Galilean ideas in the course of Euclidian differential geometry

The article is devoted to using the ideas of Galilean geometry in differential Euclidean geometry. Galolean curvature and Galilean torsion of Euclidean curve, Galilean quadratic forms of Euclidean surface are presented. These concepts allow finding Euclidean curve on Galilean natural equations and Euclidean surface on coefficients of its Galilean quadratic forms. The methods for solving systems of differential equations, both ordinary and with partial differential coefficients, allowing finding curves and surfaces on the set functions of curvature and coefficients of quadratic forms are devepoled.