Boris Pritsker - Geometrical Kaleidoscope
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- Book:Geometrical Kaleidoscope
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- Publisher:Dover Publications
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- Year:2017
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Geometrical Kaleidoscope: summary, description and annotation
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A high school course in geometry and some curiosity and enthusiasm for the subject are the only prerequisites for tackling this original exploration into the field, long a favorite for readers whose interest in math is not only practical and educational, but also recreational. The book centers on geometric thinkingwhat it means, how to develop it, and how to recognize it. Readers will discover fascinating insights into many aspects of geometry and geometrical properties and theorems, including such classic examples as Archimedes law of the lever, Eulers line and circle properties, Fagnanos problem, and Napoleons theorem.The volume is divided into sections on individual topics such as Medians of a Triangle, and Area of a Quadrilateral. Chapters typically begin with some interesting geometrical history, some relevant theorems, and some worked examples of problems followed by problems for readers to figure out for themselves (solutions are provided at the end of the book). The result is a many-faceted exploration, rather like a kaleidoscope, focusing on the mysteries and the pleasures of geometry.
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