An Application of the Gergonne-Euler Theorem

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.

Let the intersection of lines and be denoted . Let the line through point P and parallel to the line be denoted by [P, ].


Let ABC and A'B'C' be two triangles. Let , , and . Let , , and . Then XX', YY', and ZZ' are concurrent.


Contributed by: Jay Warendorff (September 2008)
After work by: Darij Grinberg
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.