10776
EXPLORE
LATEST
ABOUT
AUTHORING AREA
PARTICIPATE
Your browser does not support JavaScript or it may be disabled!
A Congruent Angle inside the Incircle
Let ABC be a triangle and let O be the center of the incircle. Let E be the point of tangency of the incircle with AC. Let AO and CO intersect the line drawn through the other two points of tangency at F and D, respectively. Then
.
Contributed by:
Jay Warendorff
After work by:
Antonio Gutierrez
THINGS TO TRY
Drag Locators
SNAPSHOTS
DETAILS
The statement of the theorem is in
Problem 52. Triangle, Angles, Incircle
.
RELATED LINKS
Incircle
(
Wolfram
MathWorld
)
PERMANENT CITATION
"
A Congruent Angle inside the Incircle
" from
the Wolfram Demonstrations Project
http://demonstrations.wolfram.com/ACongruentAngleInsideTheIncircle/
Contributed by:
Jay Warendorff
After work by:
Antonio Gutierrez
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
Area of a Triangle inside the Incircle
Jay Warendorff
The Area of a Triangle inside the Incircle
Jay Warendorff
Concurrent Line Segments Related to the Incircle
Jay Warendorff
Concyclic Points Related to a Midpoint and the Incircle
Jay Warendorff
An Angle Bisection
Jay Warendorff
The Incircle and the Altitudes of a Triangle
Jay Warendorff
Mixtilinear Incircles
Jay Warendorff
A Collinearity Involving an Excircle, the Incircle, and the Circumcircle
Jay Warendorff
Tangents to the Incircle from a Point on the Circumcircle
Jay Warendorff
A Concurrency from the Reflection of the Incircle's Contact Points across the Incenter
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+