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 CubicExplore with Wolfram|Alpha
WolframAlpha
References
Gibert, B. "Table 9: Morley & Co." http://bernard-gibert.fr/Tables/table9.html.Gibert, B. "K031: Morley (Third) Cubic." http://bernard-gibert.fr/Exemples/k031.html.Referenced on Wolfram|Alpha
Third Morley CubicCite this as:
Weisstein, Eric W. "Third Morley Cubic." From MathWorld--A Wolfram Resource. https://mathworld.wolfram.com/ThirdMorleyCubic.html