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First Morley Cubic


FirstMorleyCubic

The first Morley cubic is the triangle cubic with trilinear equation

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

It passes through Kimberling centers X_n for n=1, 356, 357, 358, 1134, 1135, 1507, and 1508.


See also

Second Morley Cubic, Third Morley Cubic

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References

Gibert, B. "Table 9: Morley & Co." http://perso.wanadoo.fr/bernard.gibert/Tables/table9.html.Gibert, B. "K029: Morley (First) Cubic = pK(X6, X356)." http://perso.wanadoo.fr/bernard.gibert/Exemples/k029.html.

Referenced on Wolfram|Alpha

First Morley Cubic

Cite this as:

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

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