4792801911 Encyclopædia Britannica, Volume 24 — *Serpentine (geometry)*

**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*.