11428
EXPLORE
LATEST
ABOUT
AUTHORING AREA
PARTICIPATE
Your browser does not support JavaScript or it may be disabled!
A Generalization of Hansen's Theorem
Let ABC be a triangle and H its orthocenter. Let
and
R
be the radii of the incircle and circumcircle. Let
,
, and
be the radii of the excircles opposite A, B, and C. Then
.
Contributed by:
Jay Warendorff
After work by:
Amy Bell
THINGS TO TRY
Drag Locators
SNAPSHOTS
DETAILS
See
Hansen's Right Triangle Theorem, Its Converse and a Generalization.
RELATED LINKS
Excircles
(
Wolfram
MathWorld
)
Circumcircle
(
Wolfram
MathWorld
)
Incircle
(
Wolfram
MathWorld
)
Orthocenter
(
Wolfram
MathWorld
)
PERMANENT CITATION
"
A Generalization of Hansen's Theorem
" from
the Wolfram Demonstrations Project
http://demonstrations.wolfram.com/AGeneralizationOfHansensTheorem/
Contributed by:
Jay Warendorff
After work by:
Amy Bell
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
Nagel's Theorem
Jay Warendorff
Feuerbach's Theorem
Jay Warendorff
Viviani's Theorem
Jay Warendorff
Simson's Theorem
Jay Warendorff
Miquel's Theorem
Jay Warendorff
Kosnita's Theorem
Jay Warendorff
Lester's Theorem
Jay Warendorff
Another Variant of Kosnita's Theorem
Jay Warendorff
Euler's Theorem for Pedal Triangles
Jay Warendorff
A Concurrency Generated by Lines through the Orthocenter and Circles about a Triangle's Sides
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+