The Collaborative International Dictionary of English v.0.48:
Plane \Plane\, v. t. [imp. & p. p. Planed; p. pr. & vb. n.
Planing.] [Cf. F. planer, L. planare, fr. planus. See
Plane, a., Plain, a., and cf. Planish.]
1. To make smooth; to level; to pare off the inequalities of
the surface of, as of a board or other piece of wood, by
the use of a plane; as, to plane a plank.
2. To efface or remove.
He planed away the names . . . written on his
3. Figuratively, to make plain or smooth. [R.]
What student came but that you planed her path.