Principles of Geometry, Vol. 4 (Classic Reprint) - Tapa blanda

Henslow, Rev. Prof. G.

 
9781330337486: Principles of Geometry, Vol. 4 (Classic Reprint)

Sinopsis

Explore advanced geometry across dimensions with clear, rigorous problems and proofs.

A rigorous tour through high-level geometry, from plane figures to fourfold space. This edition gathers topics like inversions, quadrics, and complex geometric constructions, with a focus on concrete methods and worked examples. It’s suited for readers who want to see how classic theorems extend into higher dimensions and how different geometric ideas connect.

- Learn how conics, quadric surfaces, and Veronese surfaces relate to spaces of three, four, and five dimensions.
- See practical problem solving in action with exercises on circles, spheres, and their tangent and polar relations.
- Explore the algebraic and synthetic approaches that unify space geometry with projective and descriptive methods.
- Understand how transformations like harmonic inversion and duality reveal hidden structures in complex figures.

Ideal for students and researchers of advanced geometry, and for anyone who enjoys seeing geometric ideas extended beyond the ordinary plane.

"Sinopsis" puede pertenecer a otra edición de este libro.

Reseña del editor

Excerpt from Principles of Geometry, Vol. 4

The book, for which indeed, mostly, the earlier volumes were undertaken, still bears many marks of the difficulty of compressing the matter into brief compass. But the writer hopes that it may seem to the reader as remarkable as it does to him, that it should be possible to comprehend under one point of view, and that so simple, the introduction to nearly all the surfaces ordinarily studied in the geometry of three dimensions, as well as the usual line geometry. Chapters V, VI, VII seek to make clear that this is so. To these the earlier chapters are auxiliary. But Chapters II and IV have been introduced as much for their own interest as for their illustrative value; the results obtained in these two chapters are not required in the subsequent pages. It is hoped that the Table of Contents, and the Index, may make it easy to use the volume. It will of course be understood that the volume is throughout intended to be introductory and illustrative; hardly anywhere is it complete.

About the Publisher

Forgotten Books publishes hundreds of thousands of rare and classic books. Find more at www.forgottenbooks.com

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.

"Sobre este título" puede pertenecer a otra edición de este libro.

Otras ediciones populares con el mismo título

9780265439951: Principles of Geometry, Vol. 4 (Classic Reprint)

Edición Destacada

ISBN 10:  0265439957 ISBN 13:  9780265439951
Editorial: Forgotten Books, 2019
Tapa dura