The above polar equation describes conic sections, with l the semi-latus rectum and \ varepsilon the orbital eccentricity.
2.
The polar equation for a golden spiral is the same as for other logarithmic spirals, but with a special value of the growth factor:
3.
For example, all non-degenerate conic sections can be represented using a single polar equation with one parameter, the eccentricity of the curve:
4.
These are curves whose polar equations are similar to the polar equations of ordinary conics and the ordinary conics appear as special cases of these generalized conics.
5.
These are curves whose polar equations are similar to the polar equations of ordinary conics and the ordinary conics appear as special cases of these generalized conics.
6.
In addition to the standard two-dimensional polar equations, sequence plots, differential equation fields, and three-dimensional ( two independent variable ) functions.
7.
In this case there is also a simple polar equation for the polar equation if the origin is shifted to the right by " a ".
8.
In this case there is also a simple polar equation for the polar equation if the origin is shifted to the right by " a ".
9.
I'm testing a program I've written which ( among other things ) graphs polar equations where the angle is a function of the radius.
10.
Author of the following papers, amongst others; Method of deriving the Polar Equations of Dynamics & Hydrodynamics from direct physical considerations Dublin University Phil Transactions 1848.