Let M be a Minkowski (incidence) plane and let Π(M) be the group of so-called`free' projectivities of M. Then M is Miquelian if Π(M) satisfies condition (P_5), i.e., every free projectivity with 5 fixed points is the indentity. But first a lemma is proved, which holds also in Möbius and Laguerre (incidence) planes: If Π(M) satisfies (P_5), then every affine derivation of M is Pappian.

Der Satz von v. Staudt-Schleiermacher in Minkowski-Ebenen

FUNK, Martin
1982

Abstract

Let M be a Minkowski (incidence) plane and let Π(M) be the group of so-called`free' projectivities of M. Then M is Miquelian if Π(M) satisfies condition (P_5), i.e., every free projectivity with 5 fixed points is the indentity. But first a lemma is proved, which holds also in Möbius and Laguerre (incidence) planes: If Π(M) satisfies (P_5), then every affine derivation of M is Pappian.
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Utilizza questo identificativo per citare o creare un link a questo documento: http://hdl.handle.net/11563/429
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