Kimberling’s point X(24)
1. Perspector of Triangle ABC and Orthic Triangle of the Orthic Triangle.
Denote obtuse or acute
Let
be the base triangle,
be Orthic triangle of
be Orthic Triangle of the Orthic Triangle of
. Let
and
be the circumcenter and orthocenter of
Then
and
are homothetic, the point
center of this homothety lies on Euler line
of
the ratio of the homothety is