Linear surface of equi-affine transformations
Linear surfaces of congruence of parabolic rotation which sections are Equiaffine figure (the secant plane is parallel to the plane xOy) are described. The coefficients of quadratic forms of surfaces are determined. A special case of the surface is considered which is obtained by immersion of a circle in a parabolic congruence. The relationships of equi-affine transformation of a circle and the location of the secant plane are determined.