The pedal triangle
of a point P with respect to the triangle ABC is the triangle A'B'C' having
as vertices the orthogonal projections of P on the sides of ABC.
As example:
The pedal triangle
of the circumcenter is the
medial
triangle.
The pedal triangle
of the orthocenter is the orthic
triangle.
The pedal triangle
of the incenter is the intouch
triangle.
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