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Third Morley Cubic


ThirdMorleyCubic

The third Morley cubic is the triangle cubic with trilinear equation

 sum_(cyclic)alpha(beta^2-gamma^2){cos[1/3(A-2pi)]+2cos[1/3(B-2pi)]cos[1/3(C-2pi)]}.

It passes through Kimberling centers X_n for n=1, 357, 358, 1136, and 1137.


See also

First Morley Cubic, Second Morley Cubic

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References

Gibert, B. "Table 9: Morley & Co." http://perso.wanadoo.fr/bernard.gibert/Tables/table9.html.Gibert, B. "K031: Morley (Third) Cubic." http://perso.wanadoo.fr/bernard.gibert/Exemples/k031.html.

Referenced on Wolfram|Alpha

Third Morley Cubic

Cite this as:

Weisstein, Eric W. "Third Morley Cubic." From MathWorld--A Wolfram Web Resource. https://mathworld.wolfram.com/ThirdMorleyCubic.html

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