9478
EXPLORE
LATEST
ABOUT
AUTHORING AREA
PARTICIPATE
Your browser does not support JavaScript or it may be disabled!
Barrow's Inequality
Let P be an internal point of the triangle ABC. Let the angle bisectors of the three angles from P to the vertices of ABC meet its sides at A', B', and C'.
Then
.
Contributed by:
Jay Warendorff
THINGS TO TRY
Drag Locators
SNAPSHOTS
DETAILS
See
Barrow's Inequality
on Wikipedia.
RELATED LINKS
Angle Bisector
(
Wolfram
MathWorld
)
PERMANENT CITATION
"
Barrow's Inequality
" from
the Wolfram Demonstrations Project
http://demonstrations.wolfram.com/BarrowsInequality/
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
Hadwiger-Finsler Inequality
Jay Warendorff
The Erdös-Mordell Inequality
Jay Warendorff
A Triangle Inequality Involving the Altitudes, Semiperimeter, Inradius, and Circumradius
Jay Warendorff
Perpendiculars from a Point on the Line between the Endpoints of the Angle Bisectors
Jay Warendorff
The Area of the Incentral Triangle
Jay Warendorff
Angle Bisector Theorem
Jay Warendorff
The Intersection of an Angle Bisector and a Perpendicular Bisector
Jay Warendorff
Division of an Angle Bisector by the Incenter
Jay Warendorff
Two Triangles of Equal Area on Either Side of an Angle Bisector
Jay Warendorff
Bisectors of the Angles of the Orthic Triangle
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+