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Given a

So, how to find the coefficients of the new quadic equation?

EDIT: I think that F and G needs to satisfy

**quadric**equation (F(x,y) = 0), exist other**quadric**equation (G(x,y) = 0) such that the poinst of intersection between the graphics are ortogonals.So, how to find the coefficients of the new quadic equation?

EDIT: I think that F and G needs to satisfy

**∇**F •**∇**G = 0. So, if F is known, how discover G?
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