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Problem of the Week

Geometry Series #1

If D, E, and F be the midpoints of the sides BC, CA, and AB of the triangle ABC, and AP, BP, CP meet the opposite sides in L, M, and N, P being any point in the plane, prove that the joins of D, E, and F to the midpoints of AL, BM, and CN are concurrent.

(Geometry: A Comprehensive Course)

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