GEOMETRYGeometry, the branch of mathematics concerned with the shape of individual objects, spatial relationships among various objects, and the properties of surrounding space. It is one of the oldest branches of mathematics, having arisen in response to such practical problems as those found insurveying, and its name is derived from Greek words meaning “Earth measurement.” Eventually it was realized that geometry need not be limited to the study of flat surfaces (plane geometry) and rigid three-dimensional objects (solid geometry) but that even the most abstract thoughts and images might be represented and developed in geometric terms.
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HISTORY OF SOLID GEOMETRY
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 developed following the development of plane geometry. Stereometry deals with the measurements of volumes of various solid figures including cylinder, circular cone, truncated cone, sphere, and prisms.
The Pythagoreans had 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.[1]
http://en.wikipedia.org/wiki/Solid_geometry
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 developed following the development of plane geometry. Stereometry deals with the measurements of volumes of various solid figures including cylinder, circular cone, truncated cone, sphere, and prisms.
The Pythagoreans had 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.[1]
http://en.wikipedia.org/wiki/Solid_geometry
Solid Geometry is the geometry of three-dimensional space,
the kind of space we live in ...Three DimensionsIt is called three-dimensional, or 3Dbecause there are three dimensions:width, depth and height.
Simple ShapesLet us start with some of the simplest shapes:
Common 3D Shapes
PropertiesSolids have properties (special things about them), such as:
Polyhedra :
(they must have flat faces) Cubes and
Cuboids (Volume
of a Cuboid) Platonic Solids Prisms Pyramids Non-Polyhedra:
(if any surface is not flat)SphereTorusCylinderConeEuler's Theorem
http://www.mathsisfun.com/geometry/cuboids-rectangular-prisms.html
the kind of space we live in ...Three DimensionsIt is called three-dimensional, or 3Dbecause there are three dimensions:width, depth and height.
Simple ShapesLet us start with some of the simplest shapes:
Common 3D Shapes
PropertiesSolids have properties (special things about them), such as:
- volume (think of how much water it could hold)
- surface area (think of the area you would have to paint)
- how many vertices (corner points), faces and edges they have
Polyhedra :
(they must have flat faces) Cubes and
Cuboids (Volume
of a Cuboid) Platonic Solids Prisms Pyramids Non-Polyhedra:
(if any surface is not flat)SphereTorusCylinderConeEuler's Theorem
http://www.mathsisfun.com/geometry/cuboids-rectangular-prisms.html
Solid Geometry is the geometry of three-dimensional space,
the kind of space we live in ..Three Dimensions It is called three-dimensional, or 3D because there are three dimensions: width, depth and height.
Properties Solids have properties (special things about them), such as:
the kind of space we live in ..Three Dimensions It is called three-dimensional, or 3D because there are three dimensions: width, depth and height.
Properties Solids have properties (special things about them), such as:
- volume (think of how much water it could hold)
- surface area (think of the area you would have to paint)
- how many vertices (corner points), faces and edges.
Polyhedra and Non-Polyhedra