Question: This is Differential Geometry explain and solve make sure the answer is correct L LIRS . 14. (a special case of a recent American Mathematical

This is Differential Geometry explain and solve make sure the answer is correct

L LIRS . 14. (a special case of a recent American Mathematical Monthly problem) Suppose a:[a.h] R? is a smooth parametrized plane curve (perhaps not arclength-parametrized). Prove that if the chord length [lee(s) ee(r)|| depends only on |s 7|, then must be a (subset of) a line or a circle. (How many derivatives of & do you need to use?)

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