sesquiplicate, a.
(sɛsˈkwɪplɪkət)
[ad. mod.L. sesquiplicātus, f. sesqui- + plicātus folded, plicate, to express the meaning ‘subduplicate of the triplicate’. (L. sesquiplex = taken once and a half.)]
Bearing or involving the ratio of the square roots of the cubes of the terms of a certain ratio.
Thus, a is to a{p} in the sesquiduplicate ratio of b to b{p}, when a:a{p}::√b3:√b{p}3.
1714 Derham Astrol. Theol. (1769) 22 Their motions round the Sun, are in sesquiplicate proportion to their distances from him. 1728 tr. Newton's Syst. World 12 The periodic times of the satellits of Jupiter are, one to another, in the sesquiplicate proportion of their distances from the center of this planet. 1841 Penny Cycl. XIX. 309/2 Sesquiplicate ratio of A to B. 1873 Proctor Expanse of Heaven 108. |