• 1 Basic Constructions with Ruler and Compass ▶
    • 1.1 Defining lines, circles and the set of constructable points
    • 1.2 Properties of Lines
    • 1.3 The set of constructable points
    • 1.4 Basic constructions
  • 2 Field of constructable Numbers ▶
    • 2.1 Filed of Constructable Numbers ▶
      • quadratic closed
      • Conjugate closed
    • 2.2 K zero
    • 2.3 Classification of Constructable Numbers
  • 3 Ancient Construction Problems ▶
    • 3.1 Doubling the cube
    • 3.2 Trisection of an angle
  • 4 Bibliography
  • Dependency graph

Formalisation-of-constructable-numbers

Ludwig Monnerjahn

  • 1 Basic Constructions with Ruler and Compass
    • 1.1 Defining lines, circles and the set of constructable points
    • 1.2 Properties of Lines
    • 1.3 The set of constructable points
    • 1.4 Basic constructions
  • 2 Field of constructable Numbers
    • 2.1 Filed of Constructable Numbers
      • quadratic closed
      • Conjugate closed
    • 2.2 K zero
    • 2.3 Classification of Constructable Numbers
  • 3 Ancient Construction Problems
    • 3.1 Doubling the cube
    • 3.2 Trisection of an angle
  • 4 Bibliography