A New Analysis of Plane Geometry, Finite and Differential: With Numerous Examples (Classic Reprint) - Hardcover

A. W. H. Thompson

Hardcover

ISBN 10: 0484097695 ISBN 13: 9780484097697

Publisher: Forgotten Books, 2018

Synopsis

Master the language of geometry with a symbolic, reductionist approach that turns complex measures into simple, manipulable elements.

This book presents a method for plane and differential geometry that centers on reductional computation. It emphasizes symbolic reasoning over figures, guiding readers to express and reduce measures through fundamental elements, vectorial constructions, and algebraic relations. The work contrasts Visual and Symbolic Geometry, showing how the latter can yield powerful, broadly applicable results while keeping explanations accessible through examples and clear axioms.

Written as a practical guide to method, it covers the reduction of measures, eliminants, and the handling of displacement, along with the role of intrinsic functions and differentials. While not exhaustive of every property, it lays out a coherent framework for analyzing geometric problems by translating conditions into symbolic form and tracking how complex quantities decompose into simpler components.

• Learn how to reduce complex measures to functions of pairs of fundamental elements.
• Understand eliminants and how relations among elements simplify proofs.
• Explore how displacement, intrinsic functions, and differentials fit into a unified symbolic method.
• See a structured approach to integration and miscellaneous examples that illustrate the method.

Ideal for readers seeking a rigorous, method‑driven path through higher geometry, including students and practitioners who value a symbolic, reductionist perspective.

Edition details

• Publisher: Forgotten Books
• Publication date: 2018
• Language: English
• ISBN 10: 0484097695
• ISBN 13: 9780484097697
• Binding: Hardcover
• Number of pages: 148