ABOUT EXISTENCE OF QUASIDOUBLE LINES OF A PAIR IN EUCLIDEAN SPASE Е<sub>5</sub>
In domain it is considered a set of smooth lines such that through a point passed one line of given set. The moving frame is frame of Frenet for the line of the given set. Integral lines of the vector fields are formed net of Frenet. There is exists a point on the tangent of the line. When the point X is shifted in the domain, the point describes it’s domain in It is defined the partial mapping such that Necessary and sufficient conditions in order that a line belonging to the three dimensional distribution is quasidouble line of the pair are proved.