Linear surface of equi-affine transformations
Abstract
Linear surface of equi-affine transformations
Incoming article date: 11.11.2015Linear 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.
Keywords: linear surface, a congruence of parabolic rotation, Equi-affine transformation,quadratic form, invariant, parametric equations