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
1982-01-01
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.File in questo prodotto:
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