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... legionibus paucos, qui proelia profligarent; gloriaque eorum accessurum, quod...

"determine the outcome of," cf. Lewis & Short s.v. "profligo," w. reference to this passage: strike or dash to the ground, to cast down utterly, overthrow, overcome, conquer (class.; syn.: sterno, prosterno). I. Lit.: “inimicos profligare,” Plaut. Mil. 2, 2, 75: “copias hostium,” Cic. Phil. 14, 14, 37: “classem hostium,” Caes. B. C. 2, 32: “hostes,” Nep. Dat. 6, 8: “proelia,” i. e. the warriors, Tac. A. 14, 36