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

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)

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ISBN 10: 1330127188 ISBN 13: 9781330127186

Publisher: Forgotten Books, 2018

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Excerpt from A Collection of Examples on the Analytical Geometry of Plane Conics

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.

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Publisher: Forgotten Books
Publication date: 2018
Language: English
ISBN 10: 1330127188
ISBN 13: 9781330127186
Binding: Paperback
Number of pages: 223

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9780364071755: 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: 0364071753 ISBN 13: 9780364071755
Publisher: Forgotten Books, 2019
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A Collection of Examples on the Analytical Geometry of Plane Conics, Vol. 1

Ralph Augustus Roberts

Published by Forgotten Books, 2018

ISBN 10: 1330127188 ISBN 13: 9781330127186

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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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