10278
EXPLORE
LATEST
ABOUT
AUTHORING AREA
PARTICIPATE
Your browser does not support JavaScript or it may be disabled!
Routh's Theorem
Suppose that in a triangle
lines are drawn from the vertices to the opposite sides at points
,
, and
. Let
,
, and
denote the ratios
,
, and
. Let the triangle formed inside
be
.
Routh's theorem states that
.
Contributed by:
Jay Warendorff
SNAPSHOTS
RELATED LINKS
Routh's Theorem
(
Wolfram
MathWorld
)
PERMANENT CITATION
"
Routh's Theorem
" from
the Wolfram Demonstrations Project
http://demonstrations.wolfram.com/RouthsTheorem/
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
Generalized Pythagoras Theorem
Jaime Rangel-Mondragon
The Eutrigon Theorem
S. M. Blinder
Another Generalization of Pythagoras's Theorem
Jaime Rangel-Mondragon
Mamikon's Proof of the Pythagorean Theorem
John Kiehl
A Relation between the Areas of Four Triangles
Jay Warendorff
Total Areas of Alternating Subtriangles in a 2n-gon
Jay Warendorff
Medial Division of Triangles
Jay Warendorff
Largest Isosceles Triangle Inscribed in a Circle
Jay Warendorff
The Area of a Triangle as Half a Rectangle
Jay Warendorff
Hadwiger-Finsler Inequality
Jay Warendorff
Related Topics
Area
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+