How the rule works
The third cell in every row is the first two laid on top of each other. Everything found in either of them is found in the third. The rule applies to lines along the edge, filled sectors in a wheel and arrows from the centre, and it holds in the columns too.
What separates it from patterns cancelling out is what happens to the parts present in both cells: here they are kept. Once you have decided which of the two applies, you have in practice solved the task.