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On H. Simpson's six-conic theorem

Published online by Cambridge University Press:  09 April 2009

R. H. F. Denniston
R. H. F. Denniston
Affiliation:
The University College, Ibadan, and the University of Canterbury, (N.Z.)
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H. Simpson [1] has proved a theorem about six points P1,…,P6 (no three in line, not all on a conic) of the real projective plane. He calls P1 an “in-point” or an “out-point”, according as it lies inside or outside the conic (denoted by a Roman figure I) through the other five points; and so on. The theorem is that there are either two, three, or six in-points.

Type
Research Article
Information
Journal of the Australian Mathematical Society , Volume 3 , Issue 4 , November 1963 , pp. 454 - 455
Copyright
Copyright © Australian Mathematical Society 1963

References

[1]Simpson, H., On F. Supnick's Six-Conic Theorem, Proc. Amer. Math. Soc., Vol. 12 (1961), p. 931.Google Scholar
[2]Segre, B., The Non-Singular Cubic Surfaces, Oxford, Clarendon Press (1942), p. 48, subsection (i).Google Scholar