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From: Webster's Revised Unabridged Dictionary (1913)

 Ses·quip·li·cate a.  Math. Subduplicate of the triplicate; -- a term applied to ratios; thus, a and a´ are in the sesquiplicate ratio of b and b´, when a is to a´ as the square root of the cube of b is to the square root of the cube of b´, or a:a´::√b³:√b´³.
    The periodic times of the planets are in the sesquiplicate ratio of their mean distances.   --Sir I. Newton.