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The Collaborative International Dictionary
To a nicety

Nicety \Ni"ce*ty\, n.; pl. Niceties. [OE. nicet['e] foolishness.]

  1. The quality or state of being nice (in any of the senses of that word.).

    The miller smiled of her nicety.
    --Chaucer.

  2. Delicacy or exactness of perception; minuteness of observation or of discrimination; precision.

  3. A delicate expression, act, mode of treatment, distinction, or the like; a minute distinction.

    The fineness and niceties of words.
    --Locke.

    To a nicety, with great exactness or accuracy.

Wiktionary
to a nicety

adv. (context idiomatic English) To a fine point, with great exactness or accuracy.