Exploring Advanced Euclidean Geometry with GeoGebra

ISBN-10: 0883857847
ISBN-13: 9780883857847
Edition: 2013
Authors: Gerard A. Venema
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Description: This book provides an enquiry-based introduction to advanced Euclidean geometry. It utilises the dynamic geometry program GeoGebra to explore many of the most interesting theorems in the subject. Topics covered include triangle centres, inscribed,  More...

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Book details

Copyright year: 2013
Publisher: Mathematical Association of America
Publication date: 10/10/2013
Binding: Hardcover
Pages: 186
Size: 7.00" wide x 10.00" long x 0.50" tall
Weight: 0.946
Language: English

This book provides an enquiry-based introduction to advanced Euclidean geometry. It utilises the dynamic geometry program GeoGebra to explore many of the most interesting theorems in the subject. Topics covered include triangle centres, inscribed, circumscribed and escribed circles, medial and orthic triangles, the nine-point circle, the theorems of Ceva and Menelaus, and many applications. The final chapter explores constructions in the Poincaré disk model for hyperbolic geometry. The book can be used either as a computer laboratory manual to supplement an undergraduate course or as a stand-alone introduction to advanced topics in Euclidean geometry. The exposition consists almost entirely of exercises (with hints) that guide students as they discover the geometric relationships for themselves. The ideas are first explored at the computer and then assembled into a proof of the result under investigation, allowing readers to experience the joy of discovery and develop a deeper appreciation for the subject.

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