Talk:Problem of Apollonius: Difference between revisions
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In general there are eight solutions to this problem. [http://en.wikipedia.org/wiki/File:Apollonius8ColorMultiplyV2.svg see] for a picture showing the eight solutions for a configuration similar to the one depicted in the task description.
Circles are of course
If we say that two cycles touch only if their directions are the same at this point then if we replace the three circles with three cycles then the problem has a unique cycle as a solution. Of course there are eight ways to replace the three circles with three cycles each of the eight solutions (converted to a cycle) in the picture will solve one of these arrangements.
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