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.


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

Lieu géométrique

  • 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: \(d_{1}\) = \(d_{2}\).

Lieu géométrique-C

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