Georg Autenrieth, A Homeric Dictionary

εὖτε : (1) when, at the time when, foll by the same constructions as other relative words (see ἄν, κέν). εὖτε is always employed ‘asyndetically,’ i. e. without a connecting particle, and is freq. followed by a demonstrative temporal word in the apodosis, ἔνθα, τῆμος δή, καὶ τότε δή, ἔπειτα, etc.; εὖτ᾽ ἀστὴρ ὑπερέσχε φαάντατος.. τῆμος δὴ νήσῳ προσεπίλνατο ποντοπόρος νηῦς, Od. 13.93; the clause introduced by εὖτε may, however, follow its apodosis, τλῆ δ᾽ Ἀίδης.. ὠκὺν ὀιστόν.. εὖτέ μιν ωὑτὸς ἀνὴρ.. ὀδύνῃσιν ἔδωκεν, Il. 5.396.—(2) as, even as, introducing a simile, Il. 3.10, Il. 19.386 (where some write ηὖτε, for ἠύτε).