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Euclidean geometry is the kind of geometry we normally study at school, whereas non-Euclidean geometries are all those that reject one or more of Euclid's five postulates.
In the 1800’s, leading mathematicians developed non-Euclidean geometry - which changed everything that people thought they knew about geometry.
A team of artists and mathematicians has just created a non-Euclidean virtual-reality universe where the usual rules of geometry and physics don't apply.
On the other hand, Gauss was interested in the theory of parallels from at least 1799; and some time between 1808 and 1816 he arrived at the belief that non-Euclidean geometry was possibly true ...
Spherical geometry is just one flavour of non-Euclidean geometry. Defining other metrics for the distance between neighbouring points, we can construct entirely new geometries.
A team of artists and mathematicians has just created a non-Euclidean virtual-reality universe where the usual rules of geometry and physics don't apply.
THE two books under notice together constitute an excellent introduction to non-Euclidean geometry in all its aspects. The lectures of F. Klein now appear in print for the first time under the ...