10182
EXPLORE
LATEST
ABOUT
AUTHORING AREA
PARTICIPATE
Your browser does not support JavaScript or it may be disabled!
Johnson's Theorem
Let three circles of equal diameter intersect at a point H and intersect pairwise at points A, B, and C. Then the circumcircle of the triangle ABC has the same diameter as the other circles.
Drag the purple points or the slider to change the figure.
Contributed by:
Jay Warendorff
THINGS TO TRY
Drag Locators
SNAPSHOTS
RELATED LINKS
Circumcircle
(
Wolfram
MathWorld
)
Johnson Circles
(
Wolfram
MathWorld
)
Johnson's Theorem
(
Wolfram
MathWorld
)
PERMANENT CITATION
"
Johnson's Theorem
" from
the Wolfram Demonstrations Project
http://demonstrations.wolfram.com/JohnsonsTheorem/
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
Miquel's Theorem
Jay Warendorff
Kosnita's Theorem
Jay Warendorff
Lester's Theorem
Jay Warendorff
Nagel's Theorem
Jay Warendorff
Schinzel's Theorem
Jay Warendorff
Simson's Theorem
Jay Warendorff
Napoleon's Theorem
Jay Warendorff
Feuerbach's Theorem
Jay Warendorff
Hoehn's Theorem
Jay Warendorff
Menelaus' Theorem
Jay Warendorff
Related Topics
Plane Geometry
Browse all topics
Related Curriculum Standards
US Common Core State Standards, Mathematics
HSG-C.A.3
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+