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τύχη 1 cf. τυγχάνω

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.
4.Adverbial usages, τύχῃ by chance, Lat. forte, forte fortuna, Soph., etc.; ἀπὸ τύχης Arist.; ἐκ τύχης Plat.; διὰ τύχην Isocr., etc.; κατὰ τύχην Thuc., etc.
III.a chance, hap, accident, Aesch., Soph., etc.; τῆς τύχης, τὸ ἐμὲ τυχεῖν . . ! what a piece of ill-luck, that . . ! Xen.; mostly of mishaps, misfortunes, Aesch., etc.

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