On Pascal ovals

Abstract

AbstractIn 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.