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markwood
The tangent circle theorem states that when a circle is tangent to another circle or a line, the point of tangency has unique geometric properties. Specifically, the radius at the point of tangency is perpendicular to the tangent line, and if two circles are tangent, the line connecting their centers passes through the point of tangency. This theorem is crucial in solving complex geometry problems, including constructions, proofs, and optimization tasks in mathematics.

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