9853
EXPLORE
LATEST
ABOUT
AUTHORING AREA
PARTICIPATE
Your browser does not support JavaScript or it may be disabled!
The Lunes of Hippocrates
The triangle in the semicircle has a right angle at
. The sum of the areas of the two lunes (or crescents) is equal to the area of the triangle.
Contributed by:
Abraham Gadalla
THINGS TO TRY
Slider Zoom
Automatic Animation
SNAPSHOTS
RELATED LINKS
Lune
(
Wolfram
MathWorld
)
PERMANENT CITATION
"
The Lunes of Hippocrates
" from
the Wolfram Demonstrations Project
http://demonstrations.wolfram.com/TheLunesOfHippocrates/
Contributed by:
Abraham Gadalla
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
Ratio of Areas in a Square
Abraham Gadalla
The Area of a Square in a Square
Abraham Gadalla
A Relation between the Areas of Four Triangles
Jay Warendorff
Rational Triangles with Area Less than 102
Jaime Rangel-Mondragon
Bisecting a Triangle
Jaime Rangel-Mondragon
The Area of a Triangle inside the Incircle
Jay Warendorff
The Area of the Contact Triangle
Jay Warendorff
Routh's Theorem
Jay Warendorff
Bisecting the Area and Perimeter of a Triangle
Jaime Rangel-Mondragon
Generalized Pythagoras Theorem
Jaime Rangel-Mondragon
Related Topics
Area
Plane Geometry
Triangles
Browse all topics
Related Curriculum Standards
US Common Core State Standards, Mathematics
7.G.B.4
7.G.B.6
8.G.B.7
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+