# De planorum aequilibriis ιδ΄

Archimède, De planorum aequilibriis, ΕΠΙΠΕΔΩΝ ΙΣΟΡΡΟΠΙΩΝ Α΄. Ancient Greek.

Canonical: https://interlinea.aeterna-institute.org/library/greek/archimede/de-planorum-aequilibriis/%CE%B9%CE%B4%CE%84

Παντὸς τριγώνου κέντρον ἐστὶ τοῦ βάρεος τὸ σαμεῖον, καθʼ ὃ συμπίπτοντι τοῦ τριγώνου αἱ ἐκ τᾶν γωνιᾶν ἐπὶ μέσας τὰς πλευρὰς ἀγόμεναι εὐθεῖαι. Ἔστω τρίγωνον τὸ ΑΒΓ, καὶ ἄχθω ἁ μὲν Α△ ἐπὶ μέσαν τὰν ΒΓ, ἁ δὲ ΒΕ ἐπὶ μέσαν τὰν ΑΓ· ἐσσεῖται δὴ τοῦ ΑΒΓ τριγώνου κέντρον τοῦ βάρεος ἐφʼ ἑκατέρας τᾶν Α△, ΒΕ· δέδεικται γὰρ τοῦτο. Ὥστε τὸ Θ σαμεῖον κέντρον τοῦ βάρεός ἐστιν.

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Archimède, De planorum aequilibriis, ed. Charles Mugler. 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/tlg0552.tlg005.local001/.