The equilateral cevian triangle point of a triangle is the unique point 
such that the Cevian triangle
of 
is equilateral. This point is Kimberling center 
.
Equilateral Cevian Triangle Point
See also
Cevian Triangle, Equilateral TriangleExplore with Wolfram|Alpha
References
Huanxin, J. and Goering, D. "Problem 10358 and Solution: Equilateral cevian Triangles." Amer. Math. Monthly 104, 567-570, 1997.Kimberling, C. "Encyclopedia of Triangle Centers: X(370)=Equilateral Cevian Triangle Point." http://faculty.evansville.edu/ck6/encyclopedia/ETC.html#X370.Referenced on Wolfram|Alpha
Equilateral Cevian Triangle PointCite this as:
Weisstein, Eric W. "Equilateral Cevian Triangle Point." From MathWorld--A Wolfram Web Resource. https://mathworld.wolfram.com/EquilateralCevianTrianglePoint.html