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Rating: Summary: A must-have book for every geometry teacher Review: As a high-school geometry teacher, I have often wished for a book like this. Sadly, the typical one-year geometry course comes to an end just as students are within reach of some truly beautiful and intriguing theorems. Dr. Posamentier's book begins where most high-school geometry textbooks end, and presents many wonderful results that lie just beyond their purview: the nine- point circle; the golden rectangle; the theorems of Ceva, Menelaus, Ptolemy, Pascal, Desargues, and Brianchon; excircles and incircles; cyclic quadrilaterals; and much more. This book provides a rich geometric feast. There are several books that cover much of the same ground that Dr. Posamentier surveys: GEOMETRY REVISITED, by Coxeter and Greitzer, and EPISODES IN NINETEENTH AND TWENTIETH CENTURY EUCLIDEAN GEOMETRY, by Honsberger, are two of the best. What makes Dr. Posamentier's book stand out is its usefulness as a textbook. Theorems are fully proved, and arranged in a logically coherent sequence. (The book is Euclidean in format as well as in subject matter.) The book is thoughtfully designed. The pages are large, the type is easy to read, the diagrams are clear, and the book lies flat when opened. EVERY HIGH-SCHOOL GEOMETRY TEACHER SHOULD HAVE THIS BOOK. It's a rich source of supplementary material for regular sections, and an ideal textbook for the second semester of an honors-level class, or for a student who wants to pursue the study of geometry on an independent-study basis. I know that I'll be turning to this book again and again next year, and for as long as I teach geometry. In fact, I plan to buy another copy so that I'll have one at home and one in my classroom. Bravo, Dr. Posamentier, and thank you!
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