Geometric Square Root Construction

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Square roots of integers can be constructed using ruler and compass. The yellow triangle represents the current step of the iteration. It shares a side with the previous triangle and its outer side has length one.
Contributed by: Michael Schreiber (March 2011)
Open content licensed under CC BY-NC-SA
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"Geometric Square Root Construction"
http://demonstrations.wolfram.com/GeometricSquareRootConstruction/
Wolfram Demonstrations Project
Published: March 7 2011