Wolfram Demonstrations Project

13,000+ Open Interactive Demonstrations
Powered by Notebook Technology »

1. Normal and Tangent to a Cassini Oval

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 how to construct the normal and tangent to a Cassini oval at a point .

[more]

A Cassini oval is the locus of points such that , where and . If the foci and , then

, .

For the normal vector at a point on the oval,

,

where is the unit vector in the direction of .

Thus the normal to the Cassini oval at is a diagonal of the parallelogram obtained by extending the vector by and extending by , where . Then the tangent is the perpendicular to at .

[less]

Contributed by: Marko Razpet and Izidor Hafner (August 2018)
Open content licensed under CC BY-NC-SA

Details

Snapshots

Embed Code

Take advantage of the Wolfram Notebook Emebedder for the recommended user experience.

Related Demonstrations More by Author
Browse all topics
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