Anticycloid Curves II: A Rolling Ellipse

Requires a Wolfram Notebook System

Interact on desktop, mobile and cloud with the free Wolfram CDF Player or other Wolfram Language products.

Requires a Wolfram Notebook System

Edit on desktop, mobile and cloud with any Wolfram Language product.

Anticycloid curves are defined by an inverse problem: when a circle rolls on an anticycloid then a fixed point in the circle moves on a straight line. The trace of a focus of an ellipse rolling on a straight line generates these curves.

Contributed by: Ralf Schaper (March 2011)
After work by: Hans Dirnböck
Open content licensed under CC BY-NC-SA


Snapshots


Details

The relationship between the anticycloid curves of this Demonstration and those when a circle is rolling on an anticyloid is described in detail in the book by H. Dirnböck, Die Antizykloidenbewegung, Klagenfurt, Austria: Verlag Heyn, 1987 pp. 83–88.



Feedback (field required)
Email (field required) Name
Occupation Organization
Note: Your message & contact information may be shared with the author of any specific Demonstration for which you give feedback.
Send