Solutions Constructions of a Generalized Sylvester Problem and a Generalized Fermat-Torricelli Problem for Euclidean Balls

Nguyen Mau Nam, Nguyen Hoang, Nguyen Thai An

The classical Apollonius' problem is to construct circles that are tangent to three given circles in a plane. This problem was posed by Apollonius of Perga in his work "Tangencies"…