This is the writeup of the Final Assignment 
Brian R. Lawler

EMAT 6680 
12/16/00

Part One
I have reviewed my Writeups 1  12. I did some revising, spell checking, and link testing to the point I feel that, collectively, the 12 writeups represent my best work for the time allotted during the course/semester. These writeups stand as an electronic portfolio of my work.
Part Two
Complete a Writeup on your Web Page for the following investigation. This should be individual work.
A. 
Consider any triangle ABC. Select a point P inside the triangle and draw lines AP, BP, and CP extended to their intersections with the opposite sides in points D, E, and F respectively. Explore (AF)(BD)(EC) and (FB)(DC)(EA) for various triangles and various locations of P.

B. 
Conjecture? Prove it! (you may need draw some parallel lines to produce some similar triangles) Also, it probably helps to consider the ratio Can the result be generalized (using lines rather than segments to construct ABC) so that point P can be outside the triangle? Show a working GSP sketch. 
C. 
Show that when P is inside triangle ABC, the ratio of the areas of triangle ABC and triangle DEF is always greater than or equal to 4. When is it equal to 4? 
Part Three
I submitted my course evaluation to Dr. Pat Wilson via email on December 16, 2000.
Comments? Questions? email me at blawler@coe.uga.edu 
Last revised: January 3, 2001 