Ein “affiner” Beweis des Satzes von v. Staudt—Schleiermacher |
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Authors: | Rudolf Fritsch |
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Institution: | (1) Fachbereich Mathematik, Universität Konstanz, Postfach 7733, D-7750 Konstanz, Bundesrepublik Deutschland |
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Abstract: | The Theorem ofv. Staudt-Schleiermacher asserts that a projective incidence plane is pappian if every projectivity with 5 fixed points is the identity.Schleiermacher's original proof needs different treatments for a lot of cases. We give a simpler proof based on the fact that Desargues' and Pappos' theorems hold in a projective plane if this is true for some affine specializations.
Mit 8 Abbildungen |
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