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).

**References**

Gallatly, W. *The Modern Geometry of the Triangle, 2nd ed.* London: Hodgson, pp. 56-58, 1913.

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1999-05-25