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solid geometry
In mathematics, solid geometry is the traditional name for the geometry of three-dimensional Euclidean space.
Stereometry deals with the measurements of volumes of various solid figures or Polyhedrons (three-dimensional figures) including pyramids, cylinders, cones, truncated cones, spheres, and prisms.
The Pythagoreans dealt with the regular solids, but the pyramid, prism, cone and cylinder were not studied until the Platonists. Eudoxus established their measurement, proving the pyramid and cone to have one-third the volume of a prism and cylinder on the same base and of the same height, and was probably the discoverer of a proof that the volume of a sphere is proportional to the cube of its radius.〔''...paraphrased and taken in part from the 1911 Encyclopædia Britannica''〕
==Basic topics of solid geometry==
Basic topics are:
* incidence of planes and lines
* dihedral angle and solid angle
* the cube, cuboid, parallelepiped
* the tetrahedron and other pyramids
* prisms
* octahedron, dodecahedron, icosahedron
* cones and cylinders
* the sphere
* other quadrics: spheroid, ellipsoid, paraboloid and hyperboloids.
抄文引用元・出典: フリー百科事典『 ウィキペディア（Wikipedia）』
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