duplicate
adjective[L., to double; twofold; to fold. See Double.]
Double; twofold. Duplicate proportion or ratio, is the proportion or ratio of squares. Thus in geometrical proportion, the first term to the third is said to be in a duplicate ratio of the first to the second, or as its square is to the square of the second. Thus in 2. 4. 8. 16., the ratio of 2 to 8 is a duplicate of that of 2 to 4, or as the square of 2 is to the square of