διημερεύω

A. pass the day, μετά τινος Pl. Phd. 59d, X. Cyr. 7.5.53; ἔν τινι in a thing, ib.86, Isoc. 7.48, D.S. 16.46: c. dat., Thphr. Char. 8.14 codd.; ψυχαὶ ἐν τῷ τοῦ παντὸς θεάτρῳ δ. Ph. 1.266: c. part., pass the whole day in doing, Arist. HA 540a16; δ. ἀνάριστον καὶ ἄδειπνον Plu. 2.157d.
2. of things, continue all day, Arist. Pr. 947a25.
Liddell, Scott & Jones
A Greek-English Lexicon, 1940
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