Exploring Classical Greek Construction Problems with Interactive Geometry Software

• Main Authors: Meskens, Ad (Author), Tytgat, Paul (Author)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic eBook
• Language: English
• Published: Cham : Springer International Publishing : Imprint: Birkhäuser, 2017.
• Series: Compact Textbooks in Mathematics,
• Subjects: Mathematics.; Geometry.; History.; Mathematics > Study and teaching.; History of Mathematical Sciences.; Mathematics Education.

In this book the classical Greek construction problems are explored in a didactical, enquiry based fashion using Interactive Geometry Software. The book traces the history of these problems, stating them in modern terminology. By focusing on constructions and the use of GeoGebra the reader is confro...

Table of Contents:

• 1 Introduction
• 2 The Genesis of Geometry
• 3 Straightedge and compass constructions
• 4 The Delian Problem
• 5 Trisecting an angle
• 6 Squaring the circle
• 7 Constructible numbers
• 8 The Cinderella of regular polygons
• Afterthoughts
• Solutions
• Index.