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Euclidean geometry - Wikipedia
Euclidean geometry is a mathematical system attributed to Alexandrian Greek mathematician Euclid, which he described in his textbook on geometry: the Elements.Euclid's method consists in assuming a small set of intuitively appealing axioms, and deducing many other propositions from these.Although many of Euclid's results had been stated by earlier mathematicians, Euclid was the first to show ...
Euclidean Geometry -- from Wolfram MathWorld
A geometry in which Euclid's fifth postulate holds, sometimes also called parabolic geometry. Two-dimensional Euclidean geometry is called plane geometry, and three-dimensional Euclidean geometry is called solid geometry. Hilbert proved the consistency of Euclidean geometry.
Non-Euclidean geometry - Wikipedia
In mathematics, non-Euclidean geometry consists of two geometries based on axioms closely related to those specifying Euclidean geometry.As Euclidean geometry lies at the intersection of metric geometry and affine geometry, non-Euclidean geometry arises when either the metric requirement is relaxed, or the parallel postulate is replaced with an alternative one.
Advanced Euclidean Geometry (Dover Books on Mathematics)
Recently Dover has reissued two classics on Euclidean geometry, College Geometry: An Introduction to the Modern Geometry of the Triangle and the Circle (Dover Books on Mathematics) and this book. Both books were originally issued in the first half of the 20th century and both were aimed at a college level audience.
Non-Euclidean Geometry (Mathematical Association of ...
'No living geometer writes more clearly and beautifully about difficult topics than world famous Professor H. S. M. Coxeter. When non-Euclidean geometry was first developed, it seemed little more than a curiosity with no relevance to the real world.
Non-Euclidean Geometry -- from Wolfram MathWorld
In three dimensions, there are three classes of constant curvature geometries. All are based on the first four of Euclid's postulates, but each uses its own version of the parallel postulate. The "flat" geometry of everyday intuition is called Euclidean geometry (or parabolic geometry), and the non-Euclidean geometries are called hyperbolic geometry (or Lobachevsky-Bolyai-Gauss geometry) and ...
Geometry | mathematics | Britannica.com
By the late 19th century the hegemony of Euclidean geometry had been challenged by non-Euclidean geometry and projective geometry. The first notable attempt to reorganize the study of geometry was made by the German mathematician Felix Klein and published at Erlangen in 1872.
KSEG Free Interactive Geometry Software - mit.edu
KSEG Free Interactive Geometry Software Update: May 1, 2007 -- Mongolian Batnasan sent me a translation into Mongolian. Update: Februrary 3, 2006 -- KSEG 0.403 and Traditional Chinese I finally got around to a bit of maintenance on KSEG: it now uses qmake for building and should build on Qt 3.x without the compatibility headers.
19th Century Mathematics - The Story of Mathematics
The 19th Century saw an unprecedented increase in the breadth and complexity of mathematical concepts. Both France and Germany were caught up in the age of revolution which swept Europe in the late 18th Century, but the two countries treated mathematics quite differently.
The Times They Are A-Changin'-Bob Dylan - YouTube
Come gather 'round people Wherever you roam And admit that the waters Around you have grown And accept it that soon You'll be drenched to the bone If your time to you is worth savin' Then you ...