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Challenging Problems in Geometry
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Challenging Problems in Geometry
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Instead of doing what most other geometry problem books do - pose problems and give shortened answers - Posamentier has chosen a different tack. This book has 45 pages of Problems, pages of Solutions, and 18 pages of Hints. This enables the reader to get a Hint instead of the full solution. So far, the Hints are spot on. At the end is a numbered list of all the Definitions, Postulates and Theorems used as well as a list of Selected Formulae.
The book is structured into two sections: the first is suitable for use as exam questions in a standard high school geometry course while the second section covers advanced Euclidean topics. This book is certain to satisfy anyone who wants to continue their Euclidean geometry education.
It's late at night, hard day's night : The girl is sleeping already, the dogs snoring quietly in the kitchen, I'm about to go to sleep. But before that - just one look in this book, just one problem to fall asleep with. Ah, hour an a half later when the problem is solved I really off to bed : It's such a fun book. Some of the problems are unimaginary hard.
Some are easier. All of them are enjoyable, challenging and satisfying. For whom who loves geometry and loves to play with proofs and theorems - You will love it. Posamentiers' book is a little bit unbalanced. It contains around problems with solutions.
A more balanced text would have contained more intermediate problems and the harder ones would have been more "original". The methods used are purely synthetic, no analytic geometry. Invaluable as a supplement to a basic geometry textbook, this volume offers both further explorations on specific topics and practice in developing problem-solving techniques.
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