MHB Proving Shortest Distance Between 3 Points on a Circle

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The discussion revolves around proving that the shortest distance between any two points on the perimeter of a circle is less than the distance that includes a third point. The original poster seeks clarification on whether this pertains to distances along the circumference or straight segments connecting the points. Participants suggest that a diagram could help clarify the question, but confusion remains about the exact nature of the inquiry. One response indicates that the distance between the points could range from 0 to the diameter of the circle. The conversation highlights the need for clearer definitions to address the mathematical proof effectively.
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I have 3 point on a perimeter of circle.
How I prove/show between every the two point of them there is always short way that the way between the other points?
 
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Re: question

roni said:
I have 3 point on a perimeter of circle.
How I prove/show between every the two point of them there is always short way that the way between the other points?

Are you talking about the distance along the circumference of the circle?
 
Re: question

I mean to segments between the 3 points.
 
Re: question

roni said:
I mean to segments between the 3 points.

Can you provide a diagram illustrating what you're trying to do?
 
Re: question

The answer:
The distance be between 0 to D.
D = diameter.
Am I right?
 
Re: question

roni said:
The answer:
The distance be between 0 to D.
D = diameter.
Am I right?
As it seems that we don't know what the question is asking I don't think anyone can tell you if that's right or not.

-Dan
 

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