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On Pascal ovals
Published online by Cambridge University Press: 09 April 2009
Abstract
In this paper we prove that if an oval in a finite projective plane of order n ≡ 3 (mod 4) has the four point Pascal property and if each of its tangents and secants has the five point Pascal property, then the plane is Pappian and the oval is a conic.
We also establish results concerning Ostrom conics and ovals with the three point and four point Pascal properties.
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- Research Article
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- Copyright © Australian Mathematical Society 1993
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