In mathematics, solid geometry was the traditional name for the geometry of three-dimensional Euclidean space — for practical purposes the kind of space we live in. It was studied as a sequel to plane geometry. Stereometry deals with the measurements of volumes of various solid figures: cylinder, circular cone, truncated cone, sphere, prisms, blades, wine casks. Mathematics is the study of quantity, structure, space and change. ... Geometry (from the Greek words Geo = earth and metro = measure) is the branch of mathematics first popularized in ancient Greek culture by Thales (circa 624-547 BC) dealing with spatial relationships. ... In mathematics and astronomy, Euclidean space is a generalization of the 2- and 3-dimensional spaces studied by Euclid. ... Attempting to understand the nature of space has always been a prime occupation for philosophers and scientists. ... In mathematics, Euclidean geometry is the familiar kind of geometry on the plane or in three dimensions. ... In classical physics and engineering, measurement is the the result of comparing physical quantities of objects, relations (e. ... Volume (also called capacity) is a quantification of how much space an object occupies. ... In art the element in addition to color necessary for visual arts. ... A right circular cylinder In mathematics a cylinder is a quadric, i. ... A cone is a basic geometrical shape: see cone (geometry). ... A sphere is, roughly speaking, a ball-shaped object. ... In geometry, a prism is a polyhedron made of two parallel copies of some polygonal base joined by faces that are rectangles or parallelograms. ... For other uses of the word blade, see Blade (disambiguation) This article needs to be wikified. ... A Bag in a box (or a wine cask) is a method of wine packaging which consists of a bag, usually made of Mylar® or other plastics, filled with wine and protected by a box, usually made of cardboard. ...

The Pythagoreans had dealt with the sphere and regular solids, but the pyramid, prism, cone and cylinder were but little known until the Platonists took them in hand. Eudoxus established their mensuration, proving the pyramid and cone to have one-third the content of a prism and cylinder on the same base and of the same height, and was probably the discoverer of a proof that the volumes of spheres are as the cubes of their radii. The Pythagoreans were an Hellenic organization of astronomers, musicians, mathematicians, and philosophers; who believed that all things are, essentially, numeric. ... Geometric shape created by connecting a polygonal base to an apex A pyramid is a geometric shape formed by connecting a polygonal base and a point, called the apex, by triangular faces. ... Platonic idealism is the theory that the substantive reality around us is only a reflection of a higher truth. ... Eudoxus of Cnidus (Greek Εύδοξος) (410 or 408 BC - 355 or 347 BC) was a Greek astronomer, mathematician, physician, scholar and friend of Plato. ... RADIUS (Remote Authentication Dial In User Service) is an Authentication, Authorization and Accounting (AAA) protocol for applications such as network access or IP mobility. ...

See also: Archimedes, Demiurge, Johannes Kepler, planimetry, Plato, Timaeus (dialogue) Archimedes (Greek: ΑΡΧΙΜΗΔΗΣ, Arkhimêas) ((287 BCE – 212 BCE) was a Greek mathematician, astronomer, philosopher, physicist and engineer born in the Greek seaport colony of Syracuse. ... The term Demiurge (or Yaldabaoth, Yao and several other variants, such as Ptahil used in Mandaeanism) refers in some belief systems to a deity responsible for the creation of the physical universe and the physical aspect of humanity. ... Johannes Kepler Johannes Kepler (December 27, 1571 – November 15, 1630), a key figure in the scientific revolution, was a German astronomer, mathematician and astrologer. ... Statue of a philosopher, presumely Plato, in Delphi. ... Timaeus is a theoretical treatise of Plato in the form of a Socratic dialogue, written circa 360 B.C. The work puts forward speculation on the nature of the physical world. ...

...partly from the 1911 Encyclopaedia Britannica (Redirected from 1911 Encyclopaedia Britannica) The Eleventh Edition of the Encyclopædia Britannica (1911) in many ways represents the sum of knowledge at the beginning of the 20th century. ...

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.

