Problem #PRU-56673

Problems Geometry Plane geometry Circles Tangent lines and tangent circles Tangent circles

Problem

Two circles $S_{1}$ and $S_{2}$ with centers $O_{1}$ and $O_{2}$ touch at the point $A$ . A straight line intersects $S_{1}$ at $A_{1}$ and $S_{2}$ at the point $A_{2}$ . Prove that $O_{1} A_{1} ∥ O_{2} A_{2}$ .

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