Analytical Derivation of the Fuss Relations for Bicentric Hendecagon and Dodecagon (CROSBI ID 224030)
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Orlić, Mandi ; Kaliman, Zoran
engleski
Analytical Derivation of the Fuss Relations for Bicentric Hendecagon and Dodecagon
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.
bicentric polygon; Fuss' relations
S.I.: International Conference on Computational and Experimental Science and Engineering (ICCESEN 2014).
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