10680
EXPLORE
LATEST
ABOUT
AUTHORING AREA
PARTICIPATE
Your browser does not support JavaScript or it may be disabled!
Equal Chords
Let ABC be a triangle with incenter I. Let AB and AC intersect the circle through B, I, and C at D and E, respectively, besides B and C. Then BD = CE.
Contributed by:
Jay Warendorff
THINGS TO TRY
Drag Locators
SNAPSHOTS
DETAILS
See problem 2.91(b) in V. Prasolov,
Problems in Plane and Solid Geometry
, Vol. 1,
Plane Geometry
[PDF], (D. Leites, ed. and trans.).
RELATED LINKS
Chord
(
Wolfram
MathWorld
)
Incenter
(
Wolfram
MathWorld
)
PERMANENT CITATION
"
Equal Chords
" from
the Wolfram Demonstrations Project
http://demonstrations.wolfram.com/EqualChords/
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
Two Triangles of Equal Area on Either Side of an Angle Bisector
Jay Warendorff
Intersection of an Altitude and a Line through the Incenter
Jay Warendorff
A Concurrency from the Reflection of the Incircle's Contact Points across the Incenter
Jay Warendorff
On the Areas of Triangles Associated with an Excircle
Jay Warendorff
Relations between Some Triangles Associated with Excircles
Jay Warendorff
Division of an Angle Bisector by the Incenter
Jay Warendorff
The Line through the Incenter and Circumcenter
Jay Warendorff
A Collinearity Involving an Excircle, the Incircle, and the Circumcircle
Jay Warendorff
Collinearity of a Triangle's Circumcenter, Incenter, and the Contact Triangle's Orthocenter
Jay Warendorff
The Schiffler Point
Jay Warendorff
Related Topics
Plane Geometry
Triangles
High School Geometry
High School Mathematics
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+