I never said they didn't shoot down any. Obviously they knocked down several, what I said was, if they were all well trained at air to air gunnery (obviously not everyone can be John Thach) the BoB would have been much shorter because they would have knocked down more German fighters and bombers at a quicker pace.I have seen the diagrame so I know what you are discussing and that is my point. It is a strange argument to say the RAF didnt shoot down either bombers or fighters, because they obviously did. You will not get a bomber to explode in flames with rifle calibre bullets unless you are lucky. The fact is the L/W gave up because they were losing too many fighters and bombers, at the end down to 200 serviceable bombers. You can argue that the RAF could have done things better and they would agree, but you simply cannot argue that they weren't shooting down bombers and fighters, they were at a rate the LW couldn't sustain.
I agree that obviously they could have done better, obviously so could the USA (the torpedo thing again, nothing to compete with the Spitfire, 109 or Zero at the beginning...etc etc)