More than sixty years ago, Sylvester (13) proposed the following problem: Let
n given points have the property that the straight line joining any two of them
passes through a third point of the set. Must the n points all lie on one
line?
An alleged solution (not by Sylvester) advanced at the time proved to be
fallacious and the problem remained unsolved until about 1933 when it was revived
by Erdös (7) and others.
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