  The generalized Euler case (rigid body rotation over the fixed point) is
discussed here: - the center of masses of non-symmetric rigid body is assumed
to be located at the equatorial plane on axis Oy which is perpendicular to the
main principal axis Ox of inertia at the fixed point. Such a case was presented
in the rotating coordinate system, in a frame of reference fixed in the
rotating body for the case of rotation over the fixed point (at given initial
conditions). In our derivation, we have represented the generalized Euler case
in the fixed Cartesian coordinate system; so, the motivation of our ansatz is
to elegantly transform the proper components of the previously presented
solution from one (rotating) coordinate system to another (fixed) Cartesian
coordinates. Besides, we have obtained an elegantly analytical case of general
type of rotations; also, we have presented it in the fixed Cartesian coordinate
system via Euler angles.
