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Analytical Derivation of the Fuss Relations for Bicentric Hendecagon and Dodecagon (CROSBI ID 224030)

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Orlić, Mandi ; Kaliman, Zoran Analytical Derivation of the Fuss Relations for Bicentric Hendecagon and Dodecagon // Acta Physica Polonica. A, 128 (2015), 2-B; B-82-B-85. doi: 10.12693/APhysPolA.128.B-82

Podaci o odgovornosti

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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Podaci o izdanju

128 (2-B)

2015.

B-82-B-85

objavljeno

0587-4246

10.12693/APhysPolA.128.B-82

Povezanost rada

Matematika

Poveznice
Indeksiranost