We don't have synonyms for homoiousian yet — it may be a rare, specialized, newly coined, or misspelled word. The closest thesaurus entries we have are homoousian, homoiousia and homoousia.
(adj) :
Having a similar but not identical essence, especially with reference to the first and second persons of the Trinity.
(n) :
(historical) 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.
(adj) :
Having a similar but not identical essence, especially with reference to the first and second persons of the Trinity.
(n) :
(historical) 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.