  The mechanics of an oriented point (point with "spin") based on 3D and 4D
Frenet equations is considered. In such mechanics there is an opportunity to
describe formally any physical trajectory of a particle with own rotation. We
use anholonomic rotational coordinates (Euler angles) as elements of internal
space of the mechanics which generate a rotational relativity. The groups of
transformations of the mechanics of an oriented point form Poincare's group
with semidirect product of translations and rotations, so translational and
rotational momentums appear dependent from each other. Connection of the curve
torsion with Ricci rotational coefficients is shown and rotational metric is
entered. Equivalence between equations of motion 4D oriented point and geodesic
equations of absolute parallelism geometry is established. The space of events
an arbitrary accelerated 4D frame of reference, which has 10 degrees of
freedom, is described by Cartan structure equations of absolute parallelism
geometry. It represent 10D coordinate space in which 4 translational
coordinates describe motion of the origin $O$ 4D oriented point and 6 angular
coordinates describe change of its orientation. The structural equations of
absolute parallelism geometry, represent an extended set of Einstein-Yang-Mills
equations with the gauge translations group defined on the base $x^i$ and with
the gauge rotational group, defined in the fibre. The sources in these
equations are defined through the torsion (torsion field) of geometry. The
received system of the equations represents generalization vacuum Einstein's
equations on a case when sources have geometrical nature.
