a. [ Gr. &unr_; assenting, agreeing; &unr_; the same + &unr_; speech, discourse, proportion, &unr_; 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 ]