GEOMETRY REVISITED COXETER PDF

Among the many beautiful and nontrivial theorems in geometry found here are the theorems of Ceva, Menelaus, Pappus, Desargues, Pascal, and Brianchon. The transformational point of view is emphasized: reflections, rotations, translations, similarities, inversions, and affine and projective transformations. Many fascinating properties of circles, triangles, quadrilaterals, and conics are developed. Preface 1.

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Among the many beautiful and nontrivial theorems in geometry found in Geometry Revisited are the theorems of Ceva, Menelaus, Pappus, Desargues, Pascal, and Brianchon. A nice proof is given of Morley's remarkable theorem on angle trisectors. The transformational point of view is emphasized: reflections, rotations, translations, similarities, inversions, and affine and proje Among the many beautiful and nontrivial theorems in geometry found in Geometry Revisited are the theorems of Ceva, Menelaus, Pappus, Desargues, Pascal, and Brianchon.

The transformational point of view is emphasized: reflections, rotations, translations, similarities, inversions, and affine and projective transformations.

Many fascinating properties of circles, triangles, quadrilaterals, and conics are developed. Get A Copy. Paperback , pages. More Details Original Title. Other Editions 1. Friend Reviews. To see what your friends thought of this book, please sign up. To ask other readers questions about Geometry Revisited , please sign up.

Lists with This Book. Community Reviews. Showing Average rating 4. Rating details. Sort order. Start your review of Geometry Revisited. Dec 12, Circul Wyrd rated it it was amazing. This is a special book for me: Late in life it helped me to rediscover math. This is not because I expect it to be less reachable than the other chapters, but I wanted to This is a special book for me: Late in life it helped me to rediscover math. This is not because I expect it to be less reachable than the other chapters, but I wanted to postpone projective geometry until I had pursued some other paths for awhile.

Some of them are far from easy. But in the hints you are given just enough information to put it together yourself, usually. As a note however, for some of the more difficult ones I had assistance from PhD students who found them interesting, and for some of those questions, certain aspects raised issues that I never found anyone who could give a definitive answer.

Coxeter is, in my opinion, in a special category of mathematician. He was foremost in his time, and he was also genuinely vested in finding a way to communicate to as large an audience as possible. From every thing I know about him, this book, written later in his own career, was not written for personal advancement, but for love of the subject and desire to communicate, but without pulling even one single punch there is no royal road to geometry.

I wrote the following inscription in my copy: To whomever discovers and reads this book May it do the same for another. Jan 21, Beau rated it it was amazing Shelves: owned-mathematics , 5-stars , favorites , mathematics-textbooks , nonfiction , new-mathematical-library , mathematics , finished-in This book literally made me laugh out loud with sheer awe and delight at the theorems proved; there are so many beautiful, striking, and elegant results in this dense volume.

Other chapters include using transformatio This book literally made me laugh out loud with sheer awe and delight at the theorems proved; there are so many beautiful, striking, and elegant results in this dense volume. Other chapters include using transformations of the plane translation, rotation, reflection, spiral symmetry to prove theorems; an introduction to inversive geometry—containing some of the most enjoyable material in the book including a wonderful proof that the nine-point circle is tangent to the incircle and three excircles of a given triangle; and an introduction to projective geometry.

The book is extremely well-written with an economy of language and notation and very readable, concise, and beautiful proofs. There are also bits of historical information and interesting quotations throughout. There are many excellent exercises ranging from trivial to extremely difficult; and there are outlines of solutions to all of them. To be able to read this book you need to remember your high school geometry pretty well as most of it is assumed , as well as some analytic geometry and trigonometry.

This book would be an excellent resource for students preparing for difficult high school mathematical competitions, like olympiads and their precursors. Some of the exercises are probably of olympiad caliber. There are no discussion topics on this book yet. Readers also enjoyed. Goodreads is hiring! If you like books and love to build cool products, we may be looking for you. About H. Books by H. Fall in Love with These June Romances. Some people love books. Some people fall in love. And some people fall in love with books about falling in love.

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Geometry Revisited

Libraries and resellers, please contact cust-serv ams. See our librarian page for additional eBook ordering options. Among the many beautiful and nontrivial theorems in geometry found in Geometry Revisited are the theorems of Ceva, Menelaus, Pappus, Desargues, Pascal, and Brianchon. A nice proof is given of Morley's remarkable theorem on angle trisectors. The transformational point of view is emphasized: reflections, rotations, translations, similarities, inversions, and affine and projective transformations.

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GEOMETRY REVISITED H. S. M. Coxeter S. L. Greitzer

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