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Euler brick : ウィキペディア英語版
Euler brick
In mathematics, an Euler brick, named after Leonhard Euler, is a cuboid whose edges and face diagonals all have integer lengths. A primitive Euler brick is an Euler brick whose edge lengths are relatively prime.
== Definition ==
The definition of an Euler brick in geometric terms is equivalent to a solution to the following system of Diophantine equations:
:\begin a^2 + b^2 = d^2\\ a^2 + c^2 = e^2\\ b^2 + c^2 = f^2\end
where ''a, b, c'' are the edges and ''d, e, f'' are the diagonals. Euler found at least two parametric solutions to the problem, but neither gives all solutions.

抄文引用元・出典: フリー百科事典『 ウィキペディア(Wikipedia)
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