Geometry by Its Transformations
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Geometry by Its Transformations
Lessons Centered on the History from 1800-1855
Baltus, Christopher
Birkhauser Verlag AG
01/2025
185
Mole
9783031722806
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Introduction.- 1. Greek Background.- 2. The Dilation Transformation.- 3. Institutional Transformation of Geometry: France.- 4. Affinity and the List of Transformations by Moebius.- 5. Background for Homology: the Common Secant, the Cross-Ratio, and Harmonic Sets.- 6. Plane-to-Plane Projection.- 7. Homology as developed by La Hire and Poncelet.- 8. Matrices and Homogeneous Coordinates.- 9. Projective Geometry: Steiner and von Staudt.- 10. Transformation in German Universities.- 11. Geometric Inversion.- 12. Moebius Transformation.- 13. Topic after 1855: Beltrami-Klein Model.- 14. Topic after 1855: Isometries and Dilations in French Schoolbooks.
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Projective geometry;Transformations;Synthetic geometry;Euclidean geometry;History of geometry
Introduction.- 1. Greek Background.- 2. The Dilation Transformation.- 3. Institutional Transformation of Geometry: France.- 4. Affinity and the List of Transformations by Moebius.- 5. Background for Homology: the Common Secant, the Cross-Ratio, and Harmonic Sets.- 6. Plane-to-Plane Projection.- 7. Homology as developed by La Hire and Poncelet.- 8. Matrices and Homogeneous Coordinates.- 9. Projective Geometry: Steiner and von Staudt.- 10. Transformation in German Universities.- 11. Geometric Inversion.- 12. Moebius Transformation.- 13. Topic after 1855: Beltrami-Klein Model.- 14. Topic after 1855: Isometries and Dilations in French Schoolbooks.
Este título pertence ao(s) assunto(s) indicados(s). Para ver outros títulos clique no assunto desejado.
