page_title: Serpentine shape
section_title: In mathematics
hierarchical_section_title: Serpentine shape / In mathematics
caption_attribution_description: English: Cartesian x-y graph showing Newton's "serpentine" with the x-axis as asymptote.
context_page_description: A serpentine shape is any of certain curved shapes of an object or design, which are suggestive of the shape of a snake. Serpentine shapes occur in architecture, in furniture, and in mathematics.
context_section_description: The serpentine curve is a cubic curve as described by Isaac Newton, given by the cartesian equation y(a² + x²) = abx.
  The origin is a point of inflection, the axis of x being an asymptote and the curve lies between the parallel lines 2y = ±b.
caption: The serpentine curve.
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