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i have narrow flat curved stool
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
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 yard or could be a stool, an easel.
only if the legs are separated equally.