10392
EXPLORE
LATEST
ABOUT
AUTHORING AREA
PARTICIPATE
Your browser does not support JavaScript or it may be disabled!
Euler's Theorem for Pedal Triangles
Let ABC be a triangle and P an arbitrary point. Let A', B', and C' be the feet of the perpendiculars from P to the sides of ABC. Let O and R be the center and radius of the circumcircle. Then
.
Contributed by:
Jay Warendorff
THINGS TO TRY
Drag Locators
SNAPSHOTS
RELATED LINKS
Circumcircle
(
Wolfram
MathWorld
)
Pedal Triangle
(
Wolfram
MathWorld
)
PERMANENT CITATION
"
Euler's Theorem for Pedal Triangles
" from
the Wolfram Demonstrations Project
http://demonstrations.wolfram.com/EulersTheoremForPedalTriangles/
Contributed by:
Jay Warendorff
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
Pedal Triangles of Isogonal Conjugates
Jay Warendorff
The Third Pedal Triangle of a Triangle
Jay Warendorff
Euler's Triangle Formula
Jay Warendorff
Sums of Squares of Segments Created by a Pedal Triangle
Jay Warendorff
The Area of the Pedal Triangle of the Centroid
Jay Warendorff
An Application of the Gergonne-Euler Theorem
Jay Warendorff
Van Aubel's Theorem for Triangles
Jay Warendorff
A Concurrency from Six Pedal Points
Jay Warendorff
Concurrent Lines that Intersect on the Euler Line
Jay Warendorff
Miquel'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+