{"schemaVersion":2,"id":"tlg1724.tlg001.local001","url":"https://thegreeklibrary.org/works/tlg1724.tlg001.local001/","urn":"urn:cts:greekLit:tlg1724.tlg001.local001","title":"De utilitate mathematicae","titleGreek":null,"alternateTitles":[],"author":"Theon Smyrnaeus","authorityName":"THEON Phil.","authorUrl":"https://thegreeklibrary.org/authors/tlg1724-theon/","authorityUrl":"https://thegreeklibrary.org/authors/tlg1724-theon/","editors":["Eduardus Hiller"],"publication":{"digitalPublisher":"Harvard College Library","sourceTitle":"Theonis Smyrnaei philosophi platonici Expositio rerum mathematicarum ad legendum Platonem utilium","edition":null,"publisher":"Teubner","place":"Leipzig","date":"1878","volume":null,"series":null,"citation":null,"citationShort":null},"rights":{"text":"Available under a Creative Commons Attribution-ShareAlike 4.0 International License","url":"https://creativecommons.org/licenses/by-sa/4.0/"},"provenance":{"authority":"Harvard College Library","sponsors":[],"funders":["Harvard Library Arcadia Fund"],"principal":"Gregory Crane","responsibilities":[{"role":"Corrected and encoded the text","names":[]},{"role":"Editor-in-Chief, Perseus Digital Library","names":[]},{"role":"Project Manager (University of Leipzig)","names":[]},{"role":"Project Assistant (University of Leipzig)","names":[]},{"role":"Lead Developer (University of Leipzig)","names":[]},{"role":"Technical Advisor","names":[]}]},"corpus":{"version":"2.2.0","date":"2026-08-29"},"revisionDate":"2026-08-15","sourceUrl":"http://www.archive.org/stream/autolycidesphaer00autouoft#page/n661/mode/2up","sourceLinkType":null,"sourceRights":null,"citation":"Theon Smyrnaeus. De utilitate mathematicae. ed. Eduardus Hiller. Theonis Smyrnaei philosophi platonici Expositio rerum mathematicarum ad legendum Platonem utilium, Leipzig, Teubner, 1878. urn:cts:greekLit:tlg1724.tlg001.local001","excerpt":"Ὅτι μὲν οὐχ οἷόν τε συνεῖναι τῶν μαθηματικῶς λεγομένων παρὰ Πλάτωνι μὴ καὶ αὐτὸν ἠσκημένον ἐν τῇ θεωρίᾳ ταύτῃ, πᾶς ἄν που ὁμολογήσειεν· ὡς δὲ οὐδὲ τὰ ἄλλα ἀνωφελὴς οὐδὲ ἀνόνητος ἡ περὶ ταῦτα ἐμπειρία, διὰ πολλῶν αὐτὸς ἐμφανίζειν ἔοικε. τὸ μὲν οὖν συμπάσης γεωμετρίας καὶ συμπάσης μουσικῆς καὶ ἀστρονομίας ἔμπειρον γενόμενον τοῖς Πλάτωνος συγ- γράμμασιν ἐντυγχάνειν μακαριστὸν μὲν εἴ τῳ γένοιτο, οὐ μὴν εὔπορον οὐδὲ ῥᾴδιον ἀλλὰ πάνυ πολλοῦ τοῦ ἐκ παίδων πόνου δεόμενον. ὥστε δὲ τοὺς διημαρτηκό- τας τοῦ ἐν τοῖς μαθήμασιν ἀσκηθῆναι, ὀρεγομένους δὲ τῆς γνώσεως τῶν συγγραμμάτων αὐτοῦ μὴ παντάπασιν ὧν ποθοῦσι διαμαρτεῖν, κεφαλαιώδη καὶ σύντομον ποιησόμεθα τῶν ἀναγκαίων καὶ ὧν δεῖ μάλιστα τοῖς ἐντευξομένοις Πλάτωνι μαθηματικῶν θεωρημάτων παρά- δοσιν, ἀριθμητικῶν τε καὶ μουσικῶν καὶ γεωμετρικῶν τῶν τε κατὰ στερεομετρίαν καὶ ἀστρονομίαν, ὧν χωρὶς Inscr. Θέωνος Σμυρναίου Πλατωνικοῦ τῶν κατὰ τὸ (τὸ…","divisions":[{"label":"Paragraph 1","url":"https://thegreeklibrary.org/works/tlg1724.tlg001.local001/#tlg1724-tlg001-local001-1"},{"label":"Paragraph 2","url":"https://thegreeklibrary.org/works/tlg1724.tlg001.local001/#tlg1724-tlg001-local001-2"},{"label":"Paragraph 3","url":"https://thegreeklibrary.org/works/tlg1724.tlg001.local001/#tlg1724-tlg001-local001-3"},{"label":"Paragraph 4","url":"https://thegreeklibrary.org/works/tlg1724.tlg001.local001/#tlg1724-tlg001-local001-4"},{"label":"Paragraph 5","url":"https://thegreeklibrary.org/works/tlg1724.tlg001.local001/#tlg1724-tlg001-local001-5"},{"label":"Paragraph 6","url":"https://thegreeklibrary.org/works/tlg1724.tlg001.local001/#tlg1724-tlg001-local001-6"},{"label":"Paragraph 7","url":"https://thegreeklibrary.org/works/tlg1724.tlg001.local001/#tlg1724-tlg001-local001-7"},{"label":"Paragraph 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