A note and a short survey on supporting lines of compact convex sets in the plane
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🧮 math.CO
math.MG
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compactconvexlinesplanesetssupportingcontinuouslyelementary
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After surveying some known properties of compact convex sets in the plane, we give a two rigorous proofs of the general feeling that supporting lines can be slide-turned slowly and continuously. Targeting a wide readership, our treatment is elementary on purpose.
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