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This is one of the most important sources of significant speeches. Published monthly since 1934, the full text of each issue of the publication is available, including 17,000+ speeches. Enter in a second search box a rhetor's name or the keywords for a topic in which you interested.
This two volume print set indexes thousands of speeches that have been published in over 400 book collections, through the year 1980. It is indexed by speaker, genre, and topic. An excellent source for older material. If we don't own the specific book collection you need, it is easily available to borrow through WorldCat.
One of the most comprehensive news databases in the world, ProQuest Global Newstream includes access to over 3000 news sources, including 2,200 newspapers, as well as blogs, podcasts, websites and news wire feeds worldwide.
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Use Proquest Newspapers or Lexis-Nexis to find the full text of speeches. The New York Times is often a good source for unabridged versions of speeches - it is included from the 1980s to the present in these two databases.
This is the official source for all presidential documents, including many, many speeches. Online texts are available from 1993 to the present. These documents are then compiled in the Public Papers of the Presidents.
The official compilation of presidential papers, based on the Weekly Complilation of Presidential Documents. The years 1991-2010 are now available online. See a librarian for more details concerning early volumes.