Milorad R. Stevanovic, Predrag B. Petrovic, and Marina M. Stevanovic,
Radii of circles in Apollonius' problem,
Forum Geometricorum, 17 (2017) 359--372.


Abstract. The paper presents the relation for radii of the eight circles in Apollonius' problem for circles which are tangent to three given circles. Analogously, we derived the relations for radii of the 16 spheres which are tangent to four given spheres, with coordinates of their centers and with their radii.

[ps file] [pdf]


Return to Forum Geom., 17 (2017) Table of Contents