2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/135115Note 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.Corrected a typoGeneral MathematicsA parameterization of the Fermat curves satisfying x^(2N)+y^(2N)=1text