The Danish Royal library (KB.dk) has announced a new pilot project, starting November 1, 2012, and lasting until the end of 2014.
Text in Danish: http://www.kb.dk/da/nb/samling/dod/index.html
Text in English: http://www.kb.dk/en/nb/samling/dod/index.html
My summary in English:
This is a partnership under the "EOD" (e-books on demand) framework, http://books2ebooks.eu/da
Danish books older than 1600 have already been fully digitized and can be downloaded as PDF from the REX library catalog, but only from Danish IP addresses.
Danish books 1600-1700 are currently being digitized and are being made available in the same way.
Danish books 1700-1900 can be digitized on demand, by links in the REX catalog, and are e-mailed as a PDF file to each customer. This service is made FREE OF CHARGE.
The Swedish Royal library (KB.se) also participates in the EOD program, but they charge 100 SEK per book plus 3 SEK per page, or 400 SEK ($65, €45) for a typical book of 300 pages.
The limitation to Danish IP addresses seems ridiculous to me. I have asked for the reason. I hope someone in Denmark can mass upload these PDF files to Wikimedia Commons.