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.
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Pech, P. (2006). Computations of the Area and Radius of Cyclic Polygons Given by the Lengths of Sides. In: Hong, H., Wang, D. (eds) Automated Deduction in Geometry. ADG 2004. Lecture Notes in Computer Science(), vol 3763. Springer, Berlin, Heidelberg. https://doi.org/10.1007/11615798_4
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DOI: https://doi.org/10.1007/11615798_4
Publisher Name: Springer, Berlin, Heidelberg
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