Synopsis
Explore the geometry of quadric surfaces and their hidden relationships in this classic reference.
This volume surveys the theory of quadric surfaces, their equations, tangent planes, polar concepts, and confocal families, with detailed treatments of duality, developables, and their applications in higher geometry.
Designed for students and practitioners, it frames theory with clear definitions, structured chapters, and a rich set of examples and exercises. The work builds a rigorous foundation while connecting geometric ideas to broader mathematical concepts.
- Foundations: definitions of quadric surfaces, cones, and dual descriptions.
- Key tools: tangent planes, polar concepts, and the role of the absolute conic.
- Confocal families: how quadrics relate and project to conic sections and higher figures.
- Exercises and notes: a wide range of problems illustrating core results and methods.
Ideal for readers of advanced geometry, classical aesthetics in geometry, and those seeking a rigorous treatment of quadric theory.
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Principles of Geometry, Vol 3 Classic Reprint
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Principles of Geometry, Vol 3 Classic Reprint
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