Journal of Mathematical Sciences

, Volume 158, Issue 6, pp 899–903

Cyclic polygons are critical points of area


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.


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Copyright information

© Springer Science+Business Media, Inc. 2009

Authors and Affiliations

  1. 1.Institute for Informatics and AutomationSt. PetersburgRussia
  2. 2.Ilia Chavchavadze State UniversityTbilisiGeorgia

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