Considered geometrically exact projective algorithms for constructing curves of the second order defined a mixed set of real and imaginary elements. Imaginary point and the imaginary straight are shown with markers and stamps. Proven homeomorphism chetyrehtsiklicheskoy sets of markers and stamps many imaginary points and imaginary lines in the complex plane. The examples of solving geo-metric tasks involving imaginary points and imaginary lines.
Keywords:Geometrically exact algorithm, the imaginary point, imaginary video, the elliptic involution.