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If the lines joining corresponding points of two directly similar figures are divided proportionally, then the Locus of the points of the division will be a figure directly similar to the given figures.
References
Eves, H. ''Solution to Problem E521.'' Amer. Math. Monthly 50, 64, 1943.
Musselman, J. R. ``Problem E521.'' Amer. Math. Monthly 49, 335, 1942.