antimetabole
From LSJ
δι' ἐρημίας πολεμίων πορευόμενος → he marched on without finding any enemy, his route lay through a country bare of enemies
Latin > English (Lewis & Short)
antĭmĕtăbŏlē: ēs, f., = ἀντιμεταβολή>, a rhet. fig.,
I a reciprocal interchange, in Auct. ad Her. 4, 28, 39, called commutatio, e. g.: non ut edam vivo, sed ut vivam edo, Isid. Orig. 2, 21, p. 81 Lind. (in Quint. 9, 3, 85, written as Greek, Halm).