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The Collaborative International Dictionary
quoif

Coif \Coif\ (koif or kw[aum]f), n. [OF. coife, F. coiffe, LL. cofea, cuphia, fr. OHG. kuppa, kuppha, miter, perh. fr. L. cupa tub. See Cup, n.; but cf. also Cop, Cuff the article of dress, Quoif, n.]

  1. A cap. Specifically:

    1. A close-fitting cap covering the sides of the head, like a small hood without a cape.

    2. An official headdress, such as that worn by certain judges in England. [Written also quoif.]

      From point and saucy ermine down To the plain coif and russet gown.
      --H. Brocke.

      The judges, . . . althout they are not of the first magnitude, nor need be of the degree of the coif, yet are they considerable.
      --Bacon.

  2. a coiffure.

Wiktionary
quoif

n. (obsolete form of coif English)