| Document Type
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BL
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| Record Number
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850317
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| Main Entry
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Clemens, C. Herbert, (Charles Herbert),1939-
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| Title & Author
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Two-dimensional geometries : : a problem-solving approach /\ C. Herbert Clemens.
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| Publication Statement
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Providence, Rhode Island :: American Mathematical Society,, [2019]
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| Series Statement
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Pure and applied undergraduate texts ;; 34
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The Sally series
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| Page. NO
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vii, 142 pages :: illustrations ;; 26 cm.
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| ISBN
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1470447606
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: 9781470447601
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| Bibliographies/Indexes
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Includes bibliographical references (page 139) and index.
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| Contents
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Introduction -- Neutral geometry. Euclid's postulates for plane geometry -- Euclidean (plane) geometry. Rectangles and cartesian coordinates -- Concurrence and circles in euclidean geometry -- Spherical geometry. Surface area and volume of the R-sphere in euclidean 3-space -- Usual dot product for three-dimensional Euclidean space. Euclidean three-space as a metric space -- Transformations -- K-geometry. Changing coordinates -- Uniform coordinates for the two-dimensional geometries -- Return to spherical geometry. Spherical geometry from an advanced viewpoint -- Hyperbolic geometry. The curvature K becomes negative.
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| Subject
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Geometry, Descriptive.
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| Subject
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Geometry -- Distance geometry -- Synthetic differential geometry.
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| Subject
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Geometry -- Instructional exposition (textbooks, tutorial papers, etc.).
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| Subject
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Geometry -- Metric geometry -- Absolute spaces.
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| Subject
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Geometry -- Metric geometry -- Congruence and orthogonality.
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| Subject
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Geometry -- Metric geometry -- Orthogonal and unitary groups.
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| Subject
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Geometry, Descriptive.
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| Dewey Classification
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516/.154
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| LC Classification
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QA501.C6575 2019
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| NLM classification
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51F1051F2051F2551-0151K10msc
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