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Evans Point

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EvansPoint

The intersection Ev of the Gergonne line and the Euler line. It has triangle center function

alpha=(b(a-b+c)cosB+c(a+b-c)cosC-2a^2cosA)/(2a)

and is Kimberling center X_(1375).

See also

Euler-Gergonne-Soddy Triangle, Euler Line, Gergonne Line

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References

Kimberling, C. "Encyclopedia of Triangle Centers: X(Evans Point)=1375." http://faculty.evansville.edu/ck6/encyclopedia/ETC.html#X1375.Oldknow, A. "The Euler-Gergonne-Soddy Triangle of a Triangle." Amer. Math. Monthly 103, 319-329, 1996.

Referenced on Wolfram|Alpha

Evans Point

Cite this as:

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

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