I think it's "Bembo", need confirmation.
Thank you for the help.
Edited on Feb 02, 2015 at 17:24 by maxime77
Identified font
Classical Garamond Suggested by estabros 
Suggested font
Sabon Suggested by koeiekat 
I've been comparing for like 10min the different letters of the book with the Classical Garamond, and that's exactly this one. Thank you!
Or the Sabon. A and 5 say no to Bembo.
@koeiekat Thank you for your reply.
The "f" italic is like the Classic Garamond one (the bottom of the letter is cut), sorry it does not appear on the picture.
I'm assuming that the Classical Garamond is confirmed?
Here is an example of the italics, sorry if it's not very clear:
http://i.imgur.com/isHMK0S.jpg http://www.myfonts.com/fonts/bitstream/classical-garamond/
this is the text in the font classic garamound is exact to the text
With your new image we have a capital M, one of the few clear differences between the Classical Garamond and the Sabon.
Classical Garamond it is.
I think i've made mistake. When you said "Sabon", I actually compared with " Sabon next". Now that I've checked "Sabon", I can't really see the differences between C. Garamond and Sabon. You said about the "M" but I can't really see it:
http://www.myfonts.com/fonts/bitstream/classical-garamond/alternate_cuts.html Classical Garamond (Bitstream) superimposed.

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