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  1. 1 Acta Physica Polonica A

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  1. 1 2015

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  1. 1 Kaliman Z.

  2. 1 Orlić M.

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Analytical Derivation of the Fuss Relations for Bicentric Hendecagon and Dodecagon

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Orlić M., Kaliman Z.
Acta Physica Polonica A
|
2015
|
vol. 128
|
issue 2B
B-82-B-85
EN
In this article we present analytical derivation of the Fuss relations for n=11 (hendecagon) and n=12 (dodecagon). We base our derivation on the Poncelet closure theorem for bicentric polygons, which states that if a bicentric n-gon exists on two circles then every point on the outer circle is the vertex of same bicentric n-gon. We have used Wolfram Mathematica for the analytical computation. We verified results by comparison with earlier obtained results as well as by numerical calculations.
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