In geometry, the relations of incidence are those such as lies on between points and lines (as in point P lies on line L), and intersects (as in line L1 intersects line L2, in three-dimensional space). ... In mathematics, a plane is the fundamental two-dimensional object. ... A line, or straight line, is, roughly speaking, an (infinitely) thin, (infinitely) long, straight geometrical object, i. ... In Aerospace engineering, the dihedral is the angle that the two wings make with each other. ... A solid angle is the three dimensional analog of the ordinary angle. ... Three dimensions A cube (or hexahedron) is a Platonic solid composed of six square faces, with three meeting at each vertex. ... In anatomy, the cuboid bone is a bone in the foot. ... A parallelepiped (alternately, parallelopiped, parallelepipedon or parallelopipedon) is a 3-dimensional polyhedron with six parallelograms for faces. ... A tetrahedron (plural: tetrahedra) is a polyhedron composed of four triangular faces, three of which meet at each vertex. ... Geometric shape created by connecting a polygonal base to an apex A pyramid is a geometric shape formed by connecting a polygonal base and a point, called the apex, by triangular faces. ... In geometry, a prism is a polyhedron made of two parallel copies of some polygonal base joined by faces that are rectangles or parallelograms. ... An octahedron (plural: octahedra) is a polyhedron with eight faces. ... A dodecahedron is a Platonic solid composed of twelve pentagonal faces, with three meeting at each vertex. ... An icosahedron [ˌaıkəsəhiːdrən] noun (plural: -drons, -dra [-drə]) is a polyhedron having 20 faces. ... A cone is a basic geometrical shape: see cone (geometry). ... A right circular cylinder In mathematics a cylinder is a quadric, i. ... A sphere is, roughly speaking, a ball-shaped object. ... Ellipsoid Elliptic Paraboloid Hyperbolic Paraboloid Hyperboloid of One Sheet Hyperboloid of Two Sheets Cone Elliptic Cylinder Hyperbolic Cylinder Parabolic Cylinder In mathematics a quadric, or quadric surface, is any D-dimensional (hyper-)surface represented by a second-order equation in spatial variables (coordinates). ... A spheroid is a quadric surface in three dimensions obtained by rotating an ellipse about one of its principal axes. ... Definition In mathematics, an ellipsoid is a type of quadric that is a higher dimensional analogue of an ellipse. ... In mathematics, a paraboloid is a quadric, a type of surface in three dimensions, described by the equation: (elliptic paraboloid), or (hyperbolic paraboloid). ... Hyperboloid of one sheet Hyperboloid of two sheets In mathematics, a hyperboloid is a quadric, a type of surface in three dimensions, described by the equation:  (hyperboloid of one sheet), or  (hyperboloid of two sheets) If, and only if, , it is a hyperboloid of revolution. ...

Other topics

More advanced are the study of

• projective geometry of three dimensions leading to
• proof of Desargues' theorem by using an extra dimension
• further polyhedra
• 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 to computer graphics, meaning that algorithms become important. Projective geometry can be thought of informally as the geometry which arises from placing ones eye at a point. ... In projective geometry, Desargues theorem, named in honor of Girard Desargues, states: In a projective space, two triangles are in perspective axially if and only if they are in perspective centrally. ... In mathematics, there are three related meanings of the term polyhedron: in the traditional meaning it is a 3-dimensional polytope, and in a newer meaning that exists alongside the older one it is a bounded or unbounded generalization of a polytope of any dimension. ... Gaspard Monge is the father of descriptive geometry. ... Analytic geometry, also called coordinate geometry and earlier referred to as Cartesian geometry, is the study of geometry using the principles of algebra. ... In physics and engineering, the word vector typically refers to a quantity that has close relationship to the spatial coordinates, informally described as an object with a magnitude and a direction. The word vector is also now used for more general concepts (see also vector and generalizations below), but this... In mathematics and linear algebra, a system of linear equations is a set of linear equations such as 3x1 + 2x2 − x3 = 1 2x1 − 2x2 + 4x3 = −2 −x1 + ½x2 − x3 = 0. ... For the square matrix section, see square matrix. ... Computer graphics (CG) is the field of visual computing, where one utilizes computers both to generate visual images synthetically and to integrate or alter visual and spatial information sampled from the real world. ... Flowcharts are often used to represent algorithms. ...