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Perspectives on Projective Geometry

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Cover of 'Perspectives on Projective Geometry'

Table of Contents

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    Book Overview
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    Chapter 1 Pappos’s Theorem: Nine Proofs and Three Variations
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    Chapter 2 Projective Planes
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    Chapter 3 Homogeneous Coordinates
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    Chapter 4 Lines and Cross-Ratios
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    Chapter 5 Calculating with Points on Lines
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    Chapter 6 Determinants
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    Chapter 7 More on Bracket Algebra
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    Chapter 8 Quadrilateral Sets and Liftings
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    Chapter 9 Conics and Their Duals
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    Chapter 10 Conics and Perspectivity
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    Chapter 11 Calculating with Conics
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    Chapter 12 Projective d -space
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    Chapter 13 Diagram Techniques
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    Chapter 14 Working with diagrams
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    Chapter 15 Configurations, Theorems, and Bracket Expressions
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    Chapter 16 Complex Numbers: A Primer
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    Chapter 17 The Complex Projective Line
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    Chapter 18 Euclidean Geometry
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    Chapter 19 Euclidean Structures from a Projective Perspective
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    Chapter 20 Cayley-Klein Geometries
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    Chapter 21 Measurements and Transformations
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    Chapter 22 Cayley-Klein Geometries at Work
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    Chapter 23 Circles and Cycles
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    Chapter 24 Non-Euclidean Geometry: A Historical Interlude
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    Chapter 25 Hyperbolic Geometry
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    Chapter 26 Selected Topics in Hyperbolic Geometry
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    Chapter 27 What We Did Not Touch
Attention for Chapter 8: Quadrilateral Sets and Liftings
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Chapter title
Quadrilateral Sets and Liftings
Chapter number 8
Book title
Perspectives on Projective Geometry
Published by
Springer, Berlin, Heidelberg, January 2011
DOI 10.1007/978-3-642-17286-1_8
Book ISBNs
978-3-64-217285-4, 978-3-64-217286-1
Authors

Jürgen Richter-Gebert