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Parry Point

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ParryPoint

The Parry point is one of the two intersections of the Parry circle and the circumcircle of a triangle (the other is the focus of the Kiepert parabola, which is Kimberling center X_(110)). The Parry point is Kimberling center X_(111) and has triangle center function

alpha_(111)=a/(2a^2-b^2-c^2)

(Kimberling 1998, pp. 227-228).

See also

Kiepert Parabola, Parry Circle, Parry Reflection Point

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References

Kimberling, C. "Triangle Centers and Central Triangles." Congr. Numer. 129, 1-295, 1998.Kimberling, C. "Parry Point." https://faculty.evansville.edu/ck6/tcenters/recent/parry.html.Kimberling, C. "Encyclopedia of Triangle Centers: X(111)=Parry Point." https://faculty.evansville.edu/ck6/encyclopedia/ETC.html#X111.

Referenced on Wolfram|Alpha

Parry Point

Cite this as:

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

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