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Fix Division Point Metric Space Circle Interval Fixed Point Arithmetic Locus Diameter Homothetic

1	Circle
1	Point
1	Metric Space
1	Interval
1	Division
1	Fix
2	Fixed Point Arithmetic
4	Locus
5	Diameter
14	Homothetic

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Apollonius Circle

Apollonius' circle. The locus of a point moving so that the ratio of its distances from two fixed points is fixed, is a circle.

If two circles and are fixed with radii and , then the circle of Apollonius of the two centers with ratio is the circle whose diameter is the segment that joins the two homothety centers of the circles.