10922
EXPLORE
LATEST
ABOUT
AUTHORING AREA
PARTICIPATE
Your browser does not support JavaScript or it may be disabled!
A Triangle Formed by the Centers of Three Circles
Let ABC be a triangle with points P on BC, Q on AB, and R on AC. The triangle formed by the centers of the circumcircles of AQR, BPQ, and CPR is similar to ABC.
Contributed by:
Jay Warendorff
THINGS TO TRY
Drag Locators
SNAPSHOTS
DETAILS
See problem 21 in
Classical Theorems in Plane Geometry
.
RELATED LINKS
Circle
(
Wolfram
MathWorld
)
Similar
(
Wolfram
MathWorld
)
Similar Triangles
(
Wolfram
MathWorld
)
PERMANENT CITATION
"
A Triangle Formed by the Centers of Three Circles
" from
the Wolfram Demonstrations Project
http://demonstrations.wolfram.com/ATriangleFormedByTheCentersOfThreeCircles/
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
A Triangle Formed by the Centers of Three Nine-Point Circles
Jay Warendorff
The Triangle Formed by the Centers of the Miquel Circles
Jay Warendorff
Pairwise Tangent Circles Centered at the Vertices of a Triangle
Jay Warendorff
Similar Triangles Determined by Miquel Circles and the Circumcircle
Jay Warendorff
Inscribing Four Circles in a Triangle
Jay Warendorff
The Third Pedal Triangle of a Triangle
Jay Warendorff
Largest Isosceles Triangle Inscribed in a Circle
Jay Warendorff
Dividing a Right Triangle by the Altitude to the Hypotenuse
Jay Warendorff
The Triangles Cut Off by the Sides of the Orthic Triangle
Jay Warendorff
The Center and Radius of the Nine-Point Circle
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+