equal (adj)
Sens 1 : of the same measure, quantity, amount, or number as another: identical in mathematical value or logical denotation [source : MW]
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Sens 2 : not showing variation in appearance, structure, or proportion. [source : MW]
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Sens 1 : to be the same in size, quantity, value, etc. as something else. [source : OAAD]
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Sens 2 : to be as good as something else or do something to the same standard as someone else. [source : OAAD]
equality (nom)
Sens 1 : the condition of being equal in quantity, amount, value, intensity, etc. [source : OED]
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Sens 2 : the condition of having equal dignity, rank, or privileges with others;
the fact of being on an equal footing. [source : OED]