Elementary Geometry Plane

Author : Thomas F. Holgate
Publisher : Forgotten Books
ISBN 13 : 9781330109915
Total Pages : 454 pages
Book Rating : 4.1/5 (99 download)

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Download or read book Elementary Geometry Plane and Solid written by Thomas F. Holgate and published by Forgotten Books. This book was released on 2015-06-16 with total page 454 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.