If the pedal triangle of a point 
in a triangle 
is a Cevian triangle,
then the point 
is called the pedal-cevian point of 
with respect to the pedal
triangle.
The circumcenter 
, orthocenter 
, and incenter 
of a triangle 
are always pedal-Cevian points, with corresponding
pedal triangles given by the medial triangle 
, orthic
triangle 
,
and contact triangle 
, respectively, and pedal
points the triangle centroid 
, orthocenter 
, and Gergonne point 
, respectively (Honsberger 1995, p. 142).
If 
is a pedal-Cevian point of a triangle, then so is its isotomic
conjugate 
,
as is its reflection 
in the circumcenter (Honsberger
1995, p. 143).
