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" Experiencing geometry : "
David W. Henderson, Daina Taimin̦a.
Document Type
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BL
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Record Number
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872590
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Main Entry
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Henderson, David W., (David Wilson),1939-
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Title & Author
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Experiencing geometry : : Euclidean and non-Euclidean with history /\ David W. Henderson, Daina Taimin̦a.
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Edition Statement
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3rd ed.
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Publication Statement
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Upper Saddle River, N.J. :: Pearson Prentice Hall,, ©2005.
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Page. NO
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xxx, 392 pages :: illustrations ;; 24 cm
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ISBN
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0131437488
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: 9780131437487
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Bibliographies/Indexes
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Includes bibliographical references (pages 375-384) and index.
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Contents
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Historical strands of geometry -- Ch. 1. What is straight? -- Ch. 2. Straightness on spheres -- Ch. 3. What is an angle? -- Ch. 4. Straightness on cylinders and cones -- Ch. 5. Straightness on hyperbolic planes -- Ch. 6. Triangles and congruencies -- Ch. 7. Area and holonomy -- Ch. 8. Parallel transport -- Ch. 9. SSS, ASS, SAA, and AAA -- Ch. 10. Parallel postulates -- Ch. 11. Isometries and patterns -- Ch. 12. Dissection theory -- Ch. 13. Square roots, Pythagoras, and similar triangles -- Ch. 14. Projections of a sphere onto a plane -- Ch. 15. Circles -- Ch. 16. Inversions in circles -- Ch. 17. Projections (models) of hyperbolic planes -- Ch. 18. Geometric 2-manifolds -- Ch. 19. Geometric solutions of quadratic and cubic equations -- Ch. 20. Trigonometry and duality -- Ch. 21. Mechanisms -- Ch. 22. 3-spheres and hyperbolic 3-spaces -- Ch. 23. Polyhedra -- Ch. 24. 3-manifolds -- the shape of space -- App. A. Euclid's definitions, postulates, and common notions -- App. B. Constructions of hyperbolic planes.
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Subject
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Geometry.
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Subject
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Géométrie.
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Subject
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Geometrie
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Subject
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Geometry.
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Subject
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Nichteuklidische Geometrie
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Subject
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Geometrie.
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Subject
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Nichteuklidische Geometrie.
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Dewey Classification
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516
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LC Classification
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QA453.H497 2005
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Added Entry
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Taimin̦a, Daina.
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