A rigorous guide to describing three‑dimensional forms on paper using general, sound methods. It emphasizes broad principles over single problem types.
Descriptive geometry from a mathematical standpoint helps you understand how points, lines, and planes project into views, and how to reconstruct space from those projections. The text discusses concepts like the cone, traces, and plane sections, and it shows how to apply these ideas to a wide range of problems, not just one kind of shape.
The book also covers how surfaces are generated and classified, including single and warped surfaces, and it explains how to develop curved surfaces for practical drawing and design work. With worked examples and exercises, it guides you from basic constructions to more advanced topics like hyperbolic paraboloids and surfaces of revolution.
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Excerpt from Descriptive Geometry: A Treatise From a Mathematical Standpoint, Together With a Collection of Exercises and Practical Applications
As an illustration of the generalized treatment throughout, attention may be called to the discussion of the cone. A common conception of a cone is that of a right circular cone, or cone of revolution. A generalized definition is given, however, to include all the surfaces which may be generated by a right line moving so as to pass through a fixed point and touch a curve. Further, it is stated that every cone is generically a right cone, and may be specifically named from the shape of a cross section so taken that a perpendicular, let fall from the fixed point or apex to the plane of the section, will pierce the latter in the center, focus, or other characteristic point, as a cusp, point of inflection, etc., etc.
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This book is a reproduction of an important historical work. Forgotten Books uses state-of-the-art technology to digitally reconstruct the work, preserving the original format whilst repairing imperfections present in the aged copy. In rare cases, an imperfection in the original, such as a blemish or missing page, may be replicated in our edition. We do, however, repair the vast majority of imperfections successfully; any imperfections that remain are intentionally left to preserve the state of such historical works.
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Librería: Forgotten Books, London, Reino Unido
Paperback. Condición: New. Print on Demand. This book presents a systematic approach to descriptive geometry through an exploration of its fundamental principles and their application to the making of working drawings. It departs from the common practice of subordinating theory to immediate practical uses, instead offering a sound theoretical treatment, rooted in geometry, of the subject. The approach is designed to equip students with the ability to solve problems and fulfill technical education requirements. The book begins with the most basic concepts and progresses to advanced topics, providing a solid foundation for further study in the field. The author has drawn upon the works of renowned experts in the field, such as Church and McCord, while also incorporating valuable insights from their own teaching experience. This book is an essential resource for students of descriptive geometry, providing a comprehensive and theoretically sound treatment of the subject. This book is a reproduction of an important historical work, digitally reconstructed using state-of-the-art technology to preserve the original format. In rare cases, an imperfection in the original, such as a blemish or missing page, may be replicated in the book. print-on-demand item. Nº de ref. del artículo: 9781330438831_0
Cantidad disponible: Más de 20 disponibles
Librería: PBShop.store US, Wood Dale, IL, Estados Unidos de America
PAP. Condición: New. New Book. Shipped from UK. Established seller since 2000. Nº de ref. del artículo: LW-9781330438831
Cantidad disponible: 15 disponibles
Librería: PBShop.store UK, Fairford, GLOS, Reino Unido
PAP. Condición: New. New Book. Shipped from UK. Established seller since 2000. Nº de ref. del artículo: LW-9781330438831
Cantidad disponible: 15 disponibles