how to solve apollonius problem( $CCC$ case) with compass and straight edge

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Given three circles, how to construct another circle that is tangent to the three circles with compass and straight edge?

Well, this problem can be reduced to ($\rm\color{purple } {PCC} $ case) by shrinking the smallest circle into a point. But I also don't know how to solve ($PCC$ case). The problem has $8$ solutions in general. Any hint? enter image description here