Practical Descriptive Geometry (Classic Reprint)

Practical Descriptive Geometry (Classic Reprint)

Author: William Griswold Smith

Publisher: Forgotten Books

Published: 2018-02-06

Total Pages: 268

ISBN-13: 9780332864112

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Excerpt from Practical Descriptive Geometry The first edition of this book, published in 1912, represented the author's views on the presentation of Descriptive Geometry, so as to arouse the student's interest in the subject without sacrificing rigorous training in the principles. In three years the text has been used in many schools, and the present, second edition, aims to embody the suggestions of many leading teachers of the subject, who have, at the request of the author and publishers, expressed their views as to this development. The main idea of the first edition, that of practicality, has been adhered to and amplified. The most important changes are The division into more chapters. A more logical sequence for certain portions of the text. The notation of points and planes. 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.


Book Synopsis Practical Descriptive Geometry (Classic Reprint) by : William Griswold Smith

Download or read book Practical Descriptive Geometry (Classic Reprint) written by William Griswold Smith and published by Forgotten Books. This book was released on 2018-02-06 with total page 268 pages. Available in PDF, EPUB and Kindle. Book excerpt: Excerpt from Practical Descriptive Geometry The first edition of this book, published in 1912, represented the author's views on the presentation of Descriptive Geometry, so as to arouse the student's interest in the subject without sacrificing rigorous training in the principles. In three years the text has been used in many schools, and the present, second edition, aims to embody the suggestions of many leading teachers of the subject, who have, at the request of the author and publishers, expressed their views as to this development. The main idea of the first edition, that of practicality, has been adhered to and amplified. The most important changes are The division into more chapters. A more logical sequence for certain portions of the text. The notation of points and planes. 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.


Text-Book on Practical Solid Or Descriptive Geometry, Vol. 2 (Classic Reprint)

Text-Book on Practical Solid Or Descriptive Geometry, Vol. 2 (Classic Reprint)

Author: David Allan Low

Publisher: Forgotten Books

Published: 2017-06-26

Total Pages: 162

ISBN-13: 9780282659745

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Excerpt from Text-Book on Practical Solid or Descriptive Geometry, Vol. 2 The author, in writing this text-book, has endeavoured to meet the wants of both elementary and advanced students, and he believes that it will be found to contain all the de scriptive geometry which is usually required by engineering and architectural draughtsmen. But while making the book comprehensive, and illustrating it fully, it has not been made of an inconvenient size for use in large classes. 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.


Book Synopsis Text-Book on Practical Solid Or Descriptive Geometry, Vol. 2 (Classic Reprint) by : David Allan Low

Download or read book Text-Book on Practical Solid Or Descriptive Geometry, Vol. 2 (Classic Reprint) written by David Allan Low and published by Forgotten Books. This book was released on 2017-06-26 with total page 162 pages. Available in PDF, EPUB and Kindle. Book excerpt: Excerpt from Text-Book on Practical Solid or Descriptive Geometry, Vol. 2 The author, in writing this text-book, has endeavoured to meet the wants of both elementary and advanced students, and he believes that it will be found to contain all the de scriptive geometry which is usually required by engineering and architectural draughtsmen. But while making the book comprehensive, and illustrating it fully, it has not been made of an inconvenient size for use in large classes. 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.


Elements of Descriptive Geometry (Classic Reprint)

Elements of Descriptive Geometry (Classic Reprint)

Author: J. B. Millar

Publisher: Forgotten Books

Published: 2017-12-20

Total Pages: 224

ISBN-13: 9780484214667

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Excerpt from Elements of Descriptive Geometry I may add that I have never lost sight of the practical nature of the subject, and have introduced only so much theory as seemed to me necessary to place the practice on a proper footing. 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.


Book Synopsis Elements of Descriptive Geometry (Classic Reprint) by : J. B. Millar

Download or read book Elements of Descriptive Geometry (Classic Reprint) written by J. B. Millar and published by Forgotten Books. This book was released on 2017-12-20 with total page 224 pages. Available in PDF, EPUB and Kindle. Book excerpt: Excerpt from Elements of Descriptive Geometry I may add that I have never lost sight of the practical nature of the subject, and have introduced only so much theory as seemed to me necessary to place the practice on a proper footing. 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.


