Locus
Revision as of 01:58, 22 March 2011 by Math explorer (talk | contribs)
This article is a stub. Help us out by expanding it.
Locus is essentially a synonym for set. It is used most frequently in geometry, to denote a set of points satisfying a certain geometric condition.
Examples
- A circle can be defined as the locus of all points that are a certain distance from a given center.
- If we have a line and a point , a parabola is the locus of all points such that the distance from to .
- If we have two points A and B, an ellipse is the locus of all points such that is equal to a given constant.
- Given two points and and a constant , the locus of all points that satisfy is a circle (sometimes called an Apollonius circle).