MathDB
Putnam 1961 A7

Source: Putnam 1961

June 5, 2022
PutnamtopologySubsetscollege contests

Problem Statement

Let SS be a nonempty closed set in the euclidean plane for which there is a closed disk DD containing SS such that DD is a subset of every closed disk that contains SS. Prove that every point inside DD is the midpoint of a segment joining two points of S.S.
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