The Gergonne Point

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Let ABC be a triangle. Let A', B', and C' be the points of contact of ABC with the incircle opposite A, B, and C, respectively. Then AA', BB', and CC' are concurrent at the Gergonne point.

External Links

Concurrent (Wolfram MathWorld)
Gergonne Point (Wolfram MathWorld)
Incircle (Wolfram MathWorld)

Permanent Citation

Jay Warendorff
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​"The Gergonne Point"​
​http://demonstrations.wolfram.com/TheGergonnePoint/​
​Wolfram Demonstrations Project​
​Published: March 7, 2011