Poinsot's spirals

From Wikipedia, the free encyclopedia
Jump to navigation Jump to search

In mathematics, Poinsot's spirals are two spirals represented by the polar equations

where csch is the hyperbolic cosecant, and sech is the hyperbolic secant.[1] They are named after the French mathematician Louis Poinsot.

Examples of the two types of Poinsot's spirals[edit]

The Poinsot spiral r=csch(θ/3).
The Poinsot spiral r=sech(θ/3).

See also[edit]

References[edit]

  1. ^ Lawrence, J. Dennis (1972). A Catalog of Special Plane Curves. New York: Dover. pp. 192–194. ISBN 0486602885.