The U.S. Patent & Trademark Office (USPTO) Patent Database includes full text of patents from 1790 - present and also provides TIFF images of most of them.
By Patent Number
By Subject
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You can use the same method of searching in other patent databases on the web. See the Patent Websites tab in this guide for more databases.
See this excellent tutorial from the US Patent and Trademark Office on the patent search process.
This is a helpful guide from the USPTO which uses their 7 Step Strategy with new CPC code system.
The European Patent Office maintains a free database of worldwide patents (including U.S. patents) called Espacenet. Images of patents are provided in PDF format, but can only be printed one page at a time.
By Patent Number
By Subject
Espacenet Tutorial - How to search esp@cenet, the European Patent Office's online patent database
See the Patent Websites tab for additional international patent databases.
Chemical Abstracts Service (CAS) indexes chemical patents from approximately 25 countries and patent organizations. UC San Diego affiliates may search the online CAS database, SciFinder. It does require a one-time registration (links below).
You can find patents by search on references or reactions, then browsing the results or filtering to see only patents. Along with linking out to patents, you can also use the PatentPak viewer to view the patents with the chemistry content highlighted.