Elementary and Constructional Geometry

Elementary and Constructional Geometry PDF

Author: Edgar H. Nichols

Publisher: Forgotten Books

Published: 2015-06-24

Total Pages: 176

ISBN-13: 9781330150511

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Excerpt from Elementary and Constructional Geometry This book is designed for pupils beginning Geometry at the age of twelve, or even younger. It is based upon the author's class-room experience with young boys during the last twelve years. It is hoped that it may prove an aid to those teachers who do not want a text-book except as a guide to the pupil, to enable him to review the principles developed in the class by answering for himself a set of questions similar to those asked in the class-room, and by working out practical problems illustrative of the principles studied. It cannot be used as a text-book from which lessons are assigned in advance to the class. Each principle should be developed by the teacher and the class, working together - the principle coming at the end, not at the beginning, of the study - and then a lesson from the book, covering essentially the same ground, should be assigned. The book has not been divided into lessons, because sometimes a single paragraph will afford material for several lessons, and, again, several pages can be mastered in one lesson. Each teacher should be free to develop his subject in his own way without artificial lines of division. The main object of the first year's study is to make the pupils perfectly familiar with the use of their tools, so that in the study of Theoretical Geometry the construction of the figures will present no difficulty. In the pursuit of this object a great many useful working principles are learned, which greatly simplify the more advanced study of the subject. 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.

Elementary and Constructional Geometry

Elementary and Constructional Geometry PDF

Author: Edgar Hamilton Nichols

Publisher: Palala Press

Published: 2016-05-24

Total Pages:

ISBN-13: 9781359118479

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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.

Famous Problems of Elementary Geometry

Famous Problems of Elementary Geometry PDF

Author: Felix Klein

Publisher: Courier Corporation

Published: 2003-01-01

Total Pages: 136

ISBN-13: 9780486495514

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Widely regarded as a classic of modern mathematics, this expanded version of Felix Klein's celebrated 1894 lectures uses contemporary techniques to examine three famous problems of antiquity: doubling the volume of a cube, trisecting an angle, and squaring a circle. Today's students will find this volume of particular interest in its answers to such questions as: Under what circumstances is a geometric construction possible? By what means can a geometric construction be effected? What are transcendental numbers, and how can you prove that e and pi are transcendental? The straightforward treatment requires no higher knowledge of mathematics. Unabridged reprint of the classic 1930 second edition.

Fundamentals of Geometry Construction

Fundamentals of Geometry Construction PDF

Author: Jorge Angeles

Publisher: Springer Nature

Published: 2020-04-18

Total Pages: 182

ISBN-13: 3030431312

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The textbook provides both beginner and experienced CAD users with the math behind the CAD. The geometry tools introduced here help the reader exploit commercial CAD software to its fullest extent. In fact, the book enables the reader to go beyond what CAD software packages offer in their menus. Chapter 1 summarizes the basic Linear and Vector Algebra pertinent to vectors in 3D, with some novelties: the 2D form of the vector product and the manipulation of “larger" matrices and vectors by means of block-partitioning of larger arrays. In chapter 2 the relations among points, lines and curves in the plane are revised accordingly; the difference between curves representing functions and their geometric counterparts is emphasized. Geometric objects in 3D, namely, points, planes, lines and surfaces are the subject of chapter 3; of the latter, only quadrics are studied, to keep the discussion at an elementary level, but the interested reader is guided to the literature on splines. The concept of affine transformations, at the core of CAD software, is introduced in chapter 4, which includes applications of these transformations to the synthesis of curves and surfaces that would be extremely cumbersome to produce otherwise. The book, catering to various disciplines such as engineering, graphic design, animation and architecture, is kept discipline-independent, while including examples of interest to the various disciplines. Furthermore, the book can be an invaluable complement to undergraduate lectures on CAD.

Upper Elementary Geometry - Student Books: Constructions

Upper Elementary Geometry - Student Books: Constructions PDF

Author: ETC Montessori

Publisher:

Published: 2022-12-07

Total Pages: 0

ISBN-13:

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A student construction workbook that is used with the concepts given in the Upper Elementary Geometry Task Cards (ELC-3038). Here students will be presented with several explorations in geometric constructions, angles, design, and analysis. Please order accordingly based on the number of students you have.