The groups of Puankare transformations appeared while developing relativity and became the main groups of these invariant theories. Subsequently it was put in terms that they were mostly classical mathematical physical differential equations of the groups of invariant. There were developed various groups of differential equations having invariant groups, methods of integration. Differential equations became the investigation of specialists’ differential geometry investigation. Geometers developed the circle of investigation, proposing the directions of new investigation- differential equations internal differentials- construction of geometrical objects. The principle of constructive objects became various internal connections of differential equations. These connections were looked up applying a well known classical method- expressing connections through the given differential equations from the coefficient of their differential continuation. R. Vosylius in his work was suggested a new method of construction of differential equations of systems’ internal connections, which allowed to construct these connections, knowing only the given equations of symmetrical groups Lie algebraical exemplar in the analyzed space. That allowed relating the task of differential equations internal connections with the proposition of their transformations Lie groups discovery proposition, which became the classical one. Moreover, this method allows constructing connections with the groups of... [to full text]