1.26 recall that the weight of a body acts through its center of gravity

1.26 recall that the weight of a body acts through its centre of gravity

The centre of gravity of an object is the point where the whole weight appears to act. So if we support the centre of gravity of the object, the object wont fall no matter how wide it is. Because the moment of the all sides are balanced and there will be no clockwise or anti-clockwise movement.