# De utilitate mathematicae 73

Theon Smyrnaeus, De utilitate mathematicae, Paragraph 73. Ancient Greek.

Canonical: https://interlinea.aeterna-institute.org/library/greek/theon-smyrnaeus/de-utilitate-mathematicae/73

περὶ δὲ τῆς ἐν ἀριθμοῖς ἁρμονίας λεκτέον ἑξῆς, ὅτι [ὁ] ὅρος ἐστὶν ὁ τὸ καθʼ ἕκιαστον ἀποφαίνων ἰδίωμα τῶν λεγομένων, οἷον ἀριθμός, μέγεθος, δύναμις, ὄγκος, βάρος. λόγος δὲ κατὰ μὲν τοὺς περιπατητικοὺς λέγεται πολλαχῶς, ὅ τε μετὰ φωνῆς προφορικὸς ὑπὸ τῶν νεω- τερῶν λεγόμενος καὶ ὁ ἐνδιάθετος καὶ ὁ ἐν διανοίᾳ κείμιενος ἄνευ φθόγγου καὶ φωνῆς καὶ ὁ τῆς ἀναλογίας, καθʼ ὅν λέγεται ἔχειν λόγον τόδε πρὸς τόδε, καὶ ἡ τῶν τοῦ λόγου στοιχείων ἀπόδοσις καὶ ὁ τῶν τιμώντων καὶ τιμωμένων, καθʼ ὅν φαμεν λόγον τινὸς ἔχειν ἢ μὴ ἔχειν, καὶ ὁ τραπεζιτικὸς λόγος καὶ ὁ ἐν τῷ βιβλίῳ Δημοσθενι- κὸς ἢ Αυσιακὸς καὶ ὁ ὅρος ὁ τὸ τί ἦν εἶναι καὶ τὴν οὐσίαν σημαίνων, ὁριστικὸς ὤν, καὶ ὁ συλλογισμὸς δὲ καὶ ἡ ἐπαγωγὴ καὶ ὁ Αιβυκὸς καὶ ὁ μῦθος καὶ ὁ αἶνος λόγος λέγεται καὶ ἡ παροιμία, ἔτι δὲ καὶ ὁ τοῦ εἴδους καὶ ὁ σπερματικὸς καὶ ἄλλοι πλείονες. κατὰ δὲ Πλά- τωνα τετραχῶς λέγεται λόγος, ἥ τε διάνοια ἄνευ φθόγ- γου καὶ τὸ μετὰ φωνῆς ῥεῦμα ἀπὸ διανοίας καὶ ἡ τῶν τοῦ ὅλου στοιχείων ἀπόδοσις καὶ ὁ τῆς ἀναλογίας. νῦν δὲ πρόκειται περὶ τοῦ τῆς ἀναλογίας λόγου ζητεῖν.

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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/.