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It is a formation wider than it is deep. Therefore, a line rather than a column. "

No it isn't. By definition a line was thin enough for all ranks to bring their muskets to bear on the enemy. The formations depicted are not that thin. The proportion of depth to width is that of an assault column. It may conflict with the usage of the word 'column' in ordinary English, but the fact that is that an assault column was wider than it was deep. You can go to any resource on the subject and have this repeated to you ad nauseum.