A Collection of Examples on the Analytical Geometry of Plane Conics, Vol. 1 (Classic Reprint): To Which Are Added Some: To Which Are Added Some (Classic Reprint) - Softcover
Synopsis
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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A Collection of Examples on the Analytical Geometry of Plane Conics, Vol. 1
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Paperback. Condition: New. Print on Demand. This book delves into the rich mathematical realm of conic sections, providing a thorough examination of inscribed and circumscribed triangles, and triangles self-conjugate with respect to a conic. It establishes a solid base by detailing the fundamental properties and relationships of conics, their associated circles, and the triangles associated with them. A particular focus is given to exploring the geometric properties of these figures. The author presents a systematic approach, utilizing elliptic coordinates to analyze the angles of intersection and relationships involving circles having double contact with conics. The book progresses to consider triangles inscribed within a conic and circumscribed about conics, along with triangles possessing the remarkable property of self-conjugacy with respect to the conic. It also investigates the envelopes of circles associated with these triangles, leading to captivating results. This book is not just a collection of theorems and equations; it invites readers to engage in a deeper understanding of conic sections, their properties, and their geometric interactions. Through the exploration of inscribed, circumscribed, and self-conjugate triangles, the author unravels the intricate connections between these figures and the conic sections that define them. It is a valuable resource for students, researchers, and enthusiasts seeking to expand their knowledge and appreciation of this captivating mathematical domain. This book is a reproduction of an important historical work, digitally reconstructed using state-of-the-art technology to preserve the original format. In rare cases, an imperfection in the original, such as a blemish or missing page, may be replicated in the book. print-on-demand item. Seller Inventory # 9781330127186_0
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A Collection of Examples on the Analytical Geometry of Plane Conics, Vol. 1
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A Collection of Examples on the Analytical Geometry of Plane Conics, Vol. 1: To Which Are Added Some (Classic Reprint)
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A Collection of Examples on the Analytical Geometry of Plane Conics, Vol. 1 : To Which Are Added Some (Classic Reprint)
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ISBN 10: 1330127188
ISBN 13: 9781330127186
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A Collection of Examples on the Analytical Geometry of Plane Conics, Vol. 1 : To Which Are Added Some (Classic Reprint)
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A Collection of Examples on the Analytical Geometry of Plane Conics, Vol. 1 : To Which Are Added Some (Classic Reprint)
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Condition: Hervorragend. Zustand: Hervorragend | Sprache: Englisch | Produktart: Bücher | Keine Beschreibung verfügbar. Seller Inventory # 25774402/1