1911 Encyclopædia Britannica/Serpentine (geometry)
|←Serpentarius||1911 Encyclopædia Britannica, Volume 24
|See also Serpentine shape on Wikipedia, and our 1911 Encyclopædia Britannica disclaimer.|
SERPENTINE, in geometry, a cubic curve described by Sir Isaac Newton, and given by the cartesian equation y(a2 + x2) = abx. The origin is a point of inflection, the axis of x is an asymptote, and the curve lies between the parallel lines 2y = ±b.