Descriptive Geometry

Descriptive Geometry

Author: Victor T. Wilson

Publisher: Forgotten Books

Published: 2018-03-23

Total Pages: 270

ISBN-13: 9780365238751

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Excerpt from Descriptive Geometry: A Treatise From a Mathematical Standpoint, Together With a Collection of Exercises and Practical Applications As an illustration of the generalized treatment throughout, attention may be called to the discussion of the cone. A common conception of a cone is that of a right circular cone, or cone of revolution. A generalized definition is given, however, to include all the surfaces which may be generated by a right line moving so as to pass through a fixed point and touch a curve. Further, it is stated that every cone is generically a right cone, and may be specifically named from the shape of a cross section so taken that a perpendicular, let fall from the fixed point or apex to the plane of the section, will pierce the latter in the center, focus, or other characteristic point, as a cusp, point of inflection, etc., etc. 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.


Book Synopsis Descriptive Geometry by : Victor T. Wilson

Download or read book Descriptive Geometry written by Victor T. Wilson and published by Forgotten Books. This book was released on 2018-03-23 with total page 270 pages. Available in PDF, EPUB and Kindle. Book excerpt: Excerpt from Descriptive Geometry: A Treatise From a Mathematical Standpoint, Together With a Collection of Exercises and Practical Applications As an illustration of the generalized treatment throughout, attention may be called to the discussion of the cone. A common conception of a cone is that of a right circular cone, or cone of revolution. A generalized definition is given, however, to include all the surfaces which may be generated by a right line moving so as to pass through a fixed point and touch a curve. Further, it is stated that every cone is generically a right cone, and may be specifically named from the shape of a cross section so taken that a perpendicular, let fall from the fixed point or apex to the plane of the section, will pierce the latter in the center, focus, or other characteristic point, as a cusp, point of inflection, etc., etc. 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.


Note-Book on Practical Solid Or Descriptive Geometry

Note-Book on Practical Solid Or Descriptive Geometry

Author: J. H. Edgar

Publisher: Forgotten Books

Published: 2018-03-12

Total Pages: 282

ISBN-13: 9780364384978

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Excerpt from Note-Book on Practical Solid or Descriptive Geometry: Containing Problems With Help for Solutions IN teaching a large 'class, if the method of lecturing and demonstrating from the black - board only is pursued, the l more intelligent students have generally to be kept back, from the necessity of frequent repetition, for the sake of u/ the less promising; if the plan of setting problems to each pupil is adopted, the teacher finds a difficulty in giving to each sufficient attention. A judicious combination of both methods is doubtless the best, though this is not always easy of attainment in working with numbers - the use of this book may help in accomplishing it. It is suggested that at the beginning of a chapter, and in some cases with each problem, the teacher should give a black-board explanation, carefully pointing out any fresh steps, before sending his pupils to their work. The number I of examples in each chapter to be worked out by the student is, of course, left to the teacher's judgment of the progress and requirements of his pupil. 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.


Book Synopsis Note-Book on Practical Solid Or Descriptive Geometry by : J. H. Edgar

Download or read book Note-Book on Practical Solid Or Descriptive Geometry written by J. H. Edgar and published by Forgotten Books. This book was released on 2018-03-12 with total page 282 pages. Available in PDF, EPUB and Kindle. Book excerpt: Excerpt from Note-Book on Practical Solid or Descriptive Geometry: Containing Problems With Help for Solutions IN teaching a large 'class, if the method of lecturing and demonstrating from the black - board only is pursued, the l more intelligent students have generally to be kept back, from the necessity of frequent repetition, for the sake of u/ the less promising; if the plan of setting problems to each pupil is adopted, the teacher finds a difficulty in giving to each sufficient attention. A judicious combination of both methods is doubtless the best, though this is not always easy of attainment in working with numbers - the use of this book may help in accomplishing it. It is suggested that at the beginning of a chapter, and in some cases with each problem, the teacher should give a black-board explanation, carefully pointing out any fresh steps, before sending his pupils to their work. The number I of examples in each chapter to be worked out by the student is, of course, left to the teacher's judgment of the progress and requirements of his pupil. 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.


Descriptive Geometry (Classic Reprint)

Descriptive Geometry (Classic Reprint)

Author: Adam V. Millar

Publisher: Forgotten Books

Published: 2018-01-16

Total Pages: 142

ISBN-13: 9780483192713

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Excerpt from Descriptive Geometry In preparing the following text in descriptive geometry, the authors have endeavored (1) to make the subject easier for the student, (2) to help the student to visualize magnitudes in space, and (3) to present the subject more nearly in accord with commercial practice. 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.


