Take any point P and construct its pedal triangle by dropping perpendiculars to the sides of the triangle and
constructing a triangle using the feet of these perpendiculars (DEF)
"Pivot" these perpendiculars around P. Where these pivoted perpendiculars intersect the sides of the
triangle construct a new triangle using these points as the vertices (GHI)
This new triangle is always similar to the original pedal triangle. (Drag point G)
