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Douglas-Neumann Theorem


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.


See also

Directly Similar, Petr-Neumann-Douglas Theorem

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References

Eves, H. "Solution to Problem E521." Amer. Math. Monthly 50, 64, 1943.Musselman, J. R. "Problem E521." Amer. Math. Monthly 49, 335, 1942.

Referenced on Wolfram|Alpha

Douglas-Neumann Theorem

Cite this as:

Weisstein, Eric W. "Douglas-Neumann Theorem." From MathWorld--A Wolfram Web Resource. https://mathworld.wolfram.com/Douglas-NeumannTheorem.html

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