Geometric Mean Constructions

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The geometric mean of and
is
which can be constructed by rule and compass. The lengths of orange and blue line correspond to
and
. The green line gives their geometric mean. Change the lengths of the given lines and select whether they should connect or overlap.
Contributed by: Michael Schreiber (March 2011)
Open content licensed under CC BY-NC-SA
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"Geometric Mean Constructions"
http://demonstrations.wolfram.com/GeometricMeanConstructions/
Wolfram Demonstrations Project
Published: March 7 2011