SOLUTION: If A, B, and C are three points on a circle, can you say which point is between the other two?

Question 1186312: If A, B, and C are three points on a circle, can you say which point is between the other two?
Found 2 solutions by ikleyn, greenestamps:
Answer by ikleyn(52805)   (Show Source): You can put this solution on YOUR website!
.

        Good question ( ! )

The answer is:     ANY POINT of this triple IS BETWEEN OTHER TWO.

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It is the property which makes a FUNDAMENTAL DIFFERENCE between a circle and a straight line in a plane !

It is why a circle and a straight line in a plane are topologically different (!)

Answer by greenestamps(13200)   (Show Source): You can put this solution on YOUR website!

The answer from the other tutor is correct, if "between" for points on a circle means moving along the circle.

However, the usual definition of "between" for three points is that the three points lie on a straight line.

With that definition of "between", there are no three points on any circle with one of the points between the other two, because no straight line intersects any circle in three places.

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