Given a circle S1, let S2 and S3 be two circles touching it externally at A and B respectively. And, let CD be the direct common tangent of S2 and S3.
Then,
[1] The point of intersection of AC and BD lies on S1.
[2] The tangent to S1 at this point is parallel to CD.
This is known as the Mickey Mouse Theorem! 🐁
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