  Mechanical systems of Cosserat--Zhilin are introduced as the main object of
Newtonian (non--relativistic) mechanics on the base of new notions of vector
calculus - sliders and screw measures (bi-measures). The differential equations
of motion are derived for different types of Cosserat--Zhilin systems in the
case where Stocks theorem is applicable. The paper defines multiplicative
groups which represent the measure of stress as a (well-defined) linear
isotropic map of {strain} tensor or tensor of {strain velocities} for classical
and polar continua in 2- and 3-dimensional cases.
