10075
EXPLORE
LATEST
ABOUT
AUTHORING AREA
PARTICIPATE
Your browser does not support JavaScript or it may be disabled!
Four Concurrent Lines in a Cyclic Quadrilateral
A cyclic quadrilateral has all four of its vertices on a circle.
Through the midpoint of each side of a cyclic quadrilateral draw a line perpendicular to the opposite side or its extension. The four resulting lines are concurrent.
Drag the purple points to change the figure.
Contributed by:
Jay Warendorff
After work by:
Alexander Bogomolny
THINGS TO TRY
Drag Locators
SNAPSHOTS
DETAILS
A. Bogomolny, "
Four Concurrent Lines in a Cyclic Quadrilateral
,"
Interactive Mathematics Miscellany and Puzzles
.
RELATED LINKS
Concurrent
(
Wolfram
MathWorld
)
Cyclic Quadrilateral
(
Wolfram
MathWorld
)
PERMANENT CITATION
"
Four Concurrent Lines in a Cyclic Quadrilateral
" from
the Wolfram Demonstrations Project
http://demonstrations.wolfram.com/FourConcurrentLinesInACyclicQuadrilateral/
Contributed by:
Jay Warendorff
After work by:
Alexander Bogomolny
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 Cyclic Quadrilateral Concurrency
Jay Warendorff
Perpendicular Lines Generated by a Quadrilateral
Jay Warendorff
The Midpoint Quadrilateral Theorem
Jay Warendorff
Opposite Angles of a Quadrilateral in a Circle
Jay Warendorff
Classifying Quadrilaterals
Sarah Lichtblau
Van Aubel's Theorem for Quadrilaterals
Jay Warendorff
Concave Random Quadrilaterals from Four Points in a Disk
Heikki Ruskeepää
Bisectors of Quadrilaterals
Jaime Rangel-Mondragon
Hyperbolic Quadrilateral
Ron Grosz
Quadrilateral Slide
Izidor Hafner
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+