Find equations for 4 circles each has 3 tangents ,equation of the tangents are :

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- Aug 27th 2009, 08:47 PMdhiab4 circles and 3 tangents
Find equations for 4 circles each has 3 tangents ,equation of the tangents are :

- Aug 28th 2009, 12:32 AMred_dog
The three tangents are:

Let be the center of one circle. Then

We get four systems:

Solving the systems we get the centers of the four circles. Then find their radius and equation.