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Proofs Without Words
without words The following demonstrate proofs of various identities and theorems using pictures, inspired from this gallery. Summations The sum of the first odd natural numbers is .
The following demonstrate proofs of various identities and theorems using pictures, inspired from this gallery. [ 6]( Cut-the-knot) COMING: The last proof of the Pythagorean Theorem we shall present on this page, this one by dissection. Back to Top^ MathOverflow^ Wolfram MathWorld^ Attributed to the Chinese text Zhou Bi Suan Jing.^ This is more of a proof without words of the AM-GM inequality; though the lengths of the segments labeled RMS and HM can easily be verified to have values of, respectively, it might not be obvious from the diagram.
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