The elliptical paraboloid, is cut by the planes x + y = C, where C is an arbitrary constant. Find the family
of lines that form a conjugated net with these sections. A net of surface lines is said to be conjugated if at each point the tangential vectors the lines of different families of this net are conjugated.
Typographical error, the equation of the elliptical paraboloid here is: x^2/a + y^2/b = 2 z