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9781332588657: Elements of Geometry: With Practical Applications, for the Use of Schools (Classic Reprint)

Sinopsis

Excerpt from Elements of Geometry: With Practical Applications, for the Use of Schools

It is proper here to observe that the circle is uniform ly treated in the following work, as a regular polygon of an infinite number of sides. This has done more than all other expedients, to reduce the dimensions of the work, without diminishing the number of results. If this principle had not been introduced, and the properties of the circle and figures depending upon it had been demonstrated by the usual method of a reductio ad absurdum, at least thirty pages more would have been necessary to obtain the same results as are here obtained. This appeared to be a sufficient rea son for introducing it.

Under the impression that every student, who is at all inquisitive or curious, must desire to know something of the history Of Geometry, its origin and progress are briefly traced in the Introduction. If the student should read this before studying the body of the work.

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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Reseña del editor

Excerpt from Elements of Geometry: With Practical Applications, for the Use of Schools

It is proper here to observe that the circle is uniform ly treated in the following work, as a regular polygon of an infinite number of sides. This has done more than all other expedients, to reduce the dimensions of the work, without diminishing the number of results. If this principle had not been introduced, and the properties of the circle and figures depending upon it had been demonstrated by the usual method of a reductio ad absurdum, at least thirty pages more would have been necessary to obtain the same results as are here obtained. This appeared to be a sufficient rea son for introducing it.

Under the impression that every student, who is at all inquisitive or curious, must desire to know something of the history Of Geometry, its origin and progress are briefly traced in the Introduction. If the student should read this before studying the body of the work.

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 Elements of Geometry: With Practical Applications, for the Use of Schools

In preparing the following work, two objects hare been kept constantly in view. First, I hare endeavoured to bring the essential principles of Geometry, within a small compass; and, secondly, to make their connexion easy to be understood. That such a book is wanted, I am convinced from personal experience. The works of Euclid and Legendre, the two most generally studied in New-England, though each is nearly perfect in its kind, are, for that very reason, suited only to the highest seminaries of learning. They cost too much and they require too much time, to be generally studied in academies and schools. Moreover they are too abstruse and difficult for the comprehension of very young pupils. All this is a necessary consequence of their fulness and perfection, as treatises on {his branch of Mathematics. They necessarily contain many propositions, which are not requisite for the understanding of subsequent branches, such as Trigonometry and Conic Sections; and which are not made use of in the more important practical applications, such as Mensuration, Surveying and Navigation. To study them would be an excellent discipline for the mind, if there were time; but this detains the pupil too long from the subsequent higher branches, which afford an equally salutary discipline for the mind, and, in addition to this, are absolutely essential to a complete practical education.

Under these impressions, I have omitted all such propositions as are not absolutely necessary for the understanding the subsequent parts of a mathematical course.

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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Timothy Walker
Publicado por Forgotten Books, 2018
ISBN 10: 1332588654 ISBN 13: 9781332588657
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Timothy Walker
Publicado por Forgotten Books, 2018
ISBN 10: 1332588654 ISBN 13: 9781332588657
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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-9781332588657

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Timothy Walker
Publicado por Forgotten Books, 2017
ISBN 10: 1332588654 ISBN 13: 9781332588657
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Paperback. Condición: New. Print on Demand. This book, originally published in 1829, is an introductory treatise on the geometry of lines, surfaces, and solids. Beginning with the basic concepts of geometry, the book presents a clear and concise exposition of the subject, building on the work of earlier mathematicians such as Euclid and Legendre. The author's approach is to present the essential principles of geometry in a way that is accessible to young students, making it an excellent resource for those seeking to understand the foundations of this branch of mathematics. 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: 9781332588657_0

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