Is the public domain the same as Europe?

In terms of intellectual property "public domain" refers to items that have no restrictions of use due to expiration of legal controls (patents, trademarks, copyright)

Pubic domain occurs naturally when a copyright expires. In theory, a copyright owner can intentionally disclaim any power to enforce a copyright, making it as if it were "public domain".

No. Eastern Europe is the eastern part of Europe, including countries like Belarus, Ukraine, Poland, Romania and the western portions of Russia. Western Europe is the western part of Europe,...

Yes the bible is a public domain book & can be freely quoted.

If you are referring to Ayn Rand's short novel Anthem, yes -- it is part of public domain.