Theory Of Parallels

The book Theory of Parallels: The Proof of Euclid's Axiom Looked for in the Properties of the Equiangular Spiral by T. Perronet Thompson explores the concept of parallel lines in mathematics. The author seeks to prove Euclid's axiom which states that parallel lines never meet by examining the properties of the equiangular spiral. The book delves into the history of parallel lines and the various attempts made to prove this axiom as well as the properties of the equiangular spiral and how it relates to the concept of parallel lines. The author provides mathematical proofs and diagrams to support their arguments and conclusions. This book is a valuable resource for mathematicians and students of mathematics who are interested in the concept of parallel lines and the history of mathematical proofs.This scarce antiquarian book is a facsimile reprint of the old original and may contain some imperfections such as library marks and notations. Because we believe this work is culturally important we have made it available as part of our commitment for protecting preserving and promoting the world's literature in affordable high quality modern editions that are true to their original work.