Did the ball touch the line? Tennis hawk eye (in-out) vs Euclidean geometry (tangent to a circle)

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In Euclidean geometry, point and line are primitive notions (not defined in terms of previously defined concepts). In Euclidean geometry, a straight line has no width. In Euclidean geometry, a point has no length, width, or thickness. A tangent line to a circle touches the circle at exactly one point.

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