Diotimos Library · Greek Antiquity Collection · Bilingual Edition
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Facing Pages · Branch 17 of 879
On arithmetic · Arith.10c
Ancient Greek
p. 3010 συνέχεια
Ἔτι δὲ τῇ μονάδι τῶν ἐφεξῆς περισσῶν γνωμόνων περιτιθεμένων ὁ γινόμενος ἀεὶ τετράγωνός ἐστι· τῶν δὲ ἀρτίων ὁμοίως περιτιθεμένων ἑτερομήκεις καὶ ἄνισοι πάντες ἀποβαίνουσιν, ἴσος δὲ ἰσάκις οὐδείς. Καὶ μὴν εἰς δύο διαιρουμένων ἴσα τοῦ μὲν περισσοῦ μονὰς ἐν μέσῳ περίεστι, τοῦ δὲ ἀρτίου κενὴ λείπεται χώρα καὶ ἀδέσποτος καὶ ἀνάριθμος, ὡς ἂν ἐνδεοῦς καὶ ἀτελοῦς ὄντος. Περὶ δὴ τοῦ κοινοῦ λόγου τῶν ἀριθμῶν τοῦτον διέξεισι τὸν τρόπον.
Stobaeus, Volume I: On arithmetic
p. 3110 continued
Moreover, when successive odd gnomons are placed around the monad, the number produced is always square. When even gnomons are placed around it in the same way, all the resulting figures are oblong and unequal-sided; none is an equal number taken an equal number of times. And when the numbers are divided into two equal groups, an odd number has a monad left over in the middle; in an even number the middle is left empty, unoccupied, and unnumbered, as though the number were deficient and incomplete. This is how he sets out the general account of numbers.27
Socrates
Reading Stobaeus, Volume I · On arithmetic · Arith.10c
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Socrates will begin with this book and its sources.About This Reading Edition
Stobaeus gathered Greek philosophy and poetry for his son Septimius. Volume I presents the dedication testimony, On Arithmetic, Book I through chapter 60, and the ancient contents of all four books. This complete bilingual edition includes an introduction and 2,117 explanatory notes.
Historical Text and Translation
The Greek follows Curt Wachsmuth’s 1884 Volume I, checked against the supplied scan. Gaps, lost-chapter headings, and uncertain attributions remain visible. Chapter 2 includes a labeled proposed reconstruction. The appendix outlines Books I–IV; the full texts of Books II–IV are outside this volume. Reader pages preserve the companion PDF’s numbering.
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