There are many false proofs in mathematics. In addition to examples in our lectures, the following article is an MIT student project: ? 
Xing Yuan, Mathematical Fallacy Proofs
http://dspace.mit.edu/bitstream/handle/1721.1/100853/18-304-spring2006/contents/projects/fallacy_yuan.pdf 
 
For this project, you need to  
* Search the Internet to get more new false proofs different from those in our lectures and in Yuan’s paper.  ? 
*Get at least four examples, one for a topic in algebra, trigonometry, geometry and calculus.  ?
* For each false proof, explain what cause the false proof, and how to correct it.  ?Include the webpages as reference where you find the false proofs.  ? 

Attached is an example of the format and how the project should look, like please follow that format.