μετά-βᾰσις · meta-basis — LSJ
moving over, shifting, e.g. of the body in walking, from one leg to the other, Hp. Mochl. 20; change of position, Epicur. Ep. 1p.16U.: pl., ib. p.17 U.
passing over, ἐς τὸ ἕτερον πλοῖον v.l. in Antipho 5.22; migration, change of residence, εἰς Κόρινθον ἐξ Ἀθηνῶν Plu. Profect. 2.78d; μ. ποιεῖσθαι ἐπί . . BGU 137.6 (ii A. D.).
change, τῶν πολιτειῶν γένεσις καὶ μ. Pl. Lg. 676c; δοκεῖ ἡ μ. ἐντεῦθεν γίγνεσθαι Id. R. 547c; τῶν νομίμων Arist. Pol. 1303a22 (pl.); ἡ μ. ἐκ [τῶν φυτῶν] εἰς τὰ ζῷα συνεχής ἐστιν Id. HA 588b11; μ. ἀπὸ ποιότητος εἰς ποιότητα Sor. 2.15; αἱ τῆς τραγῳδίας μ. Arist. Po. 1449a37; but ἡ μ. the reversal of fortune in a drama, ib. 1455b28.
transition from one subject to another, Luc. Hist.Conscr. 55; as a figure in Rhet., Quint. 9.3.25.
inference or procedure by analogy, Phld. Rh. 1.105 S., Sign. 19, S.E. M. 8.194; ἡ κατὰ τὸ ὅμοιον μ. Phld. Sign. 38, al.; also in Medicine, ἡ τοῦ ὁμοίου μ. Gal. 1.118.