A Three Legged Stool Will Not Rock

A three legged stool is guaranteed not to wobble because the ends of its legs always form a plane more important for practical purposes such a stool is less stable than one with more legs in the sense that its center of gravity is further inside its base. They could be a conversation starter for your. Explain why or.

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Many four legged stools wobble.

A three legged stool will not rock.

The four legged stool rocks when the three legged does not. A three legged stool will not rock even if the legs are of different lengths. Three points are the minimum required to define a geometric plane. Suppose that each stool is placed on a flat surface that is slightly sloped.

The more sides a regular polygon has the greater its apothem the distance from the. Not all stools are created equal and these three legged stools are a little bit different. The three legs that do reach the floor will hold the stool so the other. Do you expect either of the stools to rock side to side.

However assuming the stool legs are even the four legged stool will rock because one of the legs will not reach the floor. We re learning about planes ways to determine a plane the postulate and 3 theorems along with it and two postulates concerning lines and planes. Any 3 legged stool then can only exist on a single plane and cannot alternate between any two planes i e rock. The three legged stool is an old phrase that many financial planners once used to describe the three most common sources of retirement income.

Social security employee pensions and. Our three legged stools come in different sizes and colors and are amazingly comfortable in many circumstances. I m stuck on a math problem here. They are sturdy and well made.

Even if the legs are not the same length the three feet of the legs are on one plane b. Find three legged stool. The three points determine a plane.

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