The contact triangle of a triangle Δ A B C, also called the intouch triangle, is the triangle Δ C_A C_B C_C formed by the points of tangency of the incircle of Δ A B C with Δ A B C. The contact triangle is therefore the pedal triangle of Δ A B C with respect to the incenter I of Δ A B C. It is also the Cevian triangle of Δ A B C with respect to the Gergonne point Ge and the cyclocevian triangle with respect to the same point. The contact triangle is the polar triangle of the incircle.
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