Eine Bemerkung zu einem Satz von Sylvester. (German) Zbl 0561.51005
An example of a projective plane is given, that cannot be ordered, but fulfills the following Sylvester condition: If M is a finite set of not collinear points, then there is at least one line containing exactly two points of M.
MSC:
| 51A35 | Non-Desarguesian affine and projective planes |
Keywords:
Sylvester conditionReferences:
| [1] | H. S. M. Coxeter, Unvergängliche Geometrie. Basel 1963. |
| [2] | G. Pickert, Projektive Ebenen. 2. Auflage. Berlin, Heidelberg, New York 1975. · Zbl 0307.50001 |
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