10044
EXPLORE
LATEST
ABOUT
AUTHORING AREA
PARTICIPATE
Your browser does not support JavaScript or it may be disabled!
A Parallelogram with Vertices on Two Circles
Let a circle have diameter AB and let M be a point on another circle with center at A. Let the circles intersect at C and D. Let BM, CM, and DM intersect the first circle at N, P, and Q, respectively. Then MPBQ is a parallelogram.
Contributed by:
Jay Warendorff
THINGS TO TRY
Slider Zoom
SNAPSHOTS
DETAILS
See
problem 2666 in
Crux Mathematicorum
28
(7), 2002 pp. 462-3.
RELATED LINKS
Parallelogram
(
Wolfram
MathWorld
)
PERMANENT CITATION
"
A Parallelogram with Vertices on Two Circles
" from
the Wolfram Demonstrations Project
http://demonstrations.wolfram.com/AParallelogramWithVerticesOnTwoCircles/
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 Circumcircle of the Orthocenter and Two Vertices and a Parallelogram
Jay Warendorff
Wittenbauer's Parallelogram
Jay Warendorff
Area of a Parallelogram
Sue Hurley
Areas of Parallelograms and Trapezoids
Helen Papadopoulos
Area of a Hexagon Formed by the Vertices and Altitude Extensions of a Triangle
Jay Warendorff
The Midpoint Quadrilateral Theorem
Jay Warendorff
Classifying Quadrilaterals
Sarah Lichtblau
Opposite Angles of a Quadrilateral in a Circle
Jay Warendorff
Parallelogram Slide
Izidor Hafner
Polygons on n Vertices
Marc Brodie
Related Topics
Plane Geometry
Polygons
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+