- Solid geometry
In

mathematics ,**solid geometry**was the traditional name for thegeometry of three-dimensionalEuclidean space — for practical purposes the kind ofspace we live in. It was developed following the development ofplane geometry .**Stereometry**deals with themeasurement s ofvolume s of various solid figures: cylinder, circular cone, truncated cone,sphere , prisms,blade s, wine casks.The

Pythagorean s had dealt with the sphere andregular solid s, but thepyramid , 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 itsradius .**See also:**Archimedes ,Demiurge ,Johannes Kepler ,planimetry ,Plato ,Timaeus (dialogue) "...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 andsolid angle

* the cube,cuboid ,parallelepiped

* thetetrahedron and other pyramids

* prisms

*octahedron ,dodecahedron ,icosahedron

* cones and cylinders

* thesphere

* otherquadric s:spheroid ,ellipsoid ,paraboloid andhyperboloid s.**Other topics**More advanced are the study of

*

projective geometry of three dimensions leading to

* proof ofDesargues' theorem by using an extra dimension

* furtherpolyhedra

*descriptive geometry .Analytic geometry and vector techniques have a major impact by allowing the systematic use of linear equations and matrix algebra; this becomes more important for higher dimensions. A major reason to study this subject is the application tocomputer graphics , meaning thatalgorithm s become important.

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**solid geometry**— n. the branch of geometry dealing with solid, or three dimensional, figures … English World dictionary**solid geometry**— noun the geometry of 3 dimensional space • Topics: ↑mathematics, ↑math, ↑maths • Hypernyms: ↑geometry * * * noun : a branch of geometry that deals with the figures of three dimensional space * * * the geometry of solid figures; geometry of three… … Useful english dictionary**solid geometry**— geometry which deals with three dimensional objects … English contemporary dictionary**solid geometry**— the geometry of solid figures; geometry of three dimensions. [1725 35] * * * … Universalium**solid geometry**— sol′id geom′etry n. math. the geometry of solid figures; geometry of three dimensions • Etymology: 1725–35 … From formal English to slang**solid geometry**— /sɒləd dʒiˈɒmətri/ (say soluhd jee omuhtree) noun the geometry of solid figures; geometry of three dimensions … Australian English dictionary**solid geometry**— noun Date: 1733 a branch of geometry that deals with figures of three dimensional space … New Collegiate Dictionary**Solid Geometry (film)**— Infobox Film name = Solid Geometry image size = caption = director = Denis Lawson producer = writer = Ian McEwan (story) Denis Lawson narrator = starring = Ewan McGregor Ruth Millar music = cinematography = editing = distributor = released = 2002 … Wikipedia**Constructive solid geometry**— Venn diagram created with CSG The source is on the description page. Constructive solid geometry (CSG) is a technique used in solid modeling. Constructive solid geometry allows a modeler to create a complex surface or object … Wikipedia**Constructive Solid Geometry**— Mit CSG erstelltes Venn Diagramm Der POV Ray Quellcode ist auf der Beschreibungsseite. Constructive Solid Geometry (CSG) oder Konstruktive Festkörpergeometrie ist eine Technik zum Modellieren von … Deutsch Wikipedia