Cyclic polygons are critical points of area
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- Panina, G. & Khimshiashvili, G. J Math Sci (2009) 158: 899. doi:10.1007/s10958-009-9417-z
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It is shown that typical critical points of the signed area function on the moduli space of a generic planar polygon are given by cyclic configurations, i.e., configurations that can be inscribed in a circle. Several related problems are briefly discussed in conclusion. Bibliography: 14 titles.