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Contact Triangle

\begin{figure}\begin{center}\BoxedEPSF{ContactTriangle.epsf scaled 800}\end{center}\end{figure}

The Triangle formed by the points of intersection of a Triangle $T$'s Incircle with $T$. This is the Pedal Triangle of $T$ with the Incenter as the Pedal Point (c.f., Tangential Triangle). The contact triangle and Tangential Triangle are perspective from the Gergonne Point.

See also Gergonne Point, Pedal Triangle, Tangential Triangle


Oldknow, A. ``The Euler-Gergonne-Soddy Triangle of a Triangle.'' Amer. Math. Monthly 103, 319-329, 1996.

© 1996-9 Eric W. Weisstein