Geometrical Kaleidoscope

Format: Paperback
Pub. Date: 2017-09-13
Publisher(s): Dover Publications
  • Free Shipping Icon

    Free Shipping on All Orders!

    *excludes Marketplace items.

List Price: $14.95

Buy New

Special Order. We will make every effort to obtain this item but cannot guarantee stock or timing.

Rent Book

Select for Price
There was a problem. Please try again later.

Rent Digital

Online: 1825 Days access
Downloadable: Lifetime Access

Used Book

We're Sorry
Sold Out

This item is being sold by an Individual Seller and will not ship from the Online Bookstore's warehouse. The Seller must confirm the order within two business days. If the Seller refuses to sell or fails to confirm within this time frame, then the order is cancelled.

Please be sure to read the Description offered by the Seller.


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 thinking—what 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, Euler's line and circle properties, Fagnano's problem, and Napoleon's 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.

Author Biography

Kiev native Boris Pritsker worked as a math teacher and in a special school for gifted and talented high school students with advanced programs in algebra, geometry, trigonometry, and calculus. His teaching experience led to his publication of numerous articles and problems in mathematical magazines in the former Soviet Union, United States, Australia, and Singapore.

Table of Contents

1. Median of a Triangle
2. Altitudes and Orthocenter of a Triangle
3. Orthic Triangle and Its Properties
4. Bisector of a Triangle and It Properties
5. Area of a Quadrilateral
6. Theorem of Ratios of the Area of Similar Polygons
7, Applying Rotation in Problem Solving
8.Auxiliary Elements in Problem Solving
9. Constructions-Siblings
10. Session of One Interesting Construction Problem
11. Morley's Theorem.
Solutions and Answers to the Chapter Problems.

An electronic version of this book is available through VitalSource.

This book is viewable on PC, Mac, iPhone, iPad, iPod Touch, and most smartphones.

By purchasing, you will be able to view this book online, as well as download it, for the chosen number of days.

A downloadable version of this book is available through the eCampus Reader or compatible Adobe readers.

Applications are available on iOS, Android, PC, Mac, and Windows Mobile platforms.

Please view the compatibility matrix prior to purchase.