Oval (projective plane)
In projective geometry an oval is a circle-like pointset (curve) in a plane that is defined by incidence propertes. The standard examples are the nondegenerate conics. However, a conic is only defined in a pappian plane, whereas an oval may exist in any type of projective plane. In the literature, there are many criteria which imply that an oval is a conic, but there are many examples, both infinite and finite, of ovals in pappian planes which are not conics. The higher dimensional analog of an oval is an ovoid in a projective space.
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Oval (projective plane)
In projective geometry an oval is a circle-like pointset (curve) in a plane that is defined by incidence propertes. The standard examples are the nondegenerate conics. However, a conic is only defined in a pappian plane, whereas an oval may exist in any type of projective plane. In the literature, there are many criteria which imply that an oval is a conic, but there are many examples, both infinite and finite, of ovals in pappian planes which are not conics. The higher dimensional analog of an oval is an ovoid in a projective space.
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Ein Oval ist in der projektive ...... s Ovoid in projektiven Räumen.
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In projective geometry an oval ...... t lie in any projective plane.
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Ein Oval ist in der projektive ...... und das Oval ein Kegelschnitt.
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In projective geometry an oval ...... n ovoid in a projective space.
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Oval (Projektive Geometrie)
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Oval (projective plane)
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