یادداشتهای مربوط به کتابنامه ، واژه نامه و نمایه های داخل اثر
متن يادداشت
Includes bibliographical references (page 139) and index.
یادداشتهای مربوط به مندرجات
متن يادداشت
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.