## Antipedal Triangle

The antipedal triangle of a given Triangle is the Triangle of which is the Pedal Triangle. For a Triangle with Trilinear Coordinates and Angles , , and , the antipedal triangle has Vertices with Trilinear Coordinates

The Isogonal Conjugate of the Antipedal Triangle of a given Triangle is Homothetic with the original Triangle. Furthermore, the Product of their Areas equals the Square of the Area of the original Triangle (Gallatly 1913).