Homoiousian \Ho`moi*ou"si*an\, a. Of or pertaining to Homoiousians, or their belief. Homoiousian \Ho`moi*ou"si*an\, n. [Gr. ?, ?, of like substance; "o`moios + o'ysi`a the substance, being, essence.] (Eccl. Hist.) One of the semi-Arians of the 4th century, who held that the Son was of like, but not the same, essence or substance with the Father; -- opposed to homoousian.