Difference between revisions of "Locus"

Revision as of 19:41, 27 January 2010

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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 $l$ .

Ellipse

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

@@ Line 10: / Line 10: @@
 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>.
+'''Ellipse'''
+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]]