Geodesic
The Weighted Fermat-Torricelli Problem and an "Inverse" Problem
Journal of convex analysis, Tome 15 (2008) no. 1, pp. 55-62.

Voir la notice de l'article provenant de la source Heldermann Verlag

We study the weighted Fermat-Torricelli point of spherical, hyperbolic and plane triangles and an inverse weighted Fermat-Torricelli problem. We show that a fundamental application of the inverse weighted Fermat-Torricelli problem is the invariance property of the weighted Fermat-Torricelli point.
Classification : 51E10, 52A55
Mots-clés : Fermat-Torricelli point, inverse Fermat-Torricelli problem 
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     author = {A. N. Zachos and G. Zouzoulas},
     title = {The {Weighted} {Fermat-Torricelli} {Problem} and an {"Inverse"} {Problem}},
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A. N. Zachos; G. Zouzoulas. The Weighted Fermat-Torricelli Problem and an "Inverse" Problem. Journal of convex analysis, Tome 15 (2008) no. 1, pp. 55-62. http://geodesic.mathdoc.fr/item/JCA_2008_15_1_JCA_2008_15_1_a3/