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One Pythagoras for all dimensions. (English)
Math. Intell. 36, No. 1, 53 (2014).
The Pythagorean theorem can be restated in the following way: the sum of the squares over the sides of a rectangle is equal to the sum of the squares over the diagonals. This point of view allows the author to give an $n$-dimensional generalization of the Pythagorean theorem in the following way: the sum of the squares over the edges of any $n$-dimensional box is equal to the sum of the squares over its diagonals. The elementary proof is of combinatorial character.
Reviewer: Antonio M. Oller (Zaragoza)
Classification: G45
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