Thanks, Bill, for the referral to the Bob Vila site (altho I'm still pretty angry at Bob for selling his soul to Sears for thirty pieces of silver, in violation of his contract with public television). At the site, it says: "The coping saw and its cousin the fretsaw perform other tasks, too, as both are designed to cut along most any curve at a range of angles." A fretsaw is, apparently, "A long, narrow-bladed saw with fine teeth, used in making curved cuts in thin wood or metal."

This leads one inexorably to the conclusion that if you can't cope, you should fret.