Etymology
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equality (n.)

late 14c., "evenness, smoothness, uniformity;" c. 1400 in reference to amount or number; from Old French equalité "equality, parity" (Modern French égalité, which form dates from 17c.), from Latin aequalitatem (nominative aequalitas) "equality, similarity, likeness" (also sometimes with reference to civil rights), from aequalis "uniform, identical, equal" (see equal (adj.)). Early 15c. as "state of being equal." Of privileges, rights, etc., in English from 1520s.

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Definitions of equality

equality (n.)
the quality of being the same in quantity or measure or value or status;
equality (n.)
a state of being essentially equal or equivalent; equally balanced;
Synonyms: equivalence / equation / par
From wordnet.princeton.edu