Difference between revisions of "1973 IMO Problems/Problem 2"

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== See Also == {{IMO box|year=1973|num-b=1|num-a=3}}
 
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[[Category:Olympiad Geometry Problems]]
 
[[Category:3D Geometry Problems]]
 
[[Category:3D Geometry Problems]]

Revision as of 15:47, 29 January 2021

Problem

Determine whether or not there exists a finite set $M$ of points in space not lying in the same plane such that, for any two points A and $B$ of $M$; one can select two other points $C$ and $D$ of $M$ so that lines $AB$ and $CD$ are parallel and not coincident.

Solution

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See Also

1973 IMO (Problems) • Resources
Preceded by
Problem 1
1 2 3 4 5 6 Followed by
Problem 3
All IMO Problems and Solutions