On the Number of Ordinary Lines Determined by n Points
- 1 January 1958
- journal article
- Published by Canadian Mathematical Society in Canadian Journal of Mathematics
- Vol. 10, 210-219
- https://doi.org/10.4153/cjm-1958-024-6
Abstract
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.Keywords
This publication has 2 references indexed in Scilit:
- The lines and planes connecting the points of a finite setTransactions of the American Mathematical Society, 1951
- 4065The American Mathematical Monthly, 1944