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Tucker-Brocard Cubic

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TuckerBrocardCubic

The Tucker-Brocard cubic is the triangle cubic with trilinear equation

abcsum_(cyclic)aalpha(b^2beta^2+c^2gamma^2)=alphabetagammasum_(cyclic)a^2(b^4+c^4).

It passes through Kimberling centers X_n for n=6, 76, 880, and 882.

See also

Triangle Cubic

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References

Gibert, B. "Tucker-Brocard Cubic." http://perso.wanadoo.fr/bernard.gibert/Exemples/k012.html.

Referenced on Wolfram|Alpha

Tucker-Brocard Cubic

Cite this as:

Weisstein, Eric W. "Tucker-Brocard Cubic." From MathWorld--A Wolfram Web Resource. https://mathworld.wolfram.com/Tucker-BrocardCubic.html

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