Cycloids and Their Tangents

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This Demonstration shows how to draw a cycloidal curve and its tangents. Parametric equations are obtained from the vectors that generate the curve.

Contributed by: Tomas Garza (August 2019)
Open content licensed under CC BY-NC-SA


This Demonstration shows:

1. a simple method to derive the parametric equations for a cycloid from the vector components of the curve

2. the tangent in terms of the derivative of the equations

You can look at the simple drawing of the curve and its tangents or watch its components at work. You can select the ordinary cycloid, the curtate case or the prolate case.


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