Model: Q04 Involute Gear Tooth Profile
This is a beautiful pedagodical model which shows how the involute shape of the modern gear tooth maintains a constant velocity ratio between the two gears.

The cycliodal or epicycloidal shaped tooth profile was studied by L. Euler (1707-1783), as well as the thermodynamicist Gibbs in the 19th century and are discussed in many books on kinematic in the 19th century, e.g. R. Willis (1841).
This clever pedagodical model shows how the cycloid gear tooth shape is generated by the rolling of one circle on another. See also the model Q3.

Francis Moon 2003-05-29

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