Source : Webster's Revised Unabridged Dictionary (1913)

Uniformly \U"ni*form`ly\, adv.
   In a uniform manner; without variation or diversity; by a
   regular, constant, or common ratio of change; with even
   tenor; as, a temper uniformly mild.

   {To vary uniformly} (Math.), to vary with the ratio of the
      corresponding increments constant; -- said of two
      dependent quantities with regard to each other.

Source : WordNet®

uniformly
     adv : in a uniform manner; "a uniformly bright surface"