On Models of Cubic Surfaces (Classic Reprint) - Couverture souple

W. H. Blythe

Couverture souple

ISBN 10 : 133233704X ISBN 13 : 9781332337040

Editeur : Forgotten Books, 2018

Synopsis

A concise exploration of cubic surfaces through classical and projective geometry. This edition presents the general equation of a cubic surface, its tangent planes, and the different kinds of singularities. It also surveys how projective pencils and twisted cubics reveal the surface’s structure, including how many straight lines the surface can contain and how these lines interact with nodes.

The discussion builds from foundational equations to geometric models, connecting algebraic forms to visible shapes. Readers will glimpse methods for constructing and analyzing cubic surfaces, including the role of conic and binode configurations and the behavior of surfaces when lines become imaginary. The text weaves historical references with practical constructions, offering a cohesive view of the subject.

- Understand the general equation of a cubic surface and what triple tangent planes reveal.
- Learn how nodes, binodes, and conic nodes describe the surface’s singularities.
- See how projective pencils and twisted cubics relate to the surface’s lines and sections.
- Explore model-building ideas that link algebra to geometric intuition.

Ideal for readers of advanced geometry, historical treatments of cubic surfaces, and anyone seeking a rigorous, but accessible, pathway into this classical topic.

A propos du livre

Présentation de l'éditeur

This book was originally published prior to 1923, and represents a reproduction of an important historical work, maintaining the same format as the original work. While some publishers have opted to apply OCR (optical character recognition) technology to the process, we believe this leads to sub-optimal results (frequent typographical errors, strange characters and confusing formatting) and does not adequately preserve the historical character of the original artifact. We believe this work is culturally important in its original archival form. While we strive to adequately clean and digitally enhance the original work, there are occasionally instances where imperfections such as blurred or missing pages, poor pictures or errant marks may have been introduced due to either the quality of the original work or the scanning process itself. Despite these occasional imperfections, we have brought it back into print as part of our ongoing global book preservation commitment, providing customers with access to the best possible historical reprints. We appreciate your understanding of these occasional imperfections, and sincerely hope you enjoy seeing the book in a format as close as possible to that intended by the original publisher.

Détails de l'édition

• Éditeur: Forgotten Books
• Date d'édition: 2018
• Langue: anglais
• ISBN 10: 133233704X
• ISBN 13: 9781332337040
• Reliure: Broché
• Nombre de pages: 125
• 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