An Elementary Treatise on Solid Geometry (Classic Reprint) - Couverture souple

Smith, Charles

Couverture souple

ISBN 10 : 1440083401 ISBN 13 : 9781440083402

Editeur : Forgotten Books, 2018

Synopsis

A clear, problem‑driven guide to planes, lines, and curved surfaces.

This edition presents foundational ideas in solid geometry with practical explanations and worked examples. It covers core topics such as planes, lines, conicoids, and a thorough look at surfaces of second degree, including their generating lines and plane sections. The book builds a solid base for students and self‑learners who want to understand the geometry of three‑dimensional figures through hands‑on problems and clear reasoning.

Inside you’ll find structured coverage of planes and straight lines, then a deep dive into conicoids and their properties. The text guides you through tangent planes, polar planes, and enveloping surfaces, with emphasis on how different surfaces interact and what that means for problem solving. There are practical examples and exercises that reinforce concepts as you progress.

• Foundational techniques for working with planes, lines, and their intersections
• In‑depth treatment of conicoids, including generating lines and central sections
• Methods for analyzing plane sections, tangents, and reciprocal relationships
• Worked examples and problems to build confidence in geometric reasoning

Ideal for students building a geometric toolkit, as well as readers who want a rigorous, example‑driven introduction to three‑dimensional geometry.

A propos du livre

Présentation de l'éditeur

Solid Geometry, and I have endeavoured to present the elementary parts of the subject in as simple a manner as possible. Those who desire fuller information are referred to the more complete treatises of Dr Salmon and Dr Frost, to both of which I am largely indebted. I have discussed the different surfaces which can be represented by the general equation of the second degree at an earlier stage than is sometimes adopted. I think that this arrangement is for many reasons the most satisfactory, and I do not believe that beginners will find it difficult. The examples have been principally taken from recent University and College Examination papers; I have also included many interesting theorems of M. Chasles. I am indebted to several of my friends, particularly toM rS. L. Loney, B.A., and toM rR H. Piggott, B.A., Scholars of Sidney Sussex College, for their kindness in looking over the proof sheets, and for valuable suggestions. CHARLES SMITH. SIDNEY SUSSEX COLLEGE, A pril, 1884.
(Typographical errors above are due to OCR software and don't occur in the book.)

About the Publisher

Forgotten Books is a publisher of historical writings, such as: Philosophy, Classics, Science, Religion, History, Folklore and Mythology.

Forgotten Books' Classic Reprint Series utilizes the latest technology to regenerate facsimiles of historically important writings. Careful attention has been made to accurately preserve the original format of each page whilst digitally enhancing the aged text. Read books online for free at www.forgottenbooks.org

Détails de l'édition

• Éditeur: Forgotten Books
• Date d'édition: 2018
• Langue: anglais
• ISBN 10: 1440083401
• ISBN 13: 9781440083402
• Reliure: Broché
• Nombre de pages: 260
• 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
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