We don't have synonyms for equiparation yet — it may be a rare, specialized, newly coined, or misspelled word. The closest thesaurus entries we have are equipartition.
(n) :
(chiefly historical, law, philosophy) The transfer or imputation of attributes from one object or concept to another; the drawing of an equivalence between them.
(n) :
(chiefly historical, law, philosophy) The transfer or imputation of attributes from one object or concept to another; the drawing of an equivalence between them.