Contraction of a Line Segment Using Average Point

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The discussion centers on the concept of contracting a line segment using an average point, M. It highlights the paradox that a segment, composed of infinitely many points, cannot be contracted to M without losing its infinite nature. Participants express confusion over terms like "average point," "cut," and "contract," questioning the feasibility of adding points at a single point. The conversation reveals a misunderstanding of geometric principles, particularly regarding the nature of points and segments. Ultimately, the thread emphasizes the complexities in discussing mathematical concepts related to infinite points and contraction.
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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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