Both classes extend the ideas of Euclidean geometry taught in a standard high school to include the basics of spherical and hyperbolic geometry. In both, she emphasized modern applications of both ...

The course presents a rigorous treatment of the foundations of Euclidean and non-Euclidean geometries. The discovery of non-Euclidean geometry in the first half of the 19th century shattered the ...

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 ...

Summary In this groundbreaking study, first published in 1983 and unavailable for over a decade, Linda Dalrymple Henderson demonstrates that two concepts of space beyond immediate perception - the ...

It took the genius of Gauss to spot its fundamental nature and to introduce the term "non-Euclidean geometry". Spherical geometry is just one flavour of non-Euclidean geometry.

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 ...

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.