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[parent] locus (Definition)

Locus (from Latin locus `place, region') 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.




"locus" is owned by pahio.
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See Also: set-membership

Also defines:  locus, loci

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Attachments:
cissoid of Diocles (Definition) by pahio
conchoid of Nicomedes (Topic) by pahio
Cassini oval (Definition) by pahio
isocline (Definition) by pahio
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Cross-references: curves, perpendicular bisector, line segment, radius, centre, circle, fixed point, distance, fixed, plane, points
There are 37 references to this entry.

This is version 4 of locus, born on 2007-05-22, modified 2007-05-23.
Object id is 9436, canonical name is Locus.
Accessed 3688 times total.

Classification:
AMS MSC51N05 (Geometry :: Analytic and descriptive geometry :: Descriptive geometry)

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