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Velocipede V

Two circles, a common tangent and several line segments. Prove that the red line segments are parallel.

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Solution

One can draw a parabola though the circle centres as shown with apex in the midpoint, focus F in the intersection and the common tangent as directrix. Now use Lopsided to show that the red line segments are parallel.

More solutions: https://x.com/Mirangu1/status/1935300513790415335

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