Cassini Ovals

Initializing live version
Download to Desktop

Requires a Wolfram Notebook System

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

This Demonstration shows the family of Cassini ovals (or Cassini ellipses). These curves are traced by a point such that the product of its distances from two fixed points a distance apart is a constant .

[more]

The shape depends on . If , the curve is a single loop. The case produces a lemniscate. If , then the curve consists of two loops.

[less]

Contributed by: Eduardo J. Oliver Martos (June 2016)
Open content licensed under CC BY-NC-SA


Details


Snapshots



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