Problems on Circles II: Halving a Set of Points

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You are given points () in the plane, no three on a line and no four on a circle. By using random points, this Demonstration shows that you can find a circle passing through three of them (in red) such that, of the remaining points, are in the interior (in yellow) and are in the exterior (in blue) of .

Contributed by: Jaime Rangel-Mondragon (March 2011)
Open content licensed under CC BY-NC-SA


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