Locus
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).