LSJ
fragment, Plu. Dio 46, Sch. Il. 2.755.
II
Subst., piece broken off, Κώκυτός θʼ ὃς δὴ Στυγὸς ὕδατός ἐστιν ἀ. branch of the Styx, Od. 10.514, cf. Il. 2.755; ἀλλὰ τόδʼ ἀμβροσίης καὶ νέκταρός ἐστιν ἀ. is an efflux, a distillation of nectar ( ἀπόσταγμα Hsch.), Od. 9.359; ἀ. Ἐρινύων limb of the Furies, Ar. Lys. 811 (lyr.); ἡ δὲ προφητείη δίης φρενός ἐστιν ἀ. Orac. ap. Luc. Alex. 40; μελέων ὀλίγη τις ἀ. some small portion of melody, AP 7.571 ( Leont.); ἀ. δραχμαίη portion of a drachmʼs weight, Nic. Th. 518; ἀπορρῶγες σπλάγχνου Aret. SD 1.10; ἀπορρὼξ τῆς πόλεως, of Samos, Demad. ap. Ath. 3.99d; μουνογενής τις ἀ. φύλου ἄνωθεν Χαλδαίων Orph. Fr. 247.23.
the object by which one swears, as the Styx among the gods, Στυγὸς ὕδωρ, ὅς τε μέγιστος ὅ. δεινότατός τε πέλει μακάρεσσι θεοῖσι Il. 15.38, cf. 2.755, Hes. Th. 400, 784, 805, h.Cer. 259, Arist. Metaph. 983b31 ; or as Zeus among mortals, Pi. P. 4.167 ; so of things, ὅρκον δʼ ἐνοσφίσθης μέγαν, ἅλας τε καὶ τράπεζαν Archil. 96 ; οἷς ἦν μέγιστος ὅ . .. κύων, ἔπειτα χήν Cratin. 231, cf. Placit. 1.3.8 : hence,
cunliffe_hompers
Στύξ (ἀάατον Στυγὸς ὕδωρ, κατειβόμενον Στυγὸς ὕδωρ, ὅρκος δεινός, Στυγὸς αἰπὰ ῥέεθρα). The terrestrial Styx was a river and cataract in Arcadia (but the Titaressus is called (Il. 2.755) a branch of the Styx). The name transferred to the chief river of the underworld Il. 8.369: Od. 10.514. The Styx invoked in oaths (with apparently confusion between the upper and under rivers) Il. 2.755, Il. 14.271, Il. 15.37: Od. 5.185.
Στύξ (ἀάατον Στυγὸς ὕδωρ, κατειβόμενον Στυγὸς ὕδωρ, ὅρκος δεινός, Στυγὸς αἰπὰ ῥέεθρα). The terrestrial Styx was a river and cataract in Arcadia (but the Titaressus is called (Il. 2.755) a branch of the Styx). The name transferred to the chief river of the underworld Il. 8.369: Od. 10.514. The Styx invoked in oaths (with apparently confusion between the upper and under rivers) Il. 2.755, Il. 14.271, Il. 15.37: Od. 5.185.
Τιταρησσός (in the MSS. Τιταρήσιος( ἱμερτός, καλλίρροον ὕδωῤ. Now the Europus, flowing into the Peneius (in Il. 2.755 called a tributary of the Styx). The waters of the two rivers do not mingle Il. 2.751.
cunliffe_lex
ἀπορρώξ -ῶγος [ἀπορρήγνυμι.] 1 Broken off, abrupt, sheer: ἀκταί Od. 13.98. 2 As subst., a piece broken off. Hence a A specimen, something as good as (another thing specified): ἀμβροσίης ἐστὶν ἀ. Od. 9.359. b A branch stream or tributary Il. 2.755: Od. 10.514.
