προθέω

A. run before, Il. 10.362; πολὺ προθέεσκε he was far ahead, 22.459, Od. 11.515; opp. ἀπολείπομαι, Pl. Cra. 412a: c. gen., outrun, Ael. NA 7.26, Jul. Caes. 315b; βέλη π. τῆς ὄψεως Plu. Crass. 18.

2. run forward or forth, X. An. 5.8.13, A.R. 1.314, J. BJ 3.10.1.

II. c. acc., outrun, outstrip, X. Cyn. 3.7.