Kimberling Center

The name "Kimberling center" is used in this work in honor of C. Kimberling for the triangle centers whose properties he has extensively tabulated and enumerated (Kimberling 1994, 1998, and online), denoting the th center in his numbering scheme by . 101 (plus 13 additional) centers appeared in Kimberling (1994), 360 in Kimberling (1998), and the remainder appear in a list maintained online by Kimberling at https://faculty.evansville.edu/ck6/encyclopedia/ETC.html. As of Oct. 29, 2026, Kimberling's compilation extends through . A subset of these is illustrated above.

The first few Kimberling centers are summarized in the table below with their numbers, names, and trilinears.

	center	triangle center function
	incenter	1
	triangle centroid	, ,
	circumcenter	,
	orthocenter
	nine-point center	, ,
	symmedian point	,
	Gergonne point	,
	Nagel point	,
	mittenpunkt	,
	Spieker center
	Feuerbach point	,
	harmonic conjugate of with respect to and	, ,
	first Fermat point	,
	second Fermat point	,
	first isodynamic point	,
	second isodynamic point	,
	first Napoleon point	,
	second Napoleon point	,
	Clawson point	, , ,
	de Longchamps point