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Ancient Greek Page · Branch 11 of 879
On arithmetic · Arith.3d–Arith.5a
Ancient Greek
p. 183 συνέχεια
Καὶ τὰ ἐν τᾷ σφαίρᾳ σώματα πέντε ἐντί· τὰ ἐν τᾷ σφαίρᾳ, πῦρ, ὕδωρ καὶ γᾶ καὶ ἀήρ, καὶ ὁ τᾶς σφαίρας ὁλκὰς πέμπτον.
4 Ἐκ τῶν Ἀρχύτου διατριβῶν
Καὶ δοκεῖ ἁ λογιστικὰ ποτὶ τὰν ἄλλαν σοφίαν τῶν μὲν ἄλλων τεχνῶν κατὰ πολὺ διαφέρειν, ἀτὰρ καὶ τᾶς γαμετρικᾶς ἐναργεστέρως πραγματεύεσθαι ἃ θέλει. καὶ ἇς ἐκλείπει αὖ ἁ γαμετρικὰ ἀποδείξιας, ἁ λογιστικὰ ἐπιτελεῖ· καὶ ὁμῶς, αἰ μὴν εἰδέων ἐντὶ ἁ πραγματεία, καὶ τὰ ἐπὶ τοῖς εἴδεσιν.
5 Βουθήρου περὶ ἀριθμῶν
Ἀριθμὸς ἐκ μονάδων σύγκειται … ὅπερ ἐστὶν ἀρχὴ τῶν ὄντων καὶ ⟨νοητῶν⟩ μέτρον καὶ ἀσύνθετον καὶ ἀγένητον καὶ ἀίδιον καὶ μόνον καὶ εἰλικρινές.
Τὸ ⟨ἓν⟩ χωρὶς τῶν ἄλλων ἐστὶ καὶ αὐτὸ καθ’ ἑαυτὸ καὶ ἀρχὴ καὶ πρώτη φύσις καὶ μαθεῖν ⟨ἔστιν⟩ αὐτὸ μηδ’ ἄλλο ⟨τι⟩ διορισαμένους.
… μόνον ἐστὶν εἰλικρινὲς αὐτὸ ⟨τε ἑαυτὸ⟩ δηλοῦν.
Stobaeus, Volume I: On arithmetic
p. 193 continued
And the bodies within the sphere are five: those within the sphere, fire, water, earth, and air; and fifth, the vessel of the sphere.15
4 From the discourses of Archytas
In relation to the other branches of knowledge, the art of calculation seems greatly to surpass the other arts, and to handle its chosen subjects more clearly even than geometry. The proofs that geometry in turn leaves incomplete, calculation completes. And likewise, if indeed the inquiry concerns forms, it also concerns the things that fall under those forms.16
5 Boutheros, On Numbers
Number is composed of monads … which is the beginning of existing things and the measure of ⟨intelligible things⟩, uncompounded, ungenerated, eternal, alone, and unmixed.
The ⟨One⟩ is apart from the other things, itself by itself, a beginning and primary nature; and ⟨it is possible⟩ to know it without defining ⟨anything⟩ else.
… it alone is unmixed, itself disclosing ⟨itself too⟩.17
Socrates
Reading Stobaeus, Volume I · On arithmetic · Arith.3d–Arith.5a
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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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Diotimos Editions prepared this independent English translation directly from the Greek. Prose and verse retain their distinct forms, with mixed passages preserving their quoted verse. Every passage is paired with its Greek and identified by the edition’s reference number. All 2,117 notes remain linked to their passages, with continuous numbering across the introduction and text.
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