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Douglas Harper's Etymology Dictionary
equiparation

mid-15c., "impartial treatment;" 1610s, "equal ranking;" from Latin aequiparationem (nominative aequiparatio) "an equalizing, comparison," from past participle stem of aequiparare "put on equality, compare," from aequipar "equal, alike," from aequus "equal, even" (see equal (adj.)) + par (see par (n.)). Related: Equiparate.