The Nagel Line
Requires a Wolfram Notebook System
Interact on desktop, mobile and cloud with the free Wolfram Player or other Wolfram Language products.
The Nagel line is the line on which the centroid, incenter, Nagel point and Spieker center of a triangle all lie. In this Demonstration, the blue point is the centroid, the red point is the incenter, the green point is the Nagel point and the orange point is the Spieker center. You can vary the triangle using the three locators.
Contributed by: Will Nute (April 2017)
Open content licensed under CC BY-NC-SA
Snapshots
Details
Inspiration and implementation of code to handle degenerate triangle cases is taken from code used by Jay Warendorff in several of his excellent Demonstrations related to triangle lines and centers. See the first Related Links.
This was a project for Advanced Topics in Mathematics II, 2016–2017, Torrey Pines High School, San Diego, CA.
Permanent Citation
"The Nagel Line"
http://demonstrations.wolfram.com/TheNagelLine/
Wolfram Demonstrations Project
Published: April 11 2017