10275
EXPLORE
LATEST
ABOUT
AUTHORING AREA
PARTICIPATE
Your browser does not support JavaScript or it may be disabled!
Concurrency Induced by a Cevian
Let ABC be a triangle and let M be a point on AB. Let P and Q be the intersections of the angle bisectors of
and
with BC and AC respectively. Then AP, BQ, and CM are concurrent.
Contributed by:
Jay Warendorff
THINGS TO TRY
Drag Locators
SNAPSHOTS
DETAILS
See problem 14 in
Classical Theorems in Plane Geometry
.
RELATED LINKS
Angle Bisector
(
Wolfram
MathWorld
)
Cevian
(
Wolfram
MathWorld
)
Concurrent
(
Wolfram
MathWorld
)
PERMANENT CITATION
"
Concurrency Induced by a Cevian
" from
the Wolfram Demonstrations Project
http://demonstrations.wolfram.com/ConcurrencyInducedByACevian/
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
A Concurrency Generated by the Angle Bisectors
Jay Warendorff
Incircles and a Cevian
Jay Warendorff
An IMO Problem Involving Concurrency
Jay Warendorff
A Concurrency from Six Pedal Points
Jay Warendorff
A Concurrency from Circumcircles of Subtriangles
Jay Warendorff
A Concurrency of Lines Joining Orthocenters
Jay Warendorff
A Concurrency from Midpoints of Arcs of the Circumcircle
Jay Warendorff
A Concurrency from a Point and a Triangle's Excenters
Jay Warendorff
The Medial Triangle and Concurrency at the Nagel Point
Jay Warendorff
A Concurrency of Lines through Points of Tangency with Excircles
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+