This is just saying that once "accuracy" is eliminated as an error factor then the only remaining error factor is precision. That's obviously true no matter how one defines accuracy or precision as long as one agrees they're not the same thing and that they are the two factors that determine where a bullet hits on the target."If you adjust the sights so that POA or a known position relative to POA is the center of the circle within which bullets fall, and you want the bullet to go where you aim the gun, then statistically the difference between where you wanted the bullet to go and where it actually goes will be (ignoring human error) the same as the precision of the shooting system."
It's worth pointing out that the statement is clearly still talking about accuracy as measure made from a group of shots (center of the circle within which bullets fall=center of the GROUP).
There is no center of a group if you want to talk about the error measured after a single shot is made. There is no "center of the circle within which bullets fall" because there's only one bullet to measure from.
And that's my point. If you want to talk about accuracy as a group measurement (error between the center of the group and the POA) then you can't also try to talk about it as a single shot error. It leads to ridiculous conclusions.
Ok, let's take an example. Let's say a person takes a single shot and exactly hits the POA. Is it because the gun is very accurate and precise and therefore the bullet hit exactly at the POA? Or is it because the gun is very inaccurate and imprecise and therefore although the imprecision resulted in the bullet hitting far from the normal POI the normal POI is also far from the POA in the opposite direction?They don't intertwine and they only overlap if a human adjusted the sights to make them overlap.
In the case of a single shot, accuracy and precision can not be separated. It takes a number of shots (groups) to be able to quantify and separate them.
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