Locus

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A Locus is a collection of points that share a property. Often a figure or curve in the plane (or other space) will be defined as a locus. For example, the circle is the collection of points at a given distance (the radius) from a given point (the centre of the circle). Similarly, an ellipse can be defined as the collection of points whose sum of distances to the foci $F_0$ and $F_1$ is constant.

Similarly the parabola and hyperbola can each be described as a locus.


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