Theory of Parallels (Classic Reprint): The Proof of Euclid's Axiom Looked for in the Properties of the Equiangular Spiral - Couverture souple

Thompson, T. Perronet

Couverture souple

ISBN 10 : 0282643362 ISBN 13 : 9780282643362

Editeur : Forgotten Books, 2018

Synopsis

A bold approach to an old question: Can Euclid’s Axiom be derived from geometry itself?
This edition reprints T. Perronet Thompson’s 1840 work, which argues that the equiangular spiral contains a limited radius over a finite number of revolutions and can illuminate the truth behind Euclid’s Axiom. It presents a historical path through spiral geometry, propositions, corollaries, and appendices that connect classic triangles to the larger structure of geometric proof.

- Explore the premise that the equiangular spiral can bound a radius and relate to key geometric axioms.
- Follow Thompson’s method of linking spiral properties to Euclid’s postulates, with attention to corollaries and propositions.
- See how equal angles and rectilinear series are treated to build a self-reinforcing argument.
- Consider the historical context and the practical aims of the 19th-century geometric program.

Ideal for readers of 19th-century geometry, the history of Euclid, and readers interested in alternative routes to foundational geometry.

Détails de l'édition

• Éditeur: Forgotten Books
• Date d'édition: 2018
• Langue: anglais
• ISBN 10: 0282643362
• ISBN 13: 9780282643362
• Reliure: Broché
• Nombre de pages: 24
• Coordonnées du fabricant: Copytech (UK) Ltd, Trading as Printondemand-worldwide.com; gpsr@podww.com; ; 9 Culley Court; Orton Southgate; Peterborough; Cambridgeshire; PE2 6WA; Royaume-Uni
• Personne responsable: Easy Access System Europe Oü, 16879218; +358405003575; gpsr.requests@easproject.com; ; Mustamäe tee 50; Tallinn; 10621; Estonie