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Computations of the Area and Radius of Cyclic Polygons Given by the Lengths of Sides

  • Pavel Pech
Part of the Lecture Notes in Computer Science book series (LNCS, volume 3763)

Abstract

Some properties of inscribed polygons, i.e., such plane polygons whose vertices lie on a circle, are investigated. Given an inscribed polygon with the lengths of its sides, we explore the area and radius of its circumcircle. We start with a triangle and a quadrangle and then we will explore the case of a pentagon. All the computations are based on results of commutative algebra especially on Gröbner bases method and elimination of variables in a given ideal.

Keywords

Theorem Prove Convex Case Elementary Symmetric Function Coordinate Method Geometry Theorem 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Springer-Verlag Berlin Heidelberg 2006

Authors and Affiliations

  • Pavel Pech
    • 1
  1. 1.University of South BohemiaBudějoviceCzech Republic

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