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Congruent Isoscelizers Point


CongruentIsoscelizersPoint

In 1989, P. Yff proved there is a unique configuration of isoscelizers for a given triangle such that all three have the same length and are concurrent (C. Kimberling, pers. comm.). This point of concurrence is called the congruent isoscelizers point, and has triangle center function

 alpha=cos(1/2B)+cos(1/2C)-cos(1/2A).

See also

Equal Parallelians Point, Isoscelizer

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References

Kimberling, C. "Congruent Isoscelizers Point." http://faculty.evansville.edu/ck6/tcenters/recent/conisos.html.

Referenced on Wolfram|Alpha

Congruent Isoscelizers Point

Cite this as:

Weisstein, Eric W. "Congruent Isoscelizers Point." From MathWorld--A Wolfram Web Resource. https://mathworld.wolfram.com/CongruentIsoscelizersPoint.html

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