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.

Details

See problem 6 in Classical Theorems in Plane Geometry.

External Links

Collinear (Wolfram MathWorld)

Midpoint (Wolfram MathWorld)

Permanent Citation

Jay Warendorff

"Gauss's Line"
http://demonstrations.wolfram.com/GausssLine/
Wolfram Demonstrations Project
Published: March 7, 2011