Euclid Sectio canonis [Sp.] 3

ed. Karl von Jan

Table of Contents

Search the Perseus Catalog for:

← Previous Next →

Sectio canonis [Sp.]. Euclid. ed. Karl von Jan. United States. 2017.

Funding provided by Harvard Library Arcadia Fund.

Current edition First1KGreek

Sectio canonis [Sp.] (Greek) (Euclid. Musici scriptores Graeci. Jan, Karl von, editor. Leipzig: Teubner, 1895.)

Notes on the current edition

Sectio canonis [Sp.]

1. 1 de diagrammatis 2. partibus huc insertis v. supa. οὐδεὶς μέσος W, μέσος οὐδείς V, post μέσοι add. supra lin. οὐδείς N, sed delet, om. οὐδείς, sed hebet μέσοι οὔτε im ras. M. μέσοι U. (μέσος Wallis, μέσοι codd.) 3 ἐμπεσεῖται W et Porph. ἐμπεσοῦνται rel. ἀριθμοί Porph., ἀριθμός libri Eucl. Appicta est haec figura ad protasin 2 in N. similis (sed in duas partes discerpta) ad prot. 3 in M2, exigua exstant figurae vestigia in M1 W (vide ad lin. 7 et 11). addit autem N lineis δζ θ rationes δ γ et parti δ numerum α, lineas β γ idem signat numeris η Ϛ etiam M habet illas numerorum rationes, nisi quod ponit lin. β : = ιβ : θ, et lineae η dat numerum γ. hi tamen omnes numeri cum prohibeant quominus linearum rationes celeriter perspiciantur, noli litteris Graecis eos signare. 5 β Porph, β τοῦ γ libb. Eucl. ἐν VN Porph.
2. 1 cf. Elem. 8, 8: ἐὰν δύο ἀριθμῶν μεταξὺ κατὰ τὸ συνεχὲς ἀνάλογον ἐμπίπτωσιν ἀριθμοί, ὅσοι εἰς αὐτοὺς μεταξὺ κατὰ τὸ συνεχὲς ἀνάλογον ἐμπίπτουσιν ἀριθμοί, τοσοῦτοι καὶ εἰς τοὺς τὸν αὐτὸν λόγον ἔχοντας αὐτοῖς] μεταξὺ κατὰ τὸ συνεχὲς ἀνά- λογον ἐμπεσοῦνται.