# Geometric Locus

## Geometric Locus

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: $$d_{1}$$ = $$d_{2}$$.