{"schemaVersion":2,"id":"tlg2039.tlg001.local001","url":"https://thegreeklibrary.org/works/tlg2039.tlg001.local001/","urn":"urn:cts:greekLit:tlg2039.tlg001.local001","title":"Arithmeticorum libri sex","titleGreek":null,"alternateTitles":[],"author":"Anonymous","authorityName":"DIOPHANTUS Math.","authorUrl":null,"authorityUrl":"https://thegreeklibrary.org/authors/tlg2039-diophantus-math/","editors":[],"publication":{"digitalPublisher":"Corpus local","sourceTitle":null,"edition":null,"publisher":null,"place":null,"date":null,"volume":null,"series":null,"citation":"Arithmeticorum libri sex, ed. P. Tannery, Diophanti Alexandrini opera omnia, vol. 1, Leipzig: Teubner, 1893: 2–448. Cod: 43,764: Math. Cf. et Maximus PLANUDES Polyhist. et Phil. (4146 001).","citationShort":"Arithmeticorum libri sex, ed. P. Tannery, Diophanti Alexandrini opera omnia, vol. 1, Leipzig: Teubner, 1893: 2–448."},"rights":{"text":"Document TEI P5 local en UTF-8.","url":null},"provenance":{"authority":null,"sponsors":[],"funders":[],"principal":null,"responsibilities":[]},"corpus":{"version":"2.2.0","date":"2026-08-29"},"revisionDate":"2026-08-29","sourceUrl":"https://maximus.tlg.uci.edu/canon.php","sourceLinkType":"catalogue","sourceRights":null,"citation":"Arithmeticorum libri sex. Arithmeticorum libri sex, ed. P. Tannery, Diophanti Alexandrini opera omnia, vol. 1, Leipzig: Teubner, 1893: 2–448.. urn:cts:greekLit:tlg2039.tlg001.local001","excerpt":"{ΔΙΟΦΑΝΤΟΥ ΑΛΕΞΑΝΔΡΕΩΣ ΑΡΙΘΜΗΤΙΚΩΝ Α.} Τὴν εὕρεσιν τῶν ἐν τοῖς ἀριθμοῖς προβλημάτων, τιμιώτατέ μοι Διονύσιε, γινώσκων σε σπουδαίως ἔχοντα μαθεῖν, [ὀργανῶσαι τὴν μέθοδον] ἐπειράθην, ἀρξά- μενος ἀφ' ὧν συνέστηκε τὰ πράγματα θεμελίων, ὑπο- στῆσαι τὴν ἐν τοῖς ἀριθμοῖς φύσιν τε καὶ δύναμιν. Ἴσως μὲν οὖν δοκεῖ τὸ πρᾶγμα δυσχερέστερον, ἐπειδὴ μήπω γνώριμόν ἐστιν, δυσέλπιστοι γὰρ εἰς κατόρθωσίν εἰσιν αἱ τῶν ἀρχομένων ψυχαί, ὅμως δ' εὐκατάληπτόν σοι γενήσεται, διά τε τὴν σὴν προθυ- μίαν καὶ τὴν ἐμὴν ἀπόδειξιν· ταχεῖα γὰρ εἰς μάθησιν ἐπιθυμία προσλαβοῦσα διδαχήν. Ἀλλὰ καὶ πρὸς τοῖσδε γινώσκοντί σοι πάντας τοὺς ἀριθμοὺς συγκειμένους ἐκ μονάδων πλήθους τινός, φανερὸν καθέστηκεν εἰς ἄπειρον ἔχειν τὴν ὕπαρξιν τυγχανόντων δὴ οὖν ἐν τούτοις ὧν μὲν τετραγώνων, οἵ εἰσιν ἐξ ἀριθμοῦ τινος ἐφ' ἑαυτὸν πολυπλασιασθέντος· οὗτος δὲ ὁ ἀριθμὸς καλεῖ- ται <πλευρὰ τοῦ τετραγώνου·> ὧν δὲ κύβων, οἵ εἰσιν 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