LSJ
spear, lance, Hom., esp. in Il.: gen. pl., ἐγχειάων 5.167; ἐγχείῃ ἐκέκαστο he excelled all in the spear, 2.530.
overcome, Act. only in imper. καινύτω, μή σʼ ἀπάτη φρένα κ. Emp. 23.9:—elsewh. καίνυμαι, surpass, excel, in impf., c. acc. pers. et inf. modi, ἐκαίνυτο φῦλʼ ἀνθρώπων νῆα κυβερνῆσαι he surpassed mankind in steering, Od. 3.282: c. dat. rei, ἥ ῥα γυναικῶν φῦλον ἐκαίνυτο . . εἰδεΐ τε μεγέθει τε Hes. Sc. 4: more freq. in pf. and plpf. κέκασμαι, ἐκεκάσμην, Dor. κέκαδμαι, excel one in a thing, c. acc. pers. et dat. rei, ἐγχείῃ δʼ ἐκέκαστο Πανέλληνας Il. 2.530; ὃς ἡλικίην ἐκέκαστο ἔγχεΐ θʼ ἱπποσύνῃ τε 16.808; ὃς ἀνθρώπους ἐκέκαστο κλεπτοσύνῃ θʼ ὅρκῳ τε Od. 19.395: c. inf. pro dat. rei, ὁμηλικίην ἐκέκαστο γνῶναι surpassed them all in knowledge, 2.158; ἐκέκαστο ἰθύνειν A.R. 2.867: c. dat. rei only, δόλοισι κεκασμένε excellent in wiles, Il. 4.339; παντοίῃς ἀρετῇσι κεκασμένον ἐν Δαναοῖσιν Od. 4.725; μαντοσύνῃ 9.509, cf. Il. 5.54; [ ἀγλαΐῃ] μετὰ δμῳῇσι κέκασσαι Od. 19.82; ἐκ πάντων τέχνῃσι κεκασμένος Οὐρανιώνων Hes. Th. 929: c. gen., τῶν σε . . πλούτῳ τε καὶ υἱάσι φασὶ κεκάσθαι above all these (as if ἐκ τούτων), Il. 24.546.
all the Hellenes, Il. 2.530, Hes. Op. 528, Archil. 52, Str. 8.6.6, Ph. 2.477; τὸν Πανελλήνων νόμον σῴζων E. Supp. 526; οἱ Π. the Greeks, Phld. Mus. p.78 K., Piet. 17, Rh. 2.224 S.
cunliffe_lex
ἐγχείη -ης, ἡ [= ἔγχος.] 1 A spear Il. 2.818, Il. 3.137, Il. 5.167, Il. 7.261, Il. 16.75, Il. 21.69, etc.: Od. 9.55, Od. 11.40. 2 Spearmanship, the spear: κέκαστο πάντας ἐγχείῃ Il. 14.125. Cf. Il. 2.530.
καίνυμαι 2 sing. pf. (in pres. sense) κέκασσαι Od. 19.82. 3 sing. κέκασται Il. 20.35. 1 pl. κεκάσμεθα Od. 24.509. Acc. sing. masc. pple. κεκασμένον Od. 4.725, 815. Voc. κεκασμένε Il. 4.339. Infin. κεκάσθαι Il. 24.546. 3 sing. plupf. (in impf. sense) ἐκέκαστο Il. 2.530, Il. 5.54, Il. 13.431, Il. 16.808, Il. 23.289, Il. 24.535: Od. 2.158, Od. 9.509, Od. 19.395. κέκαστο Il. 14.124: Od. 7.157. (ἀπο-.) 1 To excel, surpass, be superior to (another or others). With dat. of that in which one excels: ἐγχειῃ ἐκέκαστο πανέλληνας Il. 2.530. Cf. Il. 13.431, Il. 14.124, Il. 16.808: Od. 19.395. Sim. with infin.: ὁμηλικίην ἐκέκαστο ὄρνιθας γνῶναι Od. 2.158. Cf. Od. 3.282. 2 To excel, be pre-eminent. With dat.: ἑκηβολίαι, ᾗσιν τὸ πρίν γʼ ἐκέκαστο Il. 5.54, ὃς ἐπὶ φρεσὶ κέκασται (ἐπί advbl.) Il. 20.35. Cf. Il. 4.339, Il. 23.289, Il. 24.535: παντοίῃς ἀρετῇσι κεκασμένον ἐν Δαναοῖσιν Od. 4.725=815. Cf. Od. 7.157, Od. 9.509, Od. 19.82, Od. 24.509. With genit. of those whom one excels and dat.: τῶν σε πλούτῳ κεκάσθαι Il. 24.546.
καίνυμαι 2 sing. pf. (in pres. sense) κέκασσαι Od. 19.82. 3 sing. κέκασται Il. 20.35. 1 pl. κεκάσμεθα Od. 24.509. Acc. sing. masc. pple. κεκασμένον Od. 4.725, 815. Voc. κεκασμένε Il. 4.339. Infin. κεκάσθαι Il. 24.546. 3 sing. plupf. (in impf. sense) ἐκέκαστο Il. 2.530, Il. 5.54, Il. 13.431, Il. 16.808, Il. 23.289, Il. 24.535: Od. 2.158, Od. 9.509, Od. 19.395. κέκαστο Il. 14.124: Od. 7.157. (ἀπο-.) 1 To excel, surpass, be superior to (another or others). With dat. of that in which one excels: ἐγχειῃ ἐκέκαστο πανέλληνας Il. 2.530. Cf. Il. 13.431, Il. 14.124, Il. 16.808: Od. 19.395. Sim. with infin.: ὁμηλικίην ἐκέκαστο ὄρνιθας γνῶναι Od. 2.158. Cf. Od. 3.282. 2 To excel, be pre-eminent. With dat.: ἑκηβολίαι, ᾗσιν τὸ πρίν γʼ ἐκέκαστο Il. 5.54, ὃς ἐπὶ φρεσὶ κέκασται (ἐπί advbl.) Il. 20.35. Cf. Il. 4.339, Il. 23.289, Il. 24.535: παντοίῃς ἀρετῇσι κεκασμένον ἐν Δαναοῖσιν Od. 4.725=815. Cf. Od. 7.157, Od. 9.509, Od. 19.82, Od. 24.509. With genit. of those whom one excels and dat.: τῶν σε πλούτῳ κεκάσθαι Il. 24.546.