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Second Morley Cubic


SecondMorleyCubic

The second 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, 1134, 1135, 1136, and 1137.


See also

First 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. "K030: Morley (Second) Cubic." http://perso.wanadoo.fr/bernard.gibert/Exemples/k030.html.

Referenced on Wolfram|Alpha

Second Morley Cubic

Cite this as:

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

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