διαναυμαχεῖν
From LSJ
πρῶτον μὲν οὖν ὄστρεια παρὰ Νηρεῖ τινι ἰδὼν γέροντι φυκί ἠμφιεσμένα ἔλαβον ἐχίνους τ' ἐστὶ γὰρ προοίμιον δείπνου χαριέντως ταῦτα πεπρυτανευμένου → So first I spotted oysters wrapped in seaweed at the shop of some old Nereus, and sea urchins, which I bought; these were the appetizers for a delightfully managed dinner
Greek > English (Woodhouse Verbs Reversed)
(see also διαναυμαχέω): engage in a sea fight, fight a sea battle
Lexicon Thucydideum
navali proelio decertare, to fight a naval battle, 7.60.2. 8.27.1. 8.78.1 [ubi Vat. where Vatican manuscript ναυμ.]. 8.79.1. Ib. there. 6 [Vat. iterum Vatican again ναυμ.]. 8.83.3.