Mixtilinear Incircles

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.

A mixtilinear incircle is a circle that is tangent to two sides of a triangle and internally tangent to the triangle's circumcircle.

[more]

In the triangle ABC, suppose the three mixtilinear incircles touch the circumcircle at the points A', B', and C'. Then AA', BB', and CC' are concurrent.

[less]

Contributed by: Jay Warendorff (March 2011)
After work by: Paul Yiu
Open content licensed under CC BY-NC-SA


Snapshots


Details

The statement of the theorem is in "Notes on Euclidean Geometry" by Paul Yiu, p. 98.



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