Solutions Manual to Accompany Classical Geometry E-Book

I. E. Leonard

• Herausgeber: John Wiley & Sons
• Kategorie: Wissenschaft und neue Technologien
• Sprache: Englisch
• Veröffentlichungsjahr: 2014

Seitenzahl: 126

Beschreibung

Solutions Manual to Accompany Classical Geometry: Euclidean, Transformational, Inversive, and Projective Written by well-known mathematical problem solvers, Classical Geometry: Euclidean, Transformational, Inversive, and Projective features up-to-date and applicable coverage of the wide spectrum of geometry and aids readers in learning the art of logical reasoning, modeling, and proof. With its reader-friendly approach, this undergraduate text features self-contained topical coverage and provides a large selection of solved exercises to aid in reader comprehension. Material in this text can be tailored for a one-, two-, or three-semester sequence.

Leseprobe

Contents

Cover

Half Title page

Title page

Copyright page

Part I: Euclidean Geometry

Chapter 1: Congruency

Chapter 2: Concurrency

Chapter 3: Similarity

Chapter 4: Theorems of Ceva and Menelaus

Chapter 5: Area

Chapter 6: Miscellaneous Topics

Part II: Transformational Geometry

Chapter 7: Euclidean Transformations

Chapter 8: The Algebra of Isometries

Chapter 9: The Product of Direct Isometries

Chapter 10: Symmetry and Groups

Chapter 11: Homotheties

Chapter 12: Tessellations

Part III: Inversive and Projective Geometries

Chapter 13: Introduction to Inversive Geometry

Chapter 14: Reciprocation and the Extended Plane

Chapter 15: Cross Ratios

Chapter 16: Introduction to Projective Geometry

Solutions Manual to Accompany Classical Geometry

Copyright © 2014 by John Wiley & Sons, Inc. All rights reserved.

Published by John Wiley & Sons, Inc., Hoboken, New Jersey. Published simultaneously in Canada.

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Library of Congress Cataloging-in-Publication Data:

Leonard, I. Ed., 1938— author.  Solutions manual to accompany classical geometry : Euclidean, transformational, inversive, and projective / I. E. Leonard, Department of Mathematical and Statistical Sciences, University of Alberta, Edmonton, Canada, J.E. Lewis, Department of Mathematical and Statistical Sciences, University of Alberta, Edmonton, Canada, A.C.F. Liu, Department of Mathematical and Statistical Sciences, University of Alberta, Edmonton, Canada, G.W. Tokarsky, Department of Mathematical and Statistical Sciences, University of Alberta, Edmonton, Canada.     pages cm  ISBN 978-1-118-90352-0 (pbk.)  1. Geometry. I. Lewis, J. E. (James Edward) author. II. Liu, A. C. F. (Andrew Chiang-Fung) author. III. Tokarsky, G. W., author. IV. Title.   QA445.L46 2014   516—dc23

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PART I

EUCLIDEAN GEOMETRY

CHAPTER 1

CONGRUENCY

CHAPTER 2

CONCURRENCY

1.BE and are altitudes of Δ, and is the midpoint of . Show that ≡ .