Source : Webster's Revised Unabridged Dictionary (1913)

Acephali \A*ceph"a*li\, n. pl. [LL., pl. of acephalus. See
   {Acephal}.]
   1. A fabulous people reported by ancient writers to have
      heads.

   2. (Eccl. Hist.)
      (a) A Christian sect without a leader.
      (b) Bishops and certain clergymen not under regular
          diocesan control.

   3. A class of levelers in the time of K. Henry I.