The Collaborative International Dictionary of English v.0.48:

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.
   [1913 Webster]

   To vary uniformly (Math.), to vary with the ratio of the
      corresponding increments constant; -- said of two
      dependent quantities with regard to each other.
      [1913 Webster]

WordNet (r) 3.0 (2006):

uniformly
    adv 1: in a uniform manner; "a uniformly bright surface"