Elementary Co-Ordinate Geometry for Collegiate Use and Private (Classic Reprint) - Couverture souple

Smith, William Benjamin

 
9780282779252: Elementary Co-Ordinate Geometry for Collegiate Use and Private (Classic Reprint)

Synopsis

Explore the geometry of ellipsoids, hyperboloids, and related surfaces in a rigorous, book‑length treatment of analytic geometry. This edition presents clear foundations, then builds toward detailed properties of quadric surfaces, focal systems, and asymptotes, all with a focus on practical problem solving and geometric insight.


Through careful derivations and worked examples, you’ll see how conics and quadrics behave in three dimensions, including how volumes, sections, and projections relate to their defining axes and focal structures. The text connects classic notions like tangents, polars and normals to contemporary methods, offering a coherent view of the subject for students and self‑learners alike.



  • Foundations of ellipsoids, hyperboloids, and parabolic surfaces

  • Foci, focal radii, directrices, and their geometric relations

  • Polar and perpolar concepts, involutions, and harmonic ranges

  • Volumes, slices (cubature), and asymptotic properties of quadrics


Ideal for readers of plane and analytic geometry who seek a thorough and practical grasp of the subject.

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