I always thought that these terms referred to how many actions, or steps in the firing process, a shooter could perform with one trigger pull. In other words, a "single action" trigger could only do one thing--drop the hammer. Conversely, a double action trigger could do two things--cock the hammer and release it.
Imagine my surprise when I was reading Jeff Coopers' "Fighting Handguns." In his double action chapter he says that under the strict sense of the definitions, these terms refer to how many ways the gun can be fired. To wit, a "single action" could only be fired one way--by cocking the hammer (e.g. the Colt Peacemaker), and a "double action" could be fired either by either choosing to cock the hammer first or not. Interestingly enough, if you take Lt Col Cooper's definitions to heart, what we call a DAO is actually a "single action" because it can only be fired one way.
I realize the language changes over time, and this book was written many moons ago. I was just curious if any of you could fill in how these terms have changed over the intervening years.
Thanks,
Herk