About this document
Ruler and Compass Constructions Explained by Benjamin Cole is a document available to read on EtoBox.
Chapter 12 discusses ruler and compass constructions in geometry, focusing on the limitations established by ancient Greek mathematicians, particularly Euclid. It outlines three classical problems—squaring the circle, doubling the cube, and trisecting an angle—that were proven impossible using field theory. The chapter also covers the construction of regular polygons and introduces Fermat primes, concluding with the conditions under which regular n-gons are constructible.
- Author
- Benjamin Cole
- Language
- EN