Simson Cubic
SimsonCubic
The Simson cubic is the triangle cubic that is the locus of tripoles of the Simson lines of a triangle DeltaABC. It has trilinear equation
It passes through Kimberling centers X_n for n=2, 2394, 2395, 2396, 2397, 2398, 2399, 2400, 2401, 2402, 2403, 2404, 2405, 2406, 2407, 2408, 2409, 2410, 2411, 2412, 2413, 2414, 2415, 2416, 2417, 2418, and 2419.
See also
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References
Ehrmann, J.-P. and Gibert, B. "The Simson Cubic." Forum Geom. 1, 107-114, 2001. https://web.archive.org/web/20240427033643/https://forumgeom.fau.edu/FG2001volume1/FG200115index.html.Gibert, B. "Simson Cubic." http://bernard-gibert.fr/Exemples/k010.html.Referenced on Wolfram|Alpha
Simson CubicCite this as:
Weisstein, Eric W. "Simson Cubic." From MathWorld--A Wolfram Resource. https://mathworld.wolfram.com/SimsonCubic.html