10680
EXPLORE
LATEST
ABOUT
AUTHORING AREA
PARTICIPATE
Your browser does not support JavaScript or it may be disabled!
Concyclic Circumcenters
A triangle is divided by its three medians into six smaller triangles. Their circumcenters lie on a circle.
Contributed by:
Jay Warendorff
THINGS TO TRY
Drag Locators
Gamepad Controls
SNAPSHOTS
DETAILS
For more information, see:
F. van Lamoen, "Circumcenters on a Circle: 10830,"
The American Mathematical Monthly
109
(4), 2002 pp. 396-397.
RELATED LINKS
Circumcircle
(
Wolfram
MathWorld
)
Concyclic
(
Wolfram
MathWorld
)
Median
(
Wolfram
MathWorld
)
van Lamoen Circle
(
Wolfram
MathWorld
)
PERMANENT CITATION
"
Concyclic Circumcenters
" from
the Wolfram Demonstrations Project
http://demonstrations.wolfram.com/ConcyclicCircumcenters/
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
Concyclic Points from Reflections of the Circumcenter about the Altitudes
Jay Warendorff
Four Concyclic Points
Jay Warendorff
Collinearity of an Incenter and Two Circumcenters
Jay Warendorff
An Altitude and Four Concyclic Points
Jay Warendorff
Concyclic Points Derived from Midpoints of Altitudes
Jay Warendorff
Concyclic Points Associated with an Angle Bisector and an Excircle
Jay Warendorff
Concyclic Points Related to a Midpoint and the Incircle
Jay Warendorff
Three Concyclic Sets of Points Associated with the Orthic Triangle
Jay Warendorff
The Line through the Incenter and Circumcenter
Jay Warendorff
Line Segments through the Vertices and the Circumcenter of an Acute Triangle
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+