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<p>which fulfills the incidence condition of <a href="page.php?w=Pascal_theorem">Pascal's theorem</a> or the 5-point degeneration of it, is a nondegenerate conic.<br/>
#If  is an oval in a pappian projective plane and the group of projectivities which leave  invariant is 3-transitive, i.e. for 2 triples   of points there exists a projectivity  with . In the finite case 2-transitive is sufficient.<br/>
# An oval  in a pappian projective plane of characteristic  is a conic if and only if for any point  of a tangent there is an involutory <a href="page.php?w=perspectivity">perspectivity</a></p><p>
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