Zur Darstellung Miquelscher Möbiusräume

In this paper we prove the following theorem (shown by J.TITS [7] in the case of finite dimension): LetO be a set of at least 2 points of a projective space of dimension 2 and suppose that the intersections ofO and the planes of are either empty or one point sets or Pascalian ovals. ThenO is an ellipsoid (nondegenerate quadric of index 1). As a corollary we obtain that every Miquelian Möbius-space is the geometry of the plane sections of an ellipsoid.