it isnt
It is not stronger. True, a 3-leg will not wobble because 3 points define a plane. However, a 3-legged table will tip over more easily than a 4-legged table. I suspect some science guru has done the physics on this and can prove what I say.
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A plane is defined by three points, so a three legged stool is stable because the points on the end of the stool's legs are coplanar
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Plane. (That's why a 3-legged stool never wobbles.)
Compared to a 3-legged stool it would. Consider the 3 or 4 points where the bottom of the legs make contact with the floor (which need not be even). Any three points are always in one plane so all points of contact for a 3-legged stool will always lie in the plane, thereby preventing rocking. Four points need not be coplanar and if they are not, the stool will rock.
A triangle is the strongest geometric figure It is not necessarily stronger but it will stand on the ground on all legs when the ground is uneven, unlike a table with more legs