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Gauss's Line

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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.

Contributed by: Jay Warendorff (March 2011)
Open content licensed under CC BY-NC-SA

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See problem 6 in Classical Theorems in Plane Geometry.

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