Vipul: Created page with "==Definition== Consider a Euclidean plane and a point $p$ in the plane. The '''family of concentric circles''' centered at $p$ is the family of all the..."

2011-07-29T23:06:45Z

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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==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 circles centered at <math>p</math>, along with the degenerate case of the radius zero circle, which is the point circle <math>p</math>.

This family yields a partition of the Euclidean plane into subsets, one of which is a point and the rest are nontrivial circles.

[[File:Concentriccircles.png|800px]]

Family of concentric circles - Revision history

Vipul: Created page with "==Definition== Consider a Euclidean plane and a point p in the plane. The '''family of concentric circles''' centered at p is the family of all the..."

Vipul: Created page with "==Definition== Consider a Euclidean plane and a point $p$ in the plane. The '''family of concentric circles''' centered at $p$ is the family of all the..."