= Special cases of Apollonius' problem
{wiki=Special_cases_of_Apollonius'_problem}
Apollonius' problem involves finding a circle that is tangent to three given circles in a plane. This classic problem in geometry has several special cases depending on the configurations of the given circles. Here are some notable special cases: 1. **Tangency to Three Disjoint Circles**: If the three circles do not overlap and are positioned such that they are completely separated, there can be up to eight distinct circles that are tangent to all three given circles.
Back to article page