Height foot

height_foot(Point, Point, Point)

height_foot(Triangle, Integer)

Given three points $A$, $B$ and $C$, computes the intersection point of the base and the height of the triangle with $\widehat{ABC}$ (the base of the triangle is the segment $\overline{AC}$).

Given a triangle and an integer $i$, computes the intersection point of the base and the height of the triangle with height at $i$-th vertex.

Height, Orthocenter