Anticevian Triangle

Anticevian Triangle of a Point

Let P be a point not on a sideline of

ABC. The anticevian triangle of P is the triangle

A₁B₁C₁ such that

ABC is the cevian triangle of P with respect to

A₁B₁C₁

A₁B₁C₁ - anticevian triangle of P.

Examples:

The anticevian triangle of the Incenter is the Excentral Triangle.
The anticevian triangle of the Centroid is the Anticomplementary Triangle.
The anticevian triangle of the Symmedian Point is the Tangential Triangle.