Two-dimensional geometries : a problem-solving approach / C. Herbert Clemens.

• 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.

Ämnesord

Geometri  (sao)

Geometry, Descriptive.  (LCSH)

Geometry, Descriptive.  (fast)

Geometry -- Metric geometry -- Absolute spaces.  (msc)

Geometry -- Metric geometry -- Congruence and orthogonality.  (msc)

Geometry -- Metric geometry -- Orthogonal and unitary groups.  (msc)

Geometry -- Instructional exposition (textbooks, tutorial papers, etc.).  (msc)

Geometry -- Distance geometry -- Synthetic differential geometry.  (msc)

Geometry  (LCSH)

Klassifikation

QA501 (LCC)

516.154 (DDC)

51-01 (msc)

51F (msc)

Te (kssb/8 (machine generated))