2. Let [ be a simple closed curve around the origin in R, symmetric with respect...

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2. Let [ be a simple closed curve around the origin in R, symmetric with respect to the origin. Prove that there are six distinct points x for n=1,2,...,6, such that Xn+1-Xer for n=1,2,...,5, and x1-X6 . 2. Let [ be a simple closed curve around the origin in R, symmetric with respect to the origin. Prove that there are six distinct points x for n=1,2,...,6, such that Xn+1-Xer for n=1,2,...,5, and x1-X6 .