# De utilitate mathematicae 109

Theon Smyrnaeus, De utilitate mathematicae, Paragraph 109. Ancient Greek.

Canonical: https://interlinea.aeterna-institute.org/library/greek/theon-smyrnaeus/de-utilitate-mathematicae/109

καὶ αὗται μὲν ὑλικαί τε καὶ αἰσθηταὶ τετρακτύες. ὀγδόη δὲ τετρακτὺς ἥδε, τούτων κριτικὴ καὶ νοητή τις οὖσα· νοῦς ἐπιστήμη δόξα αἴσθησις. νοῦς μὲν ὡς μονὰς ἐν οὐσίᾳ· ἐπιστήμη δὲ ὡς δυάς, ἐπειδή τινός ἐστιν ἐπιστήμη· 〈δόξα δὲ ὡς τριάς, ἐπειδὴ. . . . . . . . . . . . . . .〉 καὶ μεταξύ ἐστι δόξα ἐπιστήμης [ἐστὶ] καὶ ἀγνοίας· ἡ δὲ, αἴσθησις ὡς τετράς, ἐπειδὴ τετραπλῆ κοινῆς πασῶν οὔσης τῆς ἁφῆς κατʼ ἐπαφὴν πᾶσαι ἐνεργοῦσιν αἱ αἰσθήσεις.

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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/.