A Collection of Examples on the Analytical Geometry of Plane Conics, Vol. 1: To Which Are Added Some (Classic Reprint) - Hardcover

Ralph Augustus Roberts

9780364071755: A Collection of Examples on the Analytical Geometry of Plane Conics, Vol. 1: To Which Are Added Some (Classic Reprint)

Hardcover

ISBN 10: 0364071753 ISBN 13: 9780364071755

Publisher: Forgotten Books, 2018

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Explore a classic collection of analytic geometry problems focused on plane conics and their sphero-conics, with detailed worked solutions.

This volume presents a wide range of examples and problems that extend earlier work on conics and higher plane curves. The author shares original methods and full solutions, emphasizing circles with special contact to conics and the role of elliptic coordinates in simplifying tangents, loci, and dual relationships. The book also adds a section on sphero-conics, expanding the discussion beyond the plane and connecting geometric ideas across related figures.

Clear, step‑by‑step solutions to advanced problems involving inscribed figures, tangents, and contact circles.
Methods using differential equations and elliptic coordinates to study intersections, centers, and loci.
Connections between plane conics and three-dimensional analogs through sphero-conics and related configurations.
Historical context and references to foundational works in conic sections and higher plane curves.

Ideal for readers with a serious interest in classical geometry, problem solving, and the historical development of analytic methods in conics and sphero-conics.

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