  It is shown that the Monge equation is equivalent to the ordinary
differential equation $\ddot X=0$ of free motion. Equations of Monge type (with
their general solutions) are connected with each ordinary differential equation
of second order $\ddot X=F(\dot X,X; t)$, integrable by quadratures. The result
is generalised to a system of equations of the second order, which is in one to
one correspondence with the multidimensional Monge-Bateman system.
