navbar-top.gif
btn_spacer.gifHomeTopicsLatestRandomAboutFAQsParticipateAuthoring Areabtn_spacer.gif

The Medial Triangle and Concurrency at the Nagel Point
Let ABC be a triangle and A', B', and C' be the midpoints of the sides opposite A, B, and C. Let A", B", and C" be the points of tangency of the incircles of AB'C' with B'C', BA'C' with A'C', and CA'B' with A'B'. Then A'A", B'B", and C'C" are concurrent and meet at the Nagel point.



The lines connecting the vertices of a triangle with the corresponding points of tangency of the three excircles are concurrent at a point called the Nagel point.
A. Bogomolny, "Nagel Point of the Medial Triangle," Interactive Mathematics Miscellany and Puzzles.


"The Medial Triangle and Concurrency at the Nagel Point" from The Wolfram Demonstrations Project
 http://demonstrations.wolfram.com/TheMedialTriangleAndConcurrencyAtTheNagelPoint/
Contributed by: Jay Warendorff
After work by: Alexander Bogomolny
Free Download: Mathematica Player--Runs all Demonstrations & more
Related Topics

Some Related Demonstrations

Share & Bookmark This Demonstration

Contribute
Powered by Wolfram Mathematica
Give us your feedback
Give us your feedback

Source page:




 often  occasionally  never

Note: Please do not include anything you consider confidential or proprietary. We will keep your information private. We will not give it to any third party.
Privacy Policy »
©  2008 The Wolfram Demonstrations Project & Contributors    Wolfram Research    Site Index    Terms of Use    Privacy Policy    RSS    Atom