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9781330406267: An Elementary Treatise on Pure Geometry: With Numerous Examples (Classic Reprint)

Sinopsis

Excerpt from An Elementary Treatise on Pure Geometry: With Numerous Examples

I have assumed that the reader has passed through the ordinary curriculum in Geometry before attempting to read the present subject; viz. Euclid, some Appendix to Euclid, and Geometrical Conics.

I have not found it convenient to keep rigidly to any single notation. But, ordinarily, points have been denoted by A, B, lines by a, b, and planes and conics by a, 67 73.

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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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Excerpt from An Elementary Treatise on Pure Geometry: With Numerous Examples

I have assumed that the reader has passed through the ordinary curriculum in Geometry before attempting to read the present subject; viz. Euclid, some Appendix to Euclid, and Geometrical Conics.

I have not found it convenient to keep rigidly to any single notation. But, ordinarily, points have been denoted by A, B, lines by a, b, and planes and conics by a, 67 73.

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.

Reseña del editor

Excerpt from An Elementary Treatise on Pure Geometry: With Numerous Examples

In this treatise, the author has attempted to bring together all the well-known theorems and examples connected with Harmonics, Anharmonics, Involution, Projection (including Homology), and Reciprocation. In order to avoid the difficulty of framing a general geometrical theory of Imaginary Points and Lines, the Principle of Continuity is appealed to. The properties of Circular Points and Circular Lines are then discussed, and applied to the theory of the Foci of Conies.

The examples at the ends of the articles are intended to be solved by the help of the article to which they are appended. Among these examples will be found many interesting theorems which were not considered important enough to be included in the text. At the end of the book there is, besides, a large number of Miscellaneous Examples. Of these, the first part is taken mainly from examination papers of the University of Oxford. Scattered throughout the book will be found examples taken from that admirable collection of problems called Mathematical Questions and Solutions from the 'Educational Times.' For permission to make use of these, I am indebted to the kindness of the able editor, Mr. W. J. C. Miller, B.A., Registrar of the General Medical Council.

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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John Wellesley Russell
Publicado por Forgotten Books, 2018
ISBN 10: 1330406265 ISBN 13: 9781330406267
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Paperback. Condición: New. Print on Demand. This book offers a comprehensive exploration of modern geometry, shedding light on its fundamental theorems and properties. The author provides a deep dive into a range of concepts, including harmonic ranges and pencils, involution, projection, reciprocation, and anharmonic or cross ratio. The text is carefully structured, guiding readers through each topic with clear explanations and well-chosen examples. The book draws connections between modern geometry and classical Euclidean concepts, showcasing how the field has evolved historically. By presenting these advanced concepts in an accessible and engaging manner, the author invites readers to expand their knowledge of geometry and appreciate its beauty and depth. The insights offered in this book extend beyond theoretical understanding, providing a valuable resource for those seeking to apply geometric principles in practice. By mastering the concepts presented here, readers will gain a deeper understanding of the world around them and enhance their problem-solving abilities. 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. Nº de ref. del artículo: 9781330406267_0

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John Wellesley Russell
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ISBN 10: 1330406265 ISBN 13: 9781330406267
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John Wellesley Russell
Publicado por Forgotten Books, 2018
ISBN 10: 1330406265 ISBN 13: 9781330406267
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Calificación del vendedor: 5 de 5 estrellas Valoración 5 estrellas, Más información sobre las valoraciones de los vendedores

PAP. Condición: New. New Book. Shipped from UK. Established seller since 2000. Nº de ref. del artículo: LW-9781330406267

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