10657
EXPLORE
LATEST
ABOUT
AUTHORING AREA
PARTICIPATE
Your browser does not support JavaScript or it may be disabled!
Collinearity of an Incenter and Two Circumcenters
Let ABC be a triangle with excentral triangle A'B'C'. Let I be the incenter and O the circumcenter of ABC, and let
be the circumcenter of A'B'C'. Then I, O, and
are collinear and O bisects
.
Contributed by:
Jay Warendorff
THINGS TO TRY
Drag Locators
SNAPSHOTS
RELATED LINKS
Circumcenter
(
Wolfram
MathWorld
)
Circumcircle
(
Wolfram
MathWorld
)
Excenter
(
Wolfram
MathWorld
)
Excentral Triangle
(
Wolfram
MathWorld
)
Excircles
(
Wolfram
MathWorld
)
Incenter
(
Wolfram
MathWorld
)
Incircle
(
Wolfram
MathWorld
)
PERMANENT CITATION
"
Collinearity of an Incenter and Two Circumcenters
" from
the Wolfram Demonstrations Project
http://demonstrations.wolfram.com/CollinearityOfAnIncenterAndTwoCircumcenters/
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
Collinearity of an Orthocenter, the Incenter, and the Circumcenter
Jay Warendorff
Collinearity of a Triangle's Circumcenter, Incenter, and the Contact Triangle's Orthocenter
Jay Warendorff
The Line through the Incenter and Circumcenter
Jay Warendorff
The Distances to the Incenter and Excenters from the Circumcenter
Jay Warendorff
A Collinearity from the Medial and Excentral Triangles
Jay Warendorff
Concyclic Circumcenters
Jay Warendorff
A Collinearity Involving an Excircle, the Incircle, and the Circumcircle
Jay Warendorff
The Product of the Distances of the Incenter to the Vertices
Jay Warendorff
Division of an Angle Bisector by the Incenter
Jay Warendorff
Intersection of an Altitude and a Line through 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+