MathDB

6 points in the plane

Source: AMM 10308

March 29, 2009

combinatorics unsolvedcombinatorics

Problem Statement

Suppose that

p_1,p_2,p_3,q_1,q_2,q_3

are six points in the plane and that the distance between

p_i

and

q_j

( i,j \equal{} 1,2,3) is i \plus{} j. Show that the six points are collinear.