Difference between revisions of "Locus"

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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>.
 
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>.
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'''Ellipse'''
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If we have two points A and B, a [[ellipse]] is the '''locus''' of all points <math>S</math> such that <math>SA+SB</math> remains constant.
  
 
[[Category:Geometry]]
 
[[Category:Geometry]]

Revision as of 19:41, 27 January 2010

This article is a stub. Help us out by expanding it.

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

Ellipse

If we have two points A and B, a ellipse is the locus of all points $S$ such that $SA+SB$ remains constant.

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