The Collaborative International Dictionary of English v.0.48:

Angelic \An*gel"ic\, Angelical \An*gel"ic*al\, a. [L. angelicus,
   Gr. ?: cf. F. ang['e]lique.]
   1. Belonging to, or proceeding from, angels; resembling,
      characteristic of, or partaking of the nature of, an
      angel; heavenly; divine. "Angelic harps."
      --Thomson."Angelical actions." --Hooker.
      [1913 Webster]

            The union of womanly tenderness and angelic
            patience.                             --Macaulay.
      [1913 Webster]

   2. having a sweet nature befitting an angel or cherub; as, an
      angelic smile.

   Syn: angelic, cherubic, seraphic, sweet.
        [WordNet 1.5]

   3. marked by utter benignity; resembling or befitting an
      angel or saint; as, angelic benificence.

   Syn: angelic, angelical, beatific, saintlike, saintly,
        sainted.
        [WordNet 1.5]

   Angelic Hymn, a very ancient hymn of the Christian Church;
      -- so called from its beginning with the song of the
      heavenly host recorded in Luke ii. 14. --Eadie.
      [1913 Webster]