Let and denote two directly similar figures in the plane, where corresponds to under the given similarity. Let , and define . Then is also directly similar to .

**References**

Detemple, D. and Harold, S. ``A Round-Up of Square Problems.'' *Math. Mag.* **69**, 15-27, 1996.

Eves, H. Solution to Problem E521. *Amer. Math. Monthly* **50**, 64, 1943.

© 1996-9

1999-05-26