10922
EXPLORE
LATEST
ABOUT
AUTHORING AREA
PARTICIPATE
Your browser does not support JavaScript or it may be disabled!
Three Circles Defined by Chords
Through a point on a circle draw three chords. Using each chord as a diameter, draw three circles. The pairwise intersections of the circles are collinear.
Drag the red points to change the figure.
Contributed by:
Jay Warendorff
THINGS TO TRY
Drag Locators
SNAPSHOTS
DETAILS
See problem 9 in
Classical Theorems in Plane Geometry
.
RELATED LINKS
Chord
(
Wolfram
MathWorld
)
Circle
(
Wolfram
MathWorld
)
Collinear
(
Wolfram
MathWorld
)
PERMANENT CITATION
"
Three Circles Defined by Chords
" from
the Wolfram Demonstrations Project
http://demonstrations.wolfram.com/ThreeCirclesDefinedByChords/
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 Three-Chord Lemma
Jay Warendorff
Equal Chords
Jay Warendorff
Equally Distant Chords
Jay Warendorff
A Triangle Formed by the Centers of Three Circles
Jay Warendorff
Intersecting Chords Theorem
Jay Warendorff
Making the Three Areas Defined by Congruent Overlapping Circles Equal
Kenneth E. Caviness and Eugene Stewart
A Product of Chord Lengths in a Circle
Jay Warendorff
A Triangle Formed by the Centers of Three Nine-Point Circles
Jay Warendorff
A Parallelogram Defined by the Centers of Four Incircles
Jay Warendorff
Tangent Circles
Jay Warendorff
Related Topics
Plane Geometry
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+