Poinsot's spirals


Poinsot's spirals

In mathematics, Poinsot's spirals are two spirals represented by the polar equations:r=a,operatorname{csch}(n heta):r=a,operatorname{sech}(n heta)where csch is the hyperbolic cosecant, and sech is the hyperbolic secant.


Wikimedia Foundation. 2010.

Look at other dictionaries:

  • Newton's theorem of revolving orbits — Figure 1: An attractive force F(r) causes the blue planet to move on the cyan circle. The green planet moves three times faster and thus requires a stronger centripetal force, which is supplied by adding an attractive inverse cube force. The …   Wikipedia

  • Cotes's spiral — In physics and in the mathematics of plane curves, Cotes s spiral (also written Cotes spiral and Cotes spiral) is a spiral that is typically written in one of three forms where r and θ are the radius and azimuthal angle in a polar coordinate sy …   Wikipedia

  • Hyperbolic function — A ray through the origin intercepts the hyperbola in the point , where is twice the area between the ray and the …   Wikipedia

  • List of curves — This is a list of curves, by Wikipedia page. See also list of curve topics, list of surfaces, Riemann surface. Algebraic curves*Cubic plane curve *Quartic plane curve *Quintic plane curve *Sextic plane curveRational curves*Ampersand curve… …   Wikipedia

  • List of mathematics articles (P) — NOTOC P P = NP problem P adic analysis P adic number P adic order P compact group P group P² irreducible P Laplacian P matrix P rep P value P vector P y method Pacific Journal of Mathematics Package merge algorithm Packed storage matrix Packing… …   Wikipedia


We are using cookies for the best presentation of our site. Continuing to use this site, you agree with this.