Back in my days as a Math undergrad, I had to do the same thing. You wouldn't happen to be in a College Geometry class would you.
First, a hint. Get a ball and some rubber bands if you haven't already done so. I used a tennis ball, which worked very well. I had to draw out my angles on the ball and everything. (Still have that ball on a shelf somewhere.)
I wish I could help further. I will need to go home and get my notes. It's been almost 5 years now since I proved it, so forgive me for being a bit rusty. Good thing is, I actually still have my notes and probably even the proof for this in my college notes collection at home. Yes, I am a pack rat and still have all my college notes even though I have been out of college for a little while now.
If this is not due immediately, I will pull out my notes tonight and see if I can give you any pointers. |