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``implementation of Alvaro's idea'' by Wkbj79 on 2007-06-07 02:02:53
> In my specific case, I would likely have to buy or borrow books. I only own a handful of math books which are sufficiently good and sufficiently widely available.

Steve (user sjm1979) has kindly lent me his copy of Euclidean and Non-Euclidean Geometries: Development and History (third edition) by Marvin Jay Greenberg. This was the textbook for my undergraduate courses in Euclidean and hyperbolic geometry, so I imagine that it is sufficiently widely available, and I know that it is sufficiently good.

I decided that I should start with this book instead of The Elements. To be honest, I feel that Ray (user rspuzio) would be more suitable to take on The Elements because he can read the Greek, whereas I cannot. On the other hand, I do not intend to "assign" this book to Ray. If he does not want to look through it and/or does not have the time, then hopefully someone else (including me) may take a look at it.

From the title of the book, it seems that I should be able to add or give suggestions for additions to PM with regards to the history and development of these geometries.

Sadly, the index does not have "metric" or "distance". I had hoped to be able to fill Chi's request for metrics in models of hyperbolic geometry by reading this book, but that might not be possible. If no one else fills the request, I will make sure to fill it at some point in time.

I will not be able to start posting (in a collaboration) on my findings in this book until Friday night at the earliest, as I have other fish to fry. (I plan on "attending" the conference call though.)

Warren
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