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On the Number of Ordinary Lines Determined by n Points

Published online by Cambridge University Press:  20 November 2018

L. M. Kelly  and
W. O. J. Moser
L. M. Kelly
Affiliation:
Michigan State University
W. O. J. Moser
Affiliation:
University of Saskatchewan
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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.

Type
Research Article
Information
Canadian Journal of Mathematics , Volume 10 , 1958 , pp. 210 - 219
Copyright
Copyright © Canadian Mathematical Society 1958

References

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