Maximum Size of Involute Gear Teeth

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Pairs of surfaces with the involutes of a circle as cross sections are plotted from the vertices of regular polygons. The diameter of the circle where the surfaces meet determines the maximum theoretically possible involute gear tooth size.
Contributed by: Sándor Kabai (September 2008)
Additional contributions by: János Tóth
Open content licensed under CC BY-NC-SA
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Details
To study involute gear geometry start with the earlier Circle Involute Demonstration (see the Related Links).
Permanent Citation
"Maximum Size of Involute Gear Teeth"
http://demonstrations.wolfram.com/MaximumSizeOfInvoluteGearTeeth/
Wolfram Demonstrations Project
Published: September 24 2008