δημᾰγωγ-έω · dēmagōg-eō — LSJ
to be a leader of the people
to be a leader of the people, καλῶς δ. Isoc. 2.16; τῇ μὲν ἐξουσίᾳ τυραννῶν, ταῖς δʼ εὐεργεσίαις δημαγωγῶν Id. 10.37; cf. δημαγωγεῖ· στρατηγεῖ, Hsch.: usu. in bad sense, Ar. Ra. 423, etc.
2 curry favour with, to be won over, conciliated by popular arts
c. acc. pers., δ. ἄνδρας curry favour with, X. An. 7.6.4, cf. Arist. Pol. 1305b26, al.:—Pass., to be won over, conciliated by popular arts, J. AJ 16.2.5.
b
= ψυχαγωγέω, τὸν πόθον, of a work of art, Him. Ecl. 31.6; τὸ θέατρον, of Homer, Id. Or. 20.3.
3 introduce, so as to win popularity
c. acc. rei, introduce measures so as to win popularity, τὰ πρὸς ἡδονὴν τῷ πλήθει D.H. Dem. 17; βουλὰς δ. LXX 1 Es. 5.70(73).
II make, popular
in causal sense, δ. τινά make him popular, App. BC 5.53, Pun. 133.