The Collaborative International Dictionary
Branch \Branch\, v. i. [imp. & p. p. Branched; p. pr. & vb. n. Branching.]
To shoot or spread in branches; to separate into branches; to ramify.
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To divide into separate parts or subdivision.
To branch off, to form a branch or a separate part; to diverge.
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.
Usage examples of "to branch off".
The programs were too narrow-minded to branch off into other plot lines, too stupid to stop and wait if you got up to change your personality or check your portfolio.
They dodged down yet another street and found themselves in a part of town where the streets seemed to branch off each other like tangled spaghetti.