 Imaginary point

In geometry, in the context of a real geometric space extended to (or embedded in) a complex projective space, an imaginary point is a point not contained in the embedded space.In terms of homogeneous coordinates, a point of the complex projective plane with coordinates ("a","b","c") in the complex projective space for which there exists no complex number "z" such that "za", "zb", and "zc" are all real.