληθείσης τῇ ΒΓ ἴση κείσθω ἡ ∠Κ, καὶ ἢ ΚΗΘ περιφέρεια κατὰ τὸ αὐτὸ γραφεῖσα τεμνέτω τὴν Α∠ κατὰ τὸ Θ, τὴν δὲ ΑΖ κατὰ τὸ Η. ἐπεὶ δὲ μείζων ἡ ΑΒ τῆς ΒΓ, ἔσται καὶ τῆς ∠Θ μείζων. κείσθω αὐτῇ ἴση ἡ ∠Λ, καὶ περὶ κέντρον τὸ ∠ διὰ τοῦ Λ περιφέρεια γραφεῖσα τεμνέτω τὴν ΑΗ κατὰ τὸ Μ. δὴ ὅτι ἐπιζευχθεῖσα ἑκατέρα τῶν ∠Μ ∠Η ἴση ἔσται ἑκατέρᾳ τῶν ΑΒ ΒΓ.

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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/.