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Gauss's Line

Let ABC be a triangle. Let a line intersect the sides of ABC (perhaps extended) at A', B', and C'. Then the midpoints of the segments AA', BB', and CC' are collinear.

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See problem 6 in Classical Theorems in Plane Geometry.

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"Gauss's Line" from the Wolfram Demonstrations Project
 http://demonstrations.wolfram.com/GausssLine/
Contributed by: Jay Warendorff
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