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Michael
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Prove that one can always find 4 points on a smooth non-self-intersecting closed planar curve that are vertices of a rectangle.


Here's a very nice video with a solution.

Prove that one can always find 4 points on a smooth non-self-intersecting closed planar curve that are vertices of a rectangle.

Prove that one can always find 4 points on a smooth non-self-intersecting closed planar curve that are vertices of a rectangle.


Here's a very nice video with a solution.

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Michael
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Prove that one can always find 4 points on a smooth non-self-intersecting closed planar curve that are vertices of a rectangle.

Prove that one can always find 4 points on a smooth closed planar curve that are vertices of a rectangle.

Prove that one can always find 4 points on a smooth non-self-intersecting closed planar curve that are vertices of a rectangle.

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Michael
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Prove that one can always find 4 points on a smooth closed planar curve that are vertices of a rectangle.

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