Just to clarify that enormous mess about HS and 151...
Lets suppose this data is correct:
MG 151/20 20mm 115 grams 710 m/s
MG 151/20 20mm 92 grams 800 m/s
HS Mk.II 20mm 130 grams 880 m/s
We have the diameter, mass and initial speed of each projectile. Now suppose the firing plane is cruising at 250 mph. And Now we only need an engineer to calculate and post here the vertical possition of the bullets at 100, 200, 300, 400, 500, 600, 700, 800, 900 and 1000 yards relative to the flight path of the plane. For this example, we'll suppose the guns are perfectly aligned with the horizontal flight path of the fighter (no convergence at all and no lateral deviation).
If someone is so kind to do those calculations, please, post also the math formulae.