Concurrency Induced by a Cevian


	Let ABC be a triangle and let M be a point on AB. Let P and Q be the intersections of the angle bisectors of and with BC and AC respectively. Then AP, BQ, and CM are concurrent.


	Contributed by: Jay Warendorff

See Classical Theorems in Plane Geometry (problem 14).

Angle Bisector (Wolfram MathWorld)

Cevian (Wolfram MathWorld)

Concurrent (Wolfram MathWorld)

"Concurrency Induced by a Cevian" from The Wolfram Demonstrations Project
http://demonstrations.wolfram.com/ConcurrencyInducedByACevian/

Contributed by: Jay Warendorff

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Plane Geometry
Triangles

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The Midpoints of Two Cevians
A Concurrency from a Point and a Triangle's Excenters
The Medial Triangle and Concurrency at the Nagel Point
A Concurrency of Lines through Points of Tangency with Excircles

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