Recent content by Edgar53

The square root of any number x has two solutions: -sqrt(x) and +sqrt(x). This holds even for negative numbers, where the solutions are in the complex number plane: -i sqrt(x) and +i sqrt(x). Therein, i equals the square root of -1. As a general law, the n-th root of a number x has n solutions...

Of course, it has much to do: Leonhard Euler's four-squares identity prefigures quaternion multiplication: It is the very reason why quaternions have a multiplicative norm, i.e. the length of a product of two quaternions equals the product of the lengths of the quaternions...

The 4-Squares-Identity of Leonhard Euler (https://en.wikipedia.org/wiki/Euler%27s_four-square_identity) : has the numeric structure of Maxwell’s equations in 4-space: Is somebody aware of litterature about this?