# 1911 Encyclopædia Britannica/Serpentine (geometry)

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**SERPENTINE**, in geometry, a cubic curve described by Sir Isaac Newton, and given by the cartesian equation *y*(*a*^{2} + *x*^{2}) = *abx*. The origin is a point of inflection, the axis of *x* is an asymptote, and the curve lies between the parallel lines 2*y* = ±*b*.