Log In
Or create an account ->
Imperial Library
Home
About
News
Upload
Forum
Help
Login/SignUp
Index
Table of Contents
Introduction
Chapter 1: The Facts about Φ
1. 1 The Arithmetic Definition of Φ
1. 2 The Geometric Definition of Φ
1. 3 How to Cut a Line in Φ Proportion
1. 4 The 36/72/72 Triangle and the Regular Decagon
1. 5 The Regular Pentagon
1. 6 The Platonic Solids
1. 7 The Golden Rectangle
1. 8 The Regular Icosahedron
1. 9 The Regular Dodecahedron
1. 10 Modern-Day Arithmetic Properties of Φ
Chapter 2: The Myths about Φ
2. 1 The Divine Proportion
2. 2 Kepler’s Solar System
2. 3 The Fibonacci Numbers
2. 4 The Golden Spiral
2. 5 The Pyramids
2. 6 The Pythagorean Star
Chapter 3: Book XIII and Φ
3. 1 to 3.5 How Euclid Did Algebra Using Geometry
3. 6 to 3.12 How Euclid Handled Irrational Numbers
3. 13 to 3.15 Construction of the Tetrahedron, Octahedron, and Cube
3. 16 Construction of the Icosahedron
3. 17 Construction of the Dodecahedron
3. 18 Proof That There Can Be Only Five Platonic Solids
Conclusions
Bibliography
Appendix: Proof of the Pythagorean Theorem
← Prev
Back
Next →
← Prev
Back
Next →