The Collaborative International Dictionary of English v.0.48:

Contrate \Con"trate\, a. [See Contra-.]
   Having cogs or teeth projecting parallel to the axis, instead
   of radiating from it. [R.]
   [1913 Webster]

   Contrate wheel. See Crown wheel.
      [1913 Webster]

The Collaborative International Dictionary of English v.0.48:

Crown wheel \Crown" wheel`\ (hw?l`). [Named from its resemblance
   to a crown.] (Mach.)
   A wheel with cogs or teeth set at right angles to its plane;
   -- called also a contrate wheel or face wheel.
   [1913 Webster]