A Treatise on the Geometry of the Circle: And Some Extensions to Conic Sections by the Method of Reciprocation, With Numerous Examples (Classic Reprint) - Hardcover

William J. M'clelland

Hardcover

ISBN 10: 026686144X ISBN 13: 9780266861447

Publisher: Forgotten Books, 2017

Synopsis

Explore the full geometry of circles and beyond with a rigorous, example‑driven approach.

This classic treatise presents circle geometry and its extensions to conic sections through the method of reciprocation, offering a solid foundation for advanced study and problem solving.

This edition walks from foundational definitions to comprehensive theorems, showing how ideas like symmetry, polarity, inversion, and coaxal circles interact across many geometric figures. It blends traditional results with modern extensions, anchored by numerous worked examples.

• Clear explanations of core concepts such as reciprocation, inversive geometry, polars, and centers of similitude
• Step‑by‑step development of theorems with practical examples and constructions
• Extensions to conic sections and applications to circle geometry in a cohesive framework
• A broad view of modern geometric ideas in a single, structured volume

Ideal for readers of advanced geometry, mathematical problem solvers, and students seeking a cohesive reference on circle geometry and its extensions.

Edition details

• Publisher: Forgotten Books
• Publication date: 2017
• Language: English
• ISBN 10: 026686144X
• ISBN 13: 9780266861447
• Binding: Hardcover
• Number of pages: 376