The Collaborative International Dictionary of English v.0.48:

Hyperapophysis \Hy`per*a*poph"y*sis\, n.; pl. Hyperapophyses.
   [NL. See Hyper-, and Apophysis.] (Anat.)
   A lateral and backward-projecting process on the dorsal side
   of a vertebra. -- Hy`per*ap`o*phys"i*al, a.
   [1913 Webster]