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'The book is rich in remarkable facts and thereby is very effective in promoting the significance and the value of geometry in mathematical teaching, a promotion which is very necessary.' Mathematical Reviews
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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 projective transformations. Many fascinating properties of circles, triangles, quadrilaterals, and conics are developed.
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First Sentence
The purpose of this chapter is to recall some of these half-forgotten things to which Dr. Bell referred, to derive some new theorems, developed since Euclid, and to apply our findings to interesting situation. Read the first page
Front Cover | Copyright | Table of Contents | Excerpt | Index | Back Cover
The purpose of this chapter is to recall some of these half-forgotten things to which Dr. Bell referred, to derive some new theorems, developed since Euclid, and to apply our findings to interesting situation. Read the first page
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Front Cover | Copyright | Table of Contents | Excerpt | Index | Back Cover
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Most Helpful Customer Reviews
0 of 8 people found the following review helpful
Format:Paperback
the item was in a good condition.
the delivery was very promt, despite we were in the middle of a mail strike action. probably the posties get a credit as well!
the delivery was very promt, despite we were in the middle of a mail strike action. probably the posties get a credit as well!
Most Helpful Customer Reviews on Amazon.com (beta)
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9 reviews
57 of 57 people found the following review helpful
FOR ALL THOSE INTERESTED IN MATHEMATICS
26 July 2001
Format:Paperback|Amazon Verified Purchase
This is 'the book' the typical high school student in America needs to read in order to see what Geometry is really all about. Geometry can be fun and engaging. Unfortunately it has taken a back seat in the high school curriculum. This is unfortunate considering the beauty that the subject has to offer. Many topics are covered in this book: The extended law of cosines, Ptolemy's theorem, transformational geometry, conics, and many, many, many more. This is also a book that is essential for mathematical problem solvers-- particularly for those interested in competing. All that is needed to follow along is the basic geometry learned at the high school level. This book is a must have for any mathematical library.
A++ Highly recommended.
57 of 60 people found the following review helpful
THE BEST SOURCE FOR GEOMETRY
11 Aug 2002
Format:Paperback
I am a high school student who competes in extracurricular mathematics contests. I've found many great books for trigonometry, algebra, precalculus, calculus, and any other field of math except geometry, i.e. until I found this book. A thorough knowledge of geometry beyond what you learn in high school in necessary needed to be competitive, and the place to get it is Geometry Revisited. This book covers any geometry you could need and is by far the best, if not the only, book out there with what you need to know. This book was also very interesting and thought provoking. The selection and arrangement of topics couldn't be any better. Each lesson even contains exercises (with answers and hints) to show you how to apply what the book teaches you. I would recommend this book to any high school student competing in any contests, to any person interested in extending their knowledge of geometry, or to anyone who with any interest in math. I can tell you that you will learn multitudes and enjoy the book too.
36 of 38 people found the following review helpful
The Best Undergrad Level Geometry Book Ever
7 July 2000
Format:Paperback
Geometry Revisited should be used as a textbook for every geometry class in high school. It offers comprehensive proofs and theorems that every undergrad should know by the time he/she gets through basic geometry. The last sections of this book also offers a slight touch on comcepts such as non-Eucledian and projective geometry, serving as a launchpad to higher levels of education. I highly recommend this book to any high school or undergrad teachers and students.
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