Contraction of a Line Segment Using Average Point

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Discussion Overview

The discussion revolves around the concept of contracting a line segment using an average point, exploring the implications of adding points to this average point and the nature of segments composed of infinite points. The scope includes conceptual clarification and technical reasoning regarding the definitions and properties of points and segments.

Discussion Character

  • Conceptual clarification, Debate/contested

Main Points Raised

  • One participant suggests that contracting a segment by removing points from its endpoints leads to an infinite number of points remaining, making it impossible to contract the segment to the average point.
  • Another participant argues that if the points P and O are located at the average point M, the segment has zero length, which contradicts the idea of having an infinite number of points.
  • Several participants express confusion regarding the terminology used, specifically terms like "average point," "cut," "contract," and "infinitive," indicating a lack of clarity in the original post.
  • One participant questions the concept of "adding points" to a point, highlighting a potential misunderstanding of the mathematical properties involved.

Areas of Agreement / Disagreement

Participants generally express confusion and seek clarification on the concepts presented. There is no consensus on the definitions or implications of the terms used, and multiple interpretations of the original post remain unresolved.

Contextual Notes

Limitations include unclear definitions of key terms and the assumptions underlying the discussion about points and segments. The discussion does not resolve the mathematical implications of contracting segments or the nature of points involved.

matteo16
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if we consider a segment of course it's composed by infinitive points
i want to contract it and i know the avarage point M
if i contract the segment cutting each time one point from the terminal points i will always have infinitive points and so i can't contract the segment until the avarage point
wathever is the length
but if i have only the avarage point and i add twe points(P and O) at the avarage point
then cutting those points i will have only the avarage point even if i have the segment PO(because a segment is always composed by an infinitive number of points)


i don't understend
 
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but if i have only the avarage point and i add twe points(P and O) at the avarage point

If P and O are at M, the segment is of zero length. A segment will have an infinite number of points only if its length is greater than zero.
 
matteo16 said:
i don't understend


Neither do I. What do you mean by the following terms:

average point
cut
contract
add two points at the average point
infinitive
 
matt grime said:
Neither do I. What do you mean by the following terms:

average point
cut
contract
add two points at the average point
infinitive

sorry I'm not englesh
 
It's not the English that's the problem. What could you possibly mean by "adding points" to a point?
 

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