Number of Normals to a Curve
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The normals to the green curve are tangent to the evolute of the curve. The number of normals passing through the given point changes when crossing the evolute.
Contributed by: Maxim Rytin (March 2011)
Open content licensed under CC BY-NC-SA
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"Number of Normals to a Curve"
http://demonstrations.wolfram.com/NumberOfNormalsToACurve/
Wolfram Demonstrations Project
Published: March 7 2011