10392
EXPLORE
LATEST
ABOUT
AUTHORING AREA
PARTICIPATE
Your browser does not support JavaScript or it may be disabled!
Miquel's Pentagram Theorem
Extend the sides of a pentagon to form five triangles, one on each side of the pentagon. Then the five points of intersection of neighboring pairs of circumcircles that are not on the pentagon lie on a circle.
Contributed by:
Jay Warendorff
THINGS TO TRY
Drag Locators
SNAPSHOTS
RELATED LINKS
Concyclic
(
Wolfram
MathWorld
)
Miquel's Pentagram Theorem
(
Wolfram
MathWorld
)
Miquel Five Circles Theorem
(
Wolfram
MathWorld
)
Pentagon
(
Wolfram
MathWorld
)
Pentagram
(
Wolfram
MathWorld
)
PERMANENT CITATION
"
Miquel's Pentagram Theorem
" from
the Wolfram Demonstrations Project
http://demonstrations.wolfram.com/MiquelsPentagramTheorem/
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
Hoehn's Theorem
Jay Warendorff
Ptolemy's Theorem
Jay Warendorff
Fuhrmann's Theorem
Jay Warendorff
The Midpoint Quadrilateral Theorem
Jay Warendorff
Van Aubel's Theorem for Quadrilaterals
Jay Warendorff
Tilson's Square-to-Pentagram Dissection
Izidor Hafner
Pick's Theorem
Ed Pegg Jr
Japanese Theorem for Cyclic Polygons
David Kang Myung Yang
Théorème de Pascal (French)
Emmanuel Amiot
Opposite Angles of a Quadrilateral in a Circle
Jay Warendorff
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+