The projective geometry of Mario Pieri: a legacy of Georg Karl Christian von Staudt

DOI10.1016/j.hm.2005.08.002zbMath1101.51002OpenAlexW1971592584MaRDI QIDQ2507650

Elena Anne Corie Marchisotto

Publication date: 5 October 2006

Published in: Historia Mathematica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.hm.2005.08.002

zbMATH Keywords

projective transformationcross ratioPappus's theoremMario Pierisynthetic projective geometryharmonic setGeorg Karl Christian von Staudtthe fundamental theorem of projective geometry

Mathematics Subject Classification ID

Biographies, obituaries, personalia, bibliographies (01A70) History of mathematics in the 19th century (01A55) General theory of linear incidence geometry and projective geometries (51A05) Research exposition (monographs, survey articles) pertaining to history and biography (01-02) Synthetic treatment of fundamental manifolds in projective geometries (Grassmannians, Veronesians and their generalizations) (51M35) Research exposition (monographs, survey articles) pertaining to geometry (51-02) Projective incidence groups (51J10)

Related Items (6)

Segre and the Foundations of Geometry: From Complex Projective Geometry to Dual Numbers ⋮ H.S.M. Coxeter's theory of accessibility: from Mario Pieri to Marvin Greenberg ⋮ The Axiomatic Destiny of the Theorems of Pappus and Desargues ⋮ The fundamental theorem of projective geometry: evolution of its proof between 1847 and 1900 ⋮ Commutativity and collinearity: a historical case study of the interconnection of mathematical ideas. Part II ⋮ CERTAIN MODERN IDEAS AND METHODS: “GEOMETRIC REALITY” IN THE MATHEMATICS OF CHARLOTTE ANGAS SCOTT

Cites Work

• The foundations of mathematics. A study in the philosophy of science
• On the origins of David Hilbert's Grundlagen der Geometrie
• Von Pasch zu Hilbert
• Mario Pieri and his contributions to geometry and foundations of mathematics
• The foundations of geometry and the history of geometry
• In the shadow of giants: The work of mario pieri in the foundations of mathematics
• Projective Geometry
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