Equidistant Set of Two Congruent Spheres and Its Orthogonal Projection on Rk
M. Cristian M. Carvajal, P. Ronald A. Manríquez, S. Héctor R. Lorca, C. José A. González
Journal of Advances in Mathematics and Computer Science · pp. 1–9 · Published 16 Jan 2016
10.9734/BJMCS/2016/23497Abstract
In this paper some properties of equidistant sets are presented,a relatively new concept. The equidistant concept is characterized and among two congruent spheres of ℝn. Afterwards the behavior of the orthogonal projection onto ℝk is studied, concluding that the projection of equidistant set of two congruent spheres, is a translation of the equidistant set of the spheres projections.
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