I.to look over, overlook, i. e. to allow, suffer:
1.mostly c. part., οὐ περιεῖδον αὐτὸν ἀναρπασθέντα they did not overlook his being carried off, i. e. did not suffer him to be . . , Hdt.; μὴ περιιδεῖν τὴν ἡγεμονίην αὖτις ἐς Μήδους περιελθοῦσαν id=Hdt., etc.; ταῦτα περιιδεῖν γιγνόμενα Dem.; but, εἰ ὑμᾶς τοὺς ἐναντιουμένους περιίδοιμεν if we overlook your opposition, Thuc.
2.c. inf., περιιδόντες τοὺς Πέρσας ἐσελθεῖν having suffered them to enter, Hdt., etc.:—with the inf. omitted, οὐκ ἄν με περιεῖδες [ποιέειν] id=Hdt.; π. τὴν ὕβριν Xen.
III.Mid. to look about before doing a thing, to watch the turn of events, to watch and wait, id=Thuc.
2.c. gen. to look round after, watch over, id=Thuc.