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The Projective Space

  • Karl Menger
Chapter
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Abstract

The most striking feature of projective geometry is the principle of duality: If in a proposition about the projective space (the projective plane) we interchange points and planes (points and lines) we obtain a valid proposition. It thus seems natural to ask for a self-dual foundation of the theories in the sense that for every postulate the above interchange leads to another postulate, if not to the same proposition.

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Copyright information

© Springer-Verlag Wien 2002

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  • Karl Menger

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