, Volume 18, Issue 9, pp 817–831

Application of analytical geometry to the form of gear teeth

General / Article

DOI: 10.1007/s12045-013-0106-3

Cite this article as:
Goss, V.G.A. Reson (2013) 18: 817. doi:10.1007/s12045-013-0106-3


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 teethinvolutecycloid

Copyright information

© Indian Academy of Sciences 2013

Authors and Affiliations

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