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電子ブック

EB
by Boris Odehnal, Hellmuth Stachel, Georg Glaeser
出版情報: Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer, 2020
オンライン: https://doi.org/10.1007/978-3-662-61053-4
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目次情報: 続きを見る
1 Introduction
2 Quadrics in Euclidean 3-space
3 Linear algebraic approach to quadrics
4 Projective and affine quadrics
5 Pencils of quadrics
6 Cubic and quartic space curves as intersections of quadrics
7 Confocal quadrics
8 Special problems
9 Quadrics and Differential Geometry
10 Line Geometry, Sphere Geometry, Kinematics
11 Some generalizations of quadrics
References
Index
1 Introduction
2 Quadrics in Euclidean 3-space
3 Linear algebraic approach to quadrics
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電子ブック

EB
by Georg Glaeser
出版情報: Cham : Springer International Publishing : Imprint: Springer, 2020
オンライン: https://doi.org/10.1007/978-3-030-61398-3
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目次情報: 続きを見る
1 An idealized world made of simple elements
2 Projections and shadows: Reduction of the dimension
3 Polyhedra: multi-faced and multi-sided
4 Curved but simple
5 More about conic sections and developable surfaces
6 Prototypes
7 Further remarkable classes of surfaces
8 The endless variety of curved surfaces
9 Photographic image and individual perception
10 Kinematics: Geometry in motion
11 Spatial motions
12 A variety of filling patterns
13 The nature of geometry and the geometry of nature
14 More applications
A Geometrical freehand drawing
B Geometry and photography
Bibliography
Index
1 An idealized world made of simple elements
2 Projections and shadows: Reduction of the dimension
3 Polyhedra: multi-faced and multi-sided