# Synagoge 9-3

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

Canonical: https://interlinea.aeterna-institute.org/library/greek/pappus-alexandrinus/synagoge/9-3

9 δ΄. Οὐ μόνον δὲ τῶν τεταγμένων ἐπιπέδων σχημάτων, ἅ ἐστιν ἰσόπλευρά τε καὶ ἰσογώνια, ὁ κύκλος γίνεται μείζων, ἀλλὰ καὶ τῶν ἀνισοπλεύρων καὶ τῶν ἀνομοιογωνίων, ὅταν τὴν αὐτὴν αὐτοῖς περίμετρον ἔχῃ. δειχθήσεται γὰρ ὅτι καὶ τῶν ἰσοπεριμέτρων σχημάτων πολυγώνων καὶ πλευρὰς ἰσοπληθεῖς ἐχόντων τὸ μέγιστον ἰσόπλευρόν τέ ἐστιν καὶ ἶσογώνιον. πρότερον οὖν τὰ εἰς τὴν ἀπόδειξιν αὐτοῦ λαμβανόμενα θεωρήματα προγράψομεν.

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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/.