δεινός -ή, -όν [δϝι-, δείδοικα.] 1 Causing, or such as to cause, fear, fearful, terrible, aweinspiring, dread, dire Il. 1.200, Il. 2.321, Il. 5.739, Il. 8.135, Il. 11.418, etc.: Od. 3.145, Od. 5.52, Od. 11.157, Od. 12.94, Od. 22.405, etc. With complementary infin.: δεινὸν γένος βασιλήϊόν ἐστι κτείνειν Od. 16.401. Of noises, troubling the hearers, terrible, dreadful: καναχήν Il. 16.104. Cf. Il. 1.49, Il. 23.688. Of something said, calculated to trouble the hearer, out of place, unseemly: ἔπος Od. 8.409, Od. 21.169. 2 In neut. δεινόν as adv., so as to cause fear, fearfully, terribly, dreadfully: δ. δερκόμενοι Il. 3.342. Cf. Il. 3.337, Il. 4.420, Il. 6.182, Il. 8.133, Il. 11.10, etc.: κῦμα δ. ἐπεσσύμενον Od. 5.314. Cf. Od. 5.403, Od. 11.608, Od. 12.85, 106, 236, Od. 22.124, etc. So in pl. δεινά Il. 5.439, Il. 15.13, Il. 16.706 = Il. 20.448. 3 Troubling with excessive wonder, marvellous, strange: θαῦμα Il. 13.100. Exciting wonder, wonderful: πελώρου Od. 10.168. 4 To be regarded or treated with awe, reverence or respect: ὅρκου Il. 2.755, θεός Il. 4.514. Cf. Il. 3.172, Il. 5.839, Il. 6.380 = 385, Il. 18.394, Il. 21.25: Od. 7.41, 246, 255, Od. 8.22, Od. 10.136 = Od. 11.8 = Od. 12.150, Od. 12.322, 449, Od. 14.234. In superl. δεινότατος Il. 15.38: = Od. 5.186. 5 Of armour, with notion of great power of resistance, proof against blows, stout: σάκος Il. 7.245, 266. Cf. Il. 10.254, 272, Il. 20.259. 6 Feeling fear: ἀγορὴ δεινὴ τετρηχυῖα (in fear and disorder) Il. 7.346.
ὅρκος -ου, ὁ. 1 Something invoked in sanction of an oath, something by which one swears : ὅ τοι μέγας ἔσσεται ὁ. Il. 1.239. Cf. Il. 2.755, Il. 15.38 := Od. 5.186. 2 An oath : μέγαν ὅρκον ὀμοῦμαι (ὀμεῖται) Il. 1.233, Il. 9.132, 274. Cf. Il. 14.280, Il. 19.108, 113, 127, 175, Il. 20.313 (oaths by many different objects), Il. 22.119, Il. 23.42, 441 : Od. 2.377, 378= Od. 10.346, Od. 4.253, 746, Od. 5.178= Od. 10.343, Od. 10.299, 381, Od. 12.298, 304= Od. 15.438= Od. 18.59, Od. 14.151, 171, Od. 15.436, Od. 18.55, Od. 20.229. 3 The taking of an oath, swearing : ἀνθρώπους ἐκέκαστο κλεπτοσύνῃ θʼ ὅρκῳ τε (i.e. false swearing) Od. 19.396.
ὕδωρ -ατος, τό [cf. L. unda, Eng. water.] (The υ freq. lengthened metrically.) 1 Water Il. 2.307, Il. 3.270, Il. 6.457, Il. 7.99, Il. 9.15, etc. : Od. 1.110, Od. 3.429, Od. 4.213, Od. 5.70, Od. 6.86, Od. 9.209, etc. Of a flood of water : ἀλὲν ὑ. ἐξέρρηξεν ὁδοῖο Il. 23.420. 2 In various specific applications. a A river : σχεδόν ὕδατος Od. 5.475. Cf. Il. 21.14. The waters of a river : τιταρησσόν, ὅς ῥʼ ἐς πηνειὸν προΐει ὑ. Il. 2.752. Cf. Il. 2.755, 850, Il. 8.369, Il. 21.21, etc. : Od. 4.478, Od. 5.185, Od. 10.514. Of the waters of two or more rivers : ὡς ὅτε ποταμοὶ συμβάλλετον ὑ. (their waters) Il. 4.453, ὥς τε πρὼν ἰσχάνει ὑ. Il. 17.747 (= ποταμῶν ῥέεθρα 749). Cf. Il. 12.33. b A spring of water : ὕδατʼ ἀενάοντα Od. 13.109. Cf. Od. 12.306. c A pond : χῆνες πυρὸν ἔδουσιν ἐξ ὕδατος (coming from their . . .) Od. 19.537. d Rain : ὅτε λαβρότατον χέει ὑ. Ζεύς Il. 16.385. e The sea, the wave of the sea : Αἰγύπτῳ ἐπέλασσεν ἄνεμός τε καὶ ὑ. Od. 3.300. Cf. Od. 7.277, Od. 15.482. The water of the sea : ἀλμυρὸν ὑ. Od. 4.511. Cf. Od. 12.104, 172, 236, etc.