# locus

Locus (from Latin locus ‘’) is a set of points satisfying a certain condition and such that no point outside the set satisfies this condition.

For example, in the plane the locus of such point that is at a fixed distance $r$ from a fixed point $O$ is the circle with centre $O$ and radius $r$; the locus of such point which is equidistant from both ends of a line segment is the perpendicular bisector of this line segment.

In general, the loci in the plane are geometric curves; thus one may speak of locus curves.

Title locus Locus 2013-03-22 17:07:52 2013-03-22 17:07:52 pahio (2872) pahio (2872) 7 pahio (2872) Definition msc 51N05 SetMembership locus loci