geometry a high school course

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Geometry

Author : S. Lang
ISBN : 9781475717976
Genre : Science
File Size : 81. 27 MB
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A geometry course based on this book was taught success fully by Gene Murrow for several years. We are much indebted to Springer-Verlag for publishing Geometry, so that others can try our approach. The publishers and we thought it would be appropriate to issue the book first in a preliml. nary edition, on which we would welcome comments, especially from students and teachers of the high school geometry course. Such comments can bear on any aspect of Geometry, ranging from the choice of topics, the ordering of the topics, and other global considerations, to possible computational errors and misprints. We shall welcome criticisms and suggestions. Serge Lang Gene Murrow Contents Theorems Proved in Geometry xi xvii Introduction CHAPTER 1 -Distance and Angles 51. Lines 1 52. Distance 12 53. Angles 20 54. Proofs 43 55. Right Angles and Perpendicularity 52 86. The Angles of a Triangle 65 CHAPTER 2 - Coordinates 51. Coordinate Systems 85 52. Distance between Points on a Line 94 53. Equation of a Line 96 CHAPTER 3 - Area and the Pythagoras Theorem 51. The Area of a Triangle 107 S2. The Pythagoras Theorem 125 viii CONTENTS CHAPTER 4 - The Distance Formula Sl. Distance between Arbitrary Points 142 S2. Higher Dimensional Space 148 S3. Equation of a Circle 155 CHAPTER 5 - Some Applications of Right Triangles S1. Perpendicular Bisector 162 S2. Isosceles and Equilateral Triangles 175 S3. Theorems About Circles 190 CHAPTER 6 - Polygons S1.

A High School First Course In Euclidean Plane Geometry

Author : Charles H. Aboughantous
ISBN : 9781599428222
Genre : Mathematics
File Size : 61. 78 MB
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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.

Solutions Manual For Geometry

Author : Philip Carlson
ISBN : 9781461208617
Genre : Education
File Size : 30. 3 MB
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This book presents the worked-out solutions for all the exercises in the text by Lang and Murrow. It will be of use not only to mathematics teachers, but also to students using the text for self-study.

Geometry A Comprehensive Course

Author : Dan Pedoe
ISBN : 9780486131733
Genre : Mathematics
File Size : 24. 98 MB
Format : PDF, Kindle
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Introduction to vector algebra in the plane; circles and coaxial systems; mappings of the Euclidean plane; similitudes, isometries, Moebius transformations, much more. Includes over 500 exercises.

Euclidean Geometry

Author : Mark Solomonovich
ISBN : 9781440153488
Genre : Education
File Size : 47. 13 MB
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This textbook is a self-contained presentation of Euclidean Geometry, a subject that has been a core part of school curriculum for centuries. The discussion is rigorous, axiom-based, written in a traditional manner, true to the Euclidean spirit. Transformations in the Euclidean plane are included as part of the axiomatics and as a tool for solving construction problems. The textbook can be used for teaching a high school or an introductory level college course. It can be especially recommended for schools with enriched mathematical programs and for homeschoolers looking for a rigorous traditional discussion of geometry. The text is supplied with over 1200 questions and problems, ranging from simple to challenging. The solutions sections of the book contain about 200 answers and hints to solutions and over 100 detailed solutions involving proofs and constructions. More solutions and some supplements for teachers are available in the Instructor?s Manual, which is issued as a separate book. From the Reviews... ?In terms of presentation, this text is more rigorous than any existing high school textbook that I know of. It is based on a system of axioms that describe incidence, postulate a notion of congruence of line segments, and assume the existence of enough rigid motions ("free mobility")? My gut reaction to the book is, wouldn't it be wonderful if American high school students could be exposed to this serious mathematical treatment of elementary geometry, instead of all the junk that is presented to them in existing textbooks. This book makes no concession to the TV-generation of students who want (or is it the publishers who want it for them?) pretty pictures, side bars, puzzles, games, historical references, cartoons, and all those colored images that clutter the pages of a typical modern textbook, while the mathematical content is diluted more and more with each successive edition.? Professor Robin Hartshorne, University of California at Berkeley. ?The textbook ?Euclidean Geometry? by Mark Solomonovich fills a big gap in the plethora of mathematical textbooks ? it provides an exposition of classical geometry with emphasis on logic and rigorous proofs? I would be delighted to see this textbook used in Canadian schools in the framework of an improved geometry curriculum. Until this day comes, I highly recommend ?Euclidean Geometry? by Mark Solomonovich to be used in Mathematics Enrichment Programs across Canada and the USA.? Professor Yuly Billig, Carlton University.

A First Course In Geometry

Author : Edward T Walsh
ISBN : 9780486796680
Genre : Mathematics
File Size : 46. 17 MB
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Suitable for college courses, this introductory text covers the language of mathematics, geometric sets of points, separation and angles, triangles, parallel lines, similarity, polygons and area, circles, and space and coordinate geometry. 1974 edition.

A Course In The Geometry Of N Dimensions

Author : Maurice G. Kendall
ISBN : 9780486439273
Genre : Mathematics
File Size : 41. 23 MB
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This text for undergraduate students provides a foundation for resolving proofs dependent on n-dimensional systems. The two-part treatment begins with simple figures in n dimensions and advances to examinations of the contents of hyperspheres, hyperellipsoids, hyperprisms, etc. The second part explores the mean in rectangular variation, the correlation coefficient in bivariate normal variation, Wishart's distribution, more. 1961 edition.

Geometry

Author : Serge Lang
ISBN : OCLC:878132192
Genre :
File Size : 60. 97 MB
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Geometry

Author : Harold R. Jacobs
ISBN : 0716743612
Genre : Mathematics
File Size : 77. 1 MB
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Harold Jacobs's Geometry created a revolution in the approach to teaching this subject, one that gave rise to many ideas now seen in the NCTM Standards. Since its publication nearly one million students have used this legendary text. Suitable for either classroom use or self-paced study, it uses innovative discussions, cartoons, anecdotes, examples, and exercises that unfailingly capture and hold student interest. This edition is the Jacobs for a new generation. It has all the features that have kept the text in class by itself for nearly 3 decades, all in a thoroughly revised, full-color presentation that shows today's students how fun geometry can be. The text remains proof-based although the presentation is in the less formal paragraph format. The approach focuses on guided discovery to help students develop geometric intuition.

Building The General Relativity And Gravitation Community During The Cold War

Author : Roberto Lalli
ISBN : 9783319546544
Genre : Science
File Size : 77. 13 MB
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This monograph presents a new perspective on the history of general relativity. It outlines the attempts to establish an institutional framework for the promotion of the field during the Cold War. Readers will learn the difficulties that key figures experienced and overcame during this period of global conflict. The author analyzes the subtle interconnections between scientific and political factors. He shows how politics shaped the evolution of general relativity, even though it is a field with no military applications. He also details how different scientists held quite different views about what “political” meant in their efforts to pursue international cooperation. The narrative examines the specific epistemic features of general relativity that helped create the first official, international scientific society. It answers: Why did relativity bring about this unique result? Was it simply the product of specific actions of particular actors having an illuminated view of international relations in the specific context of the Cold War? Or, was there something in the nature of the field that inspired the actors to pioneer new ways of international cooperation? The book will be of interest to historians of modern science, historians of international relations, and historians of institutions. It will also appeal to physicists and interested general readers.

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