According to the entry of in :
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The interjection sense first appears in 1254:
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And the adjective in 1477:
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It suggests that the adjective usage of (with all its derivation) is a secondary development.
While derives from an older form in the middle ages, dates back to , that means those two are not cognate.
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As an aside, also generated a derived verb, namely > "deny, negate", which has been widely used till now.