Source : Webster's Revised Unabridged Dictionary (1913)

Equality \E*qual"i*ty\, n.; pl. {Equalities}. [L. aequalitas,
   fr. aequalis equal. See {Equal}.]
   1. The condition or quality of being equal; agreement in
      quantity or degree as compared; likeness in bulk, value,
      rank, properties, etc.; as, the equality of two bodies in
      length or thickness; an equality of rights.

            A footing of equality with nobles.    --Macaulay.

   2. Sameness in state or continued course; evenness;
      uniformity; as, an equality of temper or constitution.

   3. Evenness; uniformity; as, an equality of surface.

   4. (Math.) Exact agreement between two expressions or
      magnitudes with respect to quantity; -- denoted by the
      symbol =; thus, a = x signifies that a contains the same
      number and kind of units of measure that x does.

   {Confessional equality}. See under {Confessional}.

Source : WordNet®

equality
     n 1: the quality of being the same in quantity or measure or
          value or status [ant: {inequality}]
     2: a state of being essentially equal or equivalent; equally
        balanced; "on a par with the best" [syn: {equivalence}, {equation},
         {par}]