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On the number of ordinary planes. (English) Zbl 0225.52006


MSC:

52C99 Discrete geometry
05B25 Combinatorial aspects of finite geometries
51D20 Combinatorial geometries and geometric closure systems
Full Text: DOI

References:

[1] Balomenos, R. H.; Bonnice, W. E.; Silverman, R. J., Extensions of Sylvester’s theorem, Canad. Math. Bull., 9, 1-14 (1966) · Zbl 0151.26605
[2] Hansen, S., A generalization of a theorem of Sylvester on the lines determined by a finite point set, Math. Scand., 16, 175-180 (1965) · Zbl 0156.19501
[3] Kelly, L. M.; Moser, W. O.J, On the number of ordinary lines determined by \(n\) points, Canad. J. Math., 10, 210-219 (1958) · Zbl 0081.15103
[4] Motzkin, T. S., The lines and planes connecting the points of a finite set, Trans. Amer. Math. Soc., 70, 451-464 (1951) · Zbl 0043.14603
[5] Veblen, O.; Young, J. W., (Projective Geometry, Vol. 2 (1918), Ginn: Ginn Boston) · JFM 41.0606.06
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