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.
      [1913 Webster]

   2. To efface or remove.
      [1913 Webster]

            He planed away the names . . . written on his
            tables.                               --Chaucer.
      [1913 Webster]

   3. Figuratively, to make plain or smooth. [R.]
      [1913 Webster]

            What student came but that you planed her path.
                                                  --Tennyson.
      [1913 Webster]