Quadrate v. i. (past & past part. quadrated; pres. part. quadrating) To square; to agree; to suit; to correspond; followed by with. (Archaic) "The objections of these speculatists of its forms do not quadrate with their theories."
... mysteries and exquisite scientific manipulations of heraldry, and they may be heard talking with compassionate contempt of some one so grossly ignorant as not to know a bar-dexter from a bend-sinister, or who asks what is meant by a cross potent quadrate party per pale. ... — The Book-Hunter - A New Edition, with a Memoir of the Author • John Hill Burton