Solutions Manual to Accompany Classical Geometry

I. E. LEONARD, PHD, is Lecturer in the Department of Mathematical and Statistical Sciences at the University of Alberta, Canada. The author of over fifteen journal articles, his areas of research interest include real analysis and discrete mathematics.J. E. LEWIS, PHD, is Professor Emeritus in the Department of Mathematical Sciences at the University of Alberta, Canada. He was the recipient of the Faculty of Science Award for Excellence in Teaching in 2004.A. C. F. LIU, PHD, is Professor in the Department of Mathematical and Statistical Sciences at the University of Alberta, Canada. He has authored over thirty journal articles.G. W. TOKARSKY, MSC, is Faculty Lecturer in the Department of Mathematical and Statistical Sciences at the University of Alberta, Canada. His areas of research interest include polygonal billiards and symbolic logic.

• Part I Euclidean Geometry1 Congruency 32 Concurrency 113 Similarity 174 Theorems of Ceva and Menelaus 275 Area 316 Miscellaneous Topics 43Part II Transformational Geometry7 Euclidean Transformations 578 The Algebra of Isometries 699 The Product of Direct Isometries 8110 Symmetry and Groups 9711 Homotheties 10712 Tessellations 117Part III Inversive and Projective Geometries13 Introduction to Inversive Geometry 12714 Reciprocation and the Extended Plane 13715 Cross Ratios 14516 Introduction to Projective Geometry 153