The set of points in a geometric space that share a metric property.

Often-studied geometric loci are : the circle, the ellipse, the hyperbola, the parabola the angle bisector, the sphere, etc.

### Examples

- The circle is a geometric locus, as all the points
*P*of a circle are equidistant from its centre*O*.

- All points on the perpendicular bisector of a line segment are equidistant from the endpoints of the segment.
- Every point
*P*on the bisector \(d\) of an angle*ABC*is equidistant from the sides of the angle. This can be written as: \(d_{1}\) = \(d_{2}\).