Hippopede
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A hippopede (meaning "horse fetter" in ancient Greek) is a plane curve obeying the equation in polar coordinates
or in Cartesian coordinates
The hippopede is a spiric section in which the intersecting plane is tangent to the interior of the torus. It was investigated by Proclus, Eudoxus and, more recently, J. Booth (1810-1878). For b = 2a, the hippopede corresponds to the lemniscate of Bernoulli.
[edit] References
- Lawrence JD. (1972) Catalog of Special Plane Curves, Dover.
- Booth J. A Treatise on Some New Geometrical Methods, Longmans, Green, Reader, and Dyer, London, Vol. I (1873) and Vol. II (1877).