Geometrical Kaleidoscope
eBook - ePub

Geometrical Kaleidoscope

  1. 144 pages
  2. English
  3. ePUB (mobile friendly)
  4. Available on iOS & Android
eBook - ePub

Geometrical Kaleidoscope

About this book

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 onlypracticaland 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 circleproperties, 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.

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Yes, you can access Geometrical Kaleidoscope by Boris Pritsker in PDF and/or ePUB format, as well as other popular books in Mathematics & Geometry. We have over one million books available in our catalogue for you to explore.

Information

Table of contents

  1. Cover
  2. Title Page
  3. Copyright page
  4. Contents
  5. Preface
  6. 1. Medians, Centroid, and Center of Gravity of a System of Points
  7. 2. Altitudes and the Orthocenter of a Triangle and Some of its Properties
  8. 3. The Orthic Triangle and Some of its Properties
  9. 4. The Angle Bisector of a Triangle and its Properties
  10. 5. The Area of a Quadrilateral
  11. 6. The Theorem of Ratios of the Areas of Similar Polygons
  12. 7. A Pivotal Approach: Applying Rotation in Problem Solving
  13. 8. Auxiliary Elements in Problem Solving
  14. 9. Constructions Siblings
  15. 10. Session of One Interesting Construction Problem
  16. 11. Morley’s Theorem
  17. Solutions to the Problems and Exercises
  18. References