ăgēmă, ătis, n., = ἄγημα, in the Macedonian army,
a corps or division of soldiers : addita his ala mille ferme equitum: agema eam vocabant, Liv. 37, 40; 42, 51; so id. 42, 58; Curt. 4, 13, 26.
agēma atis, n , ἄγημα, the flower of the (Macedonian) cavalry, L., Cu. ...
An Elementary Latin Dictionary