αἰειγενέτης -ου [αἰεί + γεν-, γίγνομαι.] Having being for ever, immortal. Epithet of the gods Il. 2.400, Il. 3.296, Il. 6.527, Il. 7.53, Il. 14.244, 333, Il. 16.93, Il. 20.104: Od. 2.432, Od. 14.446, Od. 23.81, Od. 24.373.
ἐκχέω [ἐκ- 1, ἐκ- 4.] 3 sing. aor. mid. ἐκχεύατο Od. 22.3, Od. 24.178. 3 sing. aor. pass. ἐξέχυτο Od. 19.470. ἔκχυτο Od. 19.504. Pple. ἐκχύμενος, -ου Il. 21.300: Od. 8.515. 3 pl. plupf. ἐξεκέχυντο Od. 8.279. 1 To pour out (liquid) Il. 3.296. Of solid objects. In mid.: ὀϊστούς Od. 22.3, Od. 24.178. 2 In pass., of a liquid, to pour out, be spread: ὕδατος ἐκχυμένοιο Il. 21.300. To be spilt: ἐξέχυθʼ ὕδωρ Od. 19.470. Cf. Od. 19.504. Fig., to hang suspended from. With ablative, [δέσματα] μελαθρόφιν ἐξεκέχυντο Od. 8.279. Of persons, to pour out, stream forth Il. 16.259: Od. 8.515.
εὔχομαι 3 sing. aor. εὔξατο Il. 8.254: Od. 5.444, Od. 17.239, Od. 20.97. 3 pl. εὔξαντο Il. 1.458, Il. 2.421: Od. 3.447, Od. 12.359. 2 sing. subj. εὔξεαι Od. 3.45. Opt. εὐξαίμην Od. 12.334. Pple. εὐξάμενος, -η Il. 1.381, 453, Il. 13.417, Il. 16.236, Il. 19.257, etc.: Od. 6.280, Od. 13.51, Od. 14.463, Od. 21.211, Od. 24.518, 521. (ἐπ-.) 1 With infin., to avouch or declare oneself, claim, to be, etc. (sometimes tending to pass into sense (2)): ἄριστος Ἀχαιῶν εἶναι Il. 1.91, Il. 2.82, ταύτης γενεῆς εἶναι Il. 6.211. Cf. Il. 4.264, Il. 5.173, 246, Il. 6.231, Il. 8.190, Il. 9.60, Il. 14.113, etc.: μέντης εἶναι Od. 1.180, ἱκέτης τοι εἶναι Od. 5.450. Cf. Od. 1.187, Od. 3.362, Od. 5.211, Od. 9.263, Od. 14.199, Od. 15.425, Od. 22.321, etc. To claim to do as a matter of right: πάντʼ ἀποδοῦναι Il. 18.499. 2 To boast, vaunt: εὐχόμενος μετέφη Il. 19.100. Cf. Il. 1.397, Il. 2.597, Il. 8.198, Il. 14.366, Il. 20.424: εὐξάμενός τι ἔπος ἐρέω (will show off a little) Od. 14.463. With complementary infin.: ἄντα Ποσειδάωνος πολεμίζειν Il. 21.476. Cf. Il. 3.430, Il. 8.254, 526, Il. 21.501. 3 To exult, triumph: μεγάλʼ εὔχεο Il. 16.844. Cf. Il. 5.106, Il. 11.379, 388, Il. 13.417 = Il. 14.458 = 486, Il. 13.447, 619 = Il. 17.537 = Il. 21.183, Il. 14.500, Il. 20.393. 4 To pray. With dat.: Ἀπόλλωνι Il. 1.87. Cf. Il. 3.296, Il. 6.312, Il. 7.194, Il. 23.547, Il. 24.290, etc.: Od. 2.261, Od. 3.43, Od. 12.334, Od. 13.51, 231, Od. 24.518, etc. With complementary infin.: θάνατον φυγεῖν Il. 2.401. Cf. Il. 14.484, Il. 15.374, Il. 18.75, Il. 24.287: Od. 21.211. With dat. and infin.: διὶ θυμὸν φθίσθαι Od. 15.353. Cf. Il. 9.183. Absol.: ὣς ἔφατʼ εὐχόμενος Il. 1.43, εὐξαμένου ἤκουσεν 381. Cf. Il. 1.458, Il. 6.304, Il. 9.509, Il. 15.371, etc.: Od. 2.267, Od. 3.45, Od. 5.444, Od. 6.280, Od. 15.222, Od. 17.239, etc. 5 To give glory, make thanks-giving: αἵ τέ μοι εὐχόμεναι θεῖον δύσονται ἀγῶνα Il. 7.298 (like εὐχετάομαι 5; or perh. μοι should be taken as ethic dat., on my account). 6 To vow. With complementary infin.: Ἀπόλλωνι ῥέξειν ἑκατόμβην Il. 4.101, 119. Cf. Od. 17.50, 59.