The Collaborative International Dictionary of English v.0.48:
Branch \Branch\, v. i. [imp. & p. p. Branched; p. pr. & vb. n.
1. To shoot or spread in branches; to separate into branches;
2. To divide into separate parts or subdivision.
To branch off, to form a branch or a separate part; to
To branch out, to speak diffusively; to extend one's
discourse to other topics than the main one; also, to
enlarge the scope of one's business, etc.
To branch out into a long disputation. --Spectator.