δίειμι · dieimi — LSJ
go to and fro, roam about, Ar. Ach. 845; of a report, spread, λόγος διῄει Plu. Ant. 56.
pass through. διʼ αὐτῶν μέσων Th. 3.21; get through, escape, διὰ τῶν πόρων Arist. Cael. 307b13; ἔξω Thphr. CP 5.9.12: abs., Arist. Ph. 204a4.
pass, ἡμέρα χειμέριος δίεισιν Thphr. Sign. 46; proceed, of a play, Ar. Ra. 920.
c. acc., go through, traverse, Id. Av. 1392: c. acc. cogn., δ. τὸν θεῖον δρόμον Pl. Ax. 370e.
go through a subject in speaking or writing, narrate, describe, discuss, Id. Cri. 47c; δ. τῷ λόγῳ Id. Grg. 505e, cf. Nic. ll. cc., Luc. Icar. 3.