  We present the results of the kinematic investigations carried out with the
use of spatial velocities of red giants and sub-giants containing in the
$Gaia$~EDR3 catalogue. The twelve kinematic parameters of the
Ogorodnikov--Milne model have been derived for stellar systems with radii 0.5
and 1.0 kpc, located along the direction the Galactic center -- the Sun -- the
Galactic anticenter within the range of Galactocentric distances $R$
0--8--16~kpc. By combining some of the local parameters the information related
to the Galaxy as a whole has been received in the distance range 4--12~kpc, in
particular the Galactic rotational curve, its slope, velocity gradients. We
show that when using this approach, there is an alternative possibility to
infer the behaviour of the Galactic rotational curve and its slope without
using the Galactocentric distance $R_\odot$. The kinematic parameters derived
within the Solar vicinity of 1~kpc radius are in good agreement with those
given in literature.
