Strictly speaking "equivocation" isn't direct lying, it's misleading someone into thinking you have said one thing, when you have actually avoided saying it. "Use ambiguous words to conceal the truth" is how my dictionary defines the term.

Politicians do it all the time - Clinton's "I did not have sexual relations with that women" was a classic case, because he was relying on a definition of "sexual relations" which was a lot narrower than that normally understood by the words.