a. [ Gr. &unr_;; &unr_; the same + &unr_; race, kind: cf. F. homogène. 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 ]