Back to home

Solutions to Divine Proportions: Rational Trigonometry to Universal Geometry

Please click on relevant link to download .pdf solutions to questions from Prof. Wildberger's book. Please email me to report errors/typos and/or ask any questions about the solutions.

Chapter 1: Overview

Chapter 2: Background

Chapter 3: Cartesian coordinate geometry

Chapter 4: Reflections

Chapter 5: Quadrance

Exercises 5.1 to 5.6

Exercises 5.7 to 5.12

Exercises 5.13 to 5.19

Chapter 6: Spread

Exercises 6.1 to 6.7

Chapter 7: Triple spread formula

Exercises 7.1 to 7.6

Exercises 7.7 to 7.12

Exercises 7.13 to 7.15

Chapter 8: Spread polynomials

Chapter 9: Oriented triangles and turns

Chapter 10: Triangles

Chapter 11: Laws of proportion

Chapter 12: Centers of triangles

Chapter 13: Isometries

Chapter 14: Regular stars and polygons

Chapter 15: Conics

Chapter 16: Geometry of circles

Chapter 17: Quadrilaterals

Exercises 17.1 to 17.6

Chapter 18: Euler line and nine point circle

Chapter 19: Tangent lines and tangent conics

Chapter 20: Triangle spread rules

Chapter 21: Two dimensional problems

There are no exercises in this chapter.

Chapter 22: Three dimensional problems

Chapter 23: Physics applications

There are no exercises in this chapter.

Chapter 24: Surveying

Chapter 25: Resection and Hansen's problem

Chapter 26: Platonic solids

Chapter 27: Rational spherical coordinates

Last updated: 8 December 2024