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A parameterization of the Fermat curves satisfying x^(2N)+y^(2N)=1

Authors
  • Soileau, Kerry M.
Type
Preprint
Publication Date
Jul 29, 2007
Submission Date
Jul 20, 2007
Source
arXiv
License
Unknown
External links

Abstract

Note that the family of closed curves C_N={(x,y)\in R^2;x^(2N)+y^(2N)=1} for N=1,2,3,... approaches the boundary of [-1,1]^2 as N \to \infty. In this paper we exhibit a natural parameterization of these curves and generalize to a larger class of equations.

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