Imaginary line (mathematics)
In complex geometry, an imaginary line is a straight line that only contains one real point. It can be proven that this point is the intersection point with the conjugated line.
It is a special case of an imaginary curve.
An imaginary line is found in the complex projective plane P2 where points are represented by three homogeneous coordinates
Boyd Patterson described the lines in this plane:
Felix Klein described imaginary geometrical structures: "We will characterize a geometric structure as imaginary if its coordinates are not all real.:
According to Hatton:
Hatton continues,
