A.determination or appointment by lot, “ἀρχῆς” Pl.Lg.765d.
b. section of a body, determined by lot, Arist.Ath.30.3, 31.3.
3. without the notion of lot or chance, assigned sphere, “θεῶν καὶ τῶν εἰς θείαν λῆξιν πορευθέντων” Jul.Or.6.187c; ἡ ἑτέρα λ. the other world, Hld.2.24; ἡ ἑῴα λ. the eastern part of the empire, Procop. Gaz.Pan.497.3; ἡ τῆς Ἀθηνᾶς λ. the sphere of Athena, Lib.Or.12.36, Decl.1.175, Ep.1065.3; province, τὰς λ. [τῶν θεῶν] Herm. in Phdr. p.74A.; dwelling-place, εἰ . . αἱ λ. τῶν ψυχῶν . . ὑποσέληνοί εἰσιν ib. p.104A.