I.the good which man obtains (τυγχάνει) by the favour of the gods, good fortune, luck, success, Theogn., Hdt., etc.; σὺν τύχῃ Soph.; θείᾳ τύχῃ, Lat. divinitus, Hdt., etc.:— hence Τύχη was deified, like Lat. Fortuna, Τύχη Σώτειρα Pind.; T. Σωτήρ Aesch.
II.generally, fortune, chance, good or bad, in sg. and pl., Hdt., attic
2.rarely of positive ill fortune, ἢν χρήσωνται τύχῃ, i. e. if they are killed, Eur.; τύχῃ by ill-luck, Antipho.
3.esp., ἀγαθὴ τ. Aesch., etc.; in dat. ἀγαθῇ τύχῃ "in God's name, " Dem., etc.; by crasis, τύχἀγαθῇ Ar.;—this formula was also introduced into treaties, like Lat. quod felix faustumque sit, Λάχης εἶπε, τύχῃ ἀγαθῇ τῶν Ἀθηναίων ποιεῖσθαι τὴν ἐκεχειρίαν Decret. in Thuc.:—so ἐπ᾽ ἀγαθῇ τύχῃ Ar., etc.