Plane and Solid Analytic Geometry (Classic Reprint) - Hardcover

William F. Osgood Ph

 
9780266632016: Plane and Solid Analytic Geometry (Classic Reprint)

Synopsis

Plane and Solid Analytic Geometry presents a rigorous treatment of analytic geometry topics through clear methods and worked examples.

This edition covers transforming coordinates, reducing second-degree equations, and classifying quadric surfaces, with attention to both central and degenerate cases.

This book guides readers through the practical techniques for analyzing surfaces and curves in space, including the symmetry of quadric forms, transformations of axes, and the relationships between polars and poles. It emphasizes method, deduction, and problem solving with a broad set of exercises.
  • How to transform coordinates to simplify equations of surfaces and derive standard forms
  • Classification of quadric surfaces, including central quadrics, paraboloids, cones, and cylinders
  • Introduction to poles and polars, with theorems and geometric interpretations
  • Worked exercises that reinforce reduction techniques and surface analysis
Ideal for readers of advanced geometry and engineering who want a solid foundation in analytic methods and problem solving.

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