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Anticomplementary Circle


AnticomplementaryCircle

The anticomplementary circle is the circumcircle of the anticomplementary triangle. It has radius

 R_A=2R,

where R is the circumradius of the reference triangle, and center at the orthocenter H. Its circle function is

 l=(a^2)/(bc),

corresponding to the third power point X_(32).

It passes through Kimberling centers X_i for i=146, 147, 148, 149, 150, 151, 152, and 153.


See also

Anticomplementary Triangle, Central Circle, Johnson Circles

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Cite this as:

Weisstein, Eric W. "Anticomplementary Circle." From MathWorld--A Wolfram Web Resource. https://mathworld.wolfram.com/AnticomplementaryCircle.html

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