διαχειροτον-έω · diacheiroton-eō — LSJ
choose between two persons or proposals by show of hands, εἴτε . . ἤ, εἴτε . . εἴτε, IG 1(2).57,98, cf. D. 47.43, etc.:—Pass., X. HG 1.7.34; to be selected, Pl. Lg. 755d.
vote on a personʼs case, δ. τινὰ πότερον ἐπιτήδειός ἐστιν ἢ οὔ Arist. Ath. 49.2.