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From The Collaborative International Dictionary of English v.0.48:
Wave \Wave\, v. i. [imp. & p. p. Waved; p. pr. & vb. n. Waving.] [OE. waven, AS. wafian to waver, to hesitate, to wonder; akin to w[ae]fre wavering, restless, MHG. wabern to be in motion, Icel. vafra to hover about; cf. Icel. v[=a]fa to vibrate. Cf. Waft, Waver.] [1913 Webster] 1. To play loosely; to move like a wave, one way and the other; to float; to flutter; to undulate. [1913 Webster] His purple robes waved careless to the winds. --Trumbull. [1913 Webster] Where the flags of three nations has successively waved. --Hawthorne. [1913 Webster] 2. To be moved to and fro as a signal. --B. Jonson. [1913 Webster] 3. To fluctuate; to waver; to be in an unsettled state; to vacillate. [Obs.] [1913 Webster] He waved indifferently 'twixt doing them neither good nor harm. --Shak. [1913 Webster]