The Development of Practical Problems in Plane Geometry Text Books PDF Download
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Author: Virginia Keith Robertson
Publisher:
ISBN:
Category :
Languages : en
Pages : 110
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Author: Virginia Keith Robertson
Publisher:
ISBN:
Category :
Languages : en
Pages : 110
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Author: John Lowres
Publisher:
ISBN:
Category :
Languages : en
Pages : 130
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Author: Charles H. Aboughantous
Publisher: Universal-Publishers
ISBN: 1599428229
Category : Mathematics
Languages : en
Pages : 166
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Book Description
A High School First Course in Euclidean Plane Geometry is intended to be a first course in plane geometry at the high school level. Individuals who do not have a formal background in geometry can also benefit from studying the subject using this book. The content of the book is based on Euclid's five postulates of plane geometry and the most common theorems. It promotes the art and the skills of developing logical proofs. Most of the theorems are provided with detailed proofs. A large number of sample problems are presented throughout the book with detailed solutions. Practice problems are included at the end of each chapter and are presented in three groups: geometric construction problems, computational problems, and theorematical problems. The answers to the computational problems are included at the end of the book. Many of those problems are simplified classic engineering problems that can be solved by average students. The detailed solutions to all the problems in the book are contained in the Solutions Manual. A High School First Course in Euclidean Plane Geometry is the distillation of the author's experience in teaching geometry over many years in U.S. high schools and overseas. The book is best described in the introduction. The prologue offers a study guide to get the most benefits from the book.
Author: Victor Gutenmacher
Publisher: Springer Science & Business Media
ISBN: 1475738099
Category : Mathematics
Languages : en
Pages : 166
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Book Description
Broad appeal to undergraduate teachers, students, and engineers; Concise descriptions of properties of basic planar curves from different perspectives; useful handbook for software engineers; A special chapter---"Geometry on the Web"---will further enhance the usefulness of this book as an informal tutorial resource.; Good mathematical notation, descriptions of properties of lines and curves, and the illustration of geometric concepts facilitate the design of computer graphics tools and computer animation.; Video game designers, for example, will find a clear discussion and illustration of hard-to-understand trajectory design concepts.; Good supplementary text for geometry courses at the undergraduate and advanced high school levels
Author: Harvey I. Blau
Publisher:
ISBN: 9780130479549
Category : Mathematics
Languages : en
Pages : 0
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Book Description
Ideal for users who may have little previous experience with abstraction and proof, this book provides a rigorous and unified--yet straightforward and accessible --exposition of the foundations of Euclidean, hyperbolic, and spherical geometry. Unique in approach, it combines an extended theme--the study of a generalized absolute plane from axioms through classification into the three fundamental classical planes--with a leisurely development that allows ample time for mathematical growth. It is purposefully structured to facilitate the development of analytic and reasoning skills and to promote an awareness of the depth, power, and subtlety of the axiomatic method in general, and of Euclidean and non-Euclidean plane geometry in particular. Focus on one main topic--The axiomatic development of the absolute plane--which is pursued through a classification into Euclidean, hyperbolic, and spherical planes. Presents specific models such as the sphere, the Klein-Betrami hyperbolic model, and the "gap" plane. Gradually presents axioms for absolute plane geometry.
Author: John William Palliser
Publisher:
ISBN:
Category :
Languages : en
Pages : 67
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Author: University of the Philippines
Publisher:
ISBN:
Category :
Languages : en
Pages : 224
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Author: C. A. Hart
Publisher: Forgotten Books
ISBN: 9781330277645
Category : Mathematics
Languages : en
Pages : 504
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Book Description
Excerpt from Plane and Solid Geometry This book is the outgrowth of an experience of many years in the teaching of mathematics in secondary schools. The text has been used by many different teachers, in classes of all stages of development, and under varying conditions of secondary school teaching. The proofs have had the benefit of the criticisms of hundreds of experienced teachers of mathematics throughout the country. The book in its present form is therefore the combined product of experience, classroom test, and severe criticism. The following are some of the leading features of the book: The student is rapidly initiated into the subject. Definitions are given only as needed. The selection and arrangement of theorems is such as to meet the general demand of teachers, as expressed through the Mathematical Associations of the country. Most of the proofs have been given in full. In the Plane Geometry, proofs of some of the easier theorems and constructions are left as exercises for the student, or are given in an incomplete form. In the Solid Geometry, more proofs and parts of proofs are thus left to the student; but in every case in which the proof is not complete, the incompleteness is specifically stated. The indirect method of proof is consistently applied. The usual method of proving such propositions, for example, as Arts.189 and 415, is confusing to the student. The method used here is convincing and clear. The exercises are carefully selected. In choosing exercises, each of the following groups has been given due importance: (a) Concrete exercises, including numerical problems and problems of construction.(b) So-called practical problems, such as indirect measurements of heights and distances by means of equal and similar triangles, drawing to scale as an application of similar figures, problems from physics, from design, 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.
Author: Henry Angel
Publisher: Legare Street Press
ISBN: 9781021442185
Category :
Languages : en
Pages : 0
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Book Description
This textbook is a comprehensive guide to plane and solid geometry, with a focus on practical applications. It also includes a section on graphic arithmetic, providing students with the tools they need to solve complex mathematical problems. The book is an essential resource for students of mathematics, engineering, and architecture, as well as for anyone seeking to improve their geometric skills. 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.
Author: Henry Africk
Publisher:
ISBN: 9780759341906
Category : Geometry
Languages : en
Pages : 369
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Book Description
