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)].](/images/equations/FirstMorleyCubic/NumberedEquation1.svg) |
It passes through Kimberling centers 
for 
, 356, 357, 358, 1134, 1135, 1507, and 1508.
First Morley Cubic
See also
Second Morley Cubic, Third Morley CubicExplore with Wolfram|Alpha
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 CubicCite this as:
Weisstein, Eric W. "First Morley Cubic." From MathWorld--A Wolfram Web Resource. https://mathworld.wolfram.com/FirstMorleyCubic.html