# De utilitate mathematicae 101

Theon Smyrnaeus, De utilitate mathematicae, Paragraph 101. Ancient Greek.

Canonical: https://interlinea.aeterna-institute.org/library/greek/theon-smyrnaeus/de-utilitate-mathematicae/101

καὶ ἡ μὲν ὑπὸ Θρασύλλου παραδεδομένη κατατομὴ τοῦ κανόνος ὧδε ἔχει. ὃν δὲ τρόπον καὶ ἐπὶ τῆς τῶν ὅλων ἐφαρμόζεται σφαίρας, ἐπτειδὰν καὶ τοὺς ἀστρονο- μίας ἐκθώμεθα λόγους, παραδείξομεν. νυνὶ δʼ ἐπανέλ- θωμεν ἐπεὶ τὸν τῶν λοιπῶν ἀναλογιῶν καὶ μεσοτήτων λόγον, ἐπειδὴ ὡς ἔφαμεν ἡ ἀναλογία καὶ μεσότης, οὐ μέντοι ἡ μεσότης καὶ ἀναλογία. καθὸ δὴ 〈ἡ〉 ἀναλο- γία καὶ μεσότης ἐστίν, ἀκόλουθος ἄν εἴη ὁ περὶ τῶν ἀναλογιῶν καὶ περὶ τῶν μεσοτήτων λόγος.

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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/.