Source : Webster's Revised Unabridged Dictionary (1913)

Equate \E*quate"\, v. t. [imp. & p. p. {Equated}; p. pr. & vb.
   n. {Equating}.] [L. aequatus, p. p. of aequare to make level
   or equal, fr. aequus level, equal. See {Equal}.]
   To make equal; to reduce to an average; to make such an
   allowance or correction in as will reduce to a common
   standard of comparison; to reduce to mean time or motion; as,
   to equate payments; to equate lines of railroad for grades or
   curves; equated distances.

         Palgrave gives both scrolle and scrowe and equates both
         to F[rench] rolle.                       --Skeat
                                                  (Etymol. Dict.
                                                  ).

   {Equating for grades} (Railroad Engin.), adding to the
      measured distance one mile for each twenty feet of ascent.
      

   {Equating for curves}, adding half a mile for each 360
      degrees of curvature.

Grade \Grade\, n. [F. grade, L. gradus step, pace, grade, from
   gradi to step, go. Cf. {Congress}, {Degree}, {Gradus}.]
   1. A step or degree in any series, rank, quality, order;
      relative position or standing; as, grades of military
      rank; crimes of every grade; grades of flour.

            They also appointed and removed, at their own
            pleasure, teachers of every grade.    --Buckle.

   2. In a railroad or highway:
      (a) The rate of ascent or descent; gradient; deviation
          from a level surface to an inclined plane; -- usually
          stated as so many feet per mile, or as one foot rise
          or fall in so many of horizontal distance; as, a heavy
          grade; a grade of twenty feet per mile, or of 1 in
          264.
      (b) A graded ascending, descending, or level portion of a
          road; a gradient.

   3. (Stock Breeding) The result of crossing a native stock
      with some better breed. If the crossbreed have more than
      three fourths of the better blood, it is called high
      grade.

   {At grade}, on the same level; -- said of the crossing of a
      railroad with another railroad or a highway, when they are
      on the same level at the point of crossing.

   {Down grade}, a descent, as on a graded railroad.

   {Up grade}, an ascent, as on a graded railroad.

   {Equating for grades}. See under {Equate}.

   {Grade crossing}, a crossing at grade.