The Centroid, Circumcenter, and Orthocenter Are Collinear

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.

For a triangle , let be the centroid (the point of intersection of the medians of a triangle), the circumcenter (the center of the circumscribed circle of ), and the orthocenter (the point of intersection of its altitudes). Then , , and are collinear and . Note that and can be located outside of the triangle.

Contributed by: Jaime Rangel-Mondragon (July 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.