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locus
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(Definition)
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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.
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"locus" is owned 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 3692 times total.
Classification:
| AMS MSC: | 51N05 (Geometry :: Analytic and descriptive geometry :: Descriptive geometry) |
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Pending Errata and Addenda
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