Pregled bibliografske jedinice broj: 794729
Analytical Derivation of the Fuss Relations for Bicentric Hendecagon and Dodecagon
Analytical Derivation of the Fuss Relations for Bicentric Hendecagon and Dodecagon // Acta Physica Polonica. A, 128 (2015), 2-B; B-82 doi:10.12693/APhysPolA.128.B-82 (međunarodna recenzija, članak, znanstveni)
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Naslov
Analytical Derivation of the Fuss Relations for Bicentric Hendecagon and Dodecagon
Autori
Orlić, Mandi ; Kaliman, Zoran
Izvornik
Acta Physica Polonica. A (0587-4246) 128
(2015), 2-B;
B-82
Vrsta, podvrsta i kategorija rada
Radovi u časopisima, članak, znanstveni
Ključne riječi
bicentric polygon; Fuss' relations
Sažetak
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.
Izvorni jezik
Engleski
Znanstvena područja
Matematika
Napomena
S.I.: International Conference on Computational and Experimental Science and Engineering (ICCESEN 2014).
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Citiraj ovu publikaciju:
Časopis indeksira:
- Current Contents Connect (CCC)
- Web of Science Core Collection (WoSCC)
- Science Citation Index Expanded (SCI-EXP)
- SCI-EXP, SSCI i/ili A&HCI
- Scopus
