The Collaborative International Dictionary of English v.0.48:

Exegesis \Ex`e*ge"sis\, n.; pl. Exegeses. [NL., fr.Gr. ?,fr. ?
   to explain, interpret; ? out + ? to guide, lead, akin, to ?
   to lead. See Agent.]
   1. Exposition; explanation; especially, a critical
      explanation of a text or portion of Scripture.
      [1913 Webster]

   2. (Math.) The process of finding the roots of an equation.
      [Obs.]
      [1913 Webster]

WordNet (r) 3.0 (2006):

exegesis
    n 1: an explanation or critical interpretation (especially of
         the Bible)