J Austral Math Soc Ser A 54 pp61--69, 1993.

On Pascal Ovals

Olga Fernandes

(Received 29 November 1990)

Abstract

In this paper we prove that if an oval in a finite projective plane of order n º 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 with the three point and four point Pascal properties.

1991 AMS Subject Classification: primary 51E15; secondary 51A25

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Authors

Olga Fernandes: 110 St. Patrick's Town, Sholapur Road, Poona 411013, India.

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