Generating a Lemniscate IV: Rotating a Line

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 construction of the lemniscate of Gerono. Take a circle (black with orange interior) with center O and fix one of its tangent lines (blue). Consider a point P (red) on the circle and the perpendicular to the fixed line through P intersecting at a point M. Let Q (yellow) be the intersection of line OM and a vertical line passing through P. The trace of Q as P moves on the circle is the lemniscate.

Contributed by: Jaime Rangel-Mondragon (March 2011)
Open content licensed under CC BY-NC-SA


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.