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First Morley Center

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FirstMorleyCenter

The first Morley center is the center of Morley's circle. It has triangle center function

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

and is Kimberling center X_(356).

See also

Morley Centers, Second Morley Center

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References

Kimberling, C. "Central Points and Central Lines in the Plane of a Triangle." Math. Mag. 67, 163-187, 1994.Kimberling, C. "1st and 2nd Morley Centers." http://faculty.evansville.edu/ck6/tcenters/recent/morley.html.Oakley, C. O. and Baker, J. C. "The Morley Trisector Theorem." Amer. Math. Monthly 85, 737-745, 1978.

Referenced on Wolfram|Alpha

First Morley Center

Cite this as:

Weisstein, Eric W. "First Morley Center." From MathWorld--A Wolfram Web Resource. https://mathworld.wolfram.com/FirstMorleyCenter.html

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