Fragmentum [Sp.] (e cod. Paris. suppl. gr. 387, fol. 181r) Diophantus Alexandrinus Paul Tannery Harvard College Library Harvard Library Arcadia Fund Gregory Crane Digital Divide Data Corrected and encoded the text Gregory Crane Editor-in-Chief, Perseus Digital Library Matt Munson Project Manager (University of Leipzig) Annette Gessner Project Assistant (University of Leipzig) Thibault Clérice Lead Developer (University of Leipzig) Bruce Robertson Technical Advisor Harvard College Library tlg2039.tlg003.1st1K-grc1.xml Available under a Creative Commons Attribution-ShareAlike 4.0 International License 2017 Harvard College Library United States Diophanti Alexandrini opera omnia Paul Tannery Diophantus Alexandrinus Teubner Leipzig 1895 2 Hathi Trust

Text encoded in accordance with the latest EpiDoc standards (March 2017)

 Greek Latin
DIOPHANTUS PSEUDEPIGRAPHUS. I. Ex codice Parisino Suppl. gr. 387, fo. 181r.

Ἐκ τῆς ἀριθμητικῆς Διοφάντου.

Ἀπὸ δύο μεθόδων εὑρίσκεται παντὸς τετραγώνου ἀριθμοῦ πλευρὰ ἤτοι δυνάμεως. καὶ ἡ μὲν μία ἔχει οὕτως· ἀπόγραψαι τοιοῦτον ἀριθμὸν κατὰ τὴν τάξιν τῆς Ἰνδικῆς μεθόδου· εἶτα ἄρξαι ἀπὸ δεξιῶν ἐπὶ ἀριστερά, καθʼ ἕκαστον δὲ στοιχεῖον λέγε· γίνεται· οὐ γίνεται· γίνεται· οὐ γίνεται· ἕως ἂν τελειωθῶσι τὰ στοιχεῖα, καὶ εἰ μὲν τύχῃ τὸ τελευταῖον ὑπὸ τὸ γίνεται, ἄρξαι τοῦ μερισμοῦ ἐκεῖθεν· εἰ δὲ ὑπὸ τὸ οὐ γίνεται, καταλιπὼν τὸ τελευταῖον στοιχεῖον ἄρξαι τοῦ μερισμοῦ ἀπὸ τοῦ μετʼ αὐτὸ στοιχείου τοῦ πρὸς τὰ δεξιά, ἐν δηλονότι φθάνει τὸ γίνεται.