MathDB
Putnam 1977 B4

Source:

April 7, 2022
college contests

Problem Statement

Let CC be a continuous closed curve in the plane which does not cross itself and let QQ be a point inside CC. Show that there exists points P1P_1 and P2P_2 on CC such that QQ is the midpoint of the line segment P1P2.P_1P_2.
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