10981
EXPLORE
LATEST
ABOUT
AUTHORING AREA
PARTICIPATE
Your browser does not support JavaScript or it may be disabled!
Concurrent Line Segments Related to the Incircle
Let ABC be a triangle. Let the intersection of the incircle with BC be A'. Let AA' also intersect the incircle at P. Let BP and CP intersect the incircle at M and N, respectively. Then CM, BN, and AA' are concurrent.
Contributed by:
Jay Warendorff
THINGS TO TRY
Drag Locators
SNAPSHOTS
DETAILS
See
Iranian Mathematical Olympiad 2002 Third Round 3/6.
RELATED LINKS
Concurrent
(
Wolfram
MathWorld
)
Incircle
(
Wolfram
MathWorld
)
PERMANENT CITATION
"
Concurrent Line Segments Related to the Incircle
" from
the Wolfram Demonstrations Project
http://demonstrations.wolfram.com/ConcurrentLineSegmentsRelatedToTheIncircle/
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 from the Midpoints of Line Segments through the Circumcenter
Jay Warendorff
Concyclic Points Related to a Midpoint and the Incircle
Jay Warendorff
Concurrent Lines that Intersect on the Euler Line
Jay Warendorff
A Concurrency from the Reflection of the Incircle's Contact Points across the Incenter
Jay Warendorff
A Concurrency of Lines Joining Orthocenters
Jay Warendorff
A Relation between Incircles and Excircles
Jay Warendorff
Mixtilinear Incircles
Jay Warendorff
A Congruent Angle inside the Incircle
Jay Warendorff
A Concurrency of Lines through Points of Tangency with Excircles
Jay Warendorff
A Concurrency from Circumcircles of Subtriangles
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+