About: Real point

In geometry, a real point is a point in the complex projective plane with homogeneous coordinates (x,y,z) for which there exists a nonzero complex number λ such that λx, λy, and λz are all real numbers. This definition can be widened to a complex projective space of arbitrary finite dimension as follows: are the homogeneous coordinates of a real point if there exists a nonzero complex number λ such that the coordinates of are all real. A point which is not real is called an imaginary point.