Conjugated line

Conjugated line

The conjugated line of a straight line is the line that one becomes by taking the complex conjugate of each point on this line. One can prove that this is the same as taking the complex conjugates of the coefficients of this line.

So if the equation of D is D : ax + by + cz = 0, then the equation of its conjugate D* is D* : a*x + b*y + c*z = 0.

The conjugate of a real line is the line itself. The intersection point of two conjugated lines is always real.


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