Geometry by Its History

Authors:

ISBN: 978-3-642-29162-3 (Print) 978-3-642-29163-0 (Online)

Table of contents (12 chapters)

  1. Front Matter

    Pages i-xii

  2. Classical Geometry

    1. Front Matter

      Pages 1-2

    2. No Access

      Book Chapter

      Pages 3-26

      Thales and Pythagoras

    3. No Access

      Book Chapter

      Pages 27-59

      The Elements of Euclid

    4. No Access

      Book Chapter

      Pages 61-78

      Conic Sections

    5. No Access

      Book Chapter

      Pages 79-112

      Further Results in Euclidean Geometry

    6. No Access

      Book Chapter

      Pages 113-155

      Trigonometry

  3. Analytic Geometry

    1. Front Matter

      Pages 157-158

    2. No Access

      Book Chapter

      Pages 159-184

      Descartes’ Geometry

    3. No Access

      Book Chapter

      Pages 185-240

      Cartesian Coordinates

    4. No Access

      Book Chapter

      Pages 241-257

      To be Constructible, or not to be

    5. No Access

      Book Chapter

      Pages 259-290

      Spatial Geometry and Vector Algebra

    6. No Access

      Book Chapter

      Pages 291-317

      Matrices and Linear Mappings

    7. No Access

      Book Chapter

      Pages 319-344

      Projective Geometry

    8. No Access

      Book Chapter

      Pages 345-401

      Solutions to the Exercises

  4. Back Matter

    Pages 403-437