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From Webster's Revised Unabridged Dictionary (1913) [web1913]:

  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}.

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