Plane Geometry With Problems And Application
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Plane Geometry With Problems And Application
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Author : Herbert Ellsworth Slaught
language : en
Publisher: Wentworth Press
Release Date : 1918
Plane Geometry With Problems And Application written by Herbert Ellsworth Slaught and has been published by Wentworth Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1918 with Mathematics categories.
This work has been selected by scholars as being culturally important, and is part of the knowledge base of civilization as we know it. This work was reproduced from the original artifact, and remains as true to the original work as possible. Therefore, you will see the original copyright references, library stamps (as most of these works have been housed in our most important libraries around the world), and other notations in the work. This work is in the public domain in the United States of America, and possibly other nations. Within the United States, you may freely copy and distribute this work, as no entity (individual or corporate) has a copyright on the body of the work. As a reproduction of a historical artifact, this work may contain missing or blurred pages, poor pictures, errant marks, etc. Scholars believe, and we concur, that this work is important enough to be preserved, reproduced, and made generally available to the public. We appreciate your support of the preservation process, and thank you for being an important part of keeping this knowledge alive and relevant.
Plane Geometry
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Author : Herbert Ellsworth Slaught
language : en
Publisher:
Release Date : 1910
Plane Geometry written by Herbert Ellsworth Slaught and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1910 with Geometry, Plane categories.
Plane Geometry With Problems And Applications
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Author : H. E. Slaught
language : en
Publisher: Forgotten Books
Release Date : 2015-06-12
Plane Geometry With Problems And Applications written by H. E. Slaught and has been published by Forgotten Books this book supported file pdf, txt, epub, kindle and other format this book has been release on 2015-06-12 with Mathematics categories.
Excerpt from Plane Geometry With Problems and Applications In writing this book the authors have been guided by two main purposes: (a) That pupils may gain by gradual and natural processes the power and the habit of deductive reasoning. (b) That pupils may learn to know the essential facts of -elementary geometry as properties of the space in which they live, and not merely as statements in a book. The important features by which the Plane Geometry seeks to accomplish these purposes are: 1. The simplification of the first five chapters by the exclusion of many theorems found in current books. These five chapters correspond to the usual five books, and the most important omissions are the formal treatment of the theory of limits, the incommensurable cases, maxima and minima, and numerous other theorems, together with the deduction of complicated algebraic formulæ, such as the area of a triangle and the radii of the inscribed, escribed, and circumscribed circles, in terms of the three sides. Chapter VI contains a graphic representation of certain important theorems and an informal presentation of incommensurable cases and limits. The treatment of limits is based upon the graph, since the visual or graphic method appeals more directly to the intuition than the usual abstract processes. Chapter VII is devoted to advanced work and to a review of the preceding chapters. 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.
Plane Geometry With Problems And Application
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Author : Nels Johann Lennes Ellsworth Slaught
language : en
Publisher:
Release Date : 2022-10-27
Plane Geometry With Problems And Application written by Nels Johann Lennes Ellsworth Slaught and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2022-10-27 with History categories.
Solid Geometry With Problems And Applications
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Author : Herbert Ellsworth Slaught
language : en
Publisher:
Release Date : 1919
Solid Geometry With Problems And Applications written by Herbert Ellsworth Slaught and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1919 with Geometry, Solid categories.
Solid Geometry With Problems And Applications
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Author : H. E Slaught
language : en
Publisher:
Release Date : 2019-09-26
Solid Geometry With Problems And Applications written by H. E Slaught and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019-09-26 with categories.
In re-writing the Solid Geometry the authors have consistently carriedout the distinctive features described in the preface of the PlaneGeometry. Mention is here made only of certain matters which areparticularly emphasized in the Solid Geometry.Owing to the greater maturity of the pupils it has been possibleto make the logical structure of the Solid Geometry more prominentthan in the Plane Geometry. The axioms are stated and applied atthe precise points where they are to be used. Theorems are no longerquoted in the proofs but are only referred to by paragraph numbers;while with increasing frequency the student is left to his own devicesin supplying the reasons and even in filling in the logical steps of theargument. For convenience of reference the axioms and theorems ofplane geometry which are used in the Solid Geometry are collected inthe Introduction.
Plane And Solid Geometry
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Author : Herbert Ellsworth Slaught
language : en
Publisher:
Release Date : 1911
Plane And Solid Geometry written by Herbert Ellsworth Slaught and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1911 with Geometry categories.
