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τῶν μὲν ἐννέα ἐστὶν ἐπίτριτα τῶν δ᾽ ὀκτὼ ἡμιόλια
τῶν δὲ σ᾽ διπλάσια. σύνθετος οὖν
ὁ τοῦ διπλασίου
[p. 196] λόγος ἐστὶν ἐκ τοῦ ἡμιολίου καὶ τοῦ ἐπιτρίτου, καθάπερ ὁ τοῦ διὰ πασῶν ἐκ τοῦ διὰ πέντε καὶ
τοῦ διὰ τεσσάρων ἀλλὰ κἀκεῖ τὸ διὰ πέντε τοῦ
διὰ τεσσάρων τόνῳ κἀνταῦθα τὸ ἡμιόλιον τοῦ ἐπιτρίτου
τῷ ἐπογδόῳ μεῖζόν ἐστι. φαίνεται τοίνυν, ὅτι τὸ διὰ πασῶν τὸν διπλάσιον λόγον ἔχει καὶ τὸ
διὰ πέντε τὸν ἡμιόλιον καὶ τὸ διὰ τεσσάρων τὸν ἐπίτριτον καὶ ὁ τόνος τὸν ἐπόγδοον.
Ἀποδεδειγμένου δὲ τούτου, σκοπῶμεν εἰ
δίχα τέμνεσθαι πέφυκε τὸ ἐπόγδοον: εἰ γὰρ μὴ
Plutarch. Moralia. Gregorius N. Bernardakis. Leipzig. Teubner. 1895. 6.
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