Encyclopedia > Hyperbolic spiral

  Article Content

Hyperbolic spiral

A hyperbolic spiral is a transcendental plane curve[?] also known as a reciprocal spiral. It has the polar equation = a, and is the inverse to the Archimedean spiral.

Hyperbolic spiral, for a=2.

It begins at an infinite distance from the pole in the centre, it winds faster and faster around as it approaches the pole, the distance from any point to the pole, following the curve, is infinite. The following is a parametric representation in Euclidean coordinates[?]:

x = a/t cos t
y = a/t sin t
where t is a parameter. It has an asymptote at y = a.



All Wikipedia text is available under the terms of the GNU Free Documentation License

 
  Search Encyclopedia

Search over one million articles, find something about almost anything!
 
 
  
  Featured Article
242

... century - 3rd century - 4th century Decades: 190s 200s 210s 220s 230s - 240s - 250s 260s 270s 280s 290s Years: 237 238 239 240 241 - 242 - 243 244 245 246 ...

 
 
 
This page was created in 45.8 ms