The Collaborative International Dictionary of English v.0.48:

Encyclic \En*cyc"lic\, Encyclical \En*cyc"li*cal\, n.
   An encyclical letter, esp. one from a pope. --Shipley.
   Encyclopedia

The Collaborative International Dictionary of English v.0.48:

Encyclic \En*cyc"lic\, Encyclical \En*cyc"li*cal\, a. [L.
   encyclios of a circle, general, Gr. ?; ? in + ? circle: cf.
   F. encyclique. See Cycle.]
   Sent to many persons or places; intended for many, or for a
   whole order of men; general; circular; as, an encyclical
   letter of a council, of a bishop, or the pope. Encyclic