Exploring Advanced Euclidean Geometry with GeoGebra

Language: English

Published by Mathematical Association of America, US, 2013

0883857847 / 9780883857847

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This book provides an inquiry-based introduction to advanced Euclidean geometry. It utilizes dynamic geometry software, specifically GeoGebra, to explore the statements and proofs of many of the most interesting theorems in the subject. Topics covered include triangle centers, inscribed, circumscribed, and escribed circles, medial and orthic triangles, the nine-point circle, duality, and the theorems of Ceva and Menelaus, as well as numerous applications of those theorems. The final chapter explores constructions in the Poincar disk model for hyperbolic geometry. The book can be used either as a computer laboratory manual to supplement an undergraduate course in geometry or as a stand-alone introduction to advanced topics in Euclidean geometry. The text consists almost entirely of exercises (with hints) that guide students as they discover the geometric relationships for themselves. First the ideas are explored at the computer and then those ideas are assembled into a proof of the result under investigation. The goals are for the reader to experience the joy of discovering geometric relationships, to develop a deeper understanding of geometry, and to encourage an appreciation for the beauty of Euclidean geometry.…

Seller Inventory # LU-9780883857847

Title
Exploring Advanced Euclidean Geometry with GeoGebra
Author
Gerard A. Venema
Publisher
Mathematical Association of America, US
Publication year
2013
Condition
New
Binding
Hardback
Language
English
ISBN 10
0883857847
ISBN 13
9780883857847
Item weight
420 grams
Dimensions
17.78 x 1.27 x 25.4 cm

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