1. to begin with, make a beginning of , Lat. auctor esse, with genitive, ἐξῆρχε γόοιο (Iliad by Homer), etc.:—;so in Mid. ἐξήρχετο βουλῆς (Odyssey by Homer)

2. with accusative, βουλὰς ἐξάρχων (Iliad by Homer);—;also ἐξάρχειν or ἐξάρχεσθαι παιᾶνά τινι to begin a hymn to one, address it to him, (Xenophon Historicus) (ML)