Georg Autenrieth, A Homeric Dictionary

τυγχάνω , fut. τεύξομαι, aor. 2 ἔτυχον, τύχον, subj. τύχωμι, aor. 1 (ἐ）τύχησα, perf. part. τετυχηκώς: (1) hit the mark, w. gen., Il. 16.609, etc.; freq. the part. τυχών, τυχήσα_ς and βάλλω, οὐτάω, νύσσω (where the acc. is to be construed not w. the part. but w. the verb), Il. 4.106, Il. 5.582; so fig. w. part. of another verb, be successful in doing something, succeed; οὐκ ἐτύχησεν ἑλίξα_ς, Il. 23.466; abs. (without part.), Il. 8.430; then, come upon, chance upon, hence get, gain, obtain, Od. 21.13, Il. 5.587, Od. 15.158.—(2) happen to be there, be by chance, happen; often nearly equiv. to εἶναι, Ρ 748, Od. 10.88; often w. part. which in Eng. becomes the principal verb, τύχησε γὰρ ἐρχομένη νηῦς, ‘was by chance about to sail,’ Od. 14.334; impers., fall to one's share, Il. 11.684.