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Part of 1953 Miklós Schweitzer

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Miklós Schweitzer 1953- Problem 4

Source: Miklós Schweitzer 1953- Problem 4

8/1/2015
4. Show that every closed curve c of length less than 2π 2\pi on the surface of the unit sphere lies entirely on the surface of some hemisphere of the unit sphere. (G. 8)
geometrycollege contestsreal analysisMiklos Schweitzer