The three-legged (triangular stance) design provides good stability against gravitational loads as well as horizontal shear forces, and better leverage for resisting tipping over due to lateral forces can be achieved by spreading the legs away from the vertical centre.
Are three legs better than four?
Three-legged tables have to be heavier than four-legged tables, however there is an advantage to having weight. 4-legged tables can be lighter, however lighter tables tend to be “flimsy”. If one accidentally bumps a light weight table, the drinks on the table tend to spill.
Why is a three legged stool more stable?
It is more stable than a four-legged stool and can sit stably on an uneven surface, as the ends of the three legs are always in the same geometric plane. ... Most stools have legs that are angled slightly outward. This creates friction in three opposing directions which adds to the stability.