A Collinearity from the Medial and Excentral Triangles

Requires a Wolfram Notebook System

Interact on desktop, mobile and cloud with the free Wolfram CDF Player or other Wolfram Language products.

Requires a Wolfram Notebook System

Edit on desktop, mobile and cloud with any Wolfram Language product.

Let ABC be a triangle with excentral triangle A'B'C'. Let H be the orthocenter of ABC, I the incenter of the medial triangle of ABC, and O the circumcenter of A'B'C'. Then H, I, and O are collinear and I bisects HO.

Contributed by: Jay Warendorff (March 2011)
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