equality is a Noun
[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] 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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