I admit to not reading all of the above commentary (it's a little long winded). However, I believe that both of you (Charles and anon) are interested in writing a good article without trying to own the page. So can we agree not to revert edits without discussing it here first? My suggestions for improvement: 
 * Can we discuss what material from the proposed merge needs to be included?  
 * Some emphasis needs to placed on the different conventions used to define Euler angles. I think I have seen as many conventions as I have seen authors. Emphasizing this will help prevent future errors. 
 * This article definitely needs section titles for readability and organization. I suggest 
 :#Definition 
 :#Conventions 
 :#Applications for rigid bodies, quantum mechanics, Lie groups, etc. 
 :#Alternate methods of representing rotations to include mention of SO(3), quaternions, etc. 
 *It wouldn't hurt to include some mention the applications in the introductory paragraph (before the Definition section). 
   21:24, 2005 Feb 18 (UTC)