2011

Perspectives on Projective Geometry

A Guided Tour Through Real and Complex Geometry

Authors:

ISBN: 978-3-642-17285-4 (Print) 978-3-642-17286-1 (Online)

Table of contents (27 chapters)

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  1. Front Matter

    Pages i-xxii

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    Book Chapter

    Pages 3-31

    Pappos’s Theorem: Nine Proofs and Three Variations

  3. Projective Geometry

    1. Front Matter

      Pages 33-33

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      Book Chapter

      Pages 35-46

      Projective Planes

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      Book Chapter

      Pages 47-66

      Homogeneous Coordinates

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      Book Chapter

      Pages 67-78

      Lines and Cross-Ratios

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      Book Chapter

      Pages 79-92

      Calculating with Points on Lines

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      Book Chapter

      Pages 93-107

      Determinants

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      Book Chapter

      Pages 109-123

      More on Bracket Algebra

  4. Working and Playing with Geometry

    1. Front Matter

      Pages 125-127

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      Book Chapter

      Pages 129-143

      Quadrilateral Sets and Liftings

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      Book Chapter

      Pages 145-166

      Conics and Their Duals

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      Book Chapter

      Pages 167-187

      Conics and Perspectivity

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      Book Chapter

      Pages 189-207

      Calculating with Conics

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      Book Chapter

      Pages 209-225

      Projective d-space

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      Book Chapter

      Pages 227-246

      Diagram Techniques

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      Book Chapter

      Pages 247-267

      Working with diagrams

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      Book Chapter

      Pages 269-292

      Configurations, Theorems, and Bracket Expressions

  5. Measurements

    1. Front Matter

      Pages 293-296

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      Book Chapter

      Pages 297-309

      Complex Numbers: A Primer

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      Book Chapter

      Pages 311-327

      The Complex Projective Line

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      Book Chapter

      Pages 329-347

      Euclidean Geometry

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      Book Chapter

      Pages 349-373

      Euclidean Structures from a Projective Perspective

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      Book Chapter

      Pages 375-398

      Cayley-Klein Geometries

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