polar curve

Polar curvesMathworldPlanetmath are plane curvesMathworldPlanetmath in 2 that are expressed in polar coordinatesMathworldPlanetmath (r,θ). The two simplest polar curves are obtained when one of the two coordinates is set to be a constant. If the first coordinate is set to a constant r, we have a circle with radius |r|, or a point when r=0. When the second coordinate is the constant instead, say c, we have a straight line through the (polar) origin, with slope = tanc.

Using polar coordinates, one can generate many visually pleasing curves. Below are some of the most popular ones.

Title polar curve
Canonical name PolarCurve
Date of creation 2013-03-22 15:17:08
Last modified on 2013-03-22 15:17:08
Owner CWoo (3771)
Last modified by CWoo (3771)
Numerical id 6
Author CWoo (3771)
Entry type Example
Classification msc 53A04
Classification msc 51-01
Synonym limaçon
Related topic AreaOfPlaneRegion
Related topic CassiniOval
Defines lemniscate
Defines rhodonea
Defines cardioid
Defines limacon