The Collaborative International Dictionary of English v.0.48:
Homologous \Ho*mol"o*gous\, a. [Gr. ? assenting, agreeing; ? the
same + ? speech, discourse, proportion, ? to say, speak.]
Having the same relative position, proportion, value, or
structure. Especially:
(a) (Geom.) Corresponding in relative position and
proportion.
[1913 Webster]
In similar polygons, the corresponding sides,
angles, diagonals, etc., are homologous. --Davies &
Peck (Math.
Dict.).
(b) (Alg.) Having the same relative proportion or value, as
the two antecedents or the two consequents of a
proportion.
(c) (Chem.) Characterized by homology; belonging to the same
type or series; corresponding in composition and
properties. See Homology, 3.
(d) (Biol.) Being of the same typical structure; having like
relations to a fundamental type to structure; as, those
bones in the hand of man and the fore foot of a horse are
homologous that correspond in their structural relations,
that is, in their relations to the type structure of the
fore limb in vertebrates.
[1913 Webster]
Homologous stimulus. (Physiol.) See under Stimulus.
[1913 Webster]