Locus (mathematics)

set of points whose location satisfies or is determined by one or more specified conditions

In geometry, a locus (plural: loci) is one of a set of points which satisfies one or more conditions.[1][2] The usual results are a curve or a surface.[3] For example, all points in a plane an equal distance from a center point result in a circle.[3]

locus of a circle, ellipses and hyperbolas

References

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  1. James, Robert Clarke; James, Glenn (1992), Mathematics Dictionary, Springer, p. 255, ISBN 978-0-412-99041-0
  2. Whitehead, Alfred North (1911), An Introduction to Mathematics, H. Holt, p. 121, ISBN 978-1-103-19784-2
  3. 3.0 3.1 "Definition of Locus". MathsIsFun.com. Retrieved 17 July 2015.