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Some Adventures in Euclidean Geometry

ByMichael de Villiers

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This book seeks to actively involve the reader in the heuristic processes of conjecturing, discovering, formulating, classifying, defining, refuting, proving, etc. within the context of Euclidean geometry. The book deals with many interesting and beautiful geometric results, which have only been discovered during the past 300 years such as the Euler line, the theorems of Ceva, Napoleon, Morley, Miquel, Varignon, etc. Extensive attention is also given to the classification of the quadrilaterals from the symmetry of a side-angle duality. Many examples lend themselves excellently for exploration on computer with dynamic geometry programs such as Sketchpad. The book is addressed primarily to university or college lecturers involved in the under-graduate or in-service training of high school mathematics teachers, but may also interest teachers who are looking for enrichment material, and gifted high school mathematics pupils.

Details

Publication Date
Sep 8, 2009
Language
English
ISBN
9780557102952
Category
Education & Language
Copyright
All Rights Reserved - Standard Copyright License
Contributors
By (author): Michael de Villiers

Specifications

Pages
219
Binding
Perfect Bound
Interior Color
Black & White
Dimensions
A4 (8.27 x 11.69 in / 210 x 297 mm)

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