We don't have synonyms for homousian yet — it may be a rare, specialized, newly coined, or misspelled word. The closest thesaurus entries we have are homoousian, homoiousian and homoousia.
(adj) :
Alternative form of homoousian. [Having the same essence or substance, especially with reference to the first and second persons of the Trinity (Father and Son).]
(n) :
Alternative form of homoousian. [(historical) One of those, in the 4th century, who accepted the Nicene Creed and maintained that the Son had the same essence or substance with the Father.]
(adj) :
Alternative form of homoousian. [Having the same essence or substance, especially with reference to the first and second persons of the Trinity (Father and Son).]
(n) :
Alternative form of homoousian. [(historical) One of those, in the 4th century, who accepted the Nicene Creed and maintained that the Son had the same essence or substance with the Father.]