Cevian Circle

The circumcircle of the Cevian triangle of a given triangle with respect to a point .

The following table summarizes a number of named Cevian circles corresponding to given Cevian points . Here, is a Kimberling center.

Cevian point	Kimberling center	Cevian triangle	Cevian circle
incenter		incentral triangle	incentral circle
triangle centroid		medial triangle	nine-point circle
orthocenter		orthic triangle	nine-point circle
symmedian point		symmedial triangle	symmedial circle
Gergonne point		contact triangle	incircle
Nagel point		extouch triangle	Mandart circle
Steiner point		Steiner triangle	Steiner circle
Yff parabolic point		Yff contact triangle	Yff contact circle
		MacBeath triangle	MacBeath circle
		Lemoine triangle	third Lemoine circle
first Yff point		first Yff triangle
second Yff point		second Yff triangle