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 distanceMathworldPlanetmath 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 segmentMathworldPlanetmath is the perpendicular bisectorMathworldPlanetmath of this line segment.

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

Title locus
Canonical name Locus
Date of creation 2013-03-22 17:07:52
Last modified on 2013-03-22 17:07:52
Owner pahio (2872)
Last modified by pahio (2872)
Numerical id 7
Author pahio (2872)
Entry type Definition
Classification msc 51N05
Related topic SetMembership
Defines locus
Defines loci