The Collaborative International Dictionary of English v.0.48:

Homogeneous \Ho`mo*ge"ne*ous\, a. [Gr. ?; ? the same + ? race,
   kind: cf. F. homog[`e]ne. See Same, and Kin.]
   1. Of the same kind of nature; consisting of similar parts,
      or of elements of the like nature; -- opposed to
      heterogeneous; as, homogeneous particles, elements, or
      principles; homogeneous bodies.
      [1913 Webster]

   2. (Alg.) Possessing the same number of factors of a given
      kind; as, a homogeneous polynomial.
      [1913 Webster]

WordNet (r) 3.0 (2006):

homogeneous
    adj 1: all of the same or similar kind or nature; "a close-knit
           homogeneous group" [syn: homogeneous, homogenous]
           [ant: heterogeneous, heterogenous]

The Free On-line Dictionary of Computing (19 January 2023):

homogeneous
homogenous

   (Or "homogenous") Of uniform nature, similar in kind.

   1. In the context of distributed systems, middleware makes
   heterogeneous systems appear as a homogeneous entity.  For
   example see: interoperable network.

   Constrast heterogeneous.

   2.  (Of a polynomial) containing terms of the
   same degree with respect to all the variables, as in x^2 + 2xy
   + y^2.

   3.  (Of a function) containing a set of
   variables such that when each is multiplied by a constant,
   this constant can be eliminated without altering the value of
   the function, as in cos x/y + x/y.

   4.  (of an equation) containing a homogeneous
   function made equal to 0.

   (1999-05-06)