Three Points Determine a Circle
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Three noncollinear points determine a circle. In this Demonstration, you can drag up to ten points that determine all the circles that pass through any subset of three points. Use 
to add or remove locators.
Contributed by: Ed Pegg Jr (March 2011)
Open content licensed under CC BY-NC-SA
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"Three Points Determine a Circle"
http://demonstrations.wolfram.com/ThreePointsDetermineACircle/
Wolfram Demonstrations Project
Published: March 7 2011
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