Movie/book differences in the breaking of the Fellowship

I finished re-reading The Fellowship of the Ring last night, and will turn the page and keep straight on into The Two Towers, since this is the big heavy single-volume edition I'm reading. I was inspired to get out the Extended Edition DVD this morning and re-watch the ending scenes of FOTR to note the various subtle changes.

One thing I like about the movie version is the parting between Frodo and Aragorn at the breaking of the Fellowship. After having been rushed at by Boromir, it makes sen...