Quoif n. & v. t. See Coif.
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  Coif n.
  1. A cap. Specifically: (a) A close-fitting cap covering the sides of the head, like a small hood without a cape. (b) 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.