Proving Shortest Distance Between 3 Points on a Circle

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Discussion Overview

The discussion revolves around proving the shortest distance between three points located on the perimeter of a circle. Participants explore the nature of distances between these points, considering both segments and distances along the circumference.

Discussion Character

  • Exploratory, Conceptual clarification, Debate/contested

Main Points Raised

  • One participant asks how to demonstrate that the distance between any two of the three points is always shorter than the distance that includes the third point.
  • Another participant seeks clarification on whether the discussion pertains to distances along the circumference of the circle.
  • A later reply specifies that the focus is on the segments connecting the three points.
  • One participant suggests that the distance can range from 0 to the diameter of the circle, denoted as D, but questions whether this assertion is correct.
  • A subsequent reply indicates uncertainty about the original question, suggesting that clarity is needed before determining the correctness of the proposed distance range.

Areas of Agreement / Disagreement

Participants express uncertainty regarding the original question and its implications, indicating that multiple interpretations exist without a clear consensus on the matter.

Contextual Notes

The discussion lacks clarity on the specific question being asked, which may affect the understanding of the proposed distance relationships. There are also unresolved assumptions regarding the definitions of distance and segments in this context.

roni1
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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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