I think you'll really enjoy working through the propositions with MoI, Joe. I don't know if it would be considered 'cheating' (I understand why some might think so), but you can really see the geometric principles come to life using MoI. It's so elegant and intuitive and works so well with the text. Kind of blows my mind, it's so cool.

Honestly, I keep finding new, unforeseen and interesting ways to use MoI. It has become my secret weapon and my Swiss army knife. Here's a good example: I taught a class on game level design recently and I encouraged my students to explore MoI for prototyping because it was so much easier to use than Maya (which was kind of against the rules of the school, I later learned, due to legal/bureaucratic reasons). One of the students wanted to know how I made an arched tunnel connector tile piece (four tunnels blend into an intersection which could be used to layout a dungeon map). He looked at my geometry in game for a bit, trying to sort out how he would build it in Maya, then said, "Let me, guess, you cheated and used that cool program, right?"

I smiled and said, "It's not cheating if it gets the job done."