I always thought there were three types of dragons: Winged Fire-drakes (like Ancalagon), Non-winged fire-drakes (like Glaurung) and Cold-drakes (like the one that killed Dáin I) and that Smaug was the last of the first variety (I'm certain that that last fact is in the books somewhere). I heard somewhere that Scátha was a cold-drake and didn't have wings, but I have no evidence for that.
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