# De utilitate mathematicae 79

Theon Smyrnaeus, De utilitate mathematicae, Paragraph 79. Ancient Greek.

Canonical: https://interlinea.aeterna-institute.org/library/greek/theon-smyrnaeus/de-utilitate-mathematicae/79

ἔστι δὲ τῶν πολλαπλασίων λόγων πρῶτος καὶ ἐλάχιστος ὁ διπλάσιος, μετὰ δὲ τοῦτον ὁ τριπλάσιος, εἶτα ὁ τετραπλάσιος, καὶ οὕτως οἱ ἑξῆς ἐπʼ ἄπειρον αἰεὶ οἱ μείζονες. τῶν δʼ ἐπιμορίων λόγων πρῶτος καὶ μέ- γιστος ὁ ἡμιόλιος, ὅτι δὴ καὶ τὸ ἥμισυ μέρος πρῶτον καὶ μέγιστον καὶ ἐγγυτάτω τῷ ὅλῳ, μετὰ δὲ τοῦτον ὁ ἐπίτριτος, καὶ ὁ ἐπιτέταρτος, καὶ οὕτω πάλιν ἐπʼ ἄπει- ρον ἡ πρόοδος ἀεὶ ἐπʼ ἐλάττονος.

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Theon Smyrnaeus, De utilitate mathematicae, ed. Eduardus Hiller. 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/tlg1724.tlg001.local001/.