A CIRCLE TANGENT MEDLEY

摘要

One of the classic problems in ancient geometry is: given three circles A, B,and C that are pairwise tangent, find two more circles each tangent to circles A, B, and C. These two circles came to be known as Soddy Circles. This problem sounded to me like a great one to solve using GeoGebra or any other construction package and a computer algebra system. What follows is a solution.