In this paper, we introduce a new solution of the Euler's dynamic equations for the rotational motion of a rigid body
about a fixed point under the action of a Newtonian force field. The components of the angular velocity vector for this solution are
differing from the most famous cases. We assumed that the center of mass of the rigid body coincides with the fixed point and a
restriction on an initial condition is applied. The obtained solution is represented graphically using most recent computer codes to
describe the motion at any time and is considered as a modification of Euler's case.