This curious little book is basically a hitchhiker's guide to Book I of Euclid's Elements. We travel through each of the forty-eight Propositions-more or less in order-and see how each one generalizes-or does not generalize-to hyperbolic and other non-Euclidean spaces. Few people seem to realize that Einstein's special theory of relativity is a model of hyperbolic geometry. The connection between Minkowski geometry and special relativity is well-known, while the connection between hyperbolic geometry and special relativity ...

On Beyond Euclid 2006,, Morrisville

ISBN-13: 9781411673359

Trade paperback