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:<math>X=\lambda \frac{\partial f}{\partial x}(p, q, r),\,Y=\lambda \frac{\partial f}{\partial y}(p, q, r),\,Z=\lambda \frac{\partial f}{\partial z}(p, q, r).</math>
Eliminating ''p'', ''q'', ''r'', and λ from these equations, along with
For example, let ''C'' be the [[Conic section|conic]] ''ax''<sup>2</sup>+''by''<sup>2</sup>+''cz''<sup>2</sup>=0. Then dual is found by eliminating ''p'', ''q'', ''r'', and λ from the equations
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