Applied Physics and Mathematics Annotation << Back Geometrical interpretation of the principle gauge invariance Zhotikov V.G. We give the geometrical interpretation of the principle of gauge invariance. The geometrization of this principle result in the necessary to introduce ideas and methods of the projective differential geometry in physics. Consequences of such introduction are discussed. Our research provides significant insight over the origin the force of inertia in the Nature. Main physical phenomenon, such as the presence of stationary orbits of electrons in atoms, superconductivity and the others, have the united explanation. They are consequences of two fundamental physical principles: the principle of the least action and the principle of gauge invariance. Key words: gauge principle, gauge transformations, scale transformations, groups of transformations and their geometries, Lagrange functions, equations of motion. Contacts: E-mail: Zhotikov@yandex.ru Pp. 69-79.