Solid Geometry
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Author : H. E. Slaught
language : en
Publisher: Forgotten Books
Release Date : 2015-06-17
Solid Geometry written by H. E. Slaught and has been published by Forgotten Books this book supported file pdf, txt, epub, kindle and other format this book has been release on 2015-06-17 with Mathematics categories.
Excerpt from Solid Geometry: With Problems and Applications In re-writing the Solid Geometry the authors have consistently carried out the distinctive features described in the preface of the Plane Geometry. Mention is here made only of certain matters which are particularly emphasized in the Solid Geometry. Owing to the greater maturity of the pupils it has been possible to make the logical structure of the Solid Geometry more prominent than in the Plane Geometry. The axioms are stated and applied at the precise points where they are to be used. Theorems are no longer quoted in the proofs but are only referred to by paragraph numbers; while with increasing frequency the student is left to his own devices in supplying the reasons and even in filling in the logical steps of the argument. For convenience of reference the axioms and theorems of plane geometry which are used in the Solid Geometry are collected in the Introduction. In order to put the essential principles of solid geometry, together with a reasonable number of applications, within limited bounds (156 pages), certain topics have been placed in an Appendix. This was done in order to provide a minimum course in convenient form for class use and not because these topics. Similarity of Solids and Applications of Projection, are regarded as of minor importance. In fact, some of the examples under these topics are among the most interesting and concrete in the text. For example, see pages 170-172, 177, 183-184. The exercises in the main body of the text are carefully graded as to difficulty and are not too numerous to be easily performed. 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.
Solid Geometry With Problems And Applications
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Author : H E Slaught Ph D
language : en
Publisher: CreateSpace
Release Date : 2014-12-11
Solid Geometry With Problems And Applications written by H E Slaught Ph D and has been published by CreateSpace this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-12-11 with categories.
In re-writing the Solid Geometry the authors have consistently carried out the distinctive features described in the preface of the Plane Geometry. Mention is here made only of certain matters which are particularly emphasized in the Solid Geometry. Owing to the greater maturity of the pupils it has been possible to make the logical structure of the Solid Geometry more prominent than in the Plane Geometry. The axioms are stated and applied at the precise points where they are to be used. Theorems are no longer quoted in the proofs but are only referred to by paragraph numbers; while with increasing frequency the student is left to his own devices in supplying the reasons and even in filling in the logical steps of the argument. For convenience of reference the axioms and theorems of plane geometry which are used in the Solid Geometry are collected in the Introduction. In order to put the essential principles of solid geometry, together with a reasonable number of applications, within limited bounds (156 pages), certain topics have been placed in an Appendix. This was done in order to provide a minimum course in convenient form for class use and not because these topics, Similarity of Solids and Applications of Projection, are regarded as of minor importance. In fact, some of the examples under these topics are among the most interesting and concrete in the text. For example, see pages 180-183, 187-188, 194- 195. The exercises in the main body of the text are carefully graded as to difficulty and are not too numerous to be easily performed. The concepts of three-dimensional space are made clear and vivid by many simple illustrations and questions under the suggestive headings "Sight Work." This plan of giving many and varied simple exercises, so effective in the Plane Geometry, is still more valuable in the Solid Geometry where the visualizing of space relations is difficult for many pupils. The treatment of incommensurables throughout the body of this text, both Plane and Solid, is believed to be sane and sensible. In each case, a frank assumption is made as to the existence of the concept in question (length of a curve, area of a surface, volume of a solid) and of its realization for all practical purposes by the approximation process. Then, for theoretical completeness, rigorous proofs of these theorems are given in Appendix III, where the theory of limits is presented in far simpler terminology than is found in current text-books and in such a way as to leave nothing to be unlearned or compromised in later mathematical work. Acknowledgment is due to Professor David Eugene Smith for the use of portraits from his collection of portraits of famous mathematicians.
First Lessons In Plane Geometry Together With An Application Of Them To The Solution Of Problems Etc
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Author : Francis Joseph Grund
language : en
Publisher:
Release Date : 1830
First Lessons In Plane Geometry Together With An Application Of Them To The Solution Of Problems Etc written by Francis Joseph Grund and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1830 with Geometry, Plane categories.