Difference between revisions of "Locus"

Revision as of 12:18, 12 July 2006

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Locus is essentially a synonym for set. It is used most frequently in geometry.

Circle:

A circle is the locus of all points a certain distance from a given center.

Parabola:

If we have a line $l$ and a point $P$ , a parabola is the locus of all points $S$ such that $SP=$ the distance from $S$ to $l$ .

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 '''Locus''' is essentially a synonym for [[set]].  It is used most frequently in [[geometry]].
+== Examples ==
+'''Circle:'''
+A [[circle]] is the '''locus''' of all points a certain distance from a given center.
+'''Parabola:'''
+If we have a line <math>l</math> and a point <math>P</math>, a [[parabola]] is the '''locus''' of all points <math>S</math> such that <math>SP=</math> the distance from <math>S</math> to <math>l</math>.