11043
EXPLORE
LATEST
ABOUT
AUTHORING AREA
PARTICIPATE
Your browser does not support JavaScript or it may be disabled!
Nagel's Theorem
Let ABC be a triangle with two altitudes AA' and BB', and let O be the center of the circumcircle. Then A'B' and CO are perpendicular.
Contributed by:
Jay Warendorff
After work by:
Alexander Bogomolny
THINGS TO TRY
Drag Locators
SNAPSHOTS
DETAILS
A. Bogomolny, "
Nagel's Theorem
,"
Interactive Mathematics Miscellany and Puzzles
.
RELATED LINKS
Altitude
(
Wolfram
MathWorld
)
Circumcircle
(
Wolfram
MathWorld
)
PERMANENT CITATION
"
Nagel's Theorem
" from
the Wolfram Demonstrations Project
http://demonstrations.wolfram.com/NagelsTheorem/
Contributed by:
Jay Warendorff
After work by:
Alexander Bogomolny
Share:
Embed Interactive Demonstration
New!
Just copy and paste this snippet of JavaScript code into your website or blog to put the live Demonstration on your site.
More details »
Download Demonstration as CDF »
Download Author Code »
(preview »)
Files require
Wolfram
CDF Player
or
Mathematica
.
Related Demonstrations
More by Author
Simson's Theorem
Jay Warendorff
Viviani's Theorem
Jay Warendorff
Miquel's Theorem
Jay Warendorff
Kosnita's Theorem
Jay Warendorff
Lester's Theorem
Jay Warendorff
A Generalization of Hansen's Theorem
Jay Warendorff
Euler's Theorem for Pedal Triangles
Jay Warendorff
The Nagel Point
Jay Warendorff
The Medial Triangle and Concurrency at the Nagel Point
Jay Warendorff
Cross's Theorem
Jay Warendorff
Related Topics
Plane Geometry
Triangles
Browse all topics
Note: To run this Demonstration you need Mathematica 7+ or the free Mathematica Player 7EX
Download or upgrade to
Mathematica Player 7EX
I already have
Mathematica Player
or
Mathematica 7+