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 | ||
| 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 | ||