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Sinopsis
Foundations of Plane and Solid Geometry offers a clear, step-by-step approach to geometric reasoning from first principles, with constructions, proofs, and practice built in.
This edition guides readers through definitions, postulates, and axioms, then shows how to apply them to plane and solid figures with careful demonstrations and plenty of exercises. Structured to build confidence, the book presents both the theory and the hands-on work needed to master geometry. Readers will encounter detailed methods for drawing and proving geometric results, along with problems that reinforce the concepts and extend understanding through variations and new challenges.
- Step-by-step constructions and proofs that connect each idea to its use in problems
- Comprehensive coverage of plane figures, circles, polygons, and basic solids
- Extensive exercises that strengthen practice and deepen understanding
- A foundation for later topics in geometry, including areas, volumes, and three-dimensional figures
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Reseña del editor
Excerpt from Plane and Solid Geometry
The study of Geometry is pursued with a threefold purpose,
1. To aid in the development of logical reasoning.
2. To stimulate the use of accurate and precise forms of expression.
3. To acquire facts and principles that may be of practical value in subsequent life.
The first two purposes are advocated because of their disciplinary importance; and when mathematics, because of its exactness, was the only science which furthered to a high degree these purposes, it was necessary for the student to devote a large part of his time to their study. But now other sciences, and even the languages and philosophy, claim disciplinary merit equal to that possessed by mathematics, although differing somewhat in the character of the training.
Hence it appears that the time has come when we can afford to hearken to the demands of the utilitarians, and give up those refinements in mathematics which have been retained for the mental discipline they bring about, but which are wholly lacking in practical application.
I have therefore, out of an experience as a computer and worker in applied mathematics, as well as a teacher, eliminated from this treatise all propositions that are not of practical value or needed in the demonstration of such 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.
Reseña del editor
Geometry is pursued with a threefold purpose. 1. To aid in the-development of logical reasoning. 2. To stimulate the use of accurate and precise forms of expression. 3. To acquire facts and principles that may be of practical value in subsequent life. The first two purposes are advocated because of their disciplinary importance; and when mathematics, because of its exactness, was the only science which furthered to a high degree these purposes, it was necessary for the student to devote a large part of his time to their study. But now other sciences, and even the languages and philosophy, claim disciplinary merit equal to that possessed by mathematics, although differing somewhat in the character of the training. Hence it appears that the time has come when we can afford to hearken to the demands of the utilitarians, and give up those refinements in mathematics which have been retained for the mental discipline they bring about, but which are wholly lacking in practical application. I have therefore, out of an experience as a computer and worker in applied mathematics, as well as a teacher, eliminated from this treatise all propositions that are not of practical value or needed in the demonstration of such propositions.
(Typographical errors above are due to OCR software and don't occur in the book.)
About the Publisher
Forgotten Books is a publisher of historical writings, such as: Philosophy, Classics, Science, Religion, History, Folklore and Mythology.
Forgotten Books' Classic Reprint Series utilizes the latest technology to regenerate facsimiles of historically important writings. Careful attention has been made to accurately preserve the original format of each page whilst digitally enhancing the aged text. Read books online for free at www.forgottenbooks.org
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Plane and Solid Geometry (Classic Reprint)
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Paperback. Condición: New. Print on Demand. This book explores the foundations of geometry, a branch of mathematics critical to the development of science. The author begins with the essential concepts of lines, angles, and polygons. Building upon these cornerstones, the book presents theorems for calculating the area of polygons, the construction of regular polygons, and the measurement of circles. Through these ideas and their applications, the author encapsulates the enduring influence of geometry on fields as diverse as architecture, engineering, and astronomy, with applications presented from ancient Greek sources. The book concludes with an examination of the sphere and spherical angles, reinforcing geometry's pervasive usefulness. This book is a reproduction of an important historical work, digitally reconstructed using state-of-the-art technology to preserve the original format. In rare cases, an imperfection in the original, such as a blemish or missing page, may be replicated in the book. print-on-demand item. Nº de ref. del artículo: 9781440036224_0
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Plane and Solid Geometry Classic Reprint
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PAP. Condición: New. New Book. Shipped from UK. Established seller since 2000. Nº de ref. del artículo: LW-9781440036224
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Plane and Solid Geometry Classic Reprint
Librería: PBShop.store UK, Fairford, GLOS, Reino Unido
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PAP. Condición: New. New Book. Shipped from UK. Established seller since 2000. Nº de ref. del artículo: LW-9781440036224
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Plane and Solid Geometry (Classic Reprint)
Impresión bajo demandaLibrería: Revaluation Books, Exeter, Reino Unido
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Paperback. Condición: Brand New. 264 pages. 9.00x6.00x0.60 inches. This item is printed on demand. Nº de ref. del artículo: zk1440036225
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