The Collaborative International Dictionary of English v.0.48:

Apollinarian \A*pol`li*na"ri*an\, a. [L. Apollinaris, fr.
   Apollo.] (Rom. Antiq.)
   In honor of Apollo; as, the Apollinarian games.
   [1913 Webster]

The Collaborative International Dictionary of English v.0.48:

Apollinarian \A*pol`li*na"ri*an\, n. (Eccl. Hist.)
   A follower of Apollinaris, Bishop of Laodicea in the fourth
   century, who denied the proper humanity of Christ.
   [1913 Webster]