User:Blackbombchu/Sandbox/Definition:Origin Rotation

R2
In R2, an origin rotation is a function T from R2 to R2 such that there exists real numbers a, b such that:
 * For all ordered pairs (x, y) ∈ R, T(x, y) = (ax - by, ay + bx)
 * The distance of (a, b) is 1.