Power Point

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.

	symbol	Kimberling center	triangle center
			third Brocard point
			isotomic conjugate of the incenter
			triangle centroid
0			incenter
1			symmedian point
2			second power point
3			third power point