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Topic: trochoids
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davide crippa

Posts: 2
From: paris
Registered: 11/1/08
trochoids
Posted: Dec 5, 2010 12:53 PM
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In a tract from 1674, Leibniz proposes to consider a parabola in the plane, and make it roll along one of its tangents (for example, the tangent to its vertex). He then claims that a new curve is generated by the motion of the focal point of the original parabola, and calls such a curve "parabolic trochoid". The generating procedure employed is similar to the one employed for generating the cycloid, but the curve at stake is different.
Would anyone help me finding the equation of Leibniz's parabolic trochoid?

Thanks a lot!
Davide



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