The Brocard Points and Neuberg Circles of a Triangle

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.

In the triangle shown, the Brocard point (red) is the only point such that the alternating gray-blue angles are all equal. The measure of this angle is called the Brocard angle.

[more]

The second Brocard point is similarly defined using the other adjacencies with the sides.

A Neuberg circle is the locus of points through which one vertex can vary (keeping the other two fixed) while preserving the Brocard angle. You can drag the vertices to change the triangle or drag them around the Neuberg circles when the circles are shown.

[less]

Contributed by: Jaime Rangel-Mondragon (August 2012)
Open content licensed under CC BY-NC-SA


Snapshots


Details

detailSectionParagraph


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