Exploring Advanced Euclidean Geometry With GeoGebra

Venema, Gerard A.

ISBN 10: 0883857847 / ISBN 13: 9780883857847

Editore: American Mathematical Society, 2013

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Titolo: Exploring Advanced Euclidean Geometry With ...

Casa editrice: American Mathematical Society

Data di pubblicazione: 2013

Legatura: Rilegato

Condizione: New

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Riassunto:

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.

Descrizione del libro:

An enquiry-based introduction to advanced Euclidean geometry using the dynamic geometry program GeoGebra that is ideal for both the computer lab and the classroom. The exposition consists mostly of exercises (with hints) that guide students as they explore some of the most interesting results in the subject.