Spherical geometry other geometric concepts are defined as in plane geometry, but with straight lines replaced by great circles. Thus, in spherical geometry, angles are defined between great circles, resulting in a spherical trigonometry that differs from ordinary trigonometry in many respects; for example, the sum of the interior angles of a triangle exceeds 180 degrees. Spherical geometry is "not" elliptic geometry, but is rather a "subset" of elliptic geometry. For example, it shares with that geometry the property that a line has no parallels through a given point. Contrast this with Euclidean geometry, in which a line has one parallel through
Solid geometry a proof that the volume enclosed by a sphere is proportional to the cube of its radius. Basic topics in solid geometry and stereometry include Advanced topics include Various techniques and tools are used in solid geometry. Among them, analytic geometry and vector techniques have a major impact by allowing the systematic use of linear equations and matrix algebra, which are important for higher dimensions. A major application of solid geometry and stereometry is in computer graphics. Solid geometry In mathematics, solid geometry is the traditional name for the geometry of three-dimensional Euclidean space. Stereometry deals with the measurements of