Topics in geometry

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Academic Press, Incorporated, 1994 - Mathematics - 538 pages
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This volume presents an accessible, self-contained survey of topics in Euclidean and non-Euclidean geometry. It includes plentiful illustrations and exercises in support of the thoroughly worked-out proofs. The author's emphasis on the connections between Euclidean and non-Euclidean geometry unifies the range of topics covered. The text opens with a brief review of elementary geometry before proceeding to advanced material. Topics covered include advanced Euclidean and non-Euclidean geometry, division ratios and triangles, transformation geometry, projective geometry, conic sections, and hyperbolic and absolute geometry. Topics in Geometry includes over 800 illustrations and extensive exercises of varying difficulty.

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Contents

Division Ratios
21
Menelaus Theorem
42
Cevas Theorem
56
Copyright

27 other sections not shown

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About the author (1994)

Bix-University of Michigan, Flint

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