# serpentine (curve)

The serpentine is a curve named and studied by Isaac Newton in 1701 and contained in his classification of cubic curves. It had been studied earlier by de L'Hopital and Christiaan Huygens in 1692.

The curve serpentine given by the Cartesian equation

*y*(*x*) = *abx*/(*x*^{2} + *a*^{2})