Analytical Derivation of the Fuss Relations for Bicentric Hendecagon and Dodecagon -- from Wolfram Library Archive

Title

Analytical Derivation of the Fuss Relations for Bicentric Hendecagon and Dodecagon

Authors

M. Orlic

Z. Kaliman

Journal / Anthology

ACTA PHYSICA POLONICA A

Year:

2015

Volume:

128

Issue:

Page range:

B82-B85

Description

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.

Subject

Science > Physics

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