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Morley's Circle


MorleysCircle

Morley's circle is the circumcircle of the first Morley triangle. Its center is the first Morley center, which has center function

 alpha_(356)=cos(1/3A)+2cos(1/3B)cos(1/3C),

which is Kimberling center X_(356). It has a radius and circle function that appear to be rather complicated, and the circle function is not a Kimberling center.

No Kimberling centers lie on it.


See also

First Morley Triangle, Morley Centers

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Cite this as:

Weisstein, Eric W. "Morley's Circle." From MathWorld--A Wolfram Web Resource. https://mathworld.wolfram.com/MorleysCircle.html

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