Book Synopsis Descriptive Geometry (Classic Reprint) by : Adam V. Millar

Download or read book Descriptive Geometry (Classic Reprint) written by Adam V. Millar and published by Forgotten Books. This book was released on 2018-01-16 with total page 142 pages. Available in PDF, EPUB and Kindle. Book excerpt: Excerpt from Descriptive Geometry In preparing the following text in descriptive geometry, the authors have endeavored (1) to make the subject easier for the student, (2) to help the student to visualize magnitudes in space, and (3) to present the subject more nearly in accord with commercial practice. 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.


Descriptive Geometry

Descriptive Geometry

Author: William S. Hall

Publisher: Forgotten Books

Published: 2018-02-04

Total Pages: 128

ISBN-13: 9780267799367

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Excerpt from Descriptive Geometry: With Numerous Problems and Practical Applications By having several modifications under each problem, blackboard work can be readily assigned to the members of a class in recita tion, and no two students need be given exactly the same work. If the student is required to be prepared to make the con struction for each problem under all possible conditions, a thor ough understanding of the problem is necessary. A large number of carefully arranged problems and some practical applications are given. The first few problems on the point, line, and plane are fully analyzed. Then follows a list of problems left to the student for solution. In the part of the book devoted to curves and curved surfaces, more problems are analyzed and fewer are left to the student to solve without assistance. The importance of the study of Descriptive Geometry, both for mental discipline and on account of its industrial utility, is very ably set forth in two quotations that are given at the end of the introductory chapter. 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.


Book Synopsis Descriptive Geometry by : William S. Hall

Download or read book Descriptive Geometry written by William S. Hall and published by Forgotten Books. This book was released on 2018-02-04 with total page 128 pages. Available in PDF, EPUB and Kindle. Book excerpt: Excerpt from Descriptive Geometry: With Numerous Problems and Practical Applications By having several modifications under each problem, blackboard work can be readily assigned to the members of a class in recita tion, and no two students need be given exactly the same work. If the student is required to be prepared to make the con struction for each problem under all possible conditions, a thor ough understanding of the problem is necessary. A large number of carefully arranged problems and some practical applications are given. The first few problems on the point, line, and plane are fully analyzed. Then follows a list of problems left to the student for solution. In the part of the book devoted to curves and curved surfaces, more problems are analyzed and fewer are left to the student to solve without assistance. The importance of the study of Descriptive Geometry, both for mental discipline and on account of its industrial utility, is very ably set forth in two quotations that are given at the end of the introductory chapter. 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.


Notes on Descriptive Geometry With Exercises (Classic Reprint)

Notes on Descriptive Geometry With Exercises (Classic Reprint)

Author: William L. Ames

Publisher: Forgotten Books

Published: 2018-02-04

Total Pages: 92

ISBN-13: 9780332967769

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Excerpt from Notes on Descriptive Geometry With Exercises In the study of Descriptive Geometry, however - with few exceptions - the first angle projection is taught. The writer, realizing that the methods taught should harmonize with the practical application in mechanical drawing as practiced, has for some time used the third angle in teaching Descriptive Geometry. There being no text books so arranged, notes were prepared for the students' use, and with such revision as four years' use in the class room would seem to indicate as desirable, these notes are now published. 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.


Book Synopsis Notes on Descriptive Geometry With Exercises (Classic Reprint) by : William L. Ames

Download or read book Notes on Descriptive Geometry With Exercises (Classic Reprint) written by William L. Ames and published by Forgotten Books. This book was released on 2018-02-04 with total page 92 pages. Available in PDF, EPUB and Kindle. Book excerpt: Excerpt from Notes on Descriptive Geometry With Exercises In the study of Descriptive Geometry, however - with few exceptions - the first angle projection is taught. The writer, realizing that the methods taught should harmonize with the practical application in mechanical drawing as practiced, has for some time used the third angle in teaching Descriptive Geometry. There being no text books so arranged, notes were prepared for the students' use, and with such revision as four years' use in the class room would seem to indicate as desirable, these notes are now published. 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 Descriptive Geometry (Classic Reprint)

Elementary Descriptive Geometry (Classic Reprint)

Author: C. H. McLeod

Publisher: Forgotten Books

Published: 2017-12-23

Total Pages: 152

ISBN-13: 9780484523615

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Excerpt from Elementary Descriptive Geometry The object of this volume is to put into concise form What the Author considers the minimum requirement of knowledge of the subject of Descriptive Geometry for stu dents entering on an engineering course. It is desirable where possible that the text should be supplemented by blackboard demonstration and individual classroom instruction. 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.


Book Synopsis Elementary Descriptive Geometry (Classic Reprint) by : C. H. McLeod

Download or read book Elementary Descriptive Geometry (Classic Reprint) written by C. H. McLeod and published by Forgotten Books. This book was released on 2017-12-23 with total page 152 pages. Available in PDF, EPUB and Kindle. Book excerpt: Excerpt from Elementary Descriptive Geometry The object of this volume is to put into concise form What the Author considers the minimum requirement of knowledge of the subject of Descriptive Geometry for stu dents entering on an engineering course. It is desirable where possible that the text should be supplemented by blackboard demonstration and individual classroom instruction. 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.


Practical Descriptive Geometry

Practical Descriptive Geometry

Author: William Griswold Smith

Publisher: Forgotten Books

Published: 2015-06-15

Total Pages: 269

ISBN-13: 9781330307533

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Excerpt from Practical Descriptive Geometry The first edition of this book, published in 1912, represented the author's views on the presentation of Descriptive Geometry, so as to arouse the student's interest in the subject without sacrificing rigorous training in the principles. In three years the text has been used in many schools, and the present, second edition, aims to embody the suggestions of many leading teachers of the subject, who have, at the request of the author and publishers, expressed their views as to this development. The main idea of the first edition, that of "practicality," has been adhered to and amplified. The most important changes are: 1. The division into more chapters. 2. A more logical sequence for certain portions of the text. 3. The notation of points and planes. 4. Graphic layouts for exercises. 5. More exercises of a practical nature, embracing more lines of engineering endeavor. 6. A number of new solutions, utilizing auxiliary planes more frequently. 7. A better system of perspective drawing. 8. A chapter on the intersections of plane solids. Although yielding to the request of several teachers for the inclusion of graphic layouts of exercises, the author still believes that dimensioned layouts are of great value despite the amount of time expended on the layout itself. With both of these, however, in practically unlimited quantity, the instructor may decide the question for himself. The layouts of both kinds have been made so flexible by interchanging and substituting data, that the number of variations is almost incalculable. This removes the objection, expressed by some teachers, to a definite and limited number of exercises, the solutions of which are sometimes preserved by student organizations. No such collection of solutions will benefit future classes, as the exercises can be made entirely different each succeeding year. 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.


Book Synopsis Practical Descriptive Geometry by : William Griswold Smith

Download or read book Practical Descriptive Geometry written by William Griswold Smith and published by Forgotten Books. This book was released on 2015-06-15 with total page 269 pages. Available in PDF, EPUB and Kindle. Book excerpt: Excerpt from Practical Descriptive Geometry The first edition of this book, published in 1912, represented the author's views on the presentation of Descriptive Geometry, so as to arouse the student's interest in the subject without sacrificing rigorous training in the principles. In three years the text has been used in many schools, and the present, second edition, aims to embody the suggestions of many leading teachers of the subject, who have, at the request of the author and publishers, expressed their views as to this development. The main idea of the first edition, that of "practicality," has been adhered to and amplified. The most important changes are: 1. The division into more chapters. 2. A more logical sequence for certain portions of the text. 3. The notation of points and planes. 4. Graphic layouts for exercises. 5. More exercises of a practical nature, embracing more lines of engineering endeavor. 6. A number of new solutions, utilizing auxiliary planes more frequently. 7. A better system of perspective drawing. 8. A chapter on the intersections of plane solids. Although yielding to the request of several teachers for the inclusion of graphic layouts of exercises, the author still believes that dimensioned layouts are of great value despite the amount of time expended on the layout itself. With both of these, however, in practically unlimited quantity, the instructor may decide the question for himself. The layouts of both kinds have been made so flexible by interchanging and substituting data, that the number of variations is almost incalculable. This removes the objection, expressed by some teachers, to a definite and limited number of exercises, the solutions of which are sometimes preserved by student organizations. No such collection of solutions will benefit future classes, as the exercises can be made entirely different each succeeding year. 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.