



 
Almost! You would have to be given the centers AND the radii of the three outer circles; even then there might be two circles that are tangent to the three outer circles, in which case you would not be able to determine which was the one you started with. Your problem reduces to the classical problem of Apollonius that deals with finding the circles tangent to three given circles: http://en.wikipedia.org/wiki/Problem_of_Apollonius In general there will be eight circles that are tangent to three given circles, but there will be either just one or two of them that could serve as your central circle. Chris  


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