Square Passing through Four Points
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Given four points, you can always find a square such that its sides (possibly extended) pass through them. This square is not unique and sometimes is of size 0.
Contributed by: Jaime Rangel-Mondragon (March 2011)
Open content licensed under CC BY-NC-SA
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"Square Passing through Four Points"
http://demonstrations.wolfram.com/SquarePassingThroughFourPoints/
Wolfram Demonstrations Project
Published: March 7 2011