Talk:History of Topics in Special Relativity/Lorentz transformation (Quaternions)
Latest comment: 3 years ago by 178.165.160.154
section: Euler (1771) – Quaternion rotation parameter
I have no access to Euler's original paper, so I don't know whether the following errors are typing errors in reproducing the reference.
In order to make the given equations work following changes are needed:
A. Regarding "The orthogonal transformation in four dimensions was given by him as"
B. Regarding "and he gave a representation of the sixteen coefficients using eight parameters a,b,c,d,p,q,r,s"
Note: Alternatively the scalar may be translated into additional requirements for the eight parameters, e.g.:
which reduces the eight parameters to six independent parameters.