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Topic: Noneuclidean geometries


  
  Encyclopedia :: encyclopedia : Triangle   (Site not responding. Last check: 2007-11-01)
A triangle is one of the basic shapes of geometry: a two-dimensional figure with three vertices and three sides which are straight line segments.
In Euclidean geometry, the sum of the angles α + β + γ is equal to two right angles (180° or π radians).
Geometers also study non-planar triangles in noneuclidean geometries, such as spherical triangles in spherical geometry and hyperbolic triangles in hyperbolic geometry.
www.hallencyclopedia.com /Triangle   (2811 words)

  
 Triangle
A triangle is one of the basic shapes of geometry: a polygon with three vertices and three sides which are straight line segments.
In Euclidean geometry, the sum of the internal angles α + β + γ is equal to two right angles (180° or π radians).
While all regular, planar (two dimensional) triangles contain angles that add up to 180°, there are cases in which the angles of a triangle can be greater than or less than 180°.
www.brainyencyclopedia.com /encyclopedia/t/tr/triangle.html   (2205 words)

  
 Geometry.Net - Basic_Math: Analytic Geometry
Research topic Complex Analysis and Analytic Geometry belong closely together and are one of the few fields in the center of pure mathematics with many applications to other areas of pure mathematics (algebraic geometry, differential geometry, dynamical systems, P.D.E., topology, number theory, etc.) and applied Mathematics (theoritical physics, geophysics, mathematical economy, tomography).
Analytic geometry is also called coordinate geometry since the objects are described as -tuples of points (where in the plane and 3 in space) in some coordinate system SEE ALSO: Argand Diagram Cartesian Coordinates Cartesian Geometry Complex Plane...
Extractions: Analytic geometry, also called coordinate geometry and earlier referred to as Cartesian geometry, is the study of geometry using the principles of algebra.
www5.geometry.net /basic_math/analytic_geometry.html   (2118 words)

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