Elementary Geometry Plane and Solid: For Use in High Schools and Academies (Classic Reprint) - Tapa blanda
Sinopsis
Excerpt from Elementary Geometry Plane and Solid: For Use in High Schools and Academies
When we speak of a point or a line, a straight line or a crooked line, everybody knows in a general way what is meant. In the minds of persons not familiar with the strict sense in which these terms are used in Geometry, it may be that the words point' and line are associated with marks of some sort, made for example with a pen or pencil; they may think of a point as a dot, and of a line as a long, narrow mark, but in spite of this association the true meaning of the terms 'point,' 'line,' straight,' 'crooked,' etc., is pretty clearly understood.
It is not at all certain that definitions could be given in words which would convey an intelligent idea of the meaning of these terms to a person not already familiar with the thought conveyed by them, still a few words of comment may serve to fix the attention upon some properties of points and lines which are fundamental in the study of Geometry.
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 Elementary Geometry Plane and Solid: For Use in High Schools and Academies
When we speak of a point or a line, a straight line or a crooked line, everybody knows in a general way what is meant. In the minds of persons not familiar with the strict sense in which these terms are used in Geometry, it may be that the words point' and line are associated with marks of some sort, made for example with a pen or pencil; they may think of a point as a dot, and of a line as a long, narrow mark, but in spite of this association the true meaning of the terms 'point,' 'line,' straight,' 'crooked,' etc., is pretty clearly understood.
It is not at all certain that definitions could be given in words which would convey an intelligent idea of the meaning of these terms to a person not already familiar with the thought conveyed by them, still a few words of comment may serve to fix the attention upon some properties of points and lines which are fundamental in the study of Geometry.
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 Elementary Geometry Plane and Solid: For Use in High Schools and Academies
After the introductory chapter there are presented a few easy problems of construction in which the pupil will make free use of his ruler and compasses, and be introduced to the idea of a formal proof in connection with matters which he clearly sees need proving; other similar problems are inserted where they come in most naturally and are of most immediate interest.
Abstract discussions, such as the theory of limits, have been postponed as far as possible in order to secure for their comprehension greater mathematical maturity. Young pupils do not readily assimilate theoretical or abstract principles, and it is best that these should be brought into but little prominence in the early parts of the subject.
The exercises have been carefully selected and are intended to form an integral part of the work. They bear a direct relation, in most cases, to the propositions with which they are associated; those inserted at the ends of sections or chapters are for the most part of a more difficult character and may be omitted on a first reading.
It is hoped that the classified summary at the end of each chapter will prove serviceable for purposes of review and for reference, and will also aid the pupil in systematizing his knowledge.
Care has been taken to state the fundamental assumptions - the postulates - upon which the science rests, in as clear a form as possible, and to distinguish between assumption and axiomatic truth. Some things have been assumed which are often made matters of demonstration; for example, the fact that the perimeter of a regular polygon inscribed in a circle approaches a limit as the number of its sides is indefinitely increased. This admits of a rigorous proof, to be sure, but the proofs given in text-books on elementary geometry are as a rule either unsatisfactory or beyond the appreciation of the pupil. I have preferred openly to assume the property, - an assumption at which the pupil does not hesitate.
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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Elementary Geometry Plane and Solid: For Use in High Schools and Academies
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Paperback. Condición: New. Print on Demand. This book belongs to the popular genre of elementary geometry, and it is a great resource for anyone interested in this subject. The author has taken an engaging approach to present a clear understanding of geometry, which includes the study of points, straight and curved lines, angles, polygons, and circles. The book starts with the basic concepts and gradually moves on to more advanced topics. The author has included a lot of easy-to-understand problems in this book to encourage readers to test their knowledge. It also includes both theorems and problems, encouraging readers to demonstrate their understanding in different ways. This book's clear and structured approach makes it a great resource for both beginners and those looking to brush up on their geometry skills or delve deeper into the subject. The lessons build upon one another to create a comprehensive understanding for readers of all knowledge levels, fostering a real insight into the intricacies of geometry. 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: 9781330109915_0
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Elementary Geometry Plane and Solid
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Elementary Geometry Plane and Solid : For Use in High Schools and Academies (Classic Reprint)
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Forgotten Books, 2015
ISBN 10: 1330109910
ISBN 13: 9781330109915
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Condición: Sehr gut. Zustand: Sehr gut | Seiten: 456 | Sprache: Englisch | Produktart: Bücher | Keine Beschreibung verfügbar. Nº de ref. del artículo: 25761331/2
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Elementary Geometry Plane and Solid : For Use in High Schools and Academies (Classic Reprint)
Publicado por
Forgotten Books, 2015
ISBN 10: 1330109910
ISBN 13: 9781330109915
Antiguo o usado
Tapa blanda
Librería: Buchpark, Trebbin, Alemania
Calificación del vendedor: 5 de 5 estrellas
Condición: Hervorragend. Zustand: Hervorragend | Seiten: 456 | Sprache: Englisch | Produktart: Bücher | Keine Beschreibung verfügbar. Nº de ref. del artículo: 25761331/1
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