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. Twodimensional Euclidean geometry is called plane geometry, and threedimensional Euclidean geometry is called solid geometry. Hilbert proved the consistency of Euclidean geometry.
NonEuclidean geometry  Wikipedia
In mathematics, nonEuclidean 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, nonEuclidean 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)
If you enjoyed proofs in high school geometry, this will be a pleasure to work through. Without being bogged down by calculations or coordinates, this book presents some of the more famous (to contest participants) and advanced theorems of Euclidean geometry.
NonEuclidean Geometry (Mathematical Association of ...
'No living geometer writes more clearly and beautifully about difficult topics than world famous Professor H. S. M. Coxeter. When nonEuclidean geometry was first developed, it seemed little more than a curiosity with no relevance to the real world.
NonEuclidean 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 nonEuclidean geometries are called hyperbolic geometry (or LobachevskyBolyaiGauss geometry) and ...
Geometry  mathematics  Britannica.com
By the late 19th century the hegemony of Euclidean geometry had been challenged by nonEuclidean 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 AChangin'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 ...
