# Loci

Source: https://projectgcse.co.uk/maths/shape_space/loci

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The locus means the area or line which satisfies a condition. Below are several examples:

![](https://content.projectgcse.co.uk/img/maths/locus1.gif)

The points which are x away from point A.
The locus is a circle around point A with a radius of x.

![](https://content.projectgcse.co.uk/img/maths/locus2.gif)

All the points which are y from rectangle B.
This gives a locus which is y from the straight edges of the rectangle but has a quarter of a circle at the vertices which join the straight lines.

![](https://content.projectgcse.co.uk/img/maths/locus3.gif)

All the points w from the line along cd.
This locus is two lines. One above and one below the line cd. Both are parallel to cd.

![](https://content.projectgcse.co.uk/img/maths/locus4.gif)

The points which are equidistant from the points M and N.
This locus is the perpendicular bisector of the line MN.