LSJ
II
over against, Ἤλιδος ἄ. Il. 2.626; ἄ. παρειάων σχομένη κρήδεμνα . . before her cheeks, Od. 1.334; ἄντʼ ὀφθαλμοῖϊν 4.115; also of persons, ἄ. σέθεν before thee, to thy face, ib. 160, cf. 22.232; so in Il. 21.331, with a notion of comparison, confronted with thee; ἕρπει ἄ. τῶ σιδάρω τὸ καλῶς κιθαρίσδεν rivals it, Alcm. 35.
2
lie, be situated, once in Hom., νήσων αἳ ναίουσι πέρην ἁλός Il. 2.626; ὦ κλεινὰ Σαλαμίς, σὺ μέν που ναίεις ἁλίπλακτος S. Aj. 598 (lyr.).
on the other side, across, in early Poets always c. gen., esp. of water, νήσων αἳ ναίουσι π. ἁλός Il. 2.626; πέρνασχʼ ὅν τινʼ ἕλεσκε π. ἁλός 24.752 (never in Od.); π. κλυτοῦ Ὠκεανοῖο Hes. Th. 215; π. Χάεος ζοφεροῖο ib. 814; π. πόντοιο Pi. N. 5.21; τὰ π. τοῦ Ἴστρου Hdt. 5.9; πόντου π. τραφεῖσαν A. Ag. 1200; πολιοῦ π. πόντου S. Ant. 334 (lyr.); π. τοῦ Ἑλλησπόντου, τοῦ ποταμοῦ, Th. 2.67, X. An. 4.3.3; π. Ἕβρον is corrupt in E. HF 386 (leg. Ἕβρου).
cunliffe_lex
ἅλς1 ἁλός, ἡ [σαλ-. Cf. L. sal.] As genit. ἁλόσεν Il. 21.335. The sea Il. 1.141, 316, 350, 358, Il. 2.626, etc.: Od. 1.162, Od. 3.73, Od. 4.580, 844, Od. 13.235, etc.
ἄντα [ἀντί.] I Adv. 1 Face to face: μάχεσθαι Il. 19.163, ἀνασχομένω Il. 23.686, θεοῖσιν ἀ. ἐῴκει (when set face to face, when brought into comparison) Il. 24.630. –Facing a person: στῆ Od. 6.141. 2 Straight in front of one: ἰδών Il. 13.184 = 404 = 503 = Il. 16.610 = Il. 17.305 = 526, Il. 22.274. Cf. Od. 21.48, 421, Od. 22.266, Od. 24.181. II Prep. with genit. (freq. following the case). 1 Over against, opposite: Ἥλιδος ἀ. Il. 2.626. In the presence of: ἀ. σέθεν Od. 4.160. 2 In hostile sense, against: Διὸς ἀ. Il. 8.424, 428. Cf. Il. 8.233, Il. 15.415, Il. 16.621, Il. 20.75, 76, 355, 365, Il. 21.477: Od. 22.232. Facing: μευ Il. 16.29. Cf. Il. 17.167, Il. 20.69, 73, 89. 3 A (fitting) match for Il. 21.331. 4 In front of, before: ἀ. παρειάων Od. 1.334 = Od. 16.416 = Od. 18.210 = Od. 21.65. Cf. Od. 4.115 = 154.
ναίω1 [νασ-.] 3 sing. pa. iterative nai/eske Il. 5.708, Il. 16.719. 3 pl. -ον Il. 2.758. Aor. νάσσα Od. 4.174. 3 sing. aor. pass. νάσθη Il. 14.119. (ἀπο-) 1 To live, dwell, abide, have one's home : ἔναιεν ἐνὶ φηρῇ Il. 5.543. Cf. Il. 2.130, Il. 6.13, Il. 9.154, Il. 13.176, Il. 16.233, etc. : Od. 3.292, Od. 4.98, Od. 5.58, Od. 13.240, Od. 15.96, etc. 2 Of a house, by a sort of personification, to stand, be situated : δόμον δείξω, ἐπεί μοι πατρὸς ἐγγύθι ναίει Od. 7.29. So of islands, to lie : νήσων, αἳ ναίουσι πέρην ἁλός Il. 2.626. 3 To live in, dwell in, have one's home in, inhabit, hold, have : Ἀσπληδόνα Il. 2.511. Cf. Il. 2.593, Il. 3.74, Il. 6.15, Il. 9.484, Il. 15.190, etc. : Od. 1.51, Od. 4.555, Od. 9.36, 49, 113, etc. 4 In pres. pple. pass. with εὖ, of places, well inhabited, holding a goodly people : εὖ ναιόμενον πτολίεθρον Il. 1.164, Il. 2.133, Il. 9.402, Il. 13.380. Cf. Il. 3.400, Il. 5.489, Il. 9.149, 291, Il. 13.815, Il. 14.255 = Il. 15.28, Il. 16.572: Od. 13.285. 5 In aor., to establish or settle (a city) : Ἄργεΐ κέ οἱ νάσσα πόλιν Od. 4.174. 6 In aor. pass. in mid. sense, to establish oneself, settle, take up one's abode : Ἄργεϊ νάσθη Il. 14.119.
νῆσος -ου, ἡ. An island : Ἐχινάων ἱεράων νήσων Il. 2.626. Cf. Il. 2.108, 677, 721, Il. 3.445, Il. 18.208, Il. 21.454, Il. 22.45 : εἶδον νῆσον (that it was an island on which I was) Od. 10.195. Cf. Od. 1.50, Od. 3.171, Od. 4.368, Od. 5.13, Od. 9.130, Od. 10.3, Od. 12.143, Od. 13.95, etc.
πέρην [cf. περάω1.] Beyond, on or to the other side of. With genit. : οἳ ναίουσι πέρην εὐβοίης Il. 2.535 (i.e. to one looking from Asia; by others taken as over against). Cf. Il. 2.626, Il. 24.752.