Triangle centers with triangle center functions of the form are called th power points. These points lie along the trilinear curve that passes through vertices and of the triangle . The following table summarizes special named power points, where denotes the th center in Kimberling's numbering scheme.
Power Point
See also
Incenter, Second Power Point, Symmedian Point, Third Power Point, Triangle Center Function, Triangle CentroidExplore with Wolfram|Alpha
References
Groenman, J. T. and Eddy, R. H. "Problem 858 and Solution." Crux Math. 10, 306-307, 1984.Kimberling, C. "Problem 865." Crux Math. 10, 325-327, 1984.Kimberling, C. "Central Points and Central Lines in the Plane of a Triangle." Math. Mag. 67, 163-187, 1994.Referenced on Wolfram|Alpha
Power PointCite this as:
Weisstein, Eric W. "Power Point." From MathWorld--A Wolfram Web Resource. https://mathworld.wolfram.com/PowerPoint.html