MathDB
common midpoints for 6 segments

Source: Polish MO Finals 1963 p2

August 30, 2024
geometry3D geometryconcurrentmidpoint

Problem Statement

In space there are given four distinct points A A , B B , C C , D D . Prove that the three segments connecting the midpoints of the segments AB AB and CD CD , AC AC and BD BD , AD AD and BC BC have a common midpoint.
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