A.“τετριηράρχηκα” Isoc.15.145, Lycurg.139:—command a trireme, Hdt.8.46, Th.4.11: c. gen., “τ. νεός” Hdt.7.181; “τῆς Παράλου” Is.5.42; “τ. ἐς Κύπρον” Lys.19.25.
II. at Athens, and in the empires of the Diadochi, to be trierarch, i.e. fit out a trireme for the public service, Ar.Eq.912 (lyr.), Ra.1065 (anap.); “τ. πολλά” Antipho 2.2.12; “τριηραρχίας πολλὰς τ.” Lys.13.62; “Γνώμη, . . ἧς ἐτριηράρχει Ἀπολλόδωρος” IG22.1627.250; “εἰς τὴν ναῦν ἣν τριηραρχεῖ” PCair.Zen.36.5 (iii B. C.); οἶκος τριηραρχῶν a family wealthy enough for the trierarchy, Is.7.32; ὅσοι . . τετριηραρχήκασι (at Teos and Lebedos) SIG344.66 (iv B. C.):—Pass., “τριηραρχοῦσιν οἱ πλούσιοι, ὁ δὲ δῆμος τριηραρχεῖται” has trierarchs found it, X.Ath.1.13.
III. in the cult of Isis, equip the sacred ship, “τριηραρχήσαντα ἱεροπρεπῶς” LW1143 (Cius): cf. ναυβατέω, ναυαρχέω.