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Maximal Isoptic Chords of Convex Curves
The American Mathematical Monthly, 2016AbstractIn this short note, we prove the following: for every convex body K in the plane of minimal width w, there exists a chord [x, y] with length larger than or equal to .w such that there are support lines of K through x and y which form an angle π/3. Moreover, if there is not such a chord with length exceeding w, then K is a Euclidean disc.
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