A generalization of the theorem of Sylvester

Authors:
Fritz Herzog and L. M. Kelly

Journal:
Proc. Amer. Math. Soc. **11** (1960), 327-331

MSC:
Primary 54.00; Secondary 50.00

DOI:
https://doi.org/10.1090/S0002-9939-1960-0113206-0

MathSciNet review:
0113206

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References | Similar Articles | Additional Information

**[1]**H. S. M. Coxeter,*A problem of collinear points*, Amer. Math. Monthly vol. 55 (1948) pp. 26-28.**[2]**G. A. Dirac,*Collinearity properties of sets of points*, Quart. J. Math. vol. 2 (1951) pp. 221-227.**[3]**B. Grünbaum,*A generalization of a problem of Sylvester*, Riveon Lematematika, 1956.**[4]**H. Hanani,*On the number of lines determined by points*, Technion. Israel Inst. Tech. Sci. Publ. vol. 6 (1954-1955) pp. 58-63.**[5]**L. M. Kelly and W. O. J. Moser,*On the number of ordinary lines determined by points*, Canad. J. Math. vol. 10 (1958) pp. 210-219.**[6]**Th. Motzkin,*The lines and planes connecting the points of a finite set*, Trans. Amer. Math. Soc. vol. 70 (1951) pp. 451-464.

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DOI:
https://doi.org/10.1090/S0002-9939-1960-0113206-0

Article copyright:
© Copyright 1960
American Mathematical Society