Solid geometry: Facts, Discussion Forum, and Encyclopedia Article

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Solid geometry

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	Solid geometry
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	Topics Solid geometry Topic Home In mathematicsMathematics Mathematics is the discipline that deals with concepts such as quantity, structure, space and change.... , solid geometry was the traditional name for the geometryGeometry Geometry arose as the field of knowledge dealing with spatial relationships.... of three-dimensional Euclidean spaceEuclidean space Around 300 BC, the Greek mathematician Euclid laid down the rules of what has now come to be called "plane Euclidean geometry", wh... — for practical purposes the kind of spaceSpace Space has been an interest for philosophers and scientists for much of human history.... we live in. It was developed following the development of plane geometryPlane geometry In mathematics, plane geometry may mean:... . Stereometry deals with the measurementMeasurement Measurement is the estimation or determination of extent, dimension or capacity, usually in relation to some standard or uni... s of volumeFacts About Volume *'Volume', also called capacity, is a quantification of how much space a certain region occupies.... s of various solid figureShape Summary In geometry, two sets have the same shape* if one can be transformed to another by a combination of translations, rotations a... s: cylinderCylinder (geometry) In mathematics, a cylinder is a quadric, i.e.... , circular coneCone (geometry) In common usage and elementary geometry, a cone is a solid object obtained by rotating a right triangle around one of its tw... , truncated cone, sphereSphere A sphere is a perfectly symmetrical geometrical object.... , prismPrism (geometry) In geometry, an n-sided prism is a polyhedron made of an n-sided polygonal base, a translated copy, and n faces ... s, bladeBlade Summary A blade is the flat part of a tool or weapon that normally has a cutting edge and/or pointed end typically made of a metal, ... s, wine caskWine cask A Wine cask can be:* A wine barrel... s. The PythagoreanPythagorean *Pythagorean* means of or pertaining to the ancient Ionian mathematician, philosopher, and music theorist Pythagoras.... s had dealt with the sphere and regular solids, but the pyramidFacts About Pyramid Pyramids are among the largest man-made constructions as well as one of the great Wonders of the ancient world.... , prism, cone and cylinder were not studied until the PlatonistPlatonism Platonism is the philosophy of Plato or the name of other philosophical systems considered closely derived from it.... s. EudoxusEudoxus of Cnidus Eudoxus of Cnidus was a Greek astronomer, mathematician, physician, scholar and friend of Plato.... 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 radiusRADIUS Remote Authentication Dial In User Service is an AAA protocol for applications such as network access or IP mobility.... . See also: ArchimedesArchimedes Archimedes was an ancient Greek mathematician, physicist, engineer, astronomer, and philosopher born in the seaport colony... , DemiurgeDemiurge The term Demiurge refers in some belief systems to a deity responsible for the creation of the physical universe and the phy... , Johannes KeplerJohannes Kepler Johannes Kepler , a key figure in the scientific revolution, was a German mathematician, astronomer, astrologer, and an earl... , planimetry, PlatoPlato Plato , whose real name is believed to have been Aristocles, was an immensely influential ancient Greek philosopher, ... , Timaeus (dialogue)Timaeus (dialogue) *Timaeus* is a theoretical treatise of Plato in the form of a Socratic dialogue, written circa 360 BC The work puts fo... ...paraphrased and taken in part from the 1911 Encyclopædia Britannica Basic topics of solid geometry Basic topics are: Other topics More advanced are the study of projective geometryProjective geometry Projective geometry is a non-metrical form of geometry that emerged in the early 19th century.... of three dimensions leading to proof of Desargues' theoremDesargues' theorem In projective geometry, Desargues' theorem, named in honor of Grard Desargues, states:... by using an extra dimension further polyhedraPolyhedra Polyhedra may mean:* Polyhedra DBMS, a relational database system... descriptive geometryDescriptive geometry Descriptive geometry builds on the practice, evolved over centuries, of displaying two images of a single object simultaneou... . Analytic geometryAnalytic geometry Analytic geometry, also called coordinate geometry and earlier referred to as Cartesian geometry, is the study o... and vectorVector (spatial) In physics and in vector calculus, a spatial vector, or simply vector, is a concept characterized by a magnitude and a... techniques have a major impact by allowing the systematic use of linear equationsSystem of linear equations In mathematics and linear algebra, a system of linear equations is a set of linear equations such as... and matrixMatrix (mathematics) In mathematics, a matrix is a rectangular table of numbers or, more generally, a table consisting of abstract quantities tha... algebra; this becomes more important for higher dimensions. A major reason to study this subject is the application to computer graphicsComputer graphics Computer graphics is the field of visual computing, where one utilizes computers both to generate visual synthetically and... , meaning that algorithmAlgorithm In mathematics and computing, an algorithm is a procedure for accomplishing some task which, given an initial state, will t... s become important.