This pdf is a geometrical demonstration and explanation of several features of finite and infinite curvature.
I came up with this argument to help my section get past a particularly difficult part of Newton. After briefly presenting it in class, Dr. Wodzinski asked for a written copy for his own edification and to help the tutors understand the material. What you see here is the full-blown version (complete with to-scale diagrams). Reading this is now (part of) how several tutors prepare for class.
noun | au·thor | \ ˈȯ-thər \