A triangle center is called a major triangle center if the triangle center function is a function of angle alone, and therefore and of and alone, respectively. The following table summarizes a number of major triangle centers.
Kimberling center | triangle center | triangle center function |
incenter | 1 | |
circumcenter | ||
orthocenter | ||
Fermat point | ||
2nd isogonic center | ||
1st isodynamic point | ||
2nd isodynamic point | ||
1st Napoleon point | ||
2nd Napoleon point | ||
Clawson point | ||
perspector of and orthic-of-orthic triangle | ||
homothetic center of orthic and tangential triangles | ||
perspector of the orthic and intangents triangles | ||
inverse of the incenter in the circumcircle | ||
center of sine-triple-angle circle | ||
reflection of incenter about Feuerbach point | ||
Ceva point of incenter and Clawson point | ||