Georg Autenrieth, A Homeric Dictionary

τεύχω , fut. -ξω, aor. ἔτευξα, τεῦξε, aor. 2 inf. red. τετυκεῖν, perf. part. τετευχώς, mid. fut. inf. τεύξεσθαι, aor. 2 red. τετύκοντο, opt. -οίμεθα, inf. -έσθαι, pass. perf. 2 sing. τέτυξαι, τέτυκται, 3 pl. τετεύχαται, inf. τετύχθαι, imp. τετύχθω, τετύγμην, (ἐ）τέτυξο, -το, 3 pl. (ἐ）τετεύχατο, aor. ἐτύχθη, fut. perf. τετεύξεται: I. act., make, cause, of all kinds of handiwork, and metaph., ἄλγεα, κήδεά τινι, Α 110, Od. 1.244; so prepare, δεῖπνον, etc.; with two accusatives, make, render, Il. 1.4.—Mid., prepare or have prepared for oneself, Il. 1.467, Il. 19.208.—II. pass. (fut. mid. w. pass. signif., Il. 5.653), be made, wrought, furnished, or ready, very often the perf. and plup.; also the perf. act. in this sense, Od. 12.423; τετυγμένος, ‘well wrought,’ Il. 16.225, etc.; metaph., νόος τετυγμένος, ‘sound,’ Od. 20.366.—Esp. as synonym of εἶναι, γενέσθαι, be, become, take place, happen; οἷον ἐτύχθη, ποθὴ Δαναοῖσι τέτυκται, θαῦμ᾽ ἐτέτυκτο (for ἐγένετο, γέγονε, ἔστιν, ἦν), Il. 2.320, Il. 17.690, Od. 9.190, and often.