Download or read book First Steps in Geometry Classic Reprint written by A. Wentworth and published by . This book was released on 2015-08-04 with total page 166 pages. Available in PDF, EPUB and Kindle. Book excerpt: Excerpt from First Steps in Geometry This book is intended to be an introduction to elementary geometry. It aims to make clear by illustrations, definitions, and exercises the exact meaning of the straight line, parallel lines, axial and central symmetry, loci of points, equal figures, equivalent figures, similar figures, and measurements of lines, surfaces, and solids. It aims also to make the learner familiar with the most important theorems, and to teach him to draw, with instruments and free-hand, accurate figures both plane and solid. The pupil who begins the study of any of the common textbooks in geometry with a clear knowledge of the subject matter on this book, and with skill in drawing geometric figures will have a great advantage over the pupil who begins the study without such knowledge and skill; for he can then give his whole attention to the processes of abstract reasoning employed in the demonstrations of propositions. We acknowledge our indebtedness to Dr. Francis K. Ball of Phillips Exeter Academy, who has read all the proof sheets, and given us the benefit of his criticisms. A box of drawing instruments can be had of the publishers at a moderate price. The student should also have a small T square and a block of paper. 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.
Download or read book First Steps in Geometry written by George Albert Wentworth and published by . This book was released on 1901 with total page 174 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book The First Steps in Algebra Classic Reprint written by George Albert Wentworth and published by Forgotten Books. This book was released on 2017-11-03 with total page 230 pages. Available in PDF, EPUB and Kindle. Book excerpt: Excerpt from The First Steps in Algebra It is hoped that young teachers will derive great advantage from studying the systematic arrangement of the algebraic work, for such attention has been paid to this as the limitation of the page would allow. It is of the utmost importance to teach pupils the neatest and most orderly arrangement of work, and to require them to give at the left on each line a statement of the step taken. In this way most of the seeming difficulties of problems vanish. It is also expected that many teachers will find great relief by not being obliged to work out every problem in the Algebra. 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.
Download or read book First Lessons in Geometry Classic Reprint written by Thomas Hill and published by Forgotten Books. This book was released on 2018-01-21 with total page 148 pages. Available in PDF, EPUB and Kindle. Book excerpt: Excerpt from First Lessons in Geometry The child's powers of sensation are developed before his powers of conception, and these before his reasoning powers. This is, therefore, the true order of education and a powerful logi cal drill, like Colburn's admirable first lessons of Arithmetic, is sadly out of place in the hands of a child whose powers of observation and conception have, as yet, received no training whatever. I have, therefore, avoided reasoning, and sirnply given interesting geometrical facts, fitted, I h0pe, to arouse a child to the observation of phenomena, and to the perception of forms as real entities. 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.
Download or read book First Steps in Differential Geometry written by Andrew McInerney and published by Springer Science & Business Media. This book was released on 2013-07-09 with total page 420 pages. Available in PDF, EPUB and Kindle. Book excerpt: Differential geometry arguably offers the smoothest transition from the standard university mathematics sequence of the first four semesters in calculus, linear algebra, and differential equations to the higher levels of abstraction and proof encountered at the upper division by mathematics majors. Today it is possible to describe differential geometry as "the study of structures on the tangent space," and this text develops this point of view. This book, unlike other introductory texts in differential geometry, develops the architecture necessary to introduce symplectic and contact geometry alongside its Riemannian cousin. The main goal of this book is to bring the undergraduate student who already has a solid foundation in the standard mathematics curriculum into contact with the beauty of higher mathematics. In particular, the presentation here emphasizes the consequences of a definition and the careful use of examples and constructions in order to explore those consequences.
Download or read book FIRST STEPS IN GEOMETRY written by A. WENTWORTH and published by . This book was released on 2019 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book First Steps in Geometry written by George Albert Wentworth and published by Legare Street Press. This book was released on 2023-07-18 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is an introduction to the basics of geometry for beginners. It covers the basic concepts of lines, angles, and shapes with clear explanations and numerous exercises to reinforce understanding. Suitable for students in middle and high school as well as anyone interested in learning geometry from scratch. 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 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. 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.
Download or read book A Text Book of Geometry Classic Reprint written by G. A. Wentworth and published by Forgotten Books. This book was released on 2018-01-10 with total page 452 pages. Available in PDF, EPUB and Kindle. Book excerpt: Excerpt from A Text-Book of Geometry When the pupil is reading each Book for the first time, it will be well to let him write his proofs on the blackboard in his own lan guage; care being taken that his language be the simplest possible, that the arrangement of work be vertical (without side work), and that the figures be accurately constructed. This method will furnish a valuable exercise as a language lesson will cultivate the habit of neat and orderly arrangement of work, and will allow a brief interval for deliberating on each step. After a Book has been read in this way, the pupil should review the Book, and should be required to draw the figures free-hand. He should state and prove the propositions orally, using a pointer to indicate on the figure every line and angle named. He should be encouraged, in reviewing each Book, to do the original exercises; to state the converse of propositions; to determine from the statement, if possible, whether the converse be true or false, and if the converse be true to demonstrate it; and also to give well-considered answers to questions which may be asked him on many propositions. 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.
Download or read book First Lessons in Geometry written by Alpheus Crosby and published by Forgotten Books. This book was released on 2017-12 with total page 178 pages. Available in PDF, EPUB and Kindle. Book excerpt: Excerpt from First Lessons in Geometry: Upon the Model of Colburn's First Lessons in Arithmetic The following work is stated in the title to be upon the model of Colburn's First Lessons in Arithmetic, because no other method occurred to me of presenting a general view of its plan, which would be at once so brief and so well understood. Without aiming at minute resemblance, and certainly without challenging any comparison in merit, it is an imitation of that admirable work, which has intro duced so entire a revolution in the mode of teaching Arith metic in our country, in the following particulars. 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.
Download or read book First Steps in Geometry written by G a 1835-1906 Wentworth and published by Palala Press. This book was released on 2016-05-10 with total page 164 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Download or read book Elements of Geometry Classic Reprint written by Adrien Marie Legendre and published by Forgotten Books. This book was released on 2017-10-20 with total page 254 pages. Available in PDF, EPUB and Kindle. Book excerpt: Excerpt from Elements of Geometry It is necessary to the understanding of this work, that the reader should have a knowledge Of the theory of proportions which is explained in common treatises, either Of arithmetic or algebra; he is supposed also to be acquainted with the first rules of algebra; such as the addition and subtraction Of quantities, and the most simple operations belonging to equations of the first degree. The ancients, who had not a knowledge Of algebra, sup plied the want Of it by reasoning and by the use of proportions, which they managed with great dexterity. As for us, who have this instrument in addition to what they possessed, we should do wrong not to make use Of it, if any new facilities are to be deriv ed from it. I have, accordingly, not hesitated to employ the signs and operations of algebra, when I have thought it neces sary; but I have guarded against involving in difficult Operations what ought by its nature to be simple; and all the use I have made Of algebra, in these elements, consists, as I have already said, in a few very simple rules, which may be understood almost without suspecting that they belong to algebra. Besides, it has appeared to me, that, if the study Of geometry ought to be preceded by certain lessons in algebra, it would be not less advantageous to carry on the study Of these two sciences together, and to intermix them as much as possible. According as we advance in geometry, we find it necessary to combine together a greater number Of relations; and algebra may be Of great service in conducting us to our conclusions by the readiest and most easy method. This work is divided into eight sections, four Of which treat Of plane geometry, and four Of solid 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.
Download or read book A Text Book of Geometry written by G. A. Wentworth and published by Forgotten Books. This book was released on 2018-03-21 with total page 260 pages. Available in PDF, EPUB and Kindle. Book excerpt: Excerpt from A Text-Book of Geometry: Revised Edition When the pupil is reading each Book for the first time, it will be well to let him write his proofs on the blackboard in his own lan guage; care being taken that his language be the simplest possible, that the arrangement of work be vertical (without side work), and that the figures be accurately constructed. This method will furnish a valuable exercise as a language lesson will cultivate the habit of neat and orderly arrangement of work, and will allow a brief interval for deliberating on each step. 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.
Download or read book The Elements of Geometry Classic Reprint written by Walter N. Bush and published by Forgotten Books. This book was released on 2016-10-20 with total page 374 pages. Available in PDF, EPUB and Kindle. Book excerpt: Excerpt from The Elements of Geometry It is generally conceded that much of the pupil's difficulty in demonstration arises from his failure to grasp thoroughly and keep vividly in mind as separate and distinct statements, first, the exact data of the proposition, and, second, the precise fact to be established. To remove this stumbling-block, we have stated the hypothesis and conclusion separately for every theorem and corollary demonstrated. 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.
Download or read book Elementary and Constructional Geometry Classic Reprint written by Edgar H. Nichols and published by Forgotten Books. This book was released on 2018-03-03 with total page 152 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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 princi ples studied. It cannot be used as a text-book from which lessons are assigned in advance to the class. Each prin ciple 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 as signed. The book has not been divided into lessons, be cause 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.
Download or read book Solid Geometry Classic Reprint written by John C. Stone and published by Forgotten Books. This book was released on 2016-10-20 with total page 188 pages. Available in PDF, EPUB and Kindle. Book excerpt: Excerpt from Solid Geometry The stone-millis geometry - plane, solid, and plane and solid - published in 1910, was a pioneer in its field, being the first Of the group Of American textbooks on geometry which in recent years have attempted in various ways to make the teaching of geometry conform to modern thought in education. It marked a wide departure from the traditional Greek geometry after which textbooks for secondary schools had for generations been patterned. This text has met with remarkable success. The educational ideals which it embodied are now recognized as national, and are summarized in the report OF the national committee OF fifteen on the teaching 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.
Download or read book First Step in Geometry written by Richard A. Proctor and published by Forgotten Books. This book was released on 2017-10-27 with total page 192 pages. Available in PDF, EPUB and Kindle. Book excerpt: Excerpt from First Step in Geometry: A Series of Hints for the Solution of Geometrical Problems With Notes on Euclid, Useful Working Propositions and Many Examples Geometrical deductions are problems which are intended to be solved by the application of recognised geometrical methods and propositions. They are divided into several classes. A geometrical deduction is termed a rider when it is given as an exercise on a particular proposition. It generally happens that the difficulty of a deduction is greatly diminished when it is given in this way, for we know in what direction to seek for a solution. When a deduction is presented as a rider, it is, of course, expected that the proposition to which the deduction is appended shall be made use of in the solution. It will occasionally happen, with carelessly constructed riders, that a simpler solution, not in volving this proposition, is available; but generally there can be no difficulty in so arranging the proof as to introduce the proposition on which the deduction is supposed to be founded. 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.
Download or read book First Steps in Geometry written by George Robert Gibson and published by . This book was released on 1969 with total page 35 pages. Available in PDF, EPUB and Kindle. Book excerpt:
