Key to Elements of Geometry: Plane and Solid (Classic Reprint)
Language: English
Published by Forgotten Books, 2024
- Softcover
- New

Seller: Forgotten Books, London, United KingdomForgotten Books
AbeBooks seller since June 2, 2021
Condition: New
£ 14.47
Quantity: Over 20 available
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Print on Demand. This book provides an in-depth exploration of the foundations of geometry, offering a comprehensive guide to understanding its fundamental concepts and theorems. The author takes a historical approach, tracing the development of geometric ideas from their inception to their present form, placing geometry within a broader intellectual context. The book delves into the intricate relationships between angles, triangles, quadrilaterals, circles, and other geometric shapes. It explores the properties and characteristics of these shapes, utilizing diagrams and clear explanations to illustrate the underlying principles. The author presents a systematic approach to solving geometric problems, emphasizing the use of logical reasoning and deductive methods. Throughout the book, the author highlights the practical applications of geometry in architecture, art, engineering, and many other fields. This pragmatic approach demonstrates the tangible impact of geometry on our daily lives. The book is enriched with a wealth of exercises and thought-provoking questions that encourage readers to engage with the material and deepen their understanding. This book is an invaluable resource for students, teachers, and anyone seeking to expand their knowledge of geometry. It provides a solid foundation for further study in mathematics and related disciplines, offering a gateway to the intriguing world of spatial reasoning and geometric principles. 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.…
Seller Inventory # 9781527866843_0
- Title
- Key to Elements of Geometry: Plane and Solid (Classic Reprint)
- Author
- John Macnie
- Publisher
- Forgotten Books
- Publication year
- 2024
- Condition
- New
- Book Type
- print-on-demand item
- Binding
- Paperback
- Language
- English
- ISBN 10
- 152786684X
- ISBN 13
- 9781527866843
- Seller catalogs
- Geometry
The first and indispensable requisite towards facility in the solution of geometrical exercises is familiarity with the propositions from which their solutions may be deduced. It is chiefly such a familiarity that enables the practiced geometrician to see at a glance upon what propo sitions an exercise probably depends that may present considerable difficulty to a beginner. The latter frequently fails to perceive the short and easy path to a result which he reaches, perhaps, after tak ing a very circuitous route. This difficulty is obviated to a great extent when the exercise is given as a rider; that is, a proposition to be deduced mainly from a given proposition, as is the case with the exercises at the end of Book I. While this relieves the beginner from his most formidable difficulty, it must be remembered that a given exercise depends seldom, if ever, upon a single proposition, but usually also upon others with which the mind has to be familiar in order to see this dependence. The majority of the propositions of Book I. Are of such importance that pains should be taken to make the truths they express as present to the mind as those of the multiplication table, advantage being taken of such aids to mental association as may prove available. Thus the first five propositions, stating the general properties of angles, form an easily remembered group by themselves. The general propositions concerning equal triangles may be associated with the numbers 63, 66, 69; the two cases of equal right triangles with 72 and 73; the three double propositions concem ing parallels with 110, 112, 113; and so on. It is largely in order to promote this all-important familiarity with leading principles that so many easy exercises are given in the course of each book, and ques tions at its end. The latter may, according to circumstances, be taken part passu with the progress of the class through the book, or be left for review.
Assuming the student's mind to be duly prepared, as adverted to in the preceding paragraph, the first step toward the solution of a given exercise is carefully to read over its wording so as to have a clear idea of what is wanted. Proper care in doing this will not only save misdirected effort, but will also probably suggest some notion Of how to set about the solution.
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.
"Synopsis" may belong to another edition of this title.
Forgotten Books
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Forgotten Books’ Classic Reprint Series utilizes the latest technology to regenerate facsimiles of historically important writings. Careful attention has been made to accurately preserve the original format of each page whilst digitally enhancing the quality of the aged text.
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Forgotten Books publishes hundreds of thousands of rare and classic books.
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.
This text has been digitally restored from a historical edition. Some errors may persist, however we consider it worth publishing due to the work's historical value.
The digital edition of all books may be viewed before purchase if you request a sample.
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