A.a turning about:
I. in choruses and dances, strophic correspondence, D.H.Comp.25; in later writers, = ἀντίστροφος, ἡ (q.v.), Sch.Ar.Nu.595,al.
II. Rhet., repetition of closing words in successive members, Phld.Rh.1.195 S., Hermog.Id.1.12, cf, 2.1, Eust.945.60; “ἀ. τὸ ἐναντίον τῆς ἐπαναφορᾶς” Alex.Fig.2.4.
III. inversion, κατὰ τὴν ἀ. τῆς ἀναλογίας in inverse ratio, Arist.Ph.266b18:—in Logic, conversion of terms of a proposition, Id.APr.25a40; ἀ. δέχεσθαι to be convertible, ib.50b32.
b. Math., “τῶν θεωρημάτων ἡ ἀ.” Procl.in Euc.p.251 F., cf. Apollon.Perg.Con.2.49; ἀ. προηγουμένη complete conversion, Procl.in Euc.p.253F.; “ἀ. ἀξιωμάτων” Stoic.2.64; generally, “κατ᾽ -φήν” conversely, Metrod.Herc. 831.14.
2. retortion of an argument, Arist.APr.61a22.
3. change of a proposition into its opposite, ib.38a3,39a28.