cragwolf
03-04-2006, 05:45 AM
In 1929, the Anglo-American mathematician, Frank Morley, published and proved a theorem, which subsequently came to bear his name, Morley's theorem, also known as Morley's Miracle. It states:
The three points of intersection of the adjacent trisectors of the angles of any triangle form an equilateral triangle.
I have created an interactive OpenGL demonstration of this theorem, using the JEDI-SDL headers and FreePascal. It's nothing much, just a trifle, really, but you may enjoy it. I've only tested it on Linux, but I reckon it should also work on other platforms that are compatible with JEDI-SDL and FPC. Download the source code from here:
http://www.ludicity.org/files/morley.tar.gz (97.4 KB)
I compile it with the command: fpc -Mobjfpc morley.pp
Here's a screenshot:
http://www.ludicity.org/images/morleyss.png (33 KB)
You can click and drag any vertex of the blue triangle, and the red triangle will always remain an equilateral triangle.
The three points of intersection of the adjacent trisectors of the angles of any triangle form an equilateral triangle.
I have created an interactive OpenGL demonstration of this theorem, using the JEDI-SDL headers and FreePascal. It's nothing much, just a trifle, really, but you may enjoy it. I've only tested it on Linux, but I reckon it should also work on other platforms that are compatible with JEDI-SDL and FPC. Download the source code from here:
http://www.ludicity.org/files/morley.tar.gz (97.4 KB)
I compile it with the command: fpc -Mobjfpc morley.pp
Here's a screenshot:
http://www.ludicity.org/images/morleyss.png (33 KB)
You can click and drag any vertex of the blue triangle, and the red triangle will always remain an equilateral triangle.