Archimedean spiral

An Archimedean spiral is a spiral with the polar equation

$$r=a{\theta }^{1/t},$$

where $a$ is a real, $r$ is the radial distance, $\theta$ is the angle, and $t$ is a constant.

The curvature of an Archimedean spiral is given by the formula

$$\frac{t{\theta }^{1-1/t}(t^2{\theta }^2+t+1)}{a{(t^2{\theta }^2+1)}^{3/2}}.$$

Title	Archimedean spiral
Canonical name	ArchimedeanSpiral
Date of creation	2013-03-22 14:05:55
Last modified on	2013-03-22 14:05:55
Owner	rspuzio (6075)
Last modified by	rspuzio (6075)
Numerical id	6
Author	rspuzio (6075)
Entry type	Definition
Classification	msc 14H45