Difference between revisions of "Family of concentric circles"
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(Created page with "==Definition== Consider a Euclidean plane and a point <math>p</math> in the plane. The '''family of concentric circles''' centered at <math>p</math> is the family of all the...") 
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Latest revision as of 23:06, 29 July 2011
Definition
Consider a Euclidean plane and a point in the plane. The family of concentric circles centered at is the family of all the circles centered at , along with the degenerate case of the radius zero circle, which is the point circle .
This family yields a partition of the Euclidean plane into subsets, one of which is a point and the rest are nontrivial circles.