Geometry — von Staudt’s Point of View

Inhaltsverzeichnis

• I: General Theory.
• Projectivities in Projective Planes.
• Perspectivities in Circle Geometries.
• Cross-ratios in Projective and Affine Planes.
• Cross Ratios and a Unifying Treatment of Von Staudt’s Notion of Reeller Zug.
• Projectivities in Free-like Geometries.
• Existentially Closed Projective Planes.
• II: Projectivities and Conics.
• Conicoids: Conic-like Figures in Non-Pappian Planes.
• Symmetries of Quadrics.
• III: Projectivities in Special Geometries.
• Some New Results on Groups of Projectivities.
• Theorems about Reidemeister Conditions.
• Permutation Groups with Few Fixed Points.
• Projectivities and the Topology of Lines.
• Projectivities and the Geometric Structure of Topological Planes.
• Semimodular Locally Projective Lattices of Rank 4 from v. Staudt’s Point of View.
• The Impact of Von Staudt’s Foundations of Geometry.
• Index of Subjects.