ConjugateDiameter Command

ConjugateDiameter( <Line>, <Conic> )

Returns the ([w:Conjugate diameters|conjugate diameter)] of the diameter that is parallel to the given line (relative to the conic section).

Example: ConjugateDiameter(-4x + 5y = -2, x^2 + 4 y^2 + 2x - 8y + 1 = 0) yields line 5x + 16y = 11

ConjugateDiameter( <Vector>, <Conic> )

Returns the ([w:Conjugate diameters|conjugate diameter)] of the diameter that is parallel to the given vector (relative to the conic section).

Example: Let u = (4,1) be a vector. Then ConjugateDiameter(u, x^2 + 4 y^2 + 2x - 8y + 1 = 0) yields line x + y = 0