, Volume 18, Issue 9, pp 817–831 | Cite as

Application of analytical geometry to the form of gear teeth

  • V. G. A. GossEmail author
General / Article


Nearly all gear wheels manufactured today have teeth with a profile based on the involute of a circle. The story of how this particular curve gained such mundane prevalence can be traced back to the pioneering work of European natural philosophers, in particular Euler. It involves the application of analytical geometry to a real world engineering problem.


Gear teeth involute cycloid 


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Suggested reading

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    E H Lockwood, A Book of Curves, Cambridge, 1961.CrossRefGoogle Scholar
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    R S Woodbury, Studies in the History of Machine Tools, MIT Press, Massachusetts, 1972.Google Scholar
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    Charles Camus, Cours de Mathématiques, Paris, 1766; Ed., John Hawkins, London, 1842.Google Scholar
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    T Koestier, From Kinematically Generated Curves to Instantaneous Invariants: Episodes in the History of Instantaneous Planar Kinematics, Mechanism and Machine Theory, Vol.21, No.6, pp.489–498, 1986.CrossRefGoogle Scholar

Copyright information

© Indian Academy of Sciences 2013

Authors and Affiliations

  1. 1.Department of Engineering and DesignLondon South Bank UniversityLondon, SEIOAAUK

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