Ruler and Compass: Practical Geometric Constructions

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Bloomsbury Publishing USA, Nov 3, 2009 - Mathematics - 64 pages
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Since the earliest times mankind has employed the simple geometric forms of straight line and circle. Originally marked out by eye and later using a stretched cord, in time these came to be made with the simple tools of ruler and compass. This small book introduces the origins and basic principles of geometric constructions using ruler and compass, before going on to cover dozens of geometric constructions, from the practical fundamentals to the more demanding.

- Constructions for more than thirty regular polygons

- Introduces geometric construction using compasses alone and using rulers alone

- Explains why trisecting an angle is impossible using classical rules and how to trisect an angle anyway

- Highlights the relationship of geometric construction with many fundamental developments throughout the history of mathematics

 

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I received this little book as a birthday gift from good friend of mine together with a compass because he knew about my interest in drawing mandalas. Geometry was my only interest in maths in school because as an artist, I could see as well as understand. And Sutton's book rekindled my love for geometry. It's ahandy little book and I keep it on my drawing table next to my compass. I'm sure Andrew Sutton must make all his students love geometry!  

Contents

Introduction
1
Hexagons Dodecagons
14
Dividing a Segment
28
Approximate Polygons
42
Appendix Grid Constructions
56
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About the author (2009)

Andrew Sutton is a high school mathematics teacher based in the UK. He has taught in London and New York and has a special interest in mathematics in art.

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