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The notebook is all about the web. Everything you can do at the terminal, you can do in the notebook. And _vice versa_. Some things, are just more nicely shared via a notebook. See http://nbviewer.ipython.org/ (not Sage, but close enough).
Other good reasons to use notebooks :
- teaching,
- making computations in the cloud, see https://cloud.sagemath.com
- e-research, see https://www.authorea.com/users/3/articles/3434
- the list goes on.
Personally, I always use the terminal for personal or one shot computations, and Sage inside an IPython notebook for collaborating and sharing.
