Solid geometry
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In mathematics, solid geometry is the traditional name^{[citation needed]} for the geometry of threedimensional Euclidean space.
Stereometry deals with the measurements of volumes of various solid figures (threedimensional figures) including pyramids, prisms and other polyhedrons; cylinders; cones; truncated cones; and balls bounded by spheres.^{[1]}
History
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 onethird the volume of a prism and cylinder on the same base and of the same height. He was probably also the discoverer of a proof that the volume enclosed by a sphere is proportional to the cube of its radius.^{[2]}
Topics
Basic topics in solid geometry and stereometry include
 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.
Advanced topics include
 projective geometry of three dimensions (leading to a proof of Desargues' theorem by using an extra dimension)
 further polyhedra
 descriptive geometry.
Techniques
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.
Applications
A major application of solid geometry and stereometry is in computer graphics.
See also
Notes
 ^ Kiselev 2008.
 ^ ...paraphrased and taken in part from the 1911 Encyclopædia Britannica.
References
 Kiselev, A. P. (2008). Geometry. Book II. Stereometry. Translated by Givental, Alexander. Sumizdat.