A Treatise on the Application of Analysis to Solid Geometry (Classic Reprint) - Hardcover

D. F. Gregory

Hardcover

ISBN 10: 0484433261 ISBN 13: 9780484433266

Publisher: Forgotten Books, 2018

Synopsis

Discover the foundations of solid geometry through analysis.

This classic treatise develops a system of solid geometry using symmetrical equations, making advanced concepts accessible to mathematical students. It covers the use of coordinates, projections, and transformations to analyze shapes in space, with careful attention to logical structure and practical methods.

Beginning with principles and theorems, the work builds toward methods for lines, planes, surfaces, and their intersections. It explains how to express distances, angles, and volumes in coordinate terms, and how to reduce complex equations to manageable forms. Practical problems and worked examples support a clear, methodical approach to three-dimensional geometry.

• Analytical description of straight lines, planes, and their intersections
• Techniques for transforming coordinate systems and reducing general equations
• Tangents, normals, and the geometry of surfaces in space
• Applications to second-degree surfaces and curves in space

Ideal for readers of classic mathematical treatises and students seeking a rigorous foundation in solid geometry.

Edition details

• Publisher: Forgotten Books
• Publication date: 2018
• Language: English
• ISBN 10: 0484433261
• ISBN 13: 9780484433266
• Binding: Hardcover
• Number of pages: 333