Euler Four-Square Identity -- from Wolfram MathWorld
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Descrição
The amazing polynomial identity communicated by Euler in a letter to Goldbach on April 12, 1749 (incorrectly given as April 15, 1705--before Euler was born--in Conway and Guy 1996, p. 232). The identity also follows from the fact that the norm of the product of two quaternions is the product of the norms (Conway and Guy 1996).

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Lagrange's Four-Square Theorem -- from Wolfram MathWorld
Algebraic Identity -- from Wolfram MathWorld

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