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) - Tapa blanda

Roberts, Ralph Augustus

 
9781330127186: 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)

Sinopsis

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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Reseña del editor

Excerpt from A Collection of Examples on the Analytical Geometry of Plane Conics, Vol. 1: To Which Are Added Some

A part of this collection of examples has been published by me before in a Collection of Examples and Problems on. Comes and some of the Higher Plane Curves. In this volume I have added a good many more examples, besides giving solutions of the more difficult ones which were left nu solved. I believe that either the examples themselves, or the methods of their solution, are to a great extent original.

About the Publisher

Forgotten Books publishes hundreds of thousands of rare and classic books. Find more at www.forgottenbooks.com

This book is a reproduction of an important historical work. Forgotten Books uses state-of-the-art technology to digitally reconstruct the work, preserving the original format whilst repairing imperfections present in the aged copy. In rare cases, an imperfection in the original, such as a blemish or missing page, may be replicated in our edition. We do, however, repair the vast majority of imperfections successfully; any imperfections that remain are intentionally left to preserve the state of such historical works.

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Otras ediciones populares con el mismo título

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

Edición Destacada

ISBN 10:  0364071753 ISBN 13:  9780364071755
Editorial: Forgotten Books, 2019
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