Online Geometry Education

Geometry Problem 315: Three tangent circles, Common external tangent line, Geometric Mean

The figure shows circles A (radius a), B (radius b), and C (radius c) tangent to both sides of an angle D. Circles A and B are tangent at the point E, and circles B and C are tangent at the point F. Prove that b is the geometric mean of a and c. View or post a solution.
 

Tangent Circles inscribed in an angle
 


Poster and Typography of Problem 315

Poster and Typography of problem 315

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