10263
EXPLORE
LATEST
ABOUT
AUTHORING AREA
PARTICIPATE
Your browser does not support JavaScript or it may be disabled!
Intersecting Circles and a Right Angle
Let A, B, C, and D be points on a circle with center O. Let the lines AB and CD meet at M. Let the circumcircles of AOC and DOB meet at K apart from O. Then
is
.
Drag the light blue points or the slider to change the figure.
Contributed by:
Jay Warendorff
THINGS TO TRY
Drag Locators
SNAPSHOTS
DETAILS
See a problem from
Russia 1995.
RELATED LINKS
Circumcircle
(
Wolfram
MathWorld
)
Perpendicular
(
Wolfram
MathWorld
)
PERMANENT CITATION
"
Intersecting Circles and a Right Angle
" from
the Wolfram Demonstrations Project
http://demonstrations.wolfram.com/IntersectingCirclesAndARightAngle/
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
The Intersection of an Angle Bisector and a Perpendicular Bisector
Jay Warendorff
An Angle Bisection
Jay Warendorff
A Concurrency Generated by the Angle Bisectors
Jay Warendorff
Circumcircles Intersecting at the First Fermat Point
Jay Warendorff
Circles through the Orthocenter
Jay Warendorff
Perpendiculars from a Point on the Line between the Endpoints of the Angle Bisectors
Jay Warendorff
Concyclic Points Associated with an Angle Bisector and an Excircle
Jay Warendorff
Two Triangles of Equal Area on Either Side of an Angle Bisector
Jay Warendorff
The Triangle Formed by the Centers of the Miquel Circles
Jay Warendorff
Similar Triangles Determined by Miquel Circles and the Circumcircle
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+