Michael Mcdaniel
eBook, ePUB

Geometry by Construction: (eBook, ePUB)

Object Creation and Problem-Solving in Euclidean and Non-Euclidean Geometries

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College geometry students, professors interested in undergraduate research and secondary geometry teachers will find three rich environments in this textbook. The first chapter contains many of the standards of Euclidean college geometry. The second and third chapters introduce non-Euclidean models where some Euclidean rules hold and others do not. With emphases on constructions and proofs, the reader is encouraged to create the objects under investigation and verify the results with reasoning. Since both models of "bent" spaces exist in Euclidean geometry, the reader gains facility with Eucli...

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