# De utilitate mathematicae 136

Theon Smyrnaeus, De utilitate mathematicae, Paragraph 136. Ancient Greek.

Canonical: https://interlinea.aeterna-institute.org/library/greek/theon-smyrnaeus/de-utilitate-mathematicae/136

ἀκριβέστερον δὲ περὶ τῶν μεσοτήτων λεκτέον, ἐπειδὴ καὶ ἀναγκαιοτάτη εἰς τὰ Πλατωνικὰ ἡ τούτων θεωρία. ἀπλῶς μὲν οὖν μεσότης ἐστίν, ἐπειδὰν δύο ὅρων ὁμογενῶν ἀνίσων μεταξύ τις ὁμογενὴς ἕτερος ὅρος ληφθῇ, ὥστε εἶναι ὡς τὴν ὑπεροχὴν τοῦ πρώτου καὶ μείζονος ὅρου παρὰ τὸν ληφθέντα πρὸς τὴν ὑπερ- οχὴν το μέσου παρὰ τὸν ἐλάττονα, οὕτως τὸν πρῶτον ὅρον ἤτοι πρὸς ἑαυτὸν ἢ πρός τινα τῶν ἄλλων ἢ ἀνά- παλιν τὸν ἐλάττονα πρός τινα τῶν ἄλλων.

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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/.