%0 Journal Article
%T Analytical solution of the weighted Fermat-Torricelli problem for tetrahedra: The case of two pairs of equal weights
%A Anastasios N. Zachos
%J Mathematics
%D 2014
%I arXiv
%X The weighted Fermat-Torricelli problem for four non-collinear and non-coplanar points in the three dimensional Euclidean Space states that: Given four non-collinear and non-coplanar points A1, A2, A3, A4 and a positive real number (weight) Bi which correspond to each point Ai, for i = 1,2,3,4, find a fifth point such that the sum of the weighted distances to these four points is minimized. We present an analytical solution for the weighted Fermat-Torricelli problem for tetrahedra in the three dimensional Euclidean Space for the case of two pairs of equal weights.
%U http://arxiv.org/abs/1406.7779v1