Locus

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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 $l$ 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.