Proof in Geometry

Proof in Geometry

Author: A. I. Fetisov

Publisher: Courier Corporation

Published: 2012-06-11

Total Pages: 130

ISBN-13: 0486154920

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This single-volume compilation of 2 books explores the construction of geometric proofs. It offers useful criteria for determining correctness and presents examples of faulty proofs that illustrate common errors. 1963 editions.


Geometry Proofs Essential Practice Problems Workbook with Full Solutions

Geometry Proofs Essential Practice Problems Workbook with Full Solutions

Author: Chris McMullen

Publisher:

Published: 2019-05-24

Total Pages: 206

ISBN-13: 9781941691502

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This geometry workbook includes: 64 proofs with full solutions, 9 examples to help serve as a guide, and a review of terminology, notation, and concepts. A variety of word topics are covered, including: similar and congruent triangles, the Pythagorean theorem, circles, chords, tangents, alternate interior angles, the triangle inequality, the angle sum theorem, quadrilaterals, regular polygons, area of plane figures, inscribed and circumscribed figures, and the centroid of a triangle. The author, Chris McMullen, Ph.D., has over twenty years of experience teaching math skills to physics students. He prepared this workbook to share his strategies for writing geometry proofs.


Plane Geometry Practice Workbook with Answers

Plane Geometry Practice Workbook with Answers

Author: Chris McMullen

Publisher: Zishka Publishing

Published: 2021-03-15

Total Pages: 204

ISBN-13: 9781941691892

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Learn and practice essential geometry skills. The answer to every problem, along with helpful notes, can be found at the back of the book. This volume focuses on fundamental concepts relating to circles, including chords, secants, tangents, and inscribed/circumscribed polygons. Topics include: radius, diameter, circumference, and area; chords, secants, and tangents; sectors vs. segments; inscribed and circumscribed shapes; the arc length formula; degrees and radians; inscribed angles; Thales's theorem; and an introduction to 3D objects, including the cube, prism, pyramid, sphere, cylinder, and cone. The author, Chris McMullen, Ph.D., has over twenty years of experience teaching math skills to physics students. He prepared this workbook of the Improve Your Math Fluency series to share his strategies for solving geometry problems and formulating proofs.


Problems and Solutions in Euclidean Geometry

Problems and Solutions in Euclidean Geometry

Author: M. N. Aref

Publisher: Courier Corporation

Published: 2010-01-01

Total Pages: 274

ISBN-13: 0486477207

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Based on classical principles, this book is intended for a second course in Euclidean geometry and can be used as a refresher. Each chapter covers a different aspect of Euclidean geometry, lists relevant theorems and corollaries, and states and proves many propositions. Includes more than 200 problems, hints, and solutions. 1968 edition.


Plane Geometry Practice Workbook with Answers

Plane Geometry Practice Workbook with Answers

Author: Chris McMullen

Publisher:

Published: 2021-01-20

Total Pages: 210

ISBN-13: 9781941691885

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Learn and practice essential geometry skills. The answer to every problem, along with helpful notes, can be found at the back of the book. This volume focuses on fundamental concepts relating to triangles, and also covers quadrilaterals and other polygons. Topics include: lines, angles, and transversals; angles of a triangle; congruent triangles; similar triangles and ratiosright triangles, including the Pythagorean theorem and special triangles; perimeter and area of a triangle, including Heron's formula; thorough coverage of bisectors, medians, and altitudes, including the incenter, circumcenter, centroid, and orthocenter (though the concepts of inscribed or circumscribed circles are reserved for Volume 2); the triangle inequality; quadrilaterals; and polygons. The author, Chris McMullen, Ph.D., has over twenty years of experience teaching math skills to physics students. He prepared this workbook of the Improve Your Math Fluency series to share his strategies for solving geometry problems and formulating proofs.


Geometry Made Simple

Geometry Made Simple

Author: Kathleen Eernisse

Publisher: Frank Schaffer Publications Incorporated

Published: 2001-09-11

Total Pages: 80

ISBN-13: 9780768202625

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Now it's simple to make Algebra and Geometry fun and exciting. Includes background information, extension activities, group learning, school-home connections, and student activities for a variety of teaching units. An easy-to-use teacher resource that makes learning fun!


The Humongous Book of Algebra Problems

The Humongous Book of Algebra Problems

Author: W. Michael Kelley

Publisher: Penguin

Published: 2008-07

Total Pages: 576

ISBN-13: 9781592577224

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Presents algebra exercises with easy-to-follow guidelines, and includes over one thousand problems in numerous algebraic topics.


Machine Proofs in Geometry

Machine Proofs in Geometry

Author: Shang-Ching Chou

Publisher: World Scientific

Published: 1994

Total Pages: 490

ISBN-13: 9789810215842

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This book reports recent major advances in automated reasoning in geometry. The authors have developed a method and implemented a computer program which, for the first time, produces short and readable proofs for hundreds of geometry theorems.The book begins with chapters introducing the method at an elementary level, which are accessible to high school students; latter chapters concentrate on the main theme: the algorithms and computer implementation of the method.This book brings researchers in artificial intelligence, computer science and mathematics to a new research frontier of automated geometry reasoning. In addition, it can be used as a supplementary geometry textbook for students, teachers and geometers. By presenting a systematic way of proving geometry theorems, it makes the learning and teaching of geometry easier and may change the way of geometry education.


Practice Makes Perfect Geometry

Practice Makes Perfect Geometry

Author: Carolyn Wheater

Publisher: McGraw Hill Professional

Published: 2010-05-26

Total Pages: 158

ISBN-13: 007163813X

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A no-nonsense practical guide to geometry, providing concise summaries, clear model examples, and plenty of practice, making this workbook the ideal complement to class study or self-study, preparation for exams or a brush-up on rusty skills. About the Book Established as a successful practical workbook series with more than 20 titles in the language learning category, Practice Makes Perfect now provides the same clear, concise approach and extensive exercises to key fields within mathematics. The key to the Practice Makes Perfect series is the extensive exercises that provide learners with all the practice they need for mastery. Not focused on any particular test or exam, but complementary to most geometry curricula Deliberately all-encompassing approach: international perspective and balance between traditional and newer approaches. Large trim allows clear presentation of worked problems, exercises, and explained answers. Features No-nonsense approach: provides clear presentation of content. Over 500 exercises and answers covering all aspects of geometry Successful series: "Practice Makes Perfect" has sales of 1,000,000 copies in the language category – now applied to mathematics Workbook is not exam specific, yet it provides thorough coverage of the geometry skills required in most math tests.


Master Essential Algebra Skills Practice Workbook with Answers: Improve Your Math Fluency

Master Essential Algebra Skills Practice Workbook with Answers: Improve Your Math Fluency

Author: Chris Mcmullen

Publisher:

Published: 2020-08-23

Total Pages: 390

ISBN-13: 9781941691342

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Master essential algebra skills through helpful explanations, instructive examples, and plenty of practice exercises with full solutions. Authored by experienced teacher, Chris McMullen, Ph.D., this algebra book covers: distributing and factoring the FOIL method cross multiplying quadratic equations and the quadratic formula how to combine like terms and isolate the unknown an explanation of what algebra is a variety of rules for working with exponents solving systems of equations using substitution, simultaneous equations, or Cramer's rule algebra with inequalities The author, Chris McMullen, Ph.D., has over twenty years of experience teaching math skills to physics students. He prepared this workbook of the Improve Your Math Fluency series to share his strategies for solving algebra problems.