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Varignon’s theorem proved in one line with vectors

Today I was reading some math book when the author mentions Varignon’s theorem, and gives a proof. The proof was not very long, but it was somewhat confusing. On Wikipedia, several more short proofs...

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Minimum quadrilateral inscribed in a square

A problem that I’ve seen lately reduces to the following problem: We have a square, and we put a point on each side of the square. Then we connect the four points to create a quadrilateral. How can we...

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