%0 Journal Article
%T K-deformed conic sections
%A H¨¦ctor Rom¨¢n Quiceno Echavarr¨ªa
%A Juan Carlos Arango Parra
%A Osiris Plata Lobo
%J -
%D 2016
%R https://doi.org/10.17230/ingciencia.12.24.1
%X In this paper we study the effects of the K-deformed sum, defined as on the Euclidean distance function d(P, F1) + d(P, F2) = 2a, where P is an arbitrary point in R2 ; F1 and F2 are the focus of the curve named Ellipse. The points satisfying the resulting equality d(P, F1) d(P, F2) = 2a, describe a curve named K-deformed ellipse for which the resulting analityc expression is analogue to the standard one. We make a deep study of the vertex, local extrema, asymptotes, the latus rectum and the graph of the resulting K-deformed conic ections: Ellipse, hyperbola, circumference and par¨¢bola in the K-deformed setting. We also make a study of the area of the regions limited by the -deformed ellipse and hyperbola for an arbitrary value of K
%K K-deformed sum and difference
%K K-deformed ellipse
%K K-deformed circle
%K K-deformed parabola
%K K-deformed hyperbola
%U http://publicaciones.eafit.edu.co/index.php/ingciencia/article/view/3536