infinite set of points with integral distances from each other
Source: Mathcenter Contest / Oly - Thai Forum 2009 R1 p3 https://artofproblemsolving.com/community/c3196914_mathcenter_contest
November 9, 2022
combinatoricscombinatorial geometrypoints
Problem Statement
Prove that for each points in the plane, no three collinear and having integral distances from each other. If we have an infinite set of points with integral distances from each other, then all points are collinear.(Anonymous314)PS. wording needs to be fixed , [url=http://www.mathcenter.net/forum/showthread.php?t=7288]source