SciELO - Scientific Electronic Library Online

 
vol.9 issue17Microstructural evolution of manganese austenitic steel submitted to thermal treatments of quenching and tempering author indexsubject indexarticles search
Home Pagealphabetic serial listing  

Services on Demand

Journal

Article

Indicators

Related links

  • On index processCited by Google
  • Have no similar articlesSimilars in SciELO
  • On index processSimilars in Google

Share


Revista Ingenierías Universidad de Medellín

Print version ISSN 1692-3324On-line version ISSN 2248-4094

Abstract

SOLANILLA CH., Leonardo; PALACIO M., Óscar Jhoan  and  HERNANDEZ R., Uriel. Abel's theorem on the lemniscate. Rev. ing. univ. Medellín [online]. 2010, vol.9, n.17, pp.207-213. ISSN 1692-3324.

In this article, Abel's theorem for lemniscates has been demonstrated without the help of elliptical function theory and without any reference to the modern theory of fields. Essential ingredients of the demonstration are Gauss' lemniscates functions and some elementary on factorization in the ring of rational coefficients. The procedure is very powerful. It was proved that geometric construction is possible. Algebraic operations which indicated the construction were also indicated.

Keywords : Lemniscates division; elliptical functions; geometrical constructions; Abel's theorem; Galois' theorem.

        · abstract in Spanish     · text in Spanish     · Spanish ( pdf )

 

Creative Commons License All the contents of this journal, except where otherwise noted, is licensed under a Creative Commons